Question: What is the height of this building in metre?

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Batu Caves Murugan Statue. Batu Caves Murugan Statue (Tamil: முருகன் சிலை; Bahasa Malaysia: Tugu Dewa Murugga), is the tallest statue of a Hindu deity in Malaysia and third tallest statue of a Hindu deity in the world, after Garuda Wisnu Kencana Statue in Indonesia and Kailashnath Mahadev Statue in Nepal. It is also the tallest statue in Malaysia at 42.7 metres (140 ft) in height. The statue was built by Tamil Malaysians. It took three years to construct, and was unveiled in January 2006 during Thaipusam festival. The managing authority of the temple rests with the Tamil descendants. Inspired by this statue, 146 ft.


Question: What is the source of energy of this equipment?

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Chainsaw. A chainsaw (or chain saw) is a portable gasoline-, electric-, or battery-powered saw that cuts with a set of teeth attached to a rotating chain driven along a guide bar. It is used in activities such as tree felling, limbing, bucking, pruning, cutting firebreaks in wildland fire suppression, and harvesting of firewood. Chainsaws with specially designed bar-and-chain combinations have been developed as tools for use in chainsaw art and chainsaw mills. Specialized chainsaws are used for cutting concrete during construction developments. Chainsaws are sometimes used for cutting ice; for example, ice sculpture and winter swimming in Finland.## History.## In surgery.The.

Chainsaw. to Samuel J. Bens of San Francisco on January 17, 1905, his intent being to fell giant redwoods. The first portable chainsaw was developed and patented in 1918 by Canadian millwright James Shand. After he allowed his rights to lapse in 1930, his invention was further developed by what became the German company Festo in 1933. The company, now operating as Festool, produces portable power tools. Other important contributors to the modern chainsaw are Joseph Buford Cox and Andreas Stihl; the latter patented and developed an electric chainsaw for use on bucking sites in 1926 and a gasoline-powered chainsaw in.

Chainsaw. 1929, and founded a company to mass-produce them. In 1927, Emil Lerp, the founder of Dolmar, developed the world's first gasoline-powered chainsaw and mass-produced them.World War II interrupted the supply of German chain saws to North America, so new manufacturers sprang up, including Industrial Engineering Ltd (IEL) in 1939, the forerunner of Pioneer Saws Ltd and part of Outboard Marine Corporation, the oldest manufacturer of chainsaws in North America.In 1944, Claude Poulan was supervising German prisoners cutting pulpwood in East Texas. Poulan utilized an old truck fender and fashioned it into a curved piece utilized to guide the chain. The.

Chainsaw. man-powered saws in forestry. They are made in many sizes, from small electric saws intended for home and garden use, to large "lumberjack" saws. Members of military engineer units are trained to use chainsaws, as are firefighters to fight forest fires and to ventilate structure fires.Three main types of chainsaw sharpeners are used: handheld file, electric chainsaw, and bar-mounted.The first electric chainsaw was invented by Stihl in 1926. Corded chainsaws became available for sale to the public from the 1960s onwards, but these were never as successful commercially as the older gas-powered type due to limited range, dependency upon the.

Chainsaw. presence of an electrical socket, plus the health and safety risk of the blade's proximity to the cable.For most of the early 21st century petrol driven chainsaws remained the most common type, but they faced competition from cordless lithium battery powered chainsaws from the late 2010s onwards. Although most cordless chainsaws are small and suitable only for hedge trimming and tree surgery, Husqvarna and Stihl began manufacturing full size chainsaws for cutting logs during the early 2020s. Battery powered chainsaws should eventually see increased market share in California due to state restrictions planned to take effect in 2024 on gas.

Chainsaw. powered gardening equipment.## Construction.A chainsaw consists of several parts:## Engine.Chainsaw engines are traditionally either a two-stroke gasoline (petrol) internal combustion engine (usually with a cylinder volume of 30 to 120 cm3) or an electric motor driven by a battery or electric power cord. In a petrol chainsaw, fuel is generally supplied to the engine by a carburetor at the intake.To allow use in any orientation, modern gas chainsaws use a diaphragm carburetor, which draws fuel from the tank using the alternating pressure differential within the crankcase. Early engines used carburetors with gravity fed float chambers, which caused the engine to.

Chainsaw. the garment.## Maintenance.Two-stroke chainsaws require about 2–5% of oil in the fuel to lubricate the engine, while the motor in electrical chain-saws is normally lubricated for life. Most modern gasoline-operated saws today require a fuel mix of 2% (1:50). Gasoline that contains ethanol can result in problems for the equipment because ethanol dissolves plastic, rubber, and other material. This leads to problems, especially on older equipment. A workaround for this problem is to run fresh fuel only and run the saw dry at the end of the work.Separate chain oil or bar oil is used for the lubrication of the.

Chainsaw. or steel spring was introduced. Heated handles are additional help. Newer, lighter, and easier to wield cordless electric chainsaws use brushless motors, which further decrease noise and vibration compared to traditional petroleum-powered models.The risks associated with chainsaw use mean that protective clothing such as chainsaw boots, chaps, and hearing protectors are normally worn while operating them, and many jurisdictions require that operators be certified or licensed to work with chainsaws. Injury can also result if the chain breaks during operation due to poor maintenance or attempting to cut inappropriate materials.Gasoline-powered chainsaws expose operators to harmful carbon monoxide gas, especially indoors.

Chainsaw. to cut bulk wood into planks or boards. Such usage is called a chainsaw mill or Alaskan sawmill.## Cutting stone, concrete, and brick.Special chainsaws can cut concrete, brick, and natural stone. These use similar chains to ordinary chainsaws, but with cutting edges embedded with diamond grit. They may use gasoline or hydraulic power, and the chain is lubricated with water, because of high friction and to remove stone dust. The machine is used in construction, for example, in cutting deep, square holes in walls or floors, in stone sculpture for removing large chunks of stone during pre-carving, by fire departments.


Question: How many elevators does this have?

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30 St Mary Axe. accepted.## Planning process.John Prescott, the Deputy Prime Minister, granted planning permission on 23 August 2000 to construct a building on the site, which would be much larger than the old Exchange. The site needed development, was not on any of the "sight lines" (planning guidance requires that new buildings do not obstruct or detract from the view of St Paul's Cathedral dome when viewed from a number of locations around London), and had housed the Baltic Exchange.The plan for the site was to reconstruct the Baltic Exchange. GMW Architects proposed a new rectangular building surrounding a restored exchange: it would.


Question: What is the closest parent taxonomy of this animal?

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Okenia rosacea. Okenia rosacea common name Hopkin's Rose nudibranch, is a species of sea slug, specifically a dorid nudibranch, a marine gastropod mollusc in the family Goniodorididae.## Distribution.This species was described from Monterey Bay, California. It can be found along the coast of western North America from Oregon to Baja California.## Description.These pink sea slugs are characterized by numerous long papillae on their back, tapering into a round tip. These papillae are sometimes more or less white at their tips. This pink color is produced by the xanthophyllic pigment hopkinsiaxanthin, most likely obtained through feeding on the cheilostomatous bryozoan, "Integripelta bilabiata".The mantle,.

Okenia rosacea. foot and the head are merged into one entity with a flattened profile. The oral tentacles are lacking. The 20 gills are situated around the anal papillae and are somewhat shorter.The shape of the taenioglossan radula is unique in this family, as the middle tooth is large and elongate, ending in a hook-like tip. The lateral teeth are small and are actually reduced to a rudimentary plate. Bertsch H. (1989). "Life history of the intertidal Californian nudibranch "Hopkinsia rosacea" MacFarland, 1905. Western Society of Malacologists, Annual Report, 21:19-20. Gordon D. P., Mawatari S. F. & Kajihara H. (2002). "New taxa.

Okenia rosacea. of Japanese and New Zealand Eurystomellidae (Phylum Bryozoa) and their phylogenetic relationships". "Zoological Journal of the Linnean Society" 136: 199-216. Rudman W. B. (2004). "Further species of the opisthobranch genus "Okenia" (Nudibranchia: Goniodorididae) from the Indo-West Pacific". "Zootaxa" 695: 1-70. Strain H. H. (1949). "Hopkinsiaxanthin, a xanthophyll of the sea slug "Hopkinsia rosacea"". "Biological Bulletin" 97(1):206-209. Turgeon, D.; Quinn, J.F.; Bogan, A.E.; Coan, E.V.; Hochberg, F.G.; Lyons, W.G.; Mikkelsen, P.M.; Neves, R.J.; Roper, C.F.E.; Rosenberg, G.; Roth, B.; Scheltema, A.; Thompson, F.G.; Vecchione, M.; Williams, J.D. (1998). "Common and scientific names of aquatic invertebrates from the United States and Canada:.

Okenia rosacea. mollusks." 2nd ed. American Fisheries Society Special Publication, 26. American Fisheries Society: Bethesda, MD (USA). . IX, 526 + cd-rom page: 125.


Question: Which location has this animal invaded?

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Cane toad. The cane toad (Rhinella marina), also known as the giant neotropical toad or marine toad, is a large, terrestrial true toad native to South and mainland Central America, but which has been introduced to various islands throughout Oceania and the Caribbean, as well as Northern Australia. It is a member of the genus "Rhinella", which includes many true toad species found throughout Central and South America, but it was formerly assigned to the genus "Bufo".The cane toad is an old species. A fossil toad (specimen UCMP 41159) from the La Venta fauna of the late Miocene in Colombia is indistinguishable.

Cane toad. from modern cane toads from northern South America. It was discovered in a floodplain deposit, which suggests the "R. marina" habitat preferences have long been for open areas. The cane toad is a prolific breeder; females lay single-clump spawns with thousands of eggs. Its reproductive success is partly because of opportunistic feeding: it has a diet, unusual among anurans, of both dead and living matter. Adults average 10 – 15 (cm) in length; the largest recorded specimen had a snout-vent length of 24 (cm).The cane toad has poison glands, and the tadpoles are highly toxic to most animals if ingested.

Cane toad. Its toxic skin can kill many animals, both wild and domesticated, and cane toads are particularly dangerous to dogs. Because of its voracious appetite, the cane toad has been introduced to many regions of the Pacific and the Caribbean islands as a method of agricultural pest control. The common name of the species is derived from its use against the cane beetle ("Dermolepida albohirtum"), which damages sugar cane. The cane toad is now considered a pest and an invasive species in many of its introduced regions. The 1988 film "" documented the trials and tribulations of the introduction of cane.

Cane toad. toads in Australia.## Taxonomy.Historically, the cane toads were used to eradicate pests from sugarcane, giving rise to their common name. The cane toad has many other common names, including "giant toad" and "marine toad"; the former refers to its size, and the latter to the binomial name, "R. marina". It was one of many species described by Carl Linnaeus in his 18th-century work "Systema Naturae" (1758). Linnaeus based the specific epithet "marina" on an illustration by Dutch zoologist Albertus Seba, who mistakenly believed the cane toad to inhabit both terrestrial and marine environments. Other common names include "giant neotropical toad",.

Cane toad. "Dominican toad", "giant marine toad", and "South American cane toad". In Trinidadian English, they are commonly called "crapaud", the French word for toad.The genus "Rhinella" is considered to constitute a distinct genus of its own, thus changing the scientific name of the cane toad. In this case, the specific name "marinus" (masculine) changes to "marina" (feminine) to conform with the rules of gender agreement as set out by the International Code of Zoological Nomenclature, changing the binomial name from "Bufo marinus" to "Rhinella marina"; the binomial "Rhinella marinus" was subsequently introduced as a synonym through misspelling by Pramuk, Robertson, Sites,.

Cane toad. and Noonan (2008). Though controversial (with many traditional herpetologists still using "Bufo marinus") the binomial "Rhinella marina" is gaining in acceptance with such bodies as the IUCN, Encyclopaedia of Life, Amphibian Species of the World and increasing numbers of scientific publications adopting its usage.Since 2016, cane toad populations native to Mesoamerica and northwestern South America are sometimes considered to be a separate species, "Rhinella horribilis".In Australia, the adults may be confused with large native frogs from the genera "Limnodynastes", "Cyclorana", and "Mixophyes". These species can be distinguished from the cane toad by the absence of large parotoid glands behind their.

Cane toad. eyes and the lack of a ridge between the nostril and the eye. Cane toads have been confused with the giant burrowing frog ("Heleioporus australiacus"), because both are large and warty in appearance; however, the latter can be readily distinguished from the former by its vertical pupils and its silver-grey (as opposed to gold) irises. Juvenile cane toads may be confused with species of the genus "Uperoleia", but their adult colleagues can be distinguished by the lack of bright colouring on the groin and thighs.In the United States, the cane toad closely resembles many bufonid species. In particular, it could.

Cane toad. be confused with the southern toad ("Bufo terrestris"), which can be distinguished by the presence of two bulbs in front of the parotoid glands.## Genetics.The cane toad genome has been sequenced and certain Australian academics believe this will help in understanding how the toad can quickly evolve to adapt to new environments, the workings of its infamous toxin, and hopefully provide new options for halting this species' march across Australia and other places it has spread as an invasive pest.## Description.Considered the largest species in the Bufonidae, the cane toad is very large; the females are significantly longer than males,.

Cane toad. toads lose the toxicity that protected them as eggs and tadpoles, but have yet to fully develop the parotoid glands that produce bufotoxin. Only an estimated 0.5% of cane toads reach adulthood, in part because they lack this key defense - but also due to tadpole cannibalism. Although cannibalism does occur in the native population in South America, the rapid evolution occurring in the unnaturally large population in Australia has produced tadpoles 30x more likely to be "interested" in cannibalising their siblings, and 2.6x more likely to actually "do so". They have also evolved to shorten their tadpole phase in.

Cane toad. consumption of cane toads. Dogs are especially prone to be poisoned by licking or biting toads. Pets showing excessive drooling, extremely red gums, head-shaking, crying, loss of coordination, and/or convulsions require immediate veterinary attention.Bufotenin, one of the chemicals excreted by the cane toad, is classified as a schedule 9 drug under Australian law, alongside heroin and LSD. The effects of bufotenin are thought to be similar to those of mild poisoning; the stimulation, which includes mild hallucinations, lasts less than an hour. As the cane toad excretes bufotenin in small amounts, and other toxins in relatively large quantities, toad licking.

Cane toad. could result in serious illness or death.In addition to releasing toxin, the cane toad is capable of inflating its lungs, puffing up, and lifting its body off the ground to appear taller and larger to a potential predator.Since 2011, experimenters in the Kimberley region of Western Australia have used poisonous sausages containing toad meat in an attempt to protect native animals from cane toads' deadly impact. The Western Australian Department of Environment and Conservation, along with the University of Sydney, developed these sausage-shaped baits as a tool in order to train native animals not to eat the toads. By blending.

Cane toad. bits of toad with a nausea-inducing chemical, the baits train the animals to stay away from the amphibians.## Predators.Many species prey on the cane toad and its tadpoles in its native habitat, including the broad-snouted caiman ("Caiman latirostris"), the banded cat-eyed snake ("Leptodeira annulata"), eels (family Anguillidae), various species of killifish, the rock flagtail ("Kuhlia rupestris"), some species of catfish (order Siluriformes), some species of ibis (subfamily Threskiornithinae), and "Paraponera clavata" (bullet ants).Predators outside the cane toad's native range include the whistling kite ("Haliastur sphenurus"), the rakali ("Hydromys chrysogaster"), the black rat ("Rattus rattus") and the water monitor ("Varanus salvator").

Cane toad. The tawny frogmouth ("Podargus strigoides") and the Papuan frogmouth ("Podargus papuensis") have been reported as feeding on cane toads; some Australian crows ("Corvus" spp.) have also learned strategies allowing them to feed on cane toads, such as using their beak to flip toads onto their backs.Opossums of the genus "Didelphis" likely can eat cane toads with impunity. Meat ants are unaffected by the cane toads' toxins, so are able to kill them. The cane toad's normal response to attack is to stand still and let its toxin kill the attacker, which allows the ants to attack and eat the toad.

Cane toad. to 2% of the density in Australia.## As an introduced species.The cane toad has been introduced to many regions of the world—particularly the Pacific—for the biological control of agricultural pests. These introductions have generally been well documented, and the cane toad may be one of the most studied of any introduced species.Before the early 1840s, the cane toad had been introduced into Martinique and Barbados, from French Guiana and Guyana. An introduction to Jamaica was made in 1844 in an attempt to reduce the rat population. Despite its failure to control the rodents, the cane toad was introduced to Puerto.

Cane toad. Rico in the early 20th century in the hope that it would counter a beetle infestation ravaging the sugarcane plantations. The Puerto Rican scheme was successful and halted the economic damage caused by the beetles, prompting scientists in the 1930s to promote it as an ideal solution to agricultural pests.As a result, many countries in the Pacific region emulated the lead of Puerto Rico and introduced the toad in the 1930s. Introduced populations are in Australia, Florida, Papua New Guinea, the Philippines, the Ogasawara, Ishigaki Island and the Daitō Islands of Japan, most Caribbean islands, Fiji and many other Pacific.

Cane toad. islands, including Hawaii. Since then, the cane toad has become a pest in many host countries, and poses a serious threat to native animals.## Australia.Following the apparent success of the cane toad in eating the beetles threatening the sugarcane plantations of Puerto Rico, and the fruitful introductions into Hawaii and the Philippines, a strong push was made for the cane toad to be released in Australia to negate the pests ravaging the Queensland cane fields. As a result, 102 toads were collected from Hawaii and brought to Australia. Queensland's sugar scientists released the toad into cane fields in August 1935.

Cane toad. After this initial release, the Commonwealth Department of Health decided to ban future introductions until a study was conducted into the feeding habits of the toad. The study was completed in 1936 and the ban lifted, when large-scale releases were undertaken; by March 1937, 62,000 toadlets had been released into the wild. The toads became firmly established in Queensland, increasing exponentially in number and extending their range into the Northern Territory and New South Wales. In 2010, one was found on the far western coast in Broome, Western Australia.However, the toad was generally unsuccessful in reducing the targeted grey-backed cane.

Cane toad. beetles ("Dermolepida albohirtum"), in part because the cane fields provided insufficient shelter for the predators during the day, and in part because the beetles live at the tops of sugar cane—and cane toads are not good climbers. Since its original introduction, the cane toad has had a particularly marked effect on Australian biodiversity. The population of a number of native predatory reptiles has declined, such as the varanid lizards "Varanus mertensi", "V. mitchelli", and "V. panoptes", the land snakes "Pseudechis australis" and "Acanthophis antarcticus", and the crocodile species "Crocodylus johnstoni"; in contrast, the population of the agamid lizard "Amphibolurus gilberti"—known.

Cane toad. the toads became abundant, they have done even less to control the pests than in Australia. The toad was introduced to Martinique from French Guiana before 1944 and became established. Today, they reduce the mosquito and mole cricket populations. A third introduction to the region occurred in 1884, when toads appeared in Jamaica, reportedly imported from Barbados to help control the rodent population. While they had no significant effect on the rats, they nevertheless became well established. Other introductions include the release on Antigua—possibly before 1916, although this initial population may have died out by 1934 and been reintroduced at.

Cane toad. islands in Fiji, although they tend to be smaller than their counterparts in other regions.## New Guinea.The cane toad was introduced into New Guinea to control the hawk moth larvae eating sweet potato crops. The first release occurred in 1937 using toads imported from Hawaii, with a second release the same year using specimens from the Australian mainland. Evidence suggests a third release in 1938, consisting of toads being used for human pregnancy tests—many species of toad were found to be effective for this task, and were employed for about 20 years after the discovery was announced in 1948. Initial.

Cane toad. reports argued the toads were effective in reducing the levels of cutworms and sweet potato yields were thought to be improving. As a result, these first releases were followed by further distributions across much of the region, although their effectiveness on other crops, such as cabbages, has been questioned; when the toads were released at Wau, the cabbages provided insufficient shelter and the toads rapidly left the immediate area for the superior shelter offered by the forest. A similar situation had previously arisen in the Australian cane fields, but this experience was either unknown or ignored in New Guinea. The.

Cane toad. As a laboratory animal, the cane toad has numerous advantages: they are plentiful, and easy and inexpensive to maintain and handle. The use of the cane toad in experiments started in the 1950s, and by the end of the 1960s, large numbers were being collected and exported to high schools and universities. Since then, a number of Australian states have introduced or tightened importation regulations.There are several commercial uses for dead cane toads. Cane toad skin is made into leather and novelty items. Stuffed cane toads, posed and accessorised, are merchandised at souvenir shops for tourists. Attempts have been made.

Cane toad. to produce fertiliser from toad carcasses.## Invasive species.Cane toads pose a serious threat to native species when introduced to a new ecosystem. Classified as an invasive species in over 20 countries, multiple reports exist of the cane toad moving into a new area to be followed by a decline in the biodiversity in that region. The most documented region of the cane toad's invasion and subsequent effect on native species is Australia, where multiple surveys and observations of the toad's conquest have been completed. The best way to illustrate this effect is through the plight of the northern quoll, as.

Cane toad. the quoll population began at the Mary River ranger station using radio tracking in 2002, months before the first cane toads arrived at the site. After the arrival of the cane toads, the population of northern quolls in the Mary River site plummeted between October and December 2002, and by March 2003, the northern quoll appeared to be extinct in this section of the park, as no northern quolls were caught in the trapping trips in the following two months. In contrast, the population of northern quolls in the control site at the East Alligator ranger station remained relatively constant,.

Cane toad. not showing any symptoms of declining. The evidence from the Kakadu National Park is compelling not only because of the timing of the population of northern quolls plummeting just months after the arrival of the cane toad, but also because in the Mary River region 31% of mortalities within the quoll population were attributed to lethal toxic ingestion, as no signs of disease, parasite infestation, or any other obvious changes at the site were found that could have caused such a rapid decline. The most obvious evidence that supports the hypothesis that the invasion of the cane toads caused the.


Question: What is the closest upper taxonomy of this plant?

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Acer macrophyllum. Acer macrophyllum, the bigleaf maple or Oregon maple, is a large deciduous tree in the genus "Acer".It is native to western North America, mostly near the Pacific coast, from southernmost Alaska to southern California. Some stands are also found inland in the foothills of the Sierra Nevada mountains of central California, and a tiny population occurs in central Idaho.## Description.Bigleaf maple can grow up to 158 (ft) tall, but more commonly reaches 15 - 20 (m) tall and 90-120 (cm). The species' current national champion for size is located in Lane County, Oregon. It is 119 (ft) tall with a.

Acer macrophyllum. crown spread of 91 (ft), with an average diameter at breast height (dbh) of about 3.7 (m). The previous national champion is located in Marion, Oregon, and is 88 (ft) tall with a crown spread of 104 (ft), with an average dbh of about 2.5 (m). The bark is gray brown, darkening and developing ridges with age.The bigleaf maple has the largest leaves of any maple, typically 15 - 30 (cm) across with five deeply incised palmate lobes, with the largest running to 61 (cm). The stems are 15-30 (cm) long and contain milky sap. In autumn, the leaves turn.

Acer macrophyllum. gold and yellow, contrasting against backdrops of evergreen conifers.In spring, the tree produces flowers in pendulous racemes 10 - 15 (cm) long, greenish-yellow with inconspicuous petals. It is hermaphroditic, bearing both male and female flowers in each raceme. The flowers appear in early spring, before the leaves.The fruit is a paired winged samara, each seed 1 - 1.5 (cm) in diameter with a 4 - 5 (cm) wing. Bigleaf maple begins bearing seed at about ten years of age.In May 2018 the oldest two Oregon maples in Europe, 175 years old, were removed from Trinity College Dublin (TCD), Ireland. The.

Acer macrophyllum. first had an interior which was beginning to rot, and it fell after inclement windy weather. The second, also infected, was cut down as the same fate was expected. Both were in the adjoining grassy area which was originally the cemetery of All Hallows and is now the Front Square of TCD.## Chemical constituents.The fallen leaves, blossoms, and seeds are concentrated with potassium, calcium, and other nutrients.## Distribution and habitat.Bigleaf maple can be found west of British Columbia's Coast Ranges and the Cascade Range, from Vancouver Island to California. It usually grows from sea level to elevations of 450 (m),.

Acer macrophyllum. and more exceptionally 1200 (m). It can form pure stands on moist soils in proximity to streams, but are generally found within riparian hardwood forests or dispersed, (under or within), relatively open canopies of conifers, mixed evergreens, or oaks ("Quercus" spp.) In cool and moist temperate mixed woods they are one of the dominant species. It is very rare north of Vancouver Island though cultivated in Prince Rupert, near Ketchikan, and in Juneau.## Ecology.The tree can live in a wide range of habitats, but thrives in fairly well-hydrated hardwood forests, occurring with red alder, black cottonwood, and willows. It is.

Acer macrophyllum. fairly shade tolerant, but not as much so as vine maple, and benefits from disturbances.It is not considered to be fire-resistant due to its thin bark, but large trees with thick bark may survive moderate fires. Along with red alder, bigleaf maple often dominates early postfire succession in Douglas-fir forests, and fire can increase its forest presence. It spreads and grows vegetatively from cuttings and stumps of any size in a prolific manner.Insects fertilize the tree's flowers. The winged fruits are eaten by squirrels, and by grosbeaks in the winter. Deer mice have been observed consuming bigleaf maple seeds in.

Acer macrophyllum. the spring in the Sierra Nevada. The foliage is browsed by ungulates such as black-tailed deer, mule deer, elk, and horses, as well as by mountain beavers and other rodents.A western Oregon study found that 60% of bigleaf maple seedlings over 10 (in) tall had been browsed by deer, most several times.Bigleaf maple is preferred as habitat by the barred owl, and the presence of the tree is positively associated with Hammond's flycatchers.In the wetter parts of its range, such as in the Olympic National Park and lowland forest around Puget Sound, the bark is often covered with epiphytes such.

Acer macrophyllum. as club moss and licorice fern"."Older trees suffer from heart rot.'Mocha Rose' — foliage in various shades of pink over growing season; red flowers'Santiam Snows' — green leaves speckled with white'Seattle Sentinel' — upright, columnar plant habit## Uses.Native Americans grew sprouts from the seeds for consumption, wove baskets from the inner bark, and used the leaves to cover food in cooking pits. They also carved the wood into dishes, utensils, and canoe paddles.Maple syrup has been made from the sap of bigleaf maple trees. While the sugar concentration is about the same as in "Acer saccharum" (sugar maple), the flavor.

Acer macrophyllum. is somewhat different. Interest in commercially producing syrup from bigleaf maple sap has been limited. Although not traditionally used for syrup production, it takes about 40 volumes of sap to produce 1 volume of maple syrup.## Lumber.The bigleaf maple is the only commercially important maple of the Pacific Coast region.The wood is primarily used in veneer production for furniture, but is also used in musical instrument production (including piano frames), interior paneling, and other hardwood products; the heartwood is light reddish-brown, fine-grained, moderately heavy, and fairly robust.In California, land managers do not highly value bigleaf maples, and they are often.

Acer macrophyllum. intentionally knocked over and left un-harvested during harvests for Douglas fir and redwood stands. photo of herbarium specimen at Missouri Botanical Garden, collected in Yolo County, California, in 1903.


Question: What is the closest upper taxonomy of this plant?

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Centaurea cineraria. Centaurea cineraria, the velvet centaurea, is – like some other plants – also known as dusty miller and silver dust. It is a small plant in the family Asteraceae and originates from the Island of Capraia in Italy, where it is called fiordaliso delle scogliere.The mature plants will grow from 15 to 60 (cm). They prefer full sun, but will tolerate light shade, and also prefers average to rich well-drained soil."Centaurea cineraria" will produce small white or yellow flowers in summer, but these are usually trimmed because the plant is normally grown as foliage.Depending on climate, it can be grown.

Centaurea cineraria. as either an annual or as a perennial."Centaurea cineraria" is polymorphic in several characters, and the high variation within populations gives rise to many subspecies which causes "C. cineraria" to be referred to under a wide variety of different synonyms.Common cultivars include:'Silver Dust', 'Silver Lace' and 'Cirrus'. The image above the scientific classification is a plant of the 'Silver Lace' cultivar."Centaurea cineraria" is sometimes referred to as "Centaurea gymnocarpa," as a hybrid species between the two is used in gardens as an ornamental plant. However, in the wild, the two may be considered different species.In the UK "Centaurea cineraria" subsp.

Centaurea cineraria. "cineraria" has gained the Royal Horticultural Society's Award of Garden Merit. Cela Renzoni G, Viegi L.. 1983. Centaurea cineraria s.l. (Asteraceae) in Italia: revisione citotassonomica.. Atti della Società Toscana di Scienze Naturali. Memorie serie B, 89: pp. 99–144. Società Toscana di Scienze Naturali, Pisa. Ellis, Barbara W., "Taylor's Guide to Annuals, How to Select and Grow More Than 400 Annuals, Biennials, and Tender Perennials", 1999 Haughton Mifflin Company, New York, NY Armitage, Allan M., "Armitage's Manual of Annuals, Biennials, and Half-Hardy Perennials", illustrated Asha Kays and Chris Johnson, 2001 Timber Press Inc., Singapore United States Department of Agriculture.


Question: What country does this object belong to?

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Seven Wonders of the Ancient World. The Seven Wonders of the Ancient World (also known as the Seven Wonders of the World or simply the Seven Wonders) is a list of seven notable structures present during classical antiquity. The first known list of seven wonders dates back to the 2nd–1st century BC.While the entries have varied over the centuries, the seven traditional wonders are the Great Pyramid of Giza, the Colossus of Rhodes, the Lighthouse of Alexandria, the Mausoleum at Halicarnassus, the Temple of Artemis, the Statue of Zeus at Olympia, and the Hanging Gardens of Babylon. Using modern-day countries, two of the wonders were located.

Seven Wonders of the Ancient World. in Greece, two in Turkey, two in Egypt, and one in Iraq. Of the seven wonders, only the Pyramid of Giza, which is also by far the oldest of the wonders, still remains standing, with the others being destroyed over the centuries. There is scholarly debate over the exact nature of the Hanging Gardens, and there is doubt as to whether they existed at all. ## Background.Alexander the Great's conquest of much of the western world in the 4th century BC gave Hellenistic travellers access to the civilizations of the Egyptians, Persians, and Babylonians. Impressed and captivated by the landmarks.

Seven Wonders of the Ancient World. including six of the present list (substituting the walls of Babylon for the Lighthouse of Alexandria):Another 2nd century BC writer, who, perhaps dubiously, identified himself as Philo of Byzantium, wrote a short account entitled "The Seven Sights of the World". The surviving manuscript is incomplete, missing its last pages. Still, from the preamble text, we can conclude that the list of seven sights exactly matches Antipater's (the preamble mentions the location of Halicarnassus, but the pages describing the seventh wonder, presumably the Mausoleum, are missing).Earlier and later lists by the historian Herodotus ( BC– BC) and the poet Callimachus of.

Seven Wonders of the Ancient World. with the exceptions being the Pyramids of Giza and the Hanging Gardens of Babylon.## Influence.## Arts and architecture.The seven wonders on Antipater's list won praises for their notable features, ranging from superlatives of the highest or largest of their types, to the artistry with which they were executed. Their architectural and artistic features were imitated throughout the Hellenistic world and beyond.The Greek influence in Roman culture, and the revival of Greco-Roman artistic styles during the Renaissance caught the imagination of European artists and travellers. Paintings and sculptures alluding to Antipater's list were made, while significant numbers of adventurers travelled to.


Question: What is the length of the wingspan in centimetre of this bird?

Instruction: Determine the Wikipedia snippet that matches the question of this image.

Common kingfisher. shape. The adult male of the western European subspecies, "A. a. ispida" has green-blue upperparts with pale azure-blue back and rump, a rufous patch by the bill base, and a rufous ear-patch. It has a green-blue neck stripe, white neck blaze and throat, rufous underparts, and a black bill with some red at the base. The legs and feet are bright red. It is about 16 (cm) long with a wingspan of 25 (cm), and weighs 34 - 46 (g). The female is identical in appearance to the male except that her lower mandible is orange-red with a black tip.

Common kingfisher. two eggs in most clutches fail to hatch because the parent cannot cover them. Both sexes incubate by day, but only the female incubates at night. An incubating bird sits trance-like, facing the tunnel; it invariably casts a pellet, breaking it up with the bill. The eggs hatch in 19–20 days, and the altricial young are in the nest for a further 24–25 days, often more. Once large enough, young birds will come to the burrow entrance to be fed. Two broods, sometimes three, may be reared in a season.## Survival.The early days for fledged juveniles are more hazardous; during.

Common kingfisher. as it searches for prey. It bobs its head when food is detected to gauge the distance and plunges steeply down to seize its prey usually no deeper than 25 (cm) below the surface. The wings are opened underwater and the open eyes are protected by the transparent third eyelid. The bird rises beak-first from the surface and flies back to its perch. At the perch the fish is adjusted until it is held near its tail and beaten against the perch several times. Once dead, the fish is positioned lengthways and swallowed head-first. A few times each day, a.

Common kingfisher. intake was 73.5 kJ per chick (i.e., 1837 kJ per 25 days of the fledging period).A challenge for any diving bird is the change in refraction between air and water. The eyes of many birds have two foveae (the fovea is the area of the retina with the greatest density of light receptors), and a kingfisher can switch from the main central fovea to the auxiliary fovea when it enters water; a retinal streak of high receptor density which connects the two foveae allows the image to swing temporally as the bird drops onto the prey. The egg-shaped lens of.


Question: What is the closest upper taxonomy of this plant?

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Cocculus carolinus. Cocculus carolinus, commonly called the Carolina coralbead, or snailseed, is a perennial vine of the moonseed family (Cocculus). It is native to North America, where it is found in Mexico and in several states in the United States from the Southeast to the Midwest. The species' common name derives from the appearance of its small, rounded red fruits, and the rough half-moon shape of its seeds. ## Description."Cocculus carolinus" is a climbing vine reaching 5 meters or more. It produces ovate or triangle-shaped leaves. The male and female flowers are small and green, appearing on different plants. The bright red.

Cocculus carolinus. fruit, a drupe, appears from June to August. It reaches 8 mm in size. Each fruit has a single seed that resembles a small snail shell, protected by the hard endocarp or the inner section of the ovary wall.## Distribution.This species is native from northern Florida to Mexico, north to North Carolina, Kentucky, southern Illinois and southeast Kansas. Its natural habitat is in rocky woodlands and streamside thickets, particularly in calcareous areas. It is a weedy species, and can also be found in disturbed habitats such as fencerows and waste areas.## Cultivation.The flowers are small and plentiful. At a young.

Cocculus carolinus. age Carolina coralbead appear greenish. The seeds need cold stratification of three months. Seeds germinate in 21 to 30 days at 68 °F. The plant blooms in late spring and the fruits, abundant bright red berries, are mature by late summer. Admiring its scarlet fruits, landscapers sometimes allow it to grow on trellises, fences or let it naturally spread among other weeds and shrubs. This plant can be fast-growing and difficult to eradicate.## Chemical components.Through photochemical analysis using spectral and mixed-melting comparison, the stems and leaves of "Cocculus carolinus" were found to contain the following compounds: two cyclitols, (+)quercitol and.

Cocculus carolinus. (−)viburnitol; a lactone, loliolide; and three alkaloids, sinoacutine, magnoflorine, and palmatine.


Question: What is the conservation status of this fish? (The status is assigned by the international union for conservation of nature. Choose one among Endangered,Least Concern,Critically Endangered,extinct species,extinct in the wild,Vulnerable,Near Threatened,Data Deficient).

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Bonnethead. commercial and recreational fisheries and constitutes up to 50% of all small shark landings in the Eastern US, but is still reasonably abundant there as well as in the Atlantic Coasts of the Bahamas and Mexico. However, significant declines have been reported in the Caribbean Sea and Atlantic Central America and massive declines along with widespread disappearance on the Atlantic Coast of South America as well as most of the shark's Pacific range, leading it to be uplifted to 'Endangered" in 2020.Since October 2021, "S. tiburo" has been classified as Largely Depleted by the IUCN. Species Description of Sphyrna tiburo.


Question: Which place is this animal endemic to?

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Cane toad. The cane toad (Rhinella marina), also known as the giant neotropical toad or marine toad, is a large, terrestrial true toad native to South and mainland Central America, but which has been introduced to various islands throughout Oceania and the Caribbean, as well as Northern Australia. It is a member of the genus "Rhinella", which includes many true toad species found throughout Central and South America, but it was formerly assigned to the genus "Bufo".The cane toad is an old species. A fossil toad (specimen UCMP 41159) from the La Venta fauna of the late Miocene in Colombia is indistinguishable.

Cane toad. from modern cane toads from northern South America. It was discovered in a floodplain deposit, which suggests the "R. marina" habitat preferences have long been for open areas. The cane toad is a prolific breeder; females lay single-clump spawns with thousands of eggs. Its reproductive success is partly because of opportunistic feeding: it has a diet, unusual among anurans, of both dead and living matter. Adults average 10 – 15 (cm) in length; the largest recorded specimen had a snout-vent length of 24 (cm).The cane toad has poison glands, and the tadpoles are highly toxic to most animals if ingested.

Cane toad. "Dominican toad", "giant marine toad", and "South American cane toad". In Trinidadian English, they are commonly called "crapaud", the French word for toad.The genus "Rhinella" is considered to constitute a distinct genus of its own, thus changing the scientific name of the cane toad. In this case, the specific name "marinus" (masculine) changes to "marina" (feminine) to conform with the rules of gender agreement as set out by the International Code of Zoological Nomenclature, changing the binomial name from "Bufo marinus" to "Rhinella marina"; the binomial "Rhinella marinus" was subsequently introduced as a synonym through misspelling by Pramuk, Robertson, Sites,.

Cane toad. and Noonan (2008). Though controversial (with many traditional herpetologists still using "Bufo marinus") the binomial "Rhinella marina" is gaining in acceptance with such bodies as the IUCN, Encyclopaedia of Life, Amphibian Species of the World and increasing numbers of scientific publications adopting its usage.Since 2016, cane toad populations native to Mesoamerica and northwestern South America are sometimes considered to be a separate species, "Rhinella horribilis".In Australia, the adults may be confused with large native frogs from the genera "Limnodynastes", "Cyclorana", and "Mixophyes". These species can be distinguished from the cane toad by the absence of large parotoid glands behind their.

Cane toad. toads lose the toxicity that protected them as eggs and tadpoles, but have yet to fully develop the parotoid glands that produce bufotoxin. Only an estimated 0.5% of cane toads reach adulthood, in part because they lack this key defense - but also due to tadpole cannibalism. Although cannibalism does occur in the native population in South America, the rapid evolution occurring in the unnaturally large population in Australia has produced tadpoles 30x more likely to be "interested" in cannibalising their siblings, and 2.6x more likely to actually "do so". They have also evolved to shorten their tadpole phase in.

Cane toad. Saw-shelled Turtles have also been seen successfully and safely eating cane toads.## Distribution.The cane toad is native to the Americas, and its range stretches from the Rio Grande Valley in South Texas to the central Amazon and southeastern Peru, and some of the continental islands near Venezuela (such as Trinidad and Tobago). This area encompasses both tropical and semiarid environments. The density of the cane toad is significantly lower within its native distribution than in places where it has been introduced. In South America, the density was recorded to be 20 adults per 100 m (109 yd) of shoreline, 1.

Cane toad. in spite of the failure of the earlier introductions. On September 8, 2013, the cane toad was also discovered on the island of New Providence in the Bahamas.## The Philippines.The cane toad was first introduced deliberately into the Philippines in 1930 as a biological control agent of pests in sugarcane plantations, after the success of the experimental introductions into Puerto Rico. It subsequently became the most ubiquitous amphibian in the islands. It still retains the common name of "bakî" or "kamprag" in the Visayan languages, a corruption of 'American frog', referring to its origins. It is also commonly known as.

Cane toad. 17 months. The toads were sent to the other islands, and more than 100,000 toads were distributed by July 1934; eventually over 600,000 were transported.## Uses.Other than the use as a biological control for pests, the cane toad has been employed in a number of commercial and noncommercial applications. Traditionally, within the toad's natural range in South America, the Embera-Wounaan would "milk" the toads for their toxin, which was then employed as an arrow poison. The toxins may have been used as an entheogen by the Olmec people. The toad has been hunted as a food source in parts of.


Question: What is the conservation status of this fish? (The status is assigned by the international union for conservation of nature. Choose one among Endangered,Least Concern,Critically Endangered,extinct species,extinct in the wild,Vulnerable,Near Threatened,Data Deficient).

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Blue shark. The blue shark (Prionace glauca), also known as the great blue shark, is a species of requiem shark, in the family Carcharhinidae, that inhabits deep waters in the world's temperate and tropical oceans. Averaging around 3.1 (m) and preferring cooler waters, the blue shark migrates long distances, such as from New England to South America. It is listed as Near Threatened by the IUCN.Although generally lethargic, they can move very quickly. Blue sharks are viviparous and are noted for large litters of 25 to over 100 pups. They feed primarily on small fish and squid, although they can take larger.

Blue shark. rockwork may be easier to avoid for blue sharks than smooth surfaces, as has been shown in captive [[tiger shark]]s.## Conservation status.In June 2018 the New Zealand [[Department of Conservation (New Zealand)|Department of Conservation]] classified the blue shark as "Not Threatened" with the qualifier "Secure Overseas" under the [[New Zealand Threat Classification System]]. The species is listed as [[Near-threatened species|Near Threatened]] by the [[International Union for Conservation of Nature|IUCN]]. [[Outline of sharks]] [[List of sharks]] [[List of prehistoric cartilaginous fish genera]] ARKive – Images and movies of the blue shark "(Prionace glauca)" Canadian Shark research laboratory BBCNews – 'Jaws' comes.


Question: What is the location of this island?

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Confederation Bridge. voted unanimously in favour of renaming the bridge to "Epekwitk Crossing", whereas Epekwitk ( ) is the traditional Mi'kmaq name for Prince Edward Island. The name change would need to be approved by the Canadian federal government in order to take effect.## Structure.The bridge is a two-lane toll bridge that carries the Trans-Canada Highway between Borden-Carleton, Prince Edward Island (at Route 1) and Cape Jourimain, New Brunswick (at Route 16).It is a multi-span balanced cantilever bridge with a post-tensioned concrete box girder structure. Most of the curved bridge is 40 (m) above water with a 60 (m) navigation span for.

Confederation Bridge. act as wind barriers, placing bridge deck and navigational lighting, constructing the Borden-Carleton toll plaza, and finishing the New Brunswick and Prince Edward Island approach roads. In separate construction, the federal and provincial governments built a new commercial and tourist development on the abandoned CN rail yards in Borden-Carleton, with phase I of this facility opening in spring 1997 as "Gateway Village". New Brunswick has never received similar federal support to improve the economy of Cape Tormentine, which has become a shadow of its former role in PEI transportation history, although in recent years a new eco-tourist and visitor centre.


Question: What is the typical diameter (in 1) of this object?

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Tetrahedron. regular tetrahedron.The following Cartesian coordinates define the four vertices of a tetrahedron with edge length 2, centered at the origin, and two level edges:formula_1Expressed symmetrically as 4 points on the unit sphere, centroid at the origin, with lower face level, the vertices are:formula_2formula_3formula_4formula_5with the edge length of formula_6.Still another set of coordinates are based on an alternated cube or demicube with edge length 2. This form has Coxeter diagram and Schläfli symbol h{4,3}. The tetrahedron in this case has edge length 2. Inverting these coordinates generates the dual tetrahedron, and the pair together form the stellated octahedron, whose vertices are.

Tetrahedron. those of the original cube.Tetrahedron: (1,1,1), (1,−1,−1), (−1,1,−1), (−1,−1,1)Dual tetrahedron: (−1,−1,−1), (−1,1,1), (1,−1,1), (1,1,−1)## Angles and distances.For a regular tetrahedron of edge length "a":With respect to the base plane the slope of a face (2) is twice that of an edge (), corresponding to the fact that the "horizontal" distance covered from the base to the apex along an edge is twice that along the median of a face. In other words, if "C" is the centroid of the base, the distance from "C" to a vertex of the base is twice that from "C" to the midpoint of an.

Tetrahedron. two tetrahedra in the cube). The symmetries of a regular tetrahedron correspond to half of those of a cube: those that map the tetrahedra to themselves, and not to each other.The tetrahedron is the only Platonic solid that is not mapped to itself by point inversion.The regular tetrahedron has 24 isometries, forming the symmetry group Td, [3,3], (*332), isomorphic to the symmetric group, "S"4. They can be categorized as follows: T, [3,3]+, (332) is isomorphic to alternating group, "A"4 (the identity and 11 proper rotations) with the following conjugacy classes (in parentheses are given the permutations of the vertices, or.

Tetrahedron. correspondingly, the faces, and the unit quaternion representation): identity (identity; 1) rotation about an axis through a vertex, perpendicular to the opposite plane, by an angle of ±120°: 4 axes, 2 per axis, together , etc.; ) rotation by an angle of 180° such that an edge maps to the opposite edge: , etc.; ) reflections in a plane perpendicular to an edge: 6 reflections in a plane combined with 90° rotation about an axis perpendicular to the plane: 3 axes, 2 per axis, together 6; equivalently, they are 90° rotations combined with inversion (x is mapped to −x): the.

Tetrahedron. are projected as circular arcs on the plane.## Helical stacking.Regular tetrahedra can be stacked face-to-face in a chiral aperiodic chain called the Boerdijk–Coxeter helix. In four dimensions, all the convex regular 4-polytopes with tetrahedral cells (the 5-cell, 16-cell and 600-cell) can be constructed as tilings of the 3-sphere by these chains, which become periodic in the three-dimensional space of the 4-polytope's boundary surface.## Irregular tetrahedra.Tetrahedra which do not have four equilateral faces are categorized and named by the symmetries they do possess.If all three pairs of opposite edges of a tetrahedron are perpendicular, then it is called an orthocentric tetrahedron.

Tetrahedron. to the opposite faces are inversely proportional to the areas of these faces.For a tetrahedron with vertices,, and, the volume is , or any other combination of pairs of vertices that form a simply connected graph. This can be rewritten using a dot product and a cross product, yieldingformula_9If the origin of the coordinate system is chosen to coincide with vertex d, then d = 0, soformula_10where a, b, and c represent three edges that meet at one vertex, and is a scalar triple product. Comparing this formula with that used to compute the volume of a parallelepiped, we conclude.

Tetrahedron. that the volume of a tetrahedron is equal to of the volume of any parallelepiped that shares three converging edges with it.The absolute value of the scalar triple product can be represented as the following absolute values of determinants:formula_11orformula_12whereformula_13are expressed as row or column vectors.Henceformula_14whereformula_15which givesformula_16where "α", "β", "γ" are the plane angles occurring in vertex d. The angle "α", is the angle between the two edges connecting the vertex d to the vertices b and c. The angle "β", does so for the vertices a and c, while "γ", is defined by the position of the vertices a and.

Tetrahedron. b.If we do not require that d = 0 thenformula_17Given the distances between the vertices of a tetrahedron the volume can be computed using the Cayley–Menger determinant:formula_18where the subscripts represent the vertices and "d" is the pairwise distance between them – i.e., the length of the edge connecting the two vertices. A negative value of the determinant means that a tetrahedron cannot be constructed with the given distances. This formula, sometimes called Tartaglia's formula, is essentially due to the painter Piero della Francesca in the 15th century, as a three dimensional analogue of the 1st century Heron's formula for the.

Tetrahedron. area of a triangle.Let be three edges that meet at a point, and the opposite edges. Let be the volume of the tetrahedron; thenformula_19whereformula_20The above formula uses six lengths of edges, and the following formula uses three lengths of edges and three angles.formula_21## Heron-type formula for the volume of a tetrahedron.If , , , , , are lengths of edges of the tetrahedron (first three form a triangle; with opposite , opposite , opposite ), thenformula_22where formula_23 formula_24## Volume divider.Any plane containing a bimedian (connector of opposite edges' midpoints) of a tetrahedron bisects the volume of the tetrahedron.## Non-Euclidean volume.For.

Tetrahedron. segment joining the midpoints of two opposite edges is called a "bimedian" of the tetrahedron. Hence there are four medians and three bimedians in a tetrahedron. These seven line segments are all concurrent at a point called the "centroid" of the tetrahedron. In addition the four medians are divided in a 3:1 ratio by the centroid (see Commandino's theorem). The centroid of a tetrahedron is the midpoint between its Monge point and circumcenter. These points define the "Euler line" of the tetrahedron that is analogous to the Euler line of a triangle.The nine-point circle of the general triangle has an.

Tetrahedron. is a diagonal of one of the cube's faces. For one such embedding, the Cartesian coordinates of the vertices are(+1, +1, +1);(−1, −1, +1);(−1, +1, −1);(+1, −1, −1).This yields a tetrahedron with edge-length 2, centered at the origin. For the other tetrahedron (which is dual to the first), reverse all the signs. These two tetrahedra's vertices combined are the vertices of a cube, demonstrating that the regular tetrahedron is the 3-demicube.The volume of this tetrahedron is one-third the volume of the cube. Combining both tetrahedra gives a regular polyhedral compound called the compound of two tetrahedra or stella octangula.The interior.

Tetrahedron. of the stella octangula is an octahedron, and correspondingly, a regular octahedron is the result of cutting off, from a regular tetrahedron, four regular tetrahedra of half the linear size (i.e., rectifying the tetrahedron).The above embedding divides the cube into five tetrahedra, one of which is regular. In fact, five is the minimum number of tetrahedra required to compose a cube. To see this, starting from a base tetrahedron with 4 vertices, each added tetrahedra adds at most 1 new vertex, so at least 4 more must be added to make a cube, which has 8 vertices.Inscribing tetrahedra inside the.

Tetrahedron. and counterclockwise orientations of the surface.Putting any of the four vertices in the role of "O" yields four such identities, but at most three of them are independent: If the "clockwise" sides of three of them are multiplied and the product is inferred to be equal to the product of the "counterclockwise" sides of the same three identities, and then common factors are cancelled from both sides, the result is the fourth identity.Three angles are the angles of some triangle if and only if their sum is 180° (π radians). What condition on 12 angles is necessary and sufficient for.

Tetrahedron. them to be the 12 angles of some tetrahedron? Clearly the sum of the angles of any side of the tetrahedron must be 180°. Since there are four such triangles, there are four such constraints on sums of angles, and the number of degrees of freedom is thereby reduced from 12 to 8. The four relations given by this sine law further reduce the number of degrees of freedom, from 8 down to not 4 but 5, since the fourth constraint is not independent of the first three. Thus the space of all shapes of tetrahedra is 5-dimensional.## Law of.

Tetrahedron. faces are "F"a, "F"b, "F"c, and "F"d. Thenformula_29For vertices "A", "B", "C", and "D", interior point "P", and feet "J", "K", "L", and "M" of the perpendiculars from "P" to the faces, and suppose the faces have equal areas, thenformula_30## Inradius.Denoting the inradius of a tetrahedron as "r" and the inradii of its triangular faces as "r""i" for "i" = 1, 2, 3, 4, we haveformula_31with equality if and only if the tetrahedron is regular.If "A""1", "A""2", "A""3" and "A""4" denote the area of each faces, the value of "r" is given byformula_32.This formula is obtained from dividing the tetrahedron.

Tetrahedron. tetrahedra. One example has one edge of 896, the opposite edge of 990 and the other four edges of 1073; two faces are isosceles triangles with areas of and the other two are isosceles with areas of , while the volume is .A tetrahedron can have integer volume and consecutive integers as edges, an example being the one with edges 6, 7, 8, 9, 10, and 11 and volume 48.## Related polyhedra and compounds.A regular tetrahedron can be seen as a triangular pyramid.A regular tetrahedron can be seen as a degenerate polyhedron, a uniform "digonal antiprism", where base polygons are.

Tetrahedron. is arccos(−), or approximately 109.47°.Water, , also has a tetrahedral structure, with two hydrogen atoms and two lone pairs of electrons around the central oxygen atoms. Its tetrahedral symmetry is not perfect, however, because the lone pairs repel more than the single O–H bonds.Quaternary phase diagrams of mixtures of chemical substances are represented graphically as tetrahedra.However, quaternary phase diagrams in communication engineering are represented graphically on a two-dimensional plane.## Electricity and electronics.If six equal resistors are soldered together to form a tetrahedron, then the resistance measured between any two vertices is half that of one resistor.Since silicon is the most.

Tetrahedron. rolled appearing around the bottom or on the top vertex. Some Rubik's Cube-like puzzles are tetrahedral, such as the Pyraminx and Pyramorphix.## Geology.The tetrahedral hypothesis, originally published by William Lowthian Green to explain the formation of the Earth, was popular through the early 20th century.## Weaponry.Some caltrops are based on tetrahedra as one spike points upwards regardless of how they land and can be easily made by welding two bent nails together.## Contemporary art.The Austrian artist Martina Schettina created a tetrahedron using fluorescent lamps. It was shown at the light art biennale Austria 2010.It is used as album artwork, surrounded.


Question: What is the closest upper taxonomy of this insect?

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Coenonympha tullia. Coenonympha tullia, the large heath or common ringlet, is a butterfly in the family Nymphalidae. It flies in a variety of grassy habitats, including roadsides, woodland edges and clearings, prairies, bogs, and arctic and alpine taiga and tundra. It is a poor flyer, but can sometimes be found along ditches seeking new grounds. It is a holarctic species found in northern Europe and Asia and across North America. The species was first described by Otto Friedrich Müller in 1764.## Subspecies.In alphabetical order: "C. t. ampelos " – northwest common ringlet "C. t. benjamini" – prairie ringlet "C. t. brenda" "C.

Coenonympha tullia. t. bosniae" "C. t. california" – California ringlet "C. t. columbiana" – ringlet "C. t. davus" "C. t. elko" "C. t. elwesi" "C. t. eryngii" "C. t. eunomia" "C. t. furcae" "C. t. gliwa" "C. t. haydenii" – Hayden's common ringlet "C. t. inornata" – inornate common ringlet "C. t. insulanus" – Vancouver ringlet "C. t. kodiak" – Kodiak ringlet "C. t. mackenziei" – Mackenzie's ringlet "C. t. mcisaaci" – McIsaac's ringlet "C. t. mixturata" "C. t. mono" – (common) ringlet "C. t. ochracea" – ochre (common) ringlet "C. t. polydama" "C. t. pseudobrenda" "C. t. scotica" "C. t. sibirica.

Coenonympha tullia. "C. t. subfusca" "C. t. suecica" "C. t. tullia" – common ringlet "C. t. viluiensis" "C. t. yontocket" – Yontocket satyr ringlet "C. t. yukonensis" – Yukon common ringletFormerly a subspecies: "Coenonympha nipisiquit" – maritime ringletFor more information on subspecies and biologyEmmet, A.M., J. Heath et al. (Ed.), 1990. The Butterflies of Great Britain and Ireland. "The Moths and Butterflies of Great Britain and Ireland" Vol. 7 Part 1 (Hesperiidae to Nymphalidae). Harley Books, Colchester, UK. 370p.Tomlinson, D. & R. Still, 2002. "Britain's Butterflies". WildGuides, Old Basing, UK. 192p."Coenonympha tullia", ARKive - images and video.


Question: What product does this tunnel produce?

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Shaft sinking. Shaft mining or shaft sinking is the action of excavating a mine shaft from the top down, where there is initially no access to the bottom. Shallow shafts, typically sunk for civil engineering projects, differ greatly in execution method from deep shafts, typically sunk for mining projects.Shaft sinking is one of the most difficult of all mine development methods: restricted space, gravity, groundwater and specialized procedures make the task quite formidable. Shafts may be sunk by conventional drill and blast or mechanised means.Historically, mine shaft sinking has been among the most dangerous of all the mining occupations and the preserve.

Shaft sinking. of mining contractors called sinkers. Today shaft sinking contractors are concentrated in Canada, Germany, China and South Africa.The modern shaft sinking industry is gradually shifting further towards greater mechanisation, recent innovations in the form of full-face shaft boring (akin to a vertical tunnel boring machine) have shown promise but the use of this method is, as of 2019, not widespread.## Mine shafts.Mine shafts are vertical or near-vertical tunnels, which are "sunk" as a means of accessing an underground ore body, during of the development of an underground mine.The shape (in plan view), dimensions and depth of mine shafts vary greatly.

Shaft sinking. in response to the specific needs of the mine they are part of and the geology they are sunk through. For example, in North and South America, smaller shafts are designed to be rectangular in plan view with timber supports. Larger shafts are round in plan and are concrete lined.Mine shafts may be used for a variety of purposes, including as a means of escape in the event of an emergency underground and allowing for the movement of: People Materials Mine services (such as compressed air, water, backfill, power, communications and fuel) Ventilation air Broken rock (in the form of.

Shaft sinking. payable ore, or non payable waste) Or any combination of the aboveWhen the top of the excavation is the ground surface, it is referred to as a "shaft"; when the top of the excavation is underground, it is called a "winze" or a "sub-shaft". Small shafts may be excavated upwards from within an existing mine as long as there is access at the bottom, in which case they are called "raises".A shaft may be either vertical or inclined (between 80 and 90 degrees to the horizontal), although most modern mine shafts are vertical. If access exists at the bottom of.

Shaft sinking. the proposed shaft, and ground conditions allow, then raise boring may be used to excavate the shaft from the bottom up; such shafts are called "borehole shafts".Following the Hartley Colliery disaster where the single shaft at the mine became blocked, the United Kingdom made single shaft mines illegal in 1862, establishing the practice that all underground mines must have a "a second means of egress". Many other global mining jurisdictions have adopted this rule and shafts are therefore often found in pairs (although there are multiple alternative methods of providing a second means of egress).The current the deepest single lift.

Shaft sinking. (i.e. continuous) mine shaft in the world is the 2991m deep, main shaft at South Deep Mine in South Africa, owned by Gold Fields Limited, which, along with its twin ventilation shafts, took ten years to sink and equip.## Parts of a mine shaft.The most visible feature of a traditionally-built mine shaft is the headframe (or winding tower, poppet head or pit head) which stands above the shaft. Depending on the type of hoist (or winder) used, the top of the headframe will either house a hoist motor or a sheave wheel (with the hoist motor mounted on the ground).

Shaft sinking. The headframe will also typically contain bins for storing ore being transferred to the processing facility.At ground level beneath and around the headframe is the Shaft Collar (also called the Bank or Deck), which provides the foundation necessary to support the weight of the headframe and provides a means for workers, materials and services to enter and exit the shaft. Collars are usually massive reinforced concrete structures with more than one level. If the shaft is used for mine ventilation, a plenum space or casing is incorporated into the collar to ensure the proper flow of air into and out.

Shaft sinking. of the mine.Beneath the collar the part of the shaft which continues into the ground is called the "shaft barrel".At locations where the shaft barrel meets horizontal workings there is a "shaft station" (or inset) which allows men, materials and services to enter and exit the shaft. From the station tunnels (drifts, galleries or levels) extend towards the ore body, sometimes for many kilometers. The lowest shaft station is most often the point where rock leaves the mine levels and is transferred to the shaft, if so a "loading pocket" is excavated on one side of the shaft at this.

Shaft sinking. location to allow transfer facilities to be built.Beneath the lowest shaft station the shaft continues on for some distance, this area is referred to as the "shaft bottom". A tunnel called a "ramp" typically connects the bottom of the shaft with the rest of the mine, this ramp often contains the mine's water handling facility, called the "sump", as water will naturally flow to the lowest point in the mine.## Shaft lining.Many (although not all) shafts are lined following excavation and the installation of temporary ground support.The shaft lining performs several functions; it is first and foremost a safety feature.

Shaft sinking. preventing loose or unstable rock from falling into the shaft, then a place for shaft sets to bolt into, and lastly a smooth surface to minimise resistance to airflow for ventilation.Final choice of shaft lining is dependent on the geology of the rock which the shaft passes through, some shafts have several liners sections as required Where shafts are sunk in very competent rock there may be no requirement for lining at all, or just the installation of welded mesh and rock bolts. The material of choice for shaft lining is mass concrete which is poured behind "shaft forms" in.

Shaft sinking. lifts of 6 m as the shaft advances (gets deeper).Shotcrete, fibrecrete, brick, cast iron tubing, and precast concrete segments have all been used at one time or another. Additionally, the use of materials like bitumen and even squash balls have been required by specific circumstances. In extreme cases, particularly when sinking through halite, composite liners consisting of two or more materials may be required.The shaft liner does not reach right to the bottom of the shaft during sinking, but lags behind by a fixed distance. This distance is determined by the methodology of excavation and the design thickness of the.

Shaft sinking. permanent liner. To ensure the safety of persons working on the shaft bottom temporary ground support is installed, usually consisting of welded mesh and rock bolts. The installation of the temporary ground support (called "bolting") is among the most physically challenging parts of the shaft sinking cycle as bolts must be installed using pneumatic powered rock drills.For this reason, and to minimise the number of persons on the shaft bottom a number of projects have successfully switched to shotcrete for this temporary lining. Research and development in this area is focusing on the robotic application of shotcrete and the commercialisation.

Shaft sinking. of thin sprayed polymer liners.## Shaft compartments.Where the shaft is to be used for hoisting it is frequently split into multiple compartments by "shaft sets", these may be made of either timber or steel. Vertical members in a shaft set are called "guides", horizontal members are called "buntons". For steel shaft guides, the main two options are hollow structural sections and top hat sections. Top hat sections offer a number of advantages over hollow structural sections including simpler installation, improved corrosion resistance and increased stiffness. Mine conveyances run on the guides in a similar way to how a steel roller.

Shaft sinking. coaster runs on its rails, both having wheels which keep them securely in place.Some shafts do not use guide beams but instead utilize steel wire rope (called "guide rope") kept in tension by massive weights at shaft bottom called "cheese weights" (because of their resemblance to a truckle or wheel of cheese) as these are easier to maintain and replace.The largest compartment is typically used for the "mine cage", a conveyance used for moving workers and supplies below the surface, which is suspended from the hoist on steel wire rope. It functions in a similar manner to an elevator. Cages.

Shaft sinking. may be single-, double-, or rarely triple-deck, always having multiple redundant safety systems in case of unexpected failure.The second compartment is used for one or more skips, used to hoist ore to the surface. Smaller mining operations use a skip mounted underneath the cage, rather than a separate device, while some large mines have separate shafts for the cage and skips. The third compartment is used for an emergency exit; it may house an auxiliary cage or a system of ladders. An additional compartment houses mine services such as high voltage cables and pipes for transfer of water, compressed air.

Shaft sinking. or diesel fuel.A second reason to divide the shaft is for ventilation. One or more of the compartments discussed above may be used for air intake, while others may be used for exhaust. Where this is the case a steel or concrete wall called a "brattice" is installed between the two compartments to separate the air flow. At many mines there are one or more complete additional separate "auxiliary shafts" with separate head gear and cages.## Shaft construction.The lowest point in a sinking shaft is known as "shaft bottom", shaft projects differ from some other forms of mine development in.

Shaft sinking. that all activities that take place on shaft bottom become part of the critical path for the project schedule. The infrastructure required to sink a shaft is referred to a "the sinking set-up".It is typical for progress (the "sinking rate") in the sinking phase (that is excavation, ground support and lining) of a shaft project to follow a learning curve as the project team repeat the same series of activities over and over in what is called "the sinking cycle", eventually approaching the theoretical maximum rate for that sinking set up over time. The use of experienced shaft sinkers is.

Shaft sinking. necessary to reduce the length of this learning curve and thus the duration of the project as much as possible.Key to a successful shaft sinking project are: Getting the various components of the sinking set-up correct and installed at the right time. Having experienced people involved from as early in the project as possible Using the available time on shaft bottom as efficiently as possible.Although significant emphasis is placed on the rate of progress of a project sinking cycle by shaft sinkers, sinking is only one of a number of phases in the conventional construction of a new shaft, as.

Shaft sinking. follows; "Box Cut Excavation". A box cut is a large square or rectangular excavation typically completed using earthmoving equipment down to bedrock, inside which the shaft collar will be constructed. Having the loads imposed by the collar, headframe and hoisting plant transferred into solid rock is necessary to prevent unplanned subsidence. Where the depth of bedrock is to great to for a box cut to economically viable, or the bedrock is not strong enough, civil engineering techniques such as diaphragm walls or concrete piles may be used to create a deep foundation instead. "Pre-Sink". The pre-sink is the excavation and.

Shaft sinking. support of the first 60 – 100 meters of the shaft barrel, often completed smaller equipment such as handheld, pneumatic drilling equipment to drill holes for basting and ground support and mini-excavators for mucking. During the pre-sink hoisting of muck and equipment is usually performed by a mobile crane on surface. It is necessary to sink this part of the shaft first so that the Galloway, a multi-level working platform may be installed with enough vertical distance to shaft bottom that it will not be damaged by fly rock during blasting. "Collar Construction". From the bottom of the box-cut, the.

Shaft sinking. shaft collar is constructed bottom up in a planned series of concrete pours. "Galloway (Sinking Stage) Construction & Installation." The Galloway (also known as a Sinking Stage or Scaffold) is a multi-level working platform, suspended in the shaft from winches located on surface. The Galloway allows sinkers to efficiently work on differing levels as required by the various tasks of the sinking cycle. It is typical for the Galloway to be constructed off to one side of the shaft and lowered into the pre-sink with a crane in as complete a state as possible. Once in place the Galloway is.

Shaft sinking. "chaired" (suspended from the shaft collar) while the headframe is built above, often protected by a bulkhead. "Headframe & Hoist House Construction." With the collar constructed and the Galloway installed the headframe and hoist (or winder) houses may be constructed and the hoist and winch ropes installed. Headframes may be either steel or concrete and their design will determine how they are constructed. The Galloway is moved in the shaft by means of winches, which move slowly and are rated for significant loads, while the sinking buckets (or kibbles) are moved in the shaft by the sinking hoist, which moves.

Shaft sinking. quickly and is rates for less load that the winches. To protect the hoist(s) and winches and the sensitive electronics which are used to control their operation they are normally installed inside of a build called a hoist (or winder) house. "Commissioning Sinking Set Up." The Sinking set-up must then be commissioned to ensure that all parts are operating as planned. "Full Sink". The activities of the sinking cycle (excavation, installation of temporary ground support, placement of the shaft lining and extending shaft services) all take place in this phase of construction. In a shaft where there are to be.

Shaft sinking. multiple working levels, shaft stations and station stubs (short lengths of horizontal tunnel leading away from the station) will be developed by the sinkers on the way down. As the equipment to excavate these stations must be small enough to fit through the openings in the Galloway, the rate of advance in developing the station stubs is typically low, compared to what can be achieved with full size mining equipment so station stubs are typically kept as short as possible. "Shaft Equipping & Headframe Changeover." Once the shaft reaches the final design depth, the shaft is stripped of any temporary.

Shaft sinking. services, the Galloway cut up or modified to suit the installation of the permanent shaft set-up, the shaft sets (if required) installed and the headframe / winders modified to allow for permanent hoisting. Any permanent conveyances will be installed at this stage. "Commissioning Permanent Set Up." The Permanent set-up must then be commissioned to ensure that all parts are operating as planned before being handed over to the new owner.As with the depth and design of shafts significant variations do exist in this sequence depending on local conditions, for example in that hard Canadian Shield rocks which dominate shaft sinking.

Shaft sinking. in Canada a deep and complex shaft collar is unnecessary as the bedrock is both strong and close to surface. This reduces the amount of time typically required to establish the shaft collar.Traditionally sinking contractors would build a temporary headframe for the sinking set up, which would then be dismantled to make way for a permanent headframe. With the growth in complexity and duration of shaft sinking projects over time it has become more common to incorporate more of the permanent shaft set-up into the sinking phase. This results in a reduced overall project duration, as for example, if the.

Shaft sinking. service piping used to sink the shaft does not need to be stripped out to make way for permanent piping.With the advancements made in raise boring technology, raise borers have been used to create a pilot hole for shaft sinking, where access exists at the bottom of the new shaft, in this case the sinking phase is dedicated to enlarging this pilot hole to full diameter (a process usually called "slashing"). This methodology can be considerably faster than full face sinking as muck (waste rock) from sinking falls down the pilot hole and is handled using existing mine infrastructure off.

Shaft sinking. critical path.Drift miningEngine shaftHeadframeMan engineRaise borerSalt-concreteUnderground mining (hard rock)Underground mining (soft rock)Glossary of coal mining terminologyRepurposing old mine shafts for energy storage purposesAbandoned Mine Shafts & TunnelsTop Hat Sections.


Question: Where is the starting point of this event.

Instruction: Retrieve a Wikipedia paragraph that provides an answer to the given query about the image.

Kon-Tiki expedition. attempt to show a possible link between the civilization of ancient Egypt and the New World.## The voyage."Kon-Tiki" left Callao, Peru, on the afternoon of April 28, 1947. To avoid coastal traffic it was initially towed 50 (mi) out by the Peruvian Navy fleet tug "Guardian Rios", then sailed roughly west carried along on the Humboldt Current.On 2 July Heyerdahl writes about an encounter with a rogue wave; in his book he describes a "Three Sister" phenomenon: "During a night-shift with quiet seas appears an 'abnormal huge wave' followed by two more waves. The raft is being swept up and.

Kon-Tiki expedition. built in Constitución, Chile, leaving on April 13, 1958, towards Callao, then towards the Marquesas. It missed its target and after four months, the raft began to sink. The crew built a new smaller raft, the "Tahiti Nui III", in the ocean out of the more buoyant parts of the "Tahiti Nui II". They were swept towards Cook Islands where on August 30, the raft went aground and was wrecked at Rakahanga atoll. Éric de Bisschop died in this accident.## "Tangaroa" (1965).A Peruvian expedition led by Carlos Caravedo crossed the Pacific Ocean in 1965 in 115 days in a raft.


Question: Who is the discoverer or inventor of this object?

Instruction: I want to find a paragraph from Wikipedia that answers my question about this image.

Aqua-Lung. Aqua-Lung was the first open-circuit, self-contained underwater breathing apparatus (or "scuba") to achieve worldwide popularity and commercial success. This class of equipment is now commonly referred to as a twin-hose diving regulator, or demand valve. The Aqua-Lung was invented in France during the winter of 1942–1943 by two Frenchmen: the engineer Émile Gagnan and the Naval Lieutenant (French: "lieutenant de vaisseau") Jacques Cousteau. It allowed Cousteau and Gagnan to film and explore underwater more easily.The invention revolutionised autonomous underwater diving by providing a compact, reliable system capable of a greater depth range and endurance than its precursors, and was a.

Aqua-Lung. Bernard Piel"). One of their apparatuses went to Émile Gagnan, an engineer employed by the Air Liquide company. Gagnan miniaturized and adapted it to gas generators in response to a fuel shortage, which was a consequence of German requisitioning. Gagnan's boss, Henri Melchior, knew that his son-in-law Jacques-Yves Cousteau was looking for an automatic demand regulator to increase the useful endurance of the underwater breathing apparatus invented by Commander Yves le Prieur, so he introduced Cousteau to Gagnan in December 1942. On Cousteau's initiative, the Gagnan regulator was modified for use in diving. Cousteau and Gagnan were issued a patent.

Aqua-Lung. French company.Air Liquide held the patent on the original "Aqualung" (also written as "Aqua-Lung" or "Aqua Lung") until the patent expired sometime around 1960 to 1963. The term "Aqualung", as far as is known, first appeared in print on page 3 of Jacques-Yves Cousteau's first book, "The Silent World", in 1953. Public use of the word "aqualung", and public interest in Aqualungs and scuba diving, were started around 1953 in English-speaking counties by a National Geographical Society Magazine article about Cousteau's underwater archaeological expedition to Grand Congloué. In France, aqualung diving was popularized by Cousteau's movie "Épaves", while his book.


Question: What is the facet of this object?

Instruction: Determine the Wikipedia snippet that matches the question of this image.

Tetrahedron. of a tetrahedron the base is a triangle (any of the four faces can be considered the base), so a tetrahedron is also known as a "triangular pyramid".Like all convex polyhedra, a tetrahedron can be folded from a single sheet of paper. It has two such nets.For any tetrahedron there exists a sphere (called the circumsphere) on which all four vertices lie, and another sphere (the insphere) tangent to the tetrahedron's faces.## Regular tetrahedron.A regular tetrahedron is a tetrahedron in which all four faces are equilateral triangles. It is one of the five regular Platonic solids, which have been known.

Tetrahedron. edge of the base. This follows from the fact that the medians of a triangle intersect at its centroid, and this point divides each of them in two segments, one of which is twice as long as the other (see ).For a regular tetrahedron with side length "a", radius "R" of its circumscribing sphere, and distances "di" from an arbitrary point in 3-space to its four vertices, we haveformula_7## Isometries of the regular tetrahedron.The vertices of a cube can be grouped into two groups of four, each forming a regular tetrahedron (see above, and also , showing one of the.

Tetrahedron. with four congruent triangles as faces; the triangles necessarily have all angles acute. The regular tetrahedron is a special case of a disphenoid. Other names for the same shape include bisphenoid, isosceles tetrahedron and equifacial tetrahedron.## Orthoschemes.A 3-orthoscheme is a tetrahedron where all four faces are right triangles. An orthoscheme is an irregular simplex that is the convex hull of a tree in which all edges are mutually perpendicular. In a 3-dimensional orthoscheme, the tree consists of three perpendicular edges connecting all four vertices in a linear path that makes two right-angled turns. The 3-orthoscheme is a tetrahedron having two.

Tetrahedron. its characteristic tetrahedron by its planes of symmetry.If the tetrahedron has edge length 2, its characteristic tetrahedron's six edges have lengths , , (the exterior right triangle face, the "characteristic triangle" of the tetrahedron), plus , , (edges that are the "characteristic radii" of the tetrahedron). The 3-edge path along orthogonal edges of the orthoscheme is , , , first from a tetrahedron vertex to an tetrahedron edge center, then turning 90° to an tetrahedron face center, then turning 90° to the tetrahedron center. The orthoscheme has four dissimilar right triangle faces. The exterior face is a 30-60-90 triangle which.

Tetrahedron. is one-sixth of a tetrahedron face. The three faces interior to the tetrahedron are: a right triangle with edges , , , a right triangle with edges , , , and a right triangle with edges , , .## Space-filling tetrahedra.A space-filling tetrahedron packs with directly congruent or enantiomorphous (mirror image) copies of itself to tile space. The cube can be dissected into six 3-orthoschemes, three left-handed and three right-handed (one of each at each cube face), and cubes can fill space, so the characteristic 3-orthoscheme of the cube is a space-filling tetrahedron in this sense. A disphenoid can be.

Tetrahedron. area of a triangle.Let be three edges that meet at a point, and the opposite edges. Let be the volume of the tetrahedron; thenformula_19whereformula_20The above formula uses six lengths of edges, and the following formula uses three lengths of edges and three angles.formula_21## Heron-type formula for the volume of a tetrahedron.If , , , , , are lengths of edges of the tetrahedron (first three form a triangle; with opposite , opposite , opposite ), thenformula_22where formula_23 formula_24## Volume divider.Any plane containing a bimedian (connector of opposite edges' midpoints) of a tetrahedron bisects the volume of the tetrahedron.## Non-Euclidean volume.For.

Tetrahedron. as calculated here. Then another volume formula is given byformula_25## Properties analogous to those of a triangle.The tetrahedron has many properties analogous to those of a triangle, including an insphere, circumsphere, medial tetrahedron, and exspheres. It has respective centers such as incenter, circumcenter, excenters, Spieker center and points such as a centroid. However, there is generally no orthocenter in the sense of intersecting altitudes.Gaspard Monge found a center that exists in every tetrahedron, now known as the Monge point: the point where the six midplanes of a tetrahedron intersect. A midplane is defined as a plane that is orthogonal to.

Tetrahedron. segment joining the midpoints of two opposite edges is called a "bimedian" of the tetrahedron. Hence there are four medians and three bimedians in a tetrahedron. These seven line segments are all concurrent at a point called the "centroid" of the tetrahedron. In addition the four medians are divided in a 3:1 ratio by the centroid (see Commandino's theorem). The centroid of a tetrahedron is the midpoint between its Monge point and circumcenter. These points define the "Euler line" of the tetrahedron that is analogous to the Euler line of a triangle.The nine-point circle of the general triangle has an.

Tetrahedron. face.The radius of the twelve-point sphere is one third of the circumradius of the reference tetrahedron.There is a relation among the angles made by the faces of a general tetrahedron given byformula_26where "α" is the angle between the faces "i" and "j".The geometric median of the vertex position coordinates of a tetrahedron and its isogonic center are associated, under circumstances analogous to those observed for a triangle. Lorenz Lindelöf found that, corresponding to any given tetrahedron is a point now known as an isogonic center, "O", at which the solid angles subtended by the faces are equal, having a common.

Tetrahedron. and counterclockwise orientations of the surface.Putting any of the four vertices in the role of "O" yields four such identities, but at most three of them are independent: If the "clockwise" sides of three of them are multiplied and the product is inferred to be equal to the product of the "counterclockwise" sides of the same three identities, and then common factors are cancelled from both sides, the result is the fourth identity.Three angles are the angles of some triangle if and only if their sum is 180° (π radians). What condition on 12 angles is necessary and sufficient for.

Tetrahedron. them to be the 12 angles of some tetrahedron? Clearly the sum of the angles of any side of the tetrahedron must be 180°. Since there are four such triangles, there are four such constraints on sums of angles, and the number of degrees of freedom is thereby reduced from 12 to 8. The four relations given by this sine law further reduce the number of degrees of freedom, from 8 down to not 4 but 5, since the fourth constraint is not independent of the first three. Thus the space of all shapes of tetrahedra is 5-dimensional.## Law of.

Tetrahedron. of the tetrahedron.With this definition, the circumcenter of a tetrahedron with vertices ,, can be formulated as matrix-vector product:formula_35In contrast to the centroid, the circumcenter may not always lay on the inside of a tetrahedron.Analogously to an obtuse triangle, the circumcenter is outside of the object for an obtuse tetrahedron.## Centroid.The tetrahedron's center of mass computes as the arithmetic mean of its four vertices, see Centroid.## Faces.The sum of the areas of any three faces is greater than the area of the fourth face.## Integer tetrahedra.There exist tetrahedra having integer-valued edge lengths, face areas and volume. These are called Heronian.

Tetrahedron. tetrahedra. One example has one edge of 896, the opposite edge of 990 and the other four edges of 1073; two faces are isosceles triangles with areas of and the other two are isosceles with areas of , while the volume is .A tetrahedron can have integer volume and consecutive integers as edges, an example being the one with edges 6, 7, 8, 9, 10, and 11 and volume 48.## Related polyhedra and compounds.A regular tetrahedron can be seen as a triangular pyramid.A regular tetrahedron can be seen as a degenerate polyhedron, a uniform "digonal antiprism", where base polygons are.