 ichina text nundi polytope ‌ l ansaalu yevo anaku cheppandi 
 jyaamitilo ,  symplicial polytope anede polytope ,  deeni koonaalu annii saralamainavi .  udaharanaku ,  muudu konalalo saralamaina palihedran tribhujaakaara mukhalanu Bara kaligi umtumdi mariyu stenitz siddhaantam dwara garista planar graph ‌ ku anugunamga umtumdi .

 avi sadarana polytope ‌ laku topological ‌ gaaa dwandwanga untai .  saralamaina mariyu saralamaina polytope ‌ lu saralamainavi ledha remdu - dimensionally bahubhujalu .
1.  saralamaina polytope anede jyaamitilo ooka polytope ,  ikda prathi amsham saralamainadi .
2.  drushtaamtamgaa ,  kevalam tribhujaakaara mukhaalato muudu konalalo saralamaina palihedran stainitz siddhaantam prakaaram garista samatala nett ‌ varey ‌ ku anugunamga umtumdi .
3.  avi sadarana polytope ‌ lu topological duel .
4.  too - dimensionally bahubhujalu ledha symplis ‌ lu sadarana mariyu saralamaina polytope ‌ lu .