For the purpose of game development, I'm trying to figure out what uniform shapes can be used to create a approximated spherical object.
To give an example of a shape that does not fit my criteria, consider the shapes that compose a soccer ball:
Because the soccer ball has 12 regular pentagonal faces (5 sides) and 20 regular hexagonal faces (6 sides), the shapes are not uniform (they have a different number of sides and a different geometric area).
After a few hours of research online (both here on math.stackoverflow.com and on Google / Wikipedia) the only shape I was able to come across that does match my criteria is the "regular dodecahedron" because it is a sphere-like object composed of only pentagonal faces (5 sides) each with an equal geometric area.
How can I find more geometric shapes that fit my criteria, or what terms could I use to research more in this area?