Polygons and their names

[Number47]

This is just from memory, so it might be wrong. You can create a polyhedron of any number of faces using all pentagons and either zero, five or six hexagons for faces. I assume that the minimum number of faces is 12? I remember reading a mathematical proof, but the details escape me, so I may be stating this wrong. Just an interesting factoid. Anyone confirm/clarify?

 

[tjoneslo]

This is just from memory, so it might be wrong. You can create a polyhedron of any number of faces using all pentagons and either zero, five or six hexagons for faces. I assume that the minimum number of faces is 12? I remember reading a mathematical proof, but the details escape me, so I may be stating this wrong. Just an interesting factoid. Anyone confirm/clarify?

Essentially correct, except you've switched Hexagons and petangons. That is a polyhedren will have n hexagons and 5 (five) pentagons.

If you want a visual image, think of a soccer ball (or football to the rest of the world).