Thread: Polyhedrons!?

I was wondering if there's any formula to calculate the number of edges and vertices of a polyhedrons? like Dodecahedron, Icosahedrons, (or generally for polyhedrons with a certain number of faces)

Originally Posted by zenith20

I was wondering if there's any formula to calculate the number of edges and vertices of a polyhedrons? like Dodecahedron, Icosahedrons, (or generally for polyhedrons with a certain number of faces)

The number of faces is not enough to determine the number of edges and vertices. However, we have Euler's formula

Euler's Formula

Simple example I came up with on paper to illustrate how # faces does not uniquely determine # edges and # vertices.

1) square pyramid

2) a wedge you'd use to hold a door open

Both have five faces but number of edges and vertices are different.

Thanks for your help. so we need 2 of them at least!