Euler's Theorem For Polyhedra
Euler's theorem for polyhedra demonstrates the constant relationship
among the components of a given polyhedron: |
the number of polygons | + | the number of vertices |
= | the number of edges | + | 2 |
P | + | V |
= | E | + | 2 |
|
Take the cube for example: |
 |
P = 6, V = 8, E = 12 P + V = 6 + 8 = 14 E + 2 = 12 + 2 = 14 |
|