Question

What is the Euler characteristic of a polyhedron that has 6 vertices, 8 faces, and 12 edges?

Answer 1

X = v - e + f

Answer 2

6-12+8

Answer 3

= 2

Answer 4

X = 2, but what I don't get is that X will always be 2.

Answer 5

Because v - e + f is always 2.

Answer 6

Okay It's a trick question then. It's always 2

Answer 7

Yeah.

Answer 8

Wait, unless it's convex.

Answer 9

I mean nonconvex

Answer 10

http://en.wikipedia.org/wiki/File:Tetrahemihexahedron.png

Answer 11

It just says polyhedron

Answer 12

Then I'd say 2.

Answer 13

okay thanks for the help!