MathDB

A prism is called binary if it can be assigned to each of its vertices a number from the set

\{-1, 1\}

, such that the product of the numbers assigned to the vertices of each face is equal to

-1

. a) Prove that the number of vertices of the binary prisms is divisible for

8

. b) Prove that a prism with

2000

vertices is binary.

Problem Statement