4-d Cube

July 07, 2009
  • Puzzles

Here's a quick puzzle:

Imagine that you live in 4 dimensions and are playing with toothpicks and sticky tack. Someone asks you to construct a 4-d cube out of the toothpicks (with the tack to hold them together at the corners).

In 4-d, how many toothpicks do you need?

How about in n-d?