November 20, 2012

Problem of the Week

for Tuesday, Nov. 20, 2012

The tesseract is a four-dimensional cube. The picture below represents a three-dimensional sculpture of the tesseract. It contains 16 vertices and 32 edges. Imagine an ant on the vertex marked A. he wishes to crawl along exactly 4 edges in order to arrive at food that has been placed at vertex B. How many different four-edge paths can he take in order to arrive at B?