Puzzle No.4 (Today's Puzzle).......

Wednesday, December 08, 2010

Question:

If you take a marker & start from a corner on a cube, what is the maximum
number of edges you can trace across if you never trace across the same edge
twice, never remove the marker from the cube, & never trace anywhere on the
cube, except for the corners & edges?

Answer:     9

To verify this, you can make a drawing of a cube, & number each of its 12 edges.
Then, always starting from 1 corner & 1 edge, you can determine all of the
possible combinations for tracing along the edges of a cube.
There is no need to start from other corners or edges of the cube, as you will only
be repeating the same combinations. The process is a little more involved than
this, but is useful for solving many types of spatial puzzles.