Puzzle #7: Gecko Trek
A gecko is perched on a ceiling corner of a cubic room that measures 10 feet by 10 feet by 10 feet. What is the shortest distance it must travel to reach the diagonally opposite corner of the room? Note that a fly would travel in a straight line along the longest diagonal of the cube, but geckos can only crawl on walls, ceilings, and floors.
I issue a courtesy warning that a dab of geometry crops up in the solution. Don’t let it deter you from discovering the ingenious method. If you remember the Pythagorean theorem, then you know all you’ll need.
Find the solution at the bottom of this page.
