Getting All the Utilities to Each HouseDate: 17 May 1995 08:43:27 -0400 From: Anonymous Subject: Puzzle I've been stumped-here's the problem: Draw 3 one inch squares representing houses horizontally across the page. Draw three circles, one under each square. Number your squares and put a G for gas , E for electric, and W for water in each circle. Your job is to connect each utility to each home WITHOUT crossing any lines. You may not pass a line through a house or other utility circle. Leave an inch and a half between each house. Put each circle an inch below each square. Mr. Borstein. Date: 9 Jun 1995 11:05:33 -0400 From: Dr. Ken Subject: Puzzle Hello there! I'm afraid your problem kind of got lost in the shuffle of problems. Also, I hope I can make you feel a little better about the fact that you couldn't solve it, because there is no solution possible. What's neat (and you might want to pass this along as a challenge to your students) is that while the problem can't be solved in the Euclidean plane, it CAN be done on the surface of a torus (a doughnut). See if your students can figure out why. -K |
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