Pentagon PuzzleDate: 9/12/96 at 19:56:55 From: Johnny Taylor Subject: Pentagon Puzzle Three numbers are placed on each side of a pentagon, the numbers on the corners being used on two sides. Using each of the numbers 1-10 only once, each side has to add up to the same number. We have come up with one solution, but need three more. Can you help? Amanda Taylor Date: 10/27/96 at 22:52:11 From: Doctor Lynn Subject: Re: Pentagon Puzzle I've put all four solutions in a picture called http://mathforum.org/dr.math/gifs/pentgons.jpg In case you can't read it for some reason, here are the values reading round from a corner: 1, 10, 3, 6, 5, 7, 2, 8, 4, 9 This comes from putting them in every other place and then working back filling the gaps. 10, 1, 8, 5, 6, 4, 9, 3, 7, 2 This is the same as the first, but you count down from ten, so every value is subtracted from 11. 1,10, 5, 2, 9, 4, 3, 6, 7, 8 This is done the same way as the first, but first putting in the odd numbers, then the evens. 10, 1, 6, 9, 2, 7, 8, 5, 4, 3 This is done by subtracting each of the previous values from 11 as before. I hope that helps. -Doctor Lynn, The Math Forum Check out our web site! |
Search the Dr. Math Library: |
[Privacy Policy] [Terms of Use]
Ask Dr. Math^{TM}
© 1994-2015 The Math Forum
http://mathforum.org/dr.math/