While on the subject of trisection and the number 7, here is a good problem from the 2000 World Puzzle Championship: http://wpc.puzzles.com/history/tests/2000wpc/Problem15.pdf Nick mcintosh@servidor.unam.mx wrote:
Quoting Jason Holt <jason@lunkwill.org>:
Take any triangle, and trisect the three edges. Connect each corner to the left trisection mark. What is the ratio of the full triangle to the interior triangle?
Everyone knows trisections are impossible: http://en.wikipedia.org/wiki/Compass_and_straightedge#Angle_trisection
Wasn't the trisection applied to an edge, ehich is easily possible, rather than to an angle? And isn't this somebody's famous construction, although I forget who?
- hvm
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