The Grey Labyrinth is a collection of puzzles, riddles, mind games, paradoxes and other intellectually challenging diversions. Related topics: puzzle games, logic puzzles, lateral thinking puzzles, philosophy, mind benders, brain teasers, word problems, conundrums, 3d puzzles, spatial reasoning, intelligence tests, mathematical diversions, paradoxes, physics problems, reasoning, math, science.
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JEK595
Just a Wandering Enigma
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Posted: Tue Feb 12, 2002 2:05 am Post subject: 1 |
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If possible, show the diagrams on how to do these:
1. Cut a regular heptagon into 20 pieces and rearrange those pieces to create two identical regular seven-pointed stars.
2. Use then same twenty pieces to form four smaller regular heptagons.
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-grace the mind with puzzles, games, and tapioca.-
-If at first you don't succeed, try, try again. (Not suitable for skydivers.)
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Milt
Daedalian Member
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Posted: Tue Feb 12, 2002 4:16 am Post subject: 2 |
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Ferris
Daedalian Member
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Posted: Tue Feb 12, 2002 4:33 am Post subject: 3 |
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OK, JEK:
Take a regular heptagram (7-pointed star), inscribed in a circle, and calculate the area of the small heptagon in the centre ( relative to the radius of the circle).
The formula can be modified for the general case of any odd n-gram (5,7,9...), but there's a slight difference in the formula when it's an even n-gram (like the 6-sided 'star of David').
Nothing very hard about it, but it's a bit of fun related to the puzzle you posted. |
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Ferris
Daedalian Member
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Posted: Wed Feb 27, 2002 1:32 am Post subject: 4 |
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