# 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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 [quote="JEK595"]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. ------------------ -grace the mind with puzzles, games, and tapioca.- -If at first you don't succeed, try, try again. (Not suitable for skydivers.) [/quote]
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Ferris
Posted: Wed Feb 27, 2002 1:32 am    Post subject: 1

bump.
Ferris
Posted: Tue Feb 12, 2002 4:33 am    Post subject: 0

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.
Milt
Posted: Tue Feb 12, 2002 4:16 am    Post subject: -1

JEK595
Posted: Tue Feb 12, 2002 2:05 am    Post subject: -2

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.

------------------
-grace the mind with puzzles, games, and tapioca.-
-If at first you don't succeed, try, try again. (Not suitable for skydivers.)