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Stomachion - Archemedes Puzzle
Stomachion - Archemedes Puzzle
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Stomachion is also known as loculus Archimedius and Syntomachion and Ostomachion
It has been shown that each of the pieces has an area that is a rational fraction (a multiple of 1/48th) of the total area of the dissected parallelogram.
It is believed that Archimedes anticipated aspects of combinatorics. Combinatorics involves finding the number of ways a given problem can be solved, subject to well-defined constraints.
Mathematician Bill Cutler determined in 2003 that there are 536 unique ways to assemble the square shape. See how many you can find. Finding even one beyond the one packaged with the set is a good accomplishment.
There is an amazing story about Archimedes' scrolls, the Palimpsest, which was cut up, written over and eventually recovered through a journey of more than two thousand years. The Stomachion puzzle was found on these scrolls.
There are many excellent websites containing fascinating historical and mathematical aspects of the Stomachion. Just do a web search on the name.
Level 5 Difficulty.
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