Friday, April 20, 2007

Geometric Dissection Puzzle Illusion

Geometric Dissection Puzzle Illusion


This page contains a geometric dissection puzzle that you can try at home. The shape shown below is a 12-sided polygon, known as a dodecagon. Print this page, then use scissors to cut out the dodecagon and also to cut it into pieces along the lines shown. The challenge is then to reassemble the pieces to form a hexagon, which is a 6-sided polygon. This dissection was discovered by Ernest Irving Freese sometime prior to 1957. The dissection was found by overlaying two tessellations, one of dodecagons and triangles, and the other of hexagons and triangles.

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