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Hexagon into Square Puzzle

by pmoews, published

Hexagon into Square Puzzle by pmoews Apr 15, 2016
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Design Tools

OpenSCAD

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355Views 293Downloads Found in Puzzles

Summary

Here is a puzzle based on the dissection of a hexagon into five pieces which can be rearranged to form a square. Given the five pieces the problem is to assemble them into first a square and then a hexagon. Two trays, one square and one hexagonal, are included as aids and storage for the pieces.

Print Settings

Printer Brand:

MakerBot

Printer:

MakerBot Replicator (5th Generation)

Rafts:

Doesn't Matter

Resolution:

0.3 mm

Method of Dissection

This dissection of a hexagon into a square used a method described by Harry Lindgren. Images of squares and hexagons are formed into parallelogram "strips" and superimposed. One strip is rotated and shifted against the other until a solution is found. The diagram above illustrates this. More detail is in the openSCAD code.

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