Triangle-Square Dudeney's Dissection/Transformation, Hinged

The triangle-square is such a nice dissection problem (Dudeney, 1902), very playful and satisfying. While a taped model (https://www.thingiverse.com/thing:4815886 ) works to show the idea, it leaves much to the imagination (which is good to some extent). I wondered how I could connect them for easy classroom use. After a little experimentation, I decided to add some hinges so that the whole model can be printed in one piece. It works! Enough tolerance is left so that they can be printed at a resolution of 0.2mm or less using PLA filaments. Please consider starting with the 80mm x 30 mm version and try others depending your the printer characteristics.

Among the Files

1. Style 1: Triangle-Squares of various sizes, where 80mm x 30mm means that the side length of the equilateral triangle is 80mm and the height is 30mm.
2. Style 2: Two files with different hinge arrangements. The triangle is the weakest link; please use gentle force when loosening the hinges.

References

1. Dudeney, H. (1907). The Canterbury puzzles. Available at https://bestforpuzzles.com/bits/canterbury-puzzles/index.html
2. Steinhaus, H. (1950/1969). Mathematical snapshots (3rd ed.). New York, NY: Oxford University Press.
3. https://mathworld.wolfram.com/HaberdashersProblem.html
4. https://www.thingiverse.com/thing:4815886

FlashForge

Finder

No

No

0.15-0.20

20

Please consider starting with the 80mm x 30 mm version and try others depending your the printer characteristics.

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