
Tangram, 七巧板, Recreational math, Pedagogy
thingiverse
The Tangram is a Chinese puzzle that originated from cutting a square of thin material into five triangles, a square, and a rhomboid, which can be recombined in many different figures. For centuries, the Tangram has been used in both recreational and formal mathematics, providing students of all ages with meaningful and surprising mathematical discoveries. Today, people can design much more complicated puzzles following the Tangram style. However, the original Tangram set still holds its aesthetic appeal. The Tangram can be used as an introductory 3D design project using Fusion 360 or other 3D design software: parameters, sketches, basic constraints, extrusion, and 3D navigation. Adding some variety to the designs using "offsets," "circles," and "fillets" makes it more personal. It would be great for students to design their own Tangram and then use them to explore its mathematical structures from shapes to proportions. Here, the big square is 100mm by 100mm, with two choices for thickness: 3mm and 4mm. References: 1. https://www.merriam-webster.com/dictionary/tangram 2. https://en.wikipedia.org/wiki/Tangram 3. Read, R. C. (1965). Tangrams: 330 Puzzles. Dover Recreational Math. Dover Publications. 4. http://www.archimedes-lab.org/tangramagicus/pagetang1.html
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