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Tangram, 七巧板, Recreational math, Pedagogy

Capture d’écran 2017-12-26 à 16.11.15.png Tangram, 七巧板, Recreational math, Pedagogy
Capture d’écran 2017-12-26 à 16.11.10.png Tangram, 七巧板, Recreational math, Pedagogy
Capture d’écran 2017-12-26 à 16.11.05.png Tangram, 七巧板, Recreational math, Pedagogy
pic_5.png Tangram, 七巧板, Recreational math, Pedagogy
pic_6.png Tangram, 七巧板, Recreational math, Pedagogy
Capture d’écran 2017-12-26 à 16.10.47.png Tangram, 七巧板, Recreational math, Pedagogy
Capture d’écran 2017-12-26 à 16.10.53.png Tangram, 七巧板, Recreational math, Pedagogy
Capture d’écran 2017-12-26 à 16.10.59.png Tangram, 七巧板, Recreational math, Pedagogy
Tangram_A_3mm.stl Tangram, 七巧板, Recreational math, Pedagogy
Tangram_A_4mm.stl Tangram, 七巧板, Recreational math, Pedagogy
Tangram_B_1_3mm.stl Tangram, 七巧板, Recreational math, Pedagogy
Tangram_B_1_4mm.stl Tangram, 七巧板, Recreational math, Pedagogy
Tangram_B2_3mm.stl Tangram, 七巧板, Recreational math, Pedagogy
Tangram_B2_4mm.stl Tangram, 七巧板, Recreational math, Pedagogy
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STL Folder details Close
  • Tangram_A_3mm.stl
  • Tangram_A_4mm.stl
  • Tangram_B2_3mm.stl
  • Tangram_B2_4mm.stl
  • Tangram_B_1_3mm.stl
  • Tangram_B_1_4mm.stl

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Publication date 2017-12-26 at 15:16
Design number 18922
LGBU

LGBU

3D printer file info

3D model description

The Tangram, known as “七巧板,” is “a Chinese puzzle made by cutting a square of thin material into five triangles, a square, and a rhomboid which are capable of being recombined in many different figures” (Merriam Webster). Simple as it is, it has been used in recreational and formal mathematics for centuries, affording students of all ages meaningful and surprising mathematical explorations and insights. Today, one can design much more complicated puzzles in a tangram style. However, the original tangram set holds its aesthetic appeal.

The Tangram can be used as an introductory 3D design project with Fusion 360 or any other 3D design software: parameters, sketches, basic constraints, extrusion, and 3D navigation. I added a little variety to the designs using “offsets,” “circles,” and “fillets,” just to make 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

https://www.merriam-webster.com/dictionary/tangram
https://en.wikipedia.org/wiki/Tangram
Read, R. C. (1965). Trangrams: 330 puzzles. Dover Recreational Math. Dover Publications.
http://www.archimedes-lab.org/tangramagicus/pagetang1.html

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