Pythagorean Theorem, Visual Proof, Chinese Origin

cults3d

Update: Added a third STL file with more details to show the intricate relationships within a Pythagorean Square. The Pythagorean Theorem can be proven or validated for a right triangle using various methods. This 3D model can be used to create a well-known visual arrangement that has its roots in ancient Chinese mathematicians dating back around 220 BC. Young children can explore this concept using paper models, cardboard models, or now, 3D printouts. The first two STL files each contain four right triangles within a 70mm x 70mm square. The first measures 30mm, 40mm, and 50mm. The second is 20mm, 50mm, and approximately 53.85mm. The third STL file has more details and is closer to the original configuration. There is some room within the square to allow for easy assembly. I added small triangles along the square to prevent warping. This entire project was designed using parametric design on Fusion 360. It can serve as an entry point project for middle school or secondary students to learn about 3D design in a STEM setting. Either PLA or ABS can be used. References: Swetz, F. J., & Katz, V. J. (2011). "Mathematical Treasures - Zhou Bi SuanJing," MAA Convergence. Available at https://www.maa.org/press/periodicals/convergence/mathematical-treasures-zhoubi-suanjing