Pythagoras, Pythagorean Theorem, Visual Proof

thingiverse

Update: Included a third STL file with more details to demonstrate the intricate connections within a Pythagorean Square. The Pythagorean Theorem can be proven or verified for a right triangle using numerous methods. This 3D model can be used to create a well-known visual configuration that originated with ancient Chinese mathematicians around 220 BC. The idea can be explored with young children 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, while the second is 20mm, 50mm, and approximately 53.85mm. The third STL file has more details and is closer to the original configuration, leaving some room within the square for easy assembly. I added small triangles along the square to prevent warping. The entire design is parametrically created on Fusion 360. This project can serve as an entry point 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