Pythagorean Theorem Cubes Proof

thingiverse

This is an example of a proof of the Pythagorean Theorem. The 3x3 and 4x4 boxes can be rearranged on this model to show that their areas will match exactly that of the 5x5 box. This allows visual learners to work with the Pythagorean Theorem and see how it really works, so they don't just memorize the formula but also understand what that formula means. (B.B., C.F., and R.H., MAT 363 Fall '16) Inspired by xoan's version: https://www.thingiverse.com/thing:183886 Print Settings Printer Brand: Printer: SeeMeCNC Notes: One thing to keep in mind when printing the cubes is that if the bed temperature is too high or the cubes are being printed too small, they will warp on one side. Also, if they are being printed at a smaller scaling, they may not stick to the bed very well. In total, 25 cube files need to be printed off. This file is for only one cube but 25 are needed to complete the model. Post-Printing Once each part has been printed, place your cubes into their proper boxes depending on how many you have. The 3x3 box takes nine cubes to fill it and the 4x4 box takes 16 cubes to fill it. Once this is done, your model is completed and ready to use for learning about the Pythagorean Theorem. How I Designed This This was designed in two pieces: the base piece and the cube. The Base Piece To create this piece, we started by creating a 3x3, 4x4, and 5x5 cube with a height slightly taller than our cube and a width slightly larger than its given dimensions. We then hollowed out each of these boxes so that the cubes will fit inside of them. Next, we matched up our boxes so that their corners matched precisely. Then we created a cube to fit in between the original cubes. This was wirecut down into the shape of a triangle and placed between our base pieces. The Cube When creating this, we used the cube command to create a cube. We then had to adjust the size of the sides so they would fit properly in the trays. Custom Section When printing our cubes, we encountered issues where they did not stick to the printer bed and the cubes warped. We also struggled with getting our angle lines up during the creation piece for our base.