Pythagorean Theorem Cubes Proof

thingiverse

This is an example of a proof of the Pythagorean Theorem. The cubes in the 3x3 and 4x4 boxes can be rearranged on this model to show that the areas will be the same as that of the 5x5 box. This allows for visual learners to fidgit with the Pythagorean Theorem and see how it truly works so that they not only have the formula memorized 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: SeeMeCNC Printer: Rostock MAX Notes: One thing to keep in mind when printing the cubes 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. Lastly, in total you will need to print off 25 of the cube file supplied. This file is for only one cube but 25 are needed to complete the model. Post-Printing Once each of the parts has been printed you must place your cubes into the proper boxes depending on how many you have. The 3x3 box takes 9 cubes to fill it and the 4x4 box takes 16 cubes to fill it. Once you have done this 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 began by creating a 3x3, 4x4, and 5x5 cube with a height that is slightly taller than our cube and a width that is 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. We then created a cube to fit in between the original cubes. This was wirecutted 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 readjust the size of the sides in order for them to fit properly in the trays. Custom Section When printing our cubes we had issues where they did not stick to the printer bed and the cubes would also warp. We also had some issues with getting our angles lines up during the creation piece for our base.