Cubic Pyramid Iteration

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Cubic Pyramid Iteration Ari Jaff 09/28/2022 George Mason University Math 401: Mathematics Through 3D Printing. This is a 3d print using an iterated function system. The Iteration begins as a cube sliced in half along the xy-plane. This rectangular prism then has the proportionally equivalent rectangular prisms attached to each of its 4 sides and top. The side pieces are inserted halfway through. These iterations are similar, scaled down by ½. With 5 of these iterations, it creates a “cubic” pyramid design. The printer I used for this print was the Creality Ender 3 Pro. The print took approximately 8.5 hours to complete. The temperature was set to 222° Celsius. I used a brim as the adhesion support. The print was set to a 15% cubic infill. To design this, I began by using the cube function to start with the base. This build began as a FULL cube with an additional cube attached to the bottom as well. Then for the iterations, I scaled the cube’s length function “len” by ½. Then I translated to the len value on one axis, and half on each of the other two for the first 3 faces. Then I just took the negated value for each of the other 3. I used a nested function on a module to repeat this process depending on how many iterations I want. Finally, I cut the bottom half off the entire design to make it a pyramid look. Where do the shapes learn about geometry? YouCube.