Cubic Pyramid Iteration

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. The