James Miller - SXU Math 150 - Geometry for Artists

During our week 2 class, we worked on creating a carpet fractal in OpenSCAD, which I named "Bombers" (based on the resemblance to a stealth bomber) I created this by modifying some set code in OpenSCAD. The original design was a 100mm square with minimal depth, missing 1/16 of its area. My assignment was to subtract additional area and repeat the design multiple times. Original shape, code featured on the left with directions. Dr. Schreck and I worked on computing the area of the shape, trying to determine the area of the fractal at its first, second and third iterations. I then recreated the shape in OpenSCAD by adding two "/" marks before the location in the code, indicating to the program to subtract that area. My resulting n=1 looked like the following. n=1 n=2 n=3 n=4 n=4 detail In class, we continued to work on the math involved in the fractal, and produced the following calculation of the geometric series needed to continu...

My assignment for week 2 was to investigate the online program Tinkercad, and build a fractal shape. I first used Adobe Illustrator to brainstorm a shape, that I call "Dutch Blitz" inspired by the Amish "hex signs" I grew up seeing in Northwest Ohio. These designs are painted and hung on barns for good luck, and often have geometric, quilt-like designs. Hex Signs "Dutch Blitz Fractal" I began with a cube framework, with a second cube turned 45 degrees, and two spoked half-frames jutting out horizontally from the design. I then shrink that same design and rotate it 90 degrees, placing it inside the other, repeating indefinitely. As the design shrinks two-dimensionally, it also shrinks three-dimensionally, pulling in toward the center of the cube. This is seen in the three dimensional models I created in Tinkercad. Dutch Blitz Fractal 3D Framework - Front View Dutch Blitz Fractal 3D Framework - Side View Dutch Blitz Fractal 3D Fr...