Flower Field

Flower Field
by Gabriela Castaneda Guzman
09/14/2022

George Mason University
Math 401: Mathematics Through 3D Printing

The print was successfully sliced through ultimaker cura to print on Makerbot 3D printer. overall print was 6 hours, as hexagonal shapes (2 hrs) were printed separately from the flower shape (4 hrs), no supports were needed.
This flower field tiles the xy-plane under the wallpaper symmetry group p3m1. Some traits of this group are order-3 rotations, that the axes of reflections are inclined 60° to one another, and all centers of rotation lie on the reflection axes.
Main grid for tiling are equilateral triangles, which served me as a baseline for what equations to use to find perfect dimensions for tiling pattern. Using the tiling program from Image block 1 I was able to construct an inspiration for a flower field. Using power point, we see in Image block 3 and 4, I was able to create a geometric pattern that would
make for 2 and only 2 distinct shapes.