p3m1 in Triangles

P3m1 Wallpaper Group
George Mason University Math 401
Mathematics Through 3D Printing
Jean-Marc Daviau-Williams


My wallpaper group was the p3m1 configuration. The parameters for this wallpaper group are three points of rotation, which all must lie on mirror lines, hence must have a reflection. For my design (which was made using this application) I chose to compose my tiling using equilateral triangles with three different designs in two colors. The first color was yellow that was a plain triangle with no design. For the other two triangles, I made them red with two designs. One had a single line passing through a vertex and its opposite side and the other had three lines passing through in the same manner. Through this, I was able to achieve the requirement for the p3m1 wallpaper group.
The process of making the 3D model was done OpenSCAD in three parts, in two files. First, I created a two .scad files, placing a single equilateral triangle with a small height, and the