p3m1 in Triangles

thingiverse

<h1>P3m1 Wallpaper Group</h1> <small>George Mason University Math 401 Mathematics Through 3D Printing Jean-Marc Daviau-Williams</small> <p>My wallpaper group was set at p3m1 configuration. The parameters for this wallpaper group are three points of rotation, which must lie on mirror lines, requiring a reflection to exist. For my design, made using the symmetry application, I chose to compose my tiling with equilateral triangles in two colors, each with three different designs. The first color was yellow, a plain triangle with no design, while the other two were red and featured two distinct designs. One had a single line passing through a vertex and its opposite side, while the other had three lines passing through in the same manner. This allowed me to meet the requirements of the p3m1 wallpaper group.</p> <p>The process of creating the 3D model was done using OpenSCAD in three parts, across two files. First, I created a .scad file featuring a single equilateral triangle with a small height, followed by two equilateral triangles in the second file with the same configuration. Next, I made a rectangular prism and a smaller equilateral triangle that started at a vertex and traveled to its opposite side. Finally, on the last triangle in the second file, I copied that shape and rotated it 60 degrees for the two copies, adjusting their positions accordingly.</p> <p>Regarding the print itself, I printed the object over a couple of hours with the Makerbot, which would take less time than some other printers in the GMU MakerLab due to easy color switching and my non-intricate design. However, it did require constructing a large, ugly, and hard-to-remove raft as support first, adding to the build time. In the future, I plan to break down my .scad code into more manageable modules to simplify shape rotation adjustments.</p>