Pentagonal Tiling Type 14

As assigned by George Mason University's Math 401: Mathematics through 3D printing.

For this class I was assigned to print a pentagonal tiling and I was assigned Tiling Type 14. Type 14 was found by Rolf Stein in 1985. This tiling differs from many other of the 15 total pentagonal tilings because it is a very specific pentagon with every angle having an exact measure. Pictures provided show the exact angle measurements to create this unique pentagon.

This pentagon has a 6 tile primitive unit meaning these six tiles get repeated over and over again to tile the plane. In the pictures we see each primitive tiles have side b lining up, since this side has a unique length of b = a √[(11√57 -25)/8]. While sides 2a = 2c = d = e.


This print was from the Ultimaker and took about 4 hours to print all 8 tiles. A magenta pla was the material used to print. If I were to print again, I would change the thickness of the tiles to 3mm to speed up the process as the 5mm mark was a bit to thi