Pentagonal Tiling Type 14

Pentagonal Tiling Type 14

thingiverse

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 thick for the purpose of the print.

Download Model from thingiverse

With this file you will be able to print Pentagonal Tiling Type 14 with your 3D printer. Click on the button and save the file on your computer to work, edit or customize your design. You can also find more 3D designs for printers on Pentagonal Tiling Type 14.