Pentagon Tile Type 1

These tiles were made for Math 401: Mathematics through 3D Printing at George Mason University under Dr. Evelyn Sander (Fall 2021). The purpose of this project is to understand and design the various shapes and pattern of pentagonal tiling and its group. Pentagon tiling is one of the oldest mathematical problems that got many interests in the scientific community. The question was which other types or forms of pentagon that could tile the plane. It has been proved recently in 2015 that there are exactly 15 types of convex pentagonal tiles that could do so.

This pentagon tiling belongs to group 1 that was discovered by Reinhardt in 1918. This group is one of the first five tiles that could create isohedral tiling. This type 1 pentagon tile has a 2-tile primitive unit that could get repeated to tile the plane. It is stacked vertically and can be expanded in a horizontal direction in an infinite manner. The scale of this tile was around 36mm and 4mm thick. The required/recommended sca