TICYL: Topological Interlocking Cylinder Generator
This is my first attempt for generating a Topological Interlocking configuration based on a non-planar surface following a systematic approach. We picked the cylinder since it is natural to move from the plane to the cylinder. Furthermore, we can map a chessboard on a cylinder. So, in theory we are able to generate a TIC using the classical approach (the tilting-angle method). However, overlapping on the pieces occurs. Our solution is to generate two types of pieces: regular tetrahedra from the black squares, and adapted quasi-tetrahedra from the white squares. The resultant configuration is a closed-form solution based on the radius of the cylinder, the number of pieces per ring and the number of rings of the configuration.