The sphinx tile is composed of six identical triangles. It has the ability to tile itself. The number of different self-tilings as the order of the  sphinx gets larger has recently been extended.  The computing code that resulted from that effort (Walter Trump) morphed into a simple graphical user interface to tile any shape on … Continue reading Mathematical Models: Sphinx Tiles – Craig Knecht

Little effort has been made to tile objects with the polyiamonds larger than the heptiamonds. Perhaps this is because the number of different polyiamonds quickly gets into the thousands. Bit map vector programming can easily take a subset of the larger polyiamonds ( < 50 different tiles) and tile a space. Finding polyiamond sets with … Continue reading Mathematical Models: Humanizing the Polyiamonds