Tatami Tilings Set: Square Grid, 1x1 Monomino and 1x2 Domino Tiles

thingiverse

A tatami tiling is a covering of the grid with domino tiles (1x2) and monomino tiles (1x1) so that NO FOUR TILES MEET. It turns out these configurations are so interesting, mathematically, that there was ample material for me to do my PhD on them! I also like to make stuff, so here are some models that will help you play around with them. The shape of this grid and these tiles makes it quick and easy to make configurations. Print the grid with a colour that contrasts to the colours so that you can see the grid lines in between tiles. The tatami condition "NO FOUR TILES MEET" is equivalent to covering the grid with tiles so that the visible grid lines do not form '+' shapes. You can see the '+' shape in one of the example tilings. Instructions If your printer can do a nice 45 degree overhang, go ahead with the 1 piece files. Otherwise, print the tiles in two pieces and stick them together for a nicer finish. I've included the source files in case someone wants to make a derivative.