[Note : Cat not included!]
Penrose tiles are an example of aperiodic tiling:
https://en.wikipedia.org/wiki/Penrose_tiling
See the article above for the "rules" on tiling with these pieces. I tried to design these pieces so as to use a small amount of filament per tile, as you will really need to print a bunch of these to get a feel for how they work (although you can make all seven of the possible "vertex figures" with five "darts" and four "kites"). Of course you'll need more tiles to do more extensive tiling, perhaps 15 - 20 tiles of each color; more is better - especially if you want to tile the infinite plane!
The tiles here are the "kite" and "dart" shapes; I printed my tiles in different colors for each shape, although this is not a requirement.
The tiles typically have two different color circular arcs on them to show how the edge matching works. To simplify the printing (since there are two different color arcs on each piece), I show one "color" of arc as a single line, and the other "color" as a double line.
The OnShape 3D CAD files are here :
Print in PLA using the provided 3mf files; otherwise :
The gcode files provided will print four of each tile, one at a time. I thought this was a "safer" way to print rather than trying to print a very large number all at once which could be costly in the event of a print failure.
Good bed adhesion is required for good results (duh!), but this can be a bit tricky with these flat pieces. I found the use of a bit of glue stick to be helpful.
The author marked this model as their own original creation.