The aperiodic monotile in a variety of formats

This repository contains code and vector image files to produce the aperiodic monotiles found by David Smith, Joseph Samuel Myers, Craig S. Kaplan, and Chaim Goodman-Strauss.

There are two monotiles, which each tile the plane aperiodically.

A 'hat':

And a 'turtle':

Each file produces a single copy of the tile. Several copies of the tile, with some flipped or mirrored, fit together to tile the plane.

The files are:

• hat-monotile.svg / turtle-monotile.svg - A vector graphics file for use in programs such as Inkscape or Adobe Illustrator.
• hat-monotile-kites.svg / turtle-monotile-kites.svg - A vector graphics file showing the construction of each tile from kites.
• hat-monotile.scad / turtle-monotile.scad - Code to produce the tile in OpenSCAD, for 3D printing.
• hat-monotile.stl / turtle-monotile.stl - An STL file produced using the OpenSCAD code, which can be sent directly to a 3D printer, or manipulated in other 3D software.
• hat-monotile.logo / turtle-monotile.logo - A LOGO script to draw the outline of the title with Turtle graphics.