Thingiverse
Aperiodic Tililng Turtles
door adamsd5
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Inspired by this:
https://statmodeling.stat.columbia.edu/2023/03/24/the-hat-a-single-shape-that-can-tile-the-plane-aperiodically-but-not-periodically/
And then this twitter post:
An aperiodic turtle tessellation based on new aperiodic monotile Tile (1, 1.1).In the tiling, it is said that around 12.7% of tiles are reflected. The green one is an instance. One more reflected turtle is hidden in the tiling. Who is the reflected? pic.twitter.com/GZJRP35RIC— Yoshiaki Araki 荒木義明 (@alytile) March 22, 2023
Which seems to be related to this:
https://aperiodical.com/2023/03/an-aperiodic-monotile-exists/
I decided to laser cut it. Since my Escher-style tiling turtles seemed popular (https://www.thingiverse.com/thing:2649164), I decided to upload this one as well.
There should be no overlapping lines. I recommend optimizing your cuts to go inside to out so that you don't drop an entire group before cutting it apart.
This set can be cut in a 6x6 square blank. These tiles
https://statmodeling.stat.columbia.edu/2023/03/24/the-hat-a-single-shape-that-can-tile-the-plane-aperiodically-but-not-periodically/
And then this twitter post:
An aperiodic turtle tessellation based on new aperiodic monotile Tile (1, 1.1).In the tiling, it is said that around 12.7% of tiles are reflected. The green one is an instance. One more reflected turtle is hidden in the tiling. Who is the reflected? pic.twitter.com/GZJRP35RIC— Yoshiaki Araki 荒木義明 (@alytile) March 22, 2023
Which seems to be related to this:
https://aperiodical.com/2023/03/an-aperiodic-monotile-exists/
I decided to laser cut it. Since my Escher-style tiling turtles seemed popular (https://www.thingiverse.com/thing:2649164), I decided to upload this one as well.
There should be no overlapping lines. I recommend optimizing your cuts to go inside to out so that you don't drop an entire group before cutting it apart.
This set can be cut in a 6x6 square blank. These tiles
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