Aperiodic Monotile: Non Repeating Pattern

I saw this article in the NY times: https://nyti.ms/40kfgdT

This guy have found an interlocking shape that tiles but doesn’t repeat - actually he’s found two:

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Butcher block? Charcuterie board perhaps? I feel a project coming on…

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Check out Penrose tiles.

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Welcome to the world of polykites, metatiles, continuum of polygons and geometric incommensurability.

Prepare for almost 100 pages of slumber inducing combinatorial, computer-assisted proof.

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And then you can piggy-back on the researchers with this and make your own:

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Prepare to be mesmerized or what scientists do when they are waiting for the real computer to finish computing.

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…I was typing something but suddenly got hypnotized starring at this… Did you push a subliminal message at me??? :smiley:

Here’s the monotile as an SVG for your milling fun. Right-click on the image as “save as.”

einstein_tile

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It makes me happy this has hexagons at its roots :slight_smile:

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Should one cut that as is or allow for fit as with a jigsaw puzzle.

Update: It occurs to me that the corners will require filleting to match the endmill used.

Imagine a jigsaw puzzle where all the pieces are the same shape. Not even a flat edge to start you off!

Fusion 360 Model Link

.075 inside and outside corners so you can fit a 1/8 end mill.

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It isn’t about making a puzzle. It is about playing the puzzle.

This puzzle adds a correct sequence to the game. :smiley:

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