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I have posted a follow-up to my previous post on the Turtle #aperiodic #monotile. While it is rather dry, the result at the end is significant for constraining Turtle tilings. https://mathblock8128.wordpress.com/2024/06/08/turtle-tiles-part-2-recursive-kagome-lattices-and-colour-waves/
Turtle tiles part 2: Recursive Kagome lattices and colour waves

This is a direct sequel to the last post on the Turtle Tile. Please read that first to make sense of this post. This post has also been heavily edited from a previous version to fit with new insigh…

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Apr 13, 2024 at 7:06pmWeb
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The previous post: https://mathblock8128.wordpress.com/2024/03/20/turtle-tiles-part-1-forcing-non-periodicity/
Turtle tiles part 1: Forcing non-periodicity

This is a rework of a previous post proving that the Turtle tile is non-periodic, to be used as a starting point for further explorations. A edit has been made to change the defined term ‘irr…

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