Category: Turtle Tile series
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Turtle tiles part 2: Properties of coloured Kagome lattices
This is a direct sequel to the last post on the Turtle Tile. Please read that first to make sense of this post. In accounts of the discovery of the Hat aperiodic monotile such as [1], one of the first clues to the structure of its tilings was the fact that reflected Hat tiles seemed…
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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 ‘irrational’ to ‘arational’ in the post. A follow-up post has also been posted. In March 2023, an aperiodic monotile was…
The mathBlock shed 