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The Corona Limit of Penrose Tilings Is a Regular Decagon

Abstract : We define and study the corona limit of a tiling, by investigating the signal propagations on cellular automata (CA) on tilings employing the simple growth CA. In particular, the corona limit of Penrose tilings is the regular decagon.
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Shigeki Akiyama, Katsunobu Imai. The Corona Limit of Penrose Tilings Is a Regular Decagon. 22th International Workshop on Cellular Automata and Discrete Complex Systems (AUTOMATA), Jun 2016, Zurich, Switzerland. pp.35-48, ⟨10.1007/978-3-319-39300-1_4⟩. ⟨hal-01435032⟩

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