Properties of B\"or\"oczki tilings in high dimensional hyperbolic spaces
classification
🧮 math.MG
keywords
tilingshyperbolicpropertiesarbitrarybasicclassifyconsiderdimension
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We consider families of B\"or\"oczky tilings in hyperbolic space in arbitrary dimension, study some basic properties and classify all possible symmetries. In particular, it is shown that these tilings are non-crystallographic, and that there are uncountably many tilings with a fixed prototile.
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