Abstract
A strongly nonperiodic tiling is defined as a tiling that does not admit infinite cyclic symmetry. The purpose of this article is to construct, up to isomorphism, uncountably many strongly nonperiodic hyperbolic tilings with a single vertex configuration by a hyperbolic rhombus tile. We use a tile found by Margulis and Mozes [5], which admits tilings, but no tiling with a compact fundamental domain.
Citation
Kazushi Ahara. Shigeki Akiyama. Hiroko Hayashi. Kazushi Komatsu. "Strongly nonperiodic hyperbolic tilings using single vertex configuration." Hiroshima Math. J. 48 (2) 133 - 140, July 2018. https://doi.org/10.32917/hmj/1533088825
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