Translator Disclaimer
July 2018 Strongly nonperiodic hyperbolic tilings using single vertex configuration
Kazushi Ahara, Shigeki Akiyama, Hiroko Hayashi, Kazushi Komatsu
Hiroshima Math. J. 48(2): 133-140 (July 2018). DOI: 10.32917/hmj/1533088825

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

Download 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

Information

Received: 29 February 2016; Revised: 22 October 2017; Published: July 2018
First available in Project Euclid: 1 August 2018

zbMATH: 06965537
MathSciNet: MR3835553
Digital Object Identifier: 10.32917/hmj/1533088825

Subjects:
Primary: 52C23
Secondary: 52C20

Rights: Copyright © 2018 Hiroshima University, Mathematics Program

JOURNAL ARTICLE
8 PAGES


SHARE
Vol.48 • No. 2 • July 2018
Back to Top