|
Zapiski Nauchnykh Seminarov POMI, 2021, Volume 502, Pages 74–121
(Mi znsl7094)
|
|
|
|
This article is cited in 2 scientific papers (total in 2 papers)
Symmetries structure of karyon tilings
V. G. Zhuravlev Vladimir State University
Abstract:
In this article, we study the symmetry properties of the karyon tilings $\mathcal{T}$ of the torus $\mathbb{T}^d$ of arbitrary dimension $d$. Its main results are the following statements: 1) The tilings $\mathcal{T}$ are translation invariant relative to the canonical shift $S$ of the torus $\mathbb{T}^d$. This is a fundamental property of the karyon tilings. 2) Nondegenerate karyon tilings $\mathcal{T}$ have $2^d$ central symmetries.
Key words and phrases:
toric karyon tilings, classification, symmetries, combinatorics, local rules.
Received: 31.03.2021
Citation:
V. G. Zhuravlev, “Symmetries structure of karyon tilings”, Algebra and number theory. Part 4, Zap. Nauchn. Sem. POMI, 502, POMI, St. Petersburg, 2021, 74–121
Linking options:
https://www.mathnet.ru/eng/znsl7094 https://www.mathnet.ru/eng/znsl/v502/p74
|
Statistics & downloads: |
Abstract page: | 64 | Full-text PDF : | 22 | References: | 14 |
|