Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Dirk Frettlöh"'
Publikováno v:
Discrete Analysis (2024)
Substitution tilings with transcendental inflation factor, Discrete Analysis 2024:11, 24 pp. Symbolic dynamics is the study of topological dynamical systems $(X,T)$, called *subshifts*, where $T\colon X\to X$ is the shift transformation acting on a
Externí odkaz:
https://doaj.org/article/e1cdfffd08bf480c98098f890d2bf443
Autor:
Dirk Frettlöh, Alexey Garber
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol Vol. 17 no.2, Iss Combinatorics (2015)
The vertex corona of a vertex of some tiling is the vertex together with the adjacent tiles. A tiling where all vertex coronae are congruent is called monocoronal. We provide a classification of monocoronal tilings in the Euclidean plane and derive a
Externí odkaz:
https://doaj.org/article/09f93aad1b79442ea9e7663ff93e1fed
Autor:
Dirk Frettlöh
Publikováno v:
Mitteilungen der Deutschen Mathematiker-Vereinigung. 31:12-16
Autor:
Dirk Frettlöh
Publikováno v:
Mathematische Semesterberichte.
Publikováno v:
Polytopes and Discrete Geometry. :43-56
Publikováno v:
Acta crystallographica. Section A, Foundations and advances. 78(Pt 1)
Understanding the properties of tilings is of increasing relevance to the study of aperiodic tilings and tiling spaces. This work considers the statistical properties of the hull of a primitive substitution tiling, where the hull is the family of all
Two Delone sets are bounded distance equivalent to each other if there is a bijection between them such that the distance of corresponding points is uniformly bounded. Bounded distance equivalence is an equivalence relation. We show that the hull of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::514901b8a1adbf53bafa0792f78e8d6d
http://arxiv.org/abs/2101.02514
http://arxiv.org/abs/2101.02514
Autor:
Christian Richter, Dirk Frettlöh
R. Nandakumar asked whether there is a tiling of the plane by pairwise incongruent triangles of equal area and equal perimeter. Recently a negative answer was given by Kupavskii, Pach and Tardos. Still one may ask for weaker versions of the problem,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a9f5cc8129aa82139fba4bafd2a86af7
https://pub.uni-bielefeld.de/record/2943572
https://pub.uni-bielefeld.de/record/2943572
Autor:
Dirk Frettlöh, Alexey Garber
Publikováno v:
Discrete & Computational Geometry. 62:649-661
Recent results of Grepstad and Larcher are used to show that weighted cut-and-project sets with one-dimensional direct space and one-dimensional internal space are bounded distance equivalent to some lattice if the weight function h is continuous on
Autor:
Dirk Frettlöh, Christian Richter
Publikováno v:
Journal of Combinatorial Theory, Series A. 182:105461
Motivated by a question of R. Nandakumar, we show that the Euclidean plane can be dissected into mutually incongruent convex quadrangles of the same area and the same perimeter. As a byproduct we obtain vertex-to-vertex dissections of the plane by mu