Matches in SemOpenAlex for { <https://semopenalex.org/work/W4309211902> ?p ?o ?g. }
Showing items 1 to 73 of
73
with 100 items per page.
- W4309211902 abstract "Rhombus Penrose tilings are tilings of the plane by two decorated rhombi such that the decoration match at the junction between two tiles (like in a jigsaw puzzle). In dynamical terms, they form a tiling space of finite type. If we remove the decorations, we get, by definition, a sofic tiling space that we here call geometrical Penrose tilings. Here, we show how to compute the patterns of a given size which appear in these tilings by two different method: one based on the substitutive structure of the Penrose tilings and the other on their definition by the cut and projection method. We use this to prove that the geometrical Penrose tilings are characterized by a small set of patterns called vertex-atlas, i.e., they form a tiling space of finite type. Though considered as folk, no complete proof of this result has been published, to our knowledge." @default.
- W4309211902 created "2022-11-24" @default.
- W4309211902 creator A5001064433 @default.
- W4309211902 creator A5080960416 @default.
- W4309211902 date "2022-11-15" @default.
- W4309211902 modified "2023-09-23" @default.
- W4309211902 title "Geometrical Penrose Tilings are characterized by their 1-atlas" @default.
- W4309211902 doi "https://doi.org/10.48550/arxiv.2211.08239" @default.
- W4309211902 hasPublicationYear "2022" @default.
- W4309211902 type Work @default.
- W4309211902 citedByCount "0" @default.
- W4309211902 crossrefType "posted-content" @default.
- W4309211902 hasAuthorship W4309211902A5001064433 @default.
- W4309211902 hasAuthorship W4309211902A5080960416 @default.
- W4309211902 hasBestOaLocation W43092119021 @default.
- W4309211902 hasConcept C111919701 @default.
- W4309211902 hasConcept C114614502 @default.
- W4309211902 hasConcept C132525143 @default.
- W4309211902 hasConcept C151730666 @default.
- W4309211902 hasConcept C161903591 @default.
- W4309211902 hasConcept C178650486 @default.
- W4309211902 hasConcept C187691185 @default.
- W4309211902 hasConcept C202444582 @default.
- W4309211902 hasConcept C203101518 @default.
- W4309211902 hasConcept C21550011 @default.
- W4309211902 hasConcept C2524010 @default.
- W4309211902 hasConcept C2776673561 @default.
- W4309211902 hasConcept C2778572836 @default.
- W4309211902 hasConcept C33923547 @default.
- W4309211902 hasConcept C35908053 @default.
- W4309211902 hasConcept C41008148 @default.
- W4309211902 hasConcept C43817857 @default.
- W4309211902 hasConcept C76513542 @default.
- W4309211902 hasConcept C80899671 @default.
- W4309211902 hasConcept C86803240 @default.
- W4309211902 hasConceptScore W4309211902C111919701 @default.
- W4309211902 hasConceptScore W4309211902C114614502 @default.
- W4309211902 hasConceptScore W4309211902C132525143 @default.
- W4309211902 hasConceptScore W4309211902C151730666 @default.
- W4309211902 hasConceptScore W4309211902C161903591 @default.
- W4309211902 hasConceptScore W4309211902C178650486 @default.
- W4309211902 hasConceptScore W4309211902C187691185 @default.
- W4309211902 hasConceptScore W4309211902C202444582 @default.
- W4309211902 hasConceptScore W4309211902C203101518 @default.
- W4309211902 hasConceptScore W4309211902C21550011 @default.
- W4309211902 hasConceptScore W4309211902C2524010 @default.
- W4309211902 hasConceptScore W4309211902C2776673561 @default.
- W4309211902 hasConceptScore W4309211902C2778572836 @default.
- W4309211902 hasConceptScore W4309211902C33923547 @default.
- W4309211902 hasConceptScore W4309211902C35908053 @default.
- W4309211902 hasConceptScore W4309211902C41008148 @default.
- W4309211902 hasConceptScore W4309211902C43817857 @default.
- W4309211902 hasConceptScore W4309211902C76513542 @default.
- W4309211902 hasConceptScore W4309211902C80899671 @default.
- W4309211902 hasConceptScore W4309211902C86803240 @default.
- W4309211902 hasLocation W43092119021 @default.
- W4309211902 hasLocation W43092119022 @default.
- W4309211902 hasLocation W43092119023 @default.
- W4309211902 hasOpenAccess W4309211902 @default.
- W4309211902 hasPrimaryLocation W43092119021 @default.
- W4309211902 hasRelatedWork W1997135482 @default.
- W4309211902 hasRelatedWork W2005255633 @default.
- W4309211902 hasRelatedWork W2017239882 @default.
- W4309211902 hasRelatedWork W2063059075 @default.
- W4309211902 hasRelatedWork W2093102771 @default.
- W4309211902 hasRelatedWork W3213562055 @default.
- W4309211902 hasRelatedWork W4301037781 @default.
- W4309211902 hasRelatedWork W4309211902 @default.
- W4309211902 hasRelatedWork W4320931267 @default.
- W4309211902 hasRelatedWork W4367860045 @default.
- W4309211902 isParatext "false" @default.
- W4309211902 isRetracted "false" @default.
- W4309211902 workType "article" @default.