FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2188667817> ?p ?o ?g. }

• W2188667817 abstract "This paper gives answers to a few questions concerning tilings of Euclidean spaces where the tiles are topological simplices with curvilinear edges. We investigate lattice triangulations of Euclidean 3-space in the sense that the vertices form a lattice of rank 3 and such that the triangulation is invariant under all translations of that lattice. This is the dual concept of a primitive lattice tiling where the tiles are not assumed to be Euclidean polyhedra but only topological polyhedra. In 3-space there is a unique standard lattice triangulation by Euclidean tetrahedra (and with straight edges) but there are infinitely many non-standard lattice triangulations where the tetrahedra necessarily have certain curvilinear edges. From the view-point of Discrete Differential Geometry this tells us that there are such triangulations of 3-space which do not carry any flat discrete metric which is equivariant under the lattice. Furthermore, we investigate lattice triangulations of the 3-dimensional torus as quotients by a sublattice. The standard triangulation admits such quotients with any number n ≥ 15 of vertices. The unique one with 15 vertices is neighborly, i.e., any two vertices are joined by an edge. It turns out that for any odd n ≥ 17 there is an n-vertex neighborly triangulation of the 3-torus as a quotient of a certain non-standard lattice triangulation. Combinatorially, one can obtain these neighborly 3-tori as slight modifications of the boundary complexes of the cyclic 4-polytopes. As a kind of combinatorial surgery, this is an interesting construction by itself. ∗For an extended abstract of this paper in two parts, see [6] and [24]. Received October 6, 2009 and in revised form June 16, 2010" @default.
• W2188667817 created "2016-06-24" @default.
• W2188667817 creator A5062844162 @default.
• W2188667817 date "2009-01-01" @default.
• W2188667817 modified "2023-09-26" @default.
• W2188667817 title "Lattice triangulations of E 3 and of the 3-torus" @default.
• W2188667817 cites W1520127302 @default.
• W2188667817 cites W1579596897 @default.
• W2188667817 cites W1582458240 @default.
• W2188667817 cites W1606263708 @default.
• W2188667817 cites W179663824 @default.
• W2188667817 cites W1876028035 @default.
• W2188667817 cites W1977183350 @default.
• W2188667817 cites W1988608700 @default.
• W2188667817 cites W2006637356 @default.
• W2188667817 cites W2008750240 @default.
• W2188667817 cites W2013968381 @default.
• W2188667817 cites W2015129501 @default.
• W2188667817 cites W2015580092 @default.
• W2188667817 cites W2016259913 @default.
• W2188667817 cites W2018825389 @default.
• W2188667817 cites W2022127071 @default.
• W2188667817 cites W2027834544 @default.
• W2188667817 cites W2029377932 @default.
• W2188667817 cites W2035534836 @default.
• W2188667817 cites W2035604574 @default.
• W2188667817 cites W2051005292 @default.
• W2188667817 cites W206167714 @default.
• W2188667817 cites W2062697604 @default.
• W2188667817 cites W2063481695 @default.
• W2188667817 cites W2065928528 @default.
• W2188667817 cites W2072505366 @default.
• W2188667817 cites W2083472708 @default.
• W2188667817 cites W2086930813 @default.
• W2188667817 cites W2089572122 @default.
• W2188667817 cites W2107796785 @default.
• W2188667817 cites W2486409092 @default.
• W2188667817 cites W2962761241 @default.
• W2188667817 cites W51037165 @default.
• W2188667817 hasPublicationYear "2009" @default.
• W2188667817 type Work @default.
• W2188667817 sameAs 2188667817 @default.
• W2188667817 citedByCount "1" @default.
• W2188667817 countsByYear W21886678172015 @default.
• W2188667817 crossrefType "journal-article" @default.
• W2188667817 hasAuthorship W2188667817A5062844162 @default.
• W2188667817 hasConcept C105239961 @default.
• W2188667817 hasConcept C114614502 @default.
• W2188667817 hasConcept C121332964 @default.
• W2188667817 hasConcept C129782007 @default.
• W2188667817 hasConcept C132525143 @default.
• W2188667817 hasConcept C145691206 @default.
• W2188667817 hasConcept C199422724 @default.
• W2188667817 hasConcept C24890656 @default.
• W2188667817 hasConcept C2524010 @default.
• W2188667817 hasConcept C2781204021 @default.
• W2188667817 hasConcept C33923547 @default.
• W2188667817 hasConcept C54829058 @default.
• W2188667817 hasConcept C68010082 @default.
• W2188667817 hasConcept C80899671 @default.
• W2188667817 hasConcept C9767117 @default.
• W2188667817 hasConceptScore W2188667817C105239961 @default.
• W2188667817 hasConceptScore W2188667817C114614502 @default.
• W2188667817 hasConceptScore W2188667817C121332964 @default.
• W2188667817 hasConceptScore W2188667817C129782007 @default.
• W2188667817 hasConceptScore W2188667817C132525143 @default.
• W2188667817 hasConceptScore W2188667817C145691206 @default.
• W2188667817 hasConceptScore W2188667817C199422724 @default.
• W2188667817 hasConceptScore W2188667817C24890656 @default.
• W2188667817 hasConceptScore W2188667817C2524010 @default.
• W2188667817 hasConceptScore W2188667817C2781204021 @default.
• W2188667817 hasConceptScore W2188667817C33923547 @default.
• W2188667817 hasConceptScore W2188667817C54829058 @default.
• W2188667817 hasConceptScore W2188667817C68010082 @default.
• W2188667817 hasConceptScore W2188667817C80899671 @default.
• W2188667817 hasConceptScore W2188667817C9767117 @default.
• W2188667817 hasLocation W21886678171 @default.
• W2188667817 hasOpenAccess W2188667817 @default.
• W2188667817 hasPrimaryLocation W21886678171 @default.
• W2188667817 hasRelatedWork W1622474467 @default.
• W2188667817 hasRelatedWork W1624491130 @default.
• W2188667817 hasRelatedWork W1972006430 @default.
• W2188667817 hasRelatedWork W1977413884 @default.
• W2188667817 hasRelatedWork W1992051521 @default.
• W2188667817 hasRelatedWork W2025489343 @default.
• W2188667817 hasRelatedWork W2029377932 @default.
• W2188667817 hasRelatedWork W2081151465 @default.
• W2188667817 hasRelatedWork W2101592675 @default.
• W2188667817 hasRelatedWork W2166171115 @default.
• W2188667817 hasRelatedWork W2220704490 @default.
• W2188667817 hasRelatedWork W2400828308 @default.
• W2188667817 hasRelatedWork W2737769207 @default.
• W2188667817 hasRelatedWork W2753535706 @default.
• W2188667817 hasRelatedWork W2782790624 @default.
• W2188667817 hasRelatedWork W2950834698 @default.
• W2188667817 hasRelatedWork W2951530370 @default.
• W2188667817 hasRelatedWork W2953381235 @default.
• W2188667817 hasRelatedWork W3032809983 @default.
• W2188667817 hasRelatedWork W2187136495 @default.
• W2188667817 isParatext "false" @default.

• next