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rdf:type
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Description
| - Triangulations of the cube into a minimal number of simplices without additional vertices have been studied by several authors over the past decades. For 3n7 this so-called simplexity of the unit cube In is now known to be 5,16,67,308,1493, respectively. In this paper, we study triangulations of In with simplices that only have nonobtuse dihedral angles. A trivial example is the standard triangulation into n! simplices. In this paper we show that, surprisingly, for each n3 there is essentially only one other nonobtuse triangulation of In, and give its explicit construction. The number of nonobtuse simplices in this triangulation is equal to the smallest integer larger than n!(e-2).
- Triangulations of the cube into a minimal number of simplices without additional vertices have been studied by several authors over the past decades. For 3n7 this so-called simplexity of the unit cube In is now known to be 5,16,67,308,1493, respectively. In this paper, we study triangulations of In with simplices that only have nonobtuse dihedral angles. A trivial example is the standard triangulation into n! simplices. In this paper we show that, surprisingly, for each n3 there is essentially only one other nonobtuse triangulation of In, and give its explicit construction. The number of nonobtuse simplices in this triangulation is equal to the smallest integer larger than n!(e-2). (en)
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Title
| - There are only two nonobtuse binary triangulations of the unit n-cube
- There are only two nonobtuse binary triangulations of the unit n-cube (en)
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skos:prefLabel
| - There are only two nonobtuse binary triangulations of the unit n-cube
- There are only two nonobtuse binary triangulations of the unit n-cube (en)
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skos:notation
| - RIV/67985840:_____/13:00387003!RIV13-AV0-67985840
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/67985840:_____/13:00387003
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - triangulation; simplexity; nonobtuse simplex (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
| - Computational Geometry-Theory and Applications
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Brandts, J.
- Křížek, Michal
- Dijkhuis, S.
- de Haan, V.
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http://linked.open...ain/vavai/riv/wos
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issn
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number of pages
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http://bibframe.org/vocab/doi
| - 10.1016/j.comgeo.2012.09.005
|