About: There Is No Face-to-Face Partition of R5 into Acute Simplices     Goto   Sponge   NotDistinct   Permalink

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Description
  • Je dokázáno, že bod v euklidovském prostoru R5 nemůže být obklopen ostroúhlými simplexy. Tato skutečnost implikuje, že neexistuje konformní dělění R5 na ostroúhlé simplexy. Neexistence ostroúhlých dělení Rd pro d > 5 je dokázána indukcí. (cs)
  • We prove that a point in the Euclidean space R5 cannot be surrounded by a finite number of acute simplices. This fact implies that there does not exist a face-to-face partition of R5 into acute simplices. The existence of an acute simplicial partition of Rd for d > 5 is excluded by induction, but for d = 4 this is an open problem.
  • We prove that a point in the Euclidean space R5 cannot be surrounded by a finite number of acute simplices. This fact implies that there does not exist a face-to-face partition of R5 into acute simplices. The existence of an acute simplicial partition of Rd for d > 5 is excluded by induction, but for d = 4 this is an open problem. (en)
Title
  • There Is No Face-to-Face Partition of R5 into Acute Simplices
  • Neexistuje komformní dělení R5 na ostroúhlé simplexy (cs)
  • There Is No Face-to-Face Partition of R5 into Acute Simplices (en)
skos:prefLabel
  • There Is No Face-to-Face Partition of R5 into Acute Simplices
  • Neexistuje komformní dělení R5 na ostroúhlé simplexy (cs)
  • There Is No Face-to-Face Partition of R5 into Acute Simplices (en)
skos:notation
  • RIV/67985840:_____/06:00041092!RIV07-AV0-67985840
http://linked.open.../vavai/riv/strany
  • 381;390
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(IAA1019201), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika
  • -
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 503719
http://linked.open...ai/riv/idVysledku
  • RIV/67985840:_____/06:00041092
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • polytop; dihedral angle; Euler-Poincaré theorem (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [D94BE1620D20]
http://linked.open...i/riv/nazevZdroje
  • Discrete & Computational Geometry
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 36
http://linked.open...iv/tvurceVysledku
  • Křížek, Michal
http://linked.open...n/vavai/riv/zamer
issn
  • 0179-5376
number of pages
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