Dissection of the path-simplex in Rn into n path-subsimplices

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F07%3A00089347" target="_blank" >RIV/67985840:_____/07:00089347 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Dissection of the path-simplex in Rn into n path-subsimplices
Original language description
We review properties of acute and non-obtuse simplices, and of ortho-simplices and path-simplices. Dissection of path-simplices is considered, which leads to a new result: generalization of Coxeter´s trisection of a path-tetrahedron into three path-subtetrahedra to arbitrary spatial dimension n. Moreover, following earlier results by Korotov and Křížek, we show that applying this procedure recursively in the proper way leads to a self-similar path-simplicial refinement towards a chosen vertex of the original path-simplex.
Czech name
Dělení pravoúhlého simplexu v R n na n pravoúhlých podsimplexů
Czech description
V článku je navržen algoritmus, jak rozdělit pravoúhlý simplex v Rn na n menších pravoúhlých simplexů

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2007
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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