Duality of isosceles tetrahedra

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00508906" target="_blank" >RIV/67985840:_____/19:00508906 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00022-019-0506-y" target="_blank" >http://dx.doi.org/10.1007/s00022-019-0506-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00022-019-0506-y" target="_blank" >10.1007/s00022-019-0506-y</a>

Result language
angličtina
Original language name
Duality of isosceles tetrahedra
Original language description
In this paper we define a so-called dual simplex of an n-simplex and prove that the dual of each simplex contains its circumcenter, which means that it is well-centered. For triangles and tetrahedra S we investigate when the dual of S, or the dual of the dual of S, is similar to S, respectively. This investigation encompasses the study of the iterative application of taking the dual. For triangles, this iteration converges to an equilateral triangle for any starting triangle. For tetrahedra we study the limit points of period two, which are known as isosceles or equifacetal tetrahedra.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA18-09628S" target="_blank" >GA18-09628S: Advanced flow-field analysis</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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