On the regular star equidistant polytopes in hyperbolic space
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2023-06-16 17:35
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DAMIAN, Florin, MAKAROV, Piotr. On the regular star equidistant polytopes in hyperbolic space. In: Mathematics and Information Technologies: Research and Education, Ed. 2021, 1-3 iulie 2021, Chişinău. Chișinău, Republica Moldova: 2021, p. 28.
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Mathematics and Information Technologies: Research and Education 2021
Conferința "Mathematics and Information Technologies: Research and Education"
2021, Chişinău, Moldova, 1-3 iulie 2021

On the regular star equidistant polytopes in hyperbolic space


Pag. 28-28

Damian Florin1, Makarov Piotr2
 
1 Vladimir Andrunachievici Institute of Mathematics and Computer Science,
2 Moscow State Mining University
 
 
Disponibil în IBN: 30 iunie 2021


Rezumat

We have shown that a regular equidistant polytope of type {2m+1, 3} always can be “stellated” using method proposed by Coxeter. Obviously, the factorization in the base plane of equidistant polytope can transform the star regular unbounded polytopes into regular bounded star equidistant polytopes. We will discuss one of the most simple and interesting cases on the Klein surface of genus 3 with the regular map {7, 3}.