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Zapiski Nauchnykh Seminarov POMI, 2019, Volume 478, Pages 194–201 (Mi znsl6750)  
The reconstruction of Platonic solid from its rib

B. B. Lur'e

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
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Abstract: We consider the problem of reconstruction of Platonic solid with integer coordinates of vertices when its edge (or the diagonal of the cube) is given. We find the necessary and sufficient conditions of existence of such polyhedrons as well as the algorithm of construction and the number of solutions.
Key words and phrases: Platonic solid, Euclidian rings.
Received: 01.05.2019
Document Type: Article
UDC: 511.5
Language: Russian
Citation: B. B. Lur'e, “The reconstruction of Platonic solid from its rib”, Problems in the theory of representations of algebras and groups. Part 34, Zap. Nauchn. Sem. POMI, 478, POMI, St. Petersburg, 2019, 194–201
Citation in format AMSBIB
\Bibitem{Lur19}
\by B.~B.~Lur'e
\paper The reconstruction of Platonic solid from its rib
\inbook Problems in the theory of representations of algebras and groups. Part~34
\serial Zap. Nauchn. Sem. POMI
\yr 2019
\vol 478
\pages 194--201
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6750}
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  • https://www.mathnet.ru/eng/znsl/v478/p194
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