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Mathematical notes of NEFU, 2017, Volume 24, Issue 3, Pages 3–11 (Mi svfu186)  

Mathematics

On the basics of common theory for coordination polyhedron composition (polyhedron fundamental equations)

I. M. Petrushko

National Research University "Moscow Power Engineering Institute", 14 Krasnokazarmennaya Street, Moscow 111250, Russia

Abstract: We study the features of the polyhedron geometric structure related to their belonging to different symmetry groups. We derive basic equations for the vertices, faces, and edges of the polyhedron depending on their location on the axial, planar, and primitive orbits.

Keywords: polyhedron, coordination polyhedron, fundamental cells, symmetry axes, symmetry planes, equations.

DOI: https://doi.org/10.25587/SVFU.2018.3.10885

Full text: PDF file (159 kB)
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UDC: 514.87+539.194
Received: 20.07.2017

Citation: I. M. Petrushko, “On the basics of common theory for coordination polyhedron composition (polyhedron fundamental equations)”, Mathematical notes of NEFU, 24:3 (2017), 3–11

Citation in format AMSBIB
\Bibitem{Pet17}
\by I.~M.~Petrushko
\paper On the basics of common theory for coordination polyhedron composition (polyhedron fundamental equations)
\jour Mathematical notes of NEFU
\yr 2017
\vol 24
\issue 3
\pages 3--11
\mathnet{http://mi.mathnet.ru/svfu186}
\crossref{https://doi.org/10.25587/SVFU.2018.3.10885}
\elib{https://elibrary.ru/item.asp?id=32651431}


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