Sciact
  • EN
  • RU

How to decide whether two convex octahedra are affinely equivalent using their natural developments only Full article

Journal Journal for Geometry and Graphics
ISSN: 1433-8157
Output data Year: 2022, Volume: 26, Number: 1, Pages: 29-38 Pages count : 10
Tags affine transformation, octahedron, natural development, Cayley-Menger determinant, spatial shape of a polyhedron
Authors Alexandrov Victor 1,2
Affiliations
1 Sobolev Institute of Mathematics, Novosibirsk, Russia
2 Novosibirsk State University, Novosibirsk, Russia

Funding (1)

1 Sobolev Institute of Mathematics FWNF-2022-0006

Abstract: Given two convex octahedra in Euclidean 3-space, we find conditions on their natural developments which are necessary and sufficient for these octahedra to be affinely equivalent to each other.
Cite: Alexandrov V.
How to decide whether two convex octahedra are affinely equivalent using their natural developments only
Journal for Geometry and Graphics. 2022. V.26. N1. P.29-38. WOS Scopus
Dates:
Submitted: Mar 11, 2022
Identifiers:
Web of science: WOS:000840971400007
Scopus: 2-s2.0-85143685684
Citing:
DB Citing
Scopus 2
Web of science 2