Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article

Journal for Geometry and Graphics 26 (2022), No. 1, 029--038
Copyright Heldermann Verlag 2022

How to Decide Whether Two Convex Octahedra are Affinely Equivalent Using Their Natural Developments Only

Victor Alexandrov
Sobolev Institute of Mathematics, Novosibirsk, Russia
and: Novosibirsk State University, Novosibirsk, Russia

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.

Keywords: Affine transformation, octahedron, natural development, Cayley–Menger determinant, spatial shape of a polyhedron.

MSC: 52C25; 52B10, 68U05.

[ Fulltext-pdf  (330  KB)]