Simplices with equiareal faces
Metric Geometry
2009-09-11 v1
Abstract
We study simplices with equiareal faces in the Euclidean 3-space by means of elementary geometry. We present an unexpectedly simple proof of the fact that, if such a simplex is non-degenerate, than every two of its faces are congruent. We show also that this statement is wrong for degenerate simplices and find all degenerate simplices with equiareal faces.
Keywords
Cite
@article{arxiv.0909.1859,
title = {Simplices with equiareal faces},
author = {Victor Alexandrov and Nadezhda Alexandrova and Gunter Weiss},
journal= {arXiv preprint arXiv:0909.1859},
year = {2009}
}
Comments
6 pages, 2 figures