On the Grace-Danielsson inequality for tetrahedra
Metric Geometry
2018-05-23 v1
Abstract
The difference between the (squared) sides of the Grace-Danielsson inequality for tetrahedra will be represented as a sum of two nonnegative terms. This gives another proof of the inequality. Examining the denominator allows us to characterize the infinite triangular prism as a degenerate tetrahedron. We give conditions for equality (for a zero gap) as well, and some examples are included.
Keywords
Cite
@article{arxiv.1805.08435,
title = {On the Grace-Danielsson inequality for tetrahedra},
author = {László Lajos},
journal= {arXiv preprint arXiv:1805.08435},
year = {2018}
}
Comments
12 pages, 2 figures