Volume of 4-polytopes from bivectors
General Relativity and Quantum Cosmology
2018-08-31 v1 Mathematical Physics
math.MP
Abstract
In this article we prove a formula for the volume of 4-dimensional polytopes, in terms of their face bivectors, and the crossings within their boundary graph. This proves that the volume is an invariant of bivector-coloured graphs in .
Cite
@article{arxiv.1808.09971,
title = {Volume of 4-polytopes from bivectors},
author = {Benjamin Bahr},
journal= {arXiv preprint arXiv:1808.09971},
year = {2018}
}
Comments
19 pages, 13 figures