Mutually Equidistant Spheres that Intersect
Metric Geometry
2013-01-24 v1 Classical Analysis and ODEs
Differential Geometry
Abstract
The setting for this brief paper is R^3. Distance between two spheres is understood as distance delta between spherical centers. For instance, a Reuleaux tetrahedron T is the intersection of four unit balls satisfying delta=1 pairwise. Volume and surface area of T are already well-known; our humble contribution is to calculate the mean width of T.
Cite
@article{arxiv.1301.5515,
title = {Mutually Equidistant Spheres that Intersect},
author = {Steven R. Finch},
journal= {arXiv preprint arXiv:1301.5515},
year = {2013}
}
Comments
11 pages