Planar Projections and Second Intrinsic Volume
Metric Geometry
2012-03-13 v1 Classical Analysis and ODEs
Probability
Abstract
Consider random shadows of a cube and of a regular tetrahedron. Area and perimeter of the former are positively dependent (with correlation 0.915...), whereas area and perimeter of the latter appear to be negatively dependent. This is only one result of many, all involving generalizations of mean width.
Cite
@article{arxiv.1203.2464,
title = {Planar Projections and Second Intrinsic Volume},
author = {Steven R. Finch},
journal= {arXiv preprint arXiv:1203.2464},
year = {2012}
}
Comments
13 pages