Planar Projections and Second Intrinsic Volume

Details Planar Projections and Second Intrinsic Volume Planar Projections and Second Intrinsic Volume

2012-03-12

arxiv.org/abs/1203.2464v1

Mathematics

Metric Geometry

13 pages

Scientific paper

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.

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