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math.MG2012★ 1 cited
Rank-3 Projections of a 4-Cube
Steven R. Finch
The orthogonal projection of a 4-cube onto a uniform random 3-subspace in R^4 is a convex 3-polyhedron P with 14 vertices almost surely. Three numerical characteristics of P -- vol…
math.MG2012★ 1 cited
Planar Projections and Second Intrinsic Volume
Steven R. Finch
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…