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The boundaries of the cells of a Voronoi diagram.

The fraction eta of a volume filled by a given collection of solids.

Given a regular pentagon of unit area, mean triangle area of a triangle picked at random inside it is given by the n=5 case of polygon triangle picking, A^_ = ...

The breaking up of self-intersecting polygons into simple polygons (illustrated above) is also called tessellation (Woo et al. 1999).

Tetrahedron picking is the process of picking tetrahedra at random within a given shape in 3 or higher dimensions. The most natural definition of a random tetrahedron is one ...

Given a regular tetrahedron of unit volume, the mean triangle area of a triangle picked at random inside it is approximately A=0.1811+/-0.0012, and the variance is ...

Maximize the amount of floor space which can be covered with a fixed tile (Hoffman 1998, p. 173).

A parallelogram (parallelepiped) containing the minimum repeatable elements of a circle (sphere) packing.

An abstract machine that is implemented in software is termed a virtual machine.

A box can be packed with a harmonic brick a×ab×abc iff the box has dimensions ap×abq×abcr for some natural numbers p, q, r (i.e., the box is a multiple of the brick).