WOLFRAM|DEMONSTRATIONS PROJECT

Generalized Waterman Polyhedra

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lattice
body-centered cubic
face-centered cubic
simple cubic
radius around center
42
center
display
convex hull
lines
spheres
The Waterman polyhedra display the convex hull of the lattice points within radius
r
of a given center. This Demonstration offers three lattices (body-centered cubic, face-centered cubic, simple cubic) and a variety of possible centers, with the origin as the default.
As the radius increases, data from the center is removed to preserve viewing quality.