Move a point along a Line for an initial point to a final point. It traces out a Line Segment .
When is translated from an initial position to a final position, it traces out a Parallelogram . When
is translated, it traces out a Parallelepiped . The generalization of to -D is then called a
parallelotope. has vertices and
See also Honeycomb, Hypercube, Orthotope, Parallelohedron
References
Coxeter, H. S. M. Regular Polytopes, 3rd ed. New York: Dover, pp. 122-123, 1973.
Klee, V. and Wagon, S. Old and New Unsolved Problems in Plane Geometry and Number Theory.
Washington, DC: Math. Assoc. Amer., 1991.
Zaks, J. ``Neighborly Families of Congruent Convex Polytopes.'' Amer. Math. Monthly 94, 151-155, 1987.