Parallelotope
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 aparallelotope. has 
vertices and
s, where 
is a Binomial Coefficient and 
, 1, ..., (Coxeter 1973). These are also thecoefficients of 
.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.
- Pizza Theorem
- Place (Digit)
- Place (Field)
- Place (Game)
- Planar Bubble Problem
- Planar Distance
- Planar Graph
- Planar Point
- Planar Space
- Planar Straight Line Graph
- Plancherel's Theorem
- Planck's Radiation Function
- Plane
- Plane Curve
- Plane Cutting
- Plane Division
- Plane-Filling Curve
- Plane-Filling Function
- Plane Geometry
- Plane Partition
- Plane Symmetry Groups
- Planted Planar Tree
- Plastic Constant
- Plat
- Plateau Curves