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The generalization of a Voronoi polygon to n dimensions for n>2.

The geometric centroid of a quadrilateral lamina is the center of its Wittenbauer's parallelogram.

A method of constructing uniform polyhedra.

Any sum of a selection of Pi_ks, where Pi_k denotes a k-D polytope.

A k-chain whose bounding (k-1)-chain vanishes.

The point at which a curve or function crosses the x-axis (i.e., when y=0 in two dimensions).

The point at which a curve or function crosses the y-axis (i.e., when x=0 in two dimensions).

The axis in three-dimensional Cartesian coordinates which is usually oriented vertically. Cylindrical coordinates are defined such that the z-axis is the axis about which the ...

The 11-cell is a regular 4-dimensional structure that cannot be represented in 3-dimensional space in any reasonable way and is highly self-intersecting even in 4-dimensional ...

The 57-cell, also called the pentacontaheptachoron, is a regular self-dual locally projective polytope with 57 hemidodecahedral facets described by Coxeter (1982) and also ...