Multipyramid (EntityClass, 5)

From Hi.gher. Space

Revision as of 19:12, 20 June 2007 by Keiji (Talk | contribs)

A multipyramid is the generalization of the pyramid, dipyramid, tripyramid &c.

A pyramid is the shape formed from a base shape by tapering it to a point in a new dimension. Notice however that by forming a pyramid from a pyramid, the shape formed is symmetrical in the way that the two new dimensions cannot be told apart: the order does not matter. For this reason, the shape formed by forming a pyramid from a pyramid is called a dipyramid, and the shape formed by forming a pyramid from a dipyramid is called a tripyramid, and so on.

Thus, a k-multipyramid is the shape formed by tapering a base shape to a point in a new dimension k times.