Multipyramid (EntityClass, 5)

From Hi.gher. Space

A multipyramid is the generalization of the hyperpyramid, hyperdipyramid, hypertripyramid &c.

A hyperpyramid is the shape formed from a base shape by tapering it to a point in a new dimension. Notice however that by forming a hyperpyramid from a hyperpyramid, 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 hyperpyramid from a hyperpyramid is called a hyperdipyramid, and the shape formed by forming a hyperpyramid from a hyperdipyramid is called a hypertripyramid, 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.