Multipyramid (EntityClass, 5)
From Hi.gher. Space
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| - | A '''multipyramid''' is the generalization of the [[ | + | A '''multipyramid''' is the generalization of the [[pyramid]], ''dipyramid'', ''tripyramid'' [[&c]]. |
| - | A | + | 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. | Thus, a ''k''-multipyramid is the shape formed by tapering a base shape to a point in a new dimension ''k'' times. | ||
[[Category:Formable shapes]] | [[Category:Formable shapes]] | ||
Revision as of 19:12, 20 June 2007
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.
