Construction (InstanceClass, 2)
From Hi.gher. Space
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For example: a [[hyperpyramid]] is a shape formable from a base shape and a point parameter; a [[hyperprism]] is a shape formable from a base shape and a length parameter, and a [[hypersurface of revolution]] is a shape formable from a base shape and no parameter. | For example: a [[hyperpyramid]] is a shape formable from a base shape and a point parameter; a [[hyperprism]] is a shape formable from a base shape and a length parameter, and a [[hypersurface of revolution]] is a shape formable from a base shape and no parameter. | ||
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| + | == Types of formable shapes == | ||
| + | === Prism === | ||
| + | :A ''prism'' is a [[shape]] formed by [[extruding]] a base shape. | ||
| + | :An [[antiprism]] is formed by connecting a base shape to its [[dual]]. | ||
| + | === Pyramid === | ||
| + | :A ''pyramid'' is a shape formed by [[tapering]] a base shape. | ||
| + | === Surface of revolution === | ||
| + | :A ''surface of revolution'' is a shape formed by [[lathing]] a base shape. | ||
[[Category:Geometric properties]] | [[Category:Geometric properties]] | ||
| - | [[Category:Formable shapes| | + | [[Category:Formable shapes| ]] |
Revision as of 20:42, 4 December 2010
A formable shape is one defined as some function of a base shape. Formable shapes may or may not also involve parameters, but all require a base.
For example: a hyperpyramid is a shape formable from a base shape and a point parameter; a hyperprism is a shape formable from a base shape and a length parameter, and a hypersurface of revolution is a shape formable from a base shape and no parameter.
Types of formable shapes
Prism
- A prism is a shape formed by extruding a base shape.
- An antiprism is formed by connecting a base shape to its dual.
Pyramid
- A pyramid is a shape formed by tapering a base shape.
Surface of revolution
- A surface of revolution is a shape formed by lathing a base shape.
