Construction (InstanceClass, 2)

From Hi.gher. Space

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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.
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<[#ontology [kind topic] [cats Concept]]>
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'''Construction''' is the process of taking one or more ''base'' [[shape]]s and performing some operation to produce a new shape. Well-known operations include:
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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.
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*[[extrusion]] (making a [[prism]])
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*[[tapering]] (making a [[pyramid]])
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== Types of formable shapes ==
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*[[lathing]] (making a surface of revolution)
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=== Prism ===
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*[[spheration]] (making a [[torus]])
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:A ''prism'' is a [[shape]] formed by [[extruding]] a base shape.
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*the [[brick product]] (which can make [[powertope]]s and [[bracketopic product]]s)
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:An [[antiprism]] is formed by connecting a base shape to its [[dual]].
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*various forms of [[truncation]]
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=== Pyramid ===
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*[[alteration]] (which can make [[snub]]s)
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:A ''pyramid'' is a shape formed by [[tapering]] a base shape.
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=== Surface of revolution ===
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:A ''surface of revolution'' is a shape formed by [[lathing]] a base shape.
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[[Category:Geometric properties]]
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[[Category:Formable shapes| ]]
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Revision as of 15:28, 11 March 2011

Construction is the process of taking one or more base shapes and performing some operation to produce a new shape. Well-known operations include:

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