From Hi.gher. Space
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| - | '''Convexity''' is a term used to describe [[shape]]s. There are three types of convexity: | + | <[#ontology [kind topic] [cats Property]]> |
| - | | + | '''Convexity''' is a term used to describe [[shape]]s. There are three types of convexity: [[convex]], [[concave]] and [[self-intersecting]]. |
| - | == Convex ==
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| - | If a shape is ''convex'', it has the property that the [[line segment]] joining any two [[vertices]] in the shape is entirely inside or on the boundary of the shape. Convex shapes are also equal to their own [[convex hull]].
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| - | == Concave ==
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| - | If a shape is ''concave'', it is possible to find a line segment joining two vertices in the shape that is partially outside of the shape.
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| - | == Self-intersecting ==
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| - | If a shape is ''self-intersecting'', it has the property that not every [[point]] in it is uniquely representable by its [[Cartesian coordinates]] relative to the shape's [[bounding space]]. There are several [[problems with self-intersecting shapes]]. A self-intersecting shape can however be made concave and appear the same to a hypothetical observer, while remedying these problems.
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| - | [[Category:Geometric properties]]
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Latest revision as of 14:23, 8 February 2014
Convexity is a term used to describe shapes. There are three types of convexity: convex, concave and self-intersecting.
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