Cartesian product (InstanceTopic, 3)
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For example, the Cartesian product of a [[Line (object)|line]] and a [[square]] is a [[cube]] and the Cartesian product of two [[circle]]s is a [[duocylinder]]. | For example, the Cartesian product of a [[Line (object)|line]] and a [[square]] is a [[cube]] and the Cartesian product of two [[circle]]s is a [[duocylinder]]. | ||
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Revision as of 22:24, 16 June 2007
The Cartesian product of two shapes x and y, with n and m dimensions respectively, is the shape defined by the set of all points whose first n co-ordinates are the co-ordinates of a point in shape x and last m co-ordinates are the co-ordinates of a point in shape y. The resulting shape has dimension n+m.
For example, the Cartesian product of a line and a square is a cube and the Cartesian product of two circles is a duocylinder.
