Cartesian product (InstanceTopic, 3)

From Hi.gher. Space

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.