Cartesian product (InstanceTopic, 3)

From Higher Dimensions Database

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.

The Cartesian product can also be referred to as the square product. It is one of the three bracketopic products and has the function MAX. It is also the square brick product.