The Cartesian Product produces alternatives by taking every combination of input parameters from two or more alternatives. It grows explosively (with n alternatives and k parameters, it produces nk+1 alternatives if all parameter values are distinct for each alternative. The +1 in k + 1 indicates that the product applies each combination to the model of each alternative. If the models are the same, the Cartesian Product produces nk alternatives. We limit the size of the product by restricting both n and k. For instance, limiting n to 2 and k to 4 produces 32 alternatives. The Cartesian Product tends to produce converging designs that do not radically differ from their arguments.
The Cartesian Product produces alternatives by taking all combinations of a set of input parameters from two or more alternatives. It produces a complete graph between each adjacent pair of parallel coordinates. The figure shows the state of the interface with two alternatives selected for the Cartesian Product, with four coordinates selected for the product and the results (in another collection) with the two original alternatives selected.