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Dimensionality
Product Maker allows you to create an equation that generates and displays model products in any spatial dimension using a calculator-like interface. These new products can range from a simple grid point value to a three-dimensional cube.
The four independent variables (x, y, z, and t) together with the model source can be used in an unlimited number of combinations to create model products. By selecting the x, y, z, or t dimensions, you can determine the dimensionality of each term of your equation. The independent variables are separated by commas in the registers in the Stack portion of the Product Maker. For example, if you select values for all of the independent variables, the resulting product is a point with no dimension.
If you select three out of four independent variables, the new product is a one-dimensional line. Table 3.2.6-1 summarizes the dimensionality and number of blank variables for points, lines, planes, and cubes.
| Table 3.2.6-1. Dimensionality of Products for the Product Maker | ||
|---|---|---|
| Product Description | Dimensionality | Number of Blank Variables in Mathematical Term |
| Point | 0 | 0 |
| Line | 1 | 1 |
| Plane | 2 | 2 |
| Cube | 3 | 3 |
Reverse Polish Notation
The order in which you specify terms for an equation in the Product Maker is called Reverse Polish Notation (RPN). In essence, RPN requires that you enter each term of an equation in reverse order (the last term is first), and then perform the mathematical operation. Using RPN takes practice.