Which command is typically used to create geometric entities that follow a defined mathematical rule?

The command that is typically used to create geometric entities following a defined mathematical rule is the Parametric Curve. Parametric curves are defined by mathematical equations that specify the coordinates of the points on the curve as functions of one or more parameters. This approach allows for greater control over the shape and behavior of the curve as it can be altered by adjusting the parameters used in the equations. As changes are made to these parameters, the curve adjusts automatically, making it very effective for designing complex paths and shapes based on specific mathematical rules.

This capability is particularly useful in design settings where precise control over the geometric configuration is necessary, enabling users to create intricate shapes that can adapt dynamically. In contrast, other options like Rule-Based Sketch might also allow for some level of control, but they typically do not provide the same depth of mathematical definition and adaptability as parametric curves.