In the last week I became interested in the more mathematical approach to parametric surfaces, ie. a surface (or curve) where the points that describe its coordinates can be expressed in functions of a variable.
The simplest parametric equation perhaps is that which forms the circle which comes in the form:
x = cos(t)
y = sin(t)
where this becomes more interesting is when we introduce a z function and we can evaluate t (or some other parameter) within a specified range to produce a surface or something more complex.