Mathematics is concerned with abstract structures. These structures are usually anchored in a written formula. However, behind the formulae, there are often objects, which have a concrete spatial form. A good example for this are the algebraic surfaces. These are notated as polynomes in many different variables and correlate to the points in a given space, at which these polynomes become zero. As such, the following formula for example, correlates to a sphere in a space:
Apart from the fact that algebraic curves and surfaces are of equally fundamental significance in applied as well as in pure mathematics, they often possess great intrinsic aesthetics.
In the animation one can observe a few exemplary algebraic surfaces and change one of the descriptive parameters.