Problem: In some cases, the change in a given parameter of a function is best to be illustrated on a moving (animated) figure.
Solution: In the open source SMath software, it is possible to create a dynamically changing function using the time (t) parameter and then save it in animated GIF format.
Theoretical background: When defining functions, it is possible to specify them in parametric form, the function variables can also be expressed with parameters of our choice. In this example, the x and y coordinates of the spiral curve must be written using the parameter t.
The animation can be created by referring to the tau parameter. The animation speed (frame rate) can also be set here. The chart is possible to be exported in animated GIF format.
