Fractals/Mathematics/rotating
< Fractals
Rotation map defines dynamical systems on the circle ( maps of the circle to itself = self-maps on the circle). The theory describing it is called Rotation Theory[1]
"If a is rational, then every point is periodic. If a is irrational, then every point has a dense orbit." David Richeson[2]
rational
editRotation map describes counterclockwise rotation of point thru turns on the unit circle:
It is used for computing: