Fractals/Mathematics/rotating

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 TheoryAn Introduction to Rotation Theory by Christian Kuehn "If a is rational, then every point is periodic. If a is irrational, then every point has a dense orbit." David Richesonthree-cool-facts-about-rotations-of-the-circle by David Richeson rational Rotation map describes counterclockwise rotation of point thru turns on the unit circle: It is used for computing: itinerary irrational ROTATE IN A CIRCLE WITH A ROTATION by Sylvie Ruette (in fr.) Wikipedia: Irrational rotation References