The Hutchinson operator of an iterated function system corresponds to one of these, while the escape-time ones are defined by a recurrence relation at each point in space.
The Hutchinson operator of an iterated function system corresponds to one of these, while the escape-time ones are defined by a recurrence relation at each point in space. One of these is a curve whose range contains the entire unit square and is called the Peano curve, while another one is created by repeatedly deleting the middle thirds of an interval and is called the Cantor set. All of them are self-similar, and they are quantified by Hausdorff dimensions. For 10 points, name these geometrical objects that can be split into parts that are reduced-size copies of the whole, a famous example of which is the Mandelbrot set.
The Hutchinson operator of an iterated function system corresponds to one of these, while the escape-time ones are defined by a recurrence relation at each point in space.
{fractal}s