For ten points, identify these generally self-similar, space-filling figures like the Koch Snowflake and Mandelbrot Set.
Misiurewicz points are found on the boundaries of one of these shapes, which is seen after marking all numbers c on the complex plane for which, starting with 0, infinite application of z-squared plus c doesn't diverge. Removing 7/27 ("seven twenty-sevenths") of a cube is the first step of constructing one of these shapes named after Menger. Objects of this type can have non-integer (*) Hausdorff dimension, and one can be found by coloring odd numbers on Pascal's triangle; that one is named for Sierpinski. For ten points, identify these generally self-similar, space-filling figures like the Koch Snowflake and Mandelbrot Set.
Misiurewicz points are found on the boundaries of one of these shapes, which is seen after marking all numbers c on the complex plane for which, starting with 0, infinite application of z-squared plus c doesn't diverge.
{fractal}s