Removing 7/27 ("seven twenty-sevenths") of a cube is the first step of constructing one of these shapes named after Menger.
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