MB has Wada?

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Offline E8Guy

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« on: August 14, 2018, 05:45:45 PM »
Does anyone know offhand if the Mandelbrot set has something like this? If I recall, in a certain system with multiple basins of attraction, a neighborhood (arbitrarily small open disc) around a point that goes to one will also contain points that go to the others. I'm thinking of bands of exit speeds (colors) as analogous to a basin. So the question is, pick a point of any (non-black) color, if you take an arbitrarily small neighborhood of points around it, must that neighborhood contain all colors? Sorry if stupid.

Online claude

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« Reply #1 on: August 14, 2018, 07:28:55 PM »
Minibrots are dense in the boundary of the Mandelbrot set, is the closest I can think of.  Misiurewicz points are dense in its boundary too.

Offline E8Guy

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« Reply #2 on: August 14, 2018, 08:34:54 PM »
Good info, will dig thanks