Banded AgateYMandelbrot Foam
Y
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Description: A Hénon map Julia set with an attracting fixed point (middle of the Y-shaped central region of yellow-browns) and an attracting three-cycle (the darkest spots in the three largest purple areas). Infinity also attracts; its basin is in green. While simple arcs separate sections of the basins of the two finite attractors, the boundary of A(∞) always has ribbons of finite attractor basin crowding close on both sides, so a short cross section through it looks like a Cantor set whereas one through the yellow/purple border is just a point.
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Posted by: pauldelbrot May 17, 2018, 05:01:52 PM

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