SatinThe Dau and the Y of ItFrozen Coal
The Dau and the Y of It
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Description: A Hénon map Julia rendering. The green region goes to an attracting fixed point at infinity. The violet regions, including the prominent one shaped like a lowercase letter "y", go to a 2-cycle whose member points are in the two largest purple regions ("Dau" is Welsh for "two"). Finally, points in the yellow region converge to a strange attractor that is in many small segments, the dark brownish arcs inside some of the larger yellow areas. The strange attractor has a hybrid behavior: the fragments can be mapped onto one another via diffeomorphisms, and every iteration sends a point in one of the fragments to a point in another fragment in such a way that the fragments are cycled through like the points of a plain finite cyclic attractor, and the point moves about on the common shape of all of the fragments in the ergodic manner of a point on the Hénon attractor.
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Posted by: pauldelbrot September 10, 2018, 07:24:33 AM

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