This Julia set has a 25-cycle which is attractive. For this filled Julia Set, we've colored all points in the various basins of attraction according to (N mod 25) where N is the number of iterations the point had to undergo before the computer declared its orbit suffiently close to (a specific point on) the attracting cycle. Therefore all points which were declared close on the, say, 7th, 32nd, 57th, 82nd, 107th, etc member of their respective orbits, all get the same color.
To set off the filled interior of this Julia set, we've purposely left
black all points on the outside; the Julia Set is the boundary between
the colored points and the black area.
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