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Author Topic:  Quadratic Julia sets  (Read 2406 times)

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Offline pauldelbrot

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Re: Quadratic Julia sets
« Reply #30 on: January 09, 2021, 03:24:03 PM »
Tadpoles

Disconnected Julia from off-center in elephant valley.

Offline pauldelbrot

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Re: Quadratic Julia sets
« Reply #31 on: January 20, 2021, 03:06:34 PM »
Coalweed

A Julia set from inside a minibrot in a dendrite off a period-10 bulb above seahorse valley. The point is in the minibrot's cardioid near its own seahorse valley.

Offline pauldelbrot

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Re: Quadratic Julia sets
« Reply #32 on: February 02, 2021, 12:47:34 AM »
Siegel (3,4,5) 03

Offline pauldelbrot

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Re: Quadratic Julia sets
« Reply #33 on: February 14, 2021, 09:24:25 PM »
Inky Dragon

Julia set for a point in the cardioid close to the wall of seahorse valley.

Offline pauldelbrot

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Re: Quadratic Julia sets
« Reply #34 on: February 26, 2021, 06:44:26 PM »
Patchwork Rabbit

The "rabbit" Julia fractal (in the top bulb near its attachment point), with the exterior colored by smoothed iterations and the three basin phases separately colored, one by smoothed iterations, one by internal angle, and one by the minimum distance of any other orbit point to the initial (image-pixel) point.


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Union of disconnected quadratic Julia sets

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quadratic mandelbrot burning ship hybrid 1

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Parabolic Julia sets

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Embedded Julia sets

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Sectionally defined Julia sets

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