• April 19, 2021, 09:05:39 PM

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pauldelbrot


  Gallery Name Total Images
Minibrots
112
Spirals
Spirals found in the Mandelbrot set.
111
Seahorses (and similar shapes)
92
Spacefilling
These images are not of the classic Mandelbrot, but of various rational functions where the Julia set can be the whole Riemann sphere. With the right coloring, typically weighted-sums-over-the-orbit-based methods, structures of classic Julia fractals can be made visible in these, but they fill all of space without any empty escaping areas or solid convergent-to-one-attractor ones. Parameter space images are of regions where for most parameter values there are no attractors, and exhibit the same forms, except with dendrites and minibrots. The minibrots produce solid areas of interior, but again there are no smooth regions of escaping points. Detail fills all of the Julia images' frames, and all of the Mandelbrot images outside of the minibrots' perimeters.
109
Embedded Julia Sets
These are found near minibrots.
108
Double Spirals
Spirals that have been doubled up, or sometimes chained together, as a result of the influence of a minibrot. These often have a special sort of beauty.
107
Eightfold
On the way to a deep minibrot there is always a structure with eight-fold symmetry, and these are often quite beautiful.
106
Shorelines
The wilds along the borders of (usually) minibrots.
105
Box and Related
Three dimensional fractals, mostly rendered in MB3D with some Mandelbulber mixed in here and there.
104
Textures
Mandelbrot regions featuring repeating patterns.
98
Fourfold
Fourfold symmetry occurs even more often (especially around deep minibrots) than eightfold symmetry, though it isn't always as attractive.
101
Valleys
Where the seahorses and other spiraly shapes are.
89
Ducks/Kali
2D fractals with |abs| or other folding.
99
Asymmetrical
Mandelbrot Set zooms that are not symmetrical and don't belong to any of the other categories.
98
Twofold
Mandelbrot zooms with two-fold symmetry, but which aren't classified as double spirals or embedded Julias.
97
Other Polynomial and Rational Maps
Meromorphic mappings of a single complex variable, other than z2 + c.
96
Quadratic Julia Sets
The fractals that started it all.
29
Exotica
Not mappings of single variables in the complex plane. Some have multiple real variables, some multiple complex variables, and some might just be uncategorizable.
94
Wheels
Mandelbrot images with a high degree of rotational symmetry, 16 or more, which tend to look circular (and often like spoked wheels) as a result.
93
Archimedean Zooms
A compact way to represent even a lengthy zoom journey in a still image is to use an exponential map, which results in a long and thin image, and then to coil this up like a rope. This involves a geometric shape known as an Archimedean spiral.

These have the end of the zoom, usually a minibrot, in the center of the spiral.

The wealth of detail means all images posted to this category will be (at least) 4K HD.
11


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