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Mandelbrot Set

Elephant Walk (Wide)

Elephant Walk (Wide)

This memerizing fractal image, titled "Elephant Walk," emerges from the main cardioid of Mandelbrot set, showcasing a vibrant and intricate pattern. The dominant feature is a series of undulating, heart-shaped forms in a rich red, reminiscent of a line of elephants. These "elephants" appear to be walking slowly across the frame, their forms connected and extending into the distance.


Each "elephant" is adorned with a complex, spiraling structure that unfurls with an astonishing levelof detail. Bright green and yellow hues dominate thse intricate spirals, creating a vivid contrast against the red. Within thse spirals, countless smaller, identical patterns can be discerned, a hallmark of fractal geometry. The base of these forms is anchored by a black abyss, from which delicate, tree-like structures in shades of green and yellow sprout, adding to the organic feel of the image.


The visual rhythm suggests a journey, as if one is counting each stem from 1 to infinity, slowly traversing the boundless complexity of the fractal landscape. The overall impression in one of both meticulous order and infinite variation, a captivating glimpse into the mathematical beauty of the Madelbrot set.

IMG_0058

IMG_0058

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52762592542_f68af2b7cf_o

Dragon Spiral with Orbit Trap Lines

Dragon Spiral with Orbit Trap Lines

A beautiful render of the Mandelbrot "dragon spiral", rendered using the Orbit Trap algorithm, which creates and overlays the glowing white lines on top of the normal color mapped fractal image.


Created using Fragmentarium, an IDE that makes it easy (well, easier) to explore fractal and generative systems written in GLSL shader language.


See: syntopia.github.com/Fragmentarium/index.html

Filigree

Filigree

IMG_2341

IMG_2341

IMG_0057

IMG_0057

Large Spiral

Large Spiral

Dragon Spiral Center with Orbit Trap Lines

Dragon Spiral Center with Orbit Trap Lines

The image is a 2D projection of a conceptual 3D torus, or perhaps a complex radial structure. Its primary visual characteristics are defined by a sense of motion, transition, and radThis is an amazing 60 Mega Pixel fractal image created with Fragmentarium, which uses the computer video card (GPU) to instantaneously render these images. This means that you can fly through the fractal space in real time and make adjustments to color and rendering detail immediately.

Quite a change from the days when an image like this would have taken minutes (or even hours) to appear on the screen.


Fragmentarium can be downloaded from: syntopia.github.com/Fragmentarium/index.htm

Filigree

Filigree

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