A
journey down thru a Mandelbrot fractal set
as far as the calculations permit.
Benoit
Mandelbrot made his great discoveries by defying
establishment, academic mathematics. The geometry of the fourth dimension
- fractal geometry - was created almost singlehandedly
by Mandelbrot. It is now recognized as the true Geometry
of Nature. Mandelbrot's fractal geometry replaces Euclidian
geometry which had dominated our mathematical thinking for thousands of
years.
--fractalwisdom.com
Fractal 2
Basic
Style
A
vast desert with a rich blue shoreline along
a black sea.
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Fractal 3
Basic
Style
A
closer view of a river delta.
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Fractal 4
Mosaic
Style
The
desert shoreline covered with mosaic tiles.
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Fractal 5
Cilia
Bevel
Style
The
shoreline in red-orange cilia strands.
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Fractal 6
Thread
Style
Closer
still on the river with the land now gold &
threads.
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Fractal 7
Basic
Style
The
riverbank changes from gold to burnt orange...
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Fractal 8
Basic
Style
...
to yellow and grey.
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Fractal 9
Ribbon
Style
The
river tributaries merge between teal ribbons.
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Fractal 10
Bubble
Style
The
landscape no longer discernable, teal bubble
trees float in space.
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Fractal 11
Bubble
Style
The
hanging branch of a teal bubble tree.
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Fractal 12
Ribbon
Style
The
landscape changes to red-orange ribbons.
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Fractal 13
Bubble
Style
Three
columns of red bubbles fuse together.
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Fractal 14
Basic
Style
Deja
V¿ as the landscape appears again.
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Fractal 15
Decomposition
Style
Red
landscape with decomposition overlay.
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Fractal 16
Thorn
Style
A
cluster of red & white thorns.
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Fractal 17
Decomposition
Style
A
barely visible shape resembling blood vessels
beneath a blue and gold patchwork.
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More basic Mandelbrot Fractals on our
Simple Recursive
Fractals Page.