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titoinou — Red Carpet Fractal by-nc-sa

Published: 2012-11-28 18:10:09 +0000 UTC; Views: 784; Favourites: 2; Downloads: 62
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Description Kaliset Fractal with my own formula and coloring technique generated in Fragmentarium.


My gallery : [link]

[Kaliset Fractals]

Theses fractals emerge from progression of complex numbers defined by a recurrence relation.
The fractal is actually the plane of the first complex number of this progression.

Kaliset fractals often have a nice geometric interpretation, since usually the recurrence relation is just made of translations, reflections, rotations and similarities.
Theses transformations are all part of planar affine transformations.

The colors are produced from this progression's mathematical properties.
They are not from a "palette" or a pre-defined "color scheme".
It means that I don't really choose the colors : I just pick the rights mathematical constants of the coloring formulas so that it look nice.
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Comments: 3

bryceguy72 [2012-12-22 16:49:00 +0000 UTC]

Impressive! It reminds me of the Sierpinski carpet but with more variation and complexity and less self-similarity.

👍: 0 ⏩: 0

gnubakaduba [2012-11-28 20:34:00 +0000 UTC]

Wonderful work!

👍: 0 ⏩: 1

titoinou In reply to gnubakaduba [2012-11-28 21:49:46 +0000 UTC]

Thank you!

👍: 0 ⏩: 0