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 A rosette in a roman mosaic is an exponential transform of a periodic tiling
 Fractal tiling of a sphere with octahedral twocolour symmetry
 A fractal tiling of both octahedral and icosahedral symmetry
 A variant of the Apollonian gasket with icosahedral symmetry
 Apollonian gasket as a fractal in tiled hyperbolic space
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Tag Archives: Color
Changing the hue
It has been easy to find special color transformations for 2 and 3color symmetries. For other color symmetries I use a rather general color transformation that changes the hue. First, we separate the pixel color in a grey part and … Continue reading
Posted in Kaleidoscopes, programming
Tagged Color, color manipulation, hue, programming
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3color symmetry
For color symmetries we need a mapping W(z) for its structure as discussed in the last post and some suitable color transformations. In an earlier post I discussed some simple transformations for making a 2color symmetry. For 3color symmetries we … Continue reading
Posted in Anamorphosis, Kaleidoscopes
Tagged Color, color symmetry, kaleidoscope, rose window, Rotational symmetry
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Rainbow colors
We can define a continuous number x of iterations needed to reach the critical radius R. Note that if the nth iteration of f(z) equals R then x=n, and if the (n1)th iteration equals R then x=n1. For values inbetween … Continue reading
Posted in Fractals, programming, Selfsimilarity
Tagged Color, fractal, fractal design, Rotational symmetry
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waves
I was looking at the waves resulting from stones thrown into a lake. This made me think of an anamorphosis, that simulates these troubled reflections. It is actually quite simple. The center of the coordinate system is in the middle. … Continue reading
Posted in Anamorphosis, Extra
Tagged anamorphosis, Art, Color, mirror symmetry, Rotational symmetry
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colorz
Photos that look ok, often give dull results if seen through a kaleidoscope. Seeing the abstract symmetrical image, I expect more vivid colors. Thus I searched for a way to increase the color saturation to a maximum. Using the huesaturationbrightness … Continue reading
rotational symmetry from superposition
Its snowing outside and it looks more like winter than spring. In two days we will have daylight savings time – what a mockery. Let’s stay inside and work on some pictures. To get images of rotational symmetry without distortion … Continue reading
Selfsimilar images from iterated mappings of the plane
A mapping of the plane defines simply another point (u,v) in the plane as a function of the coordinates (x,y) of a point in the plane. The mapping is defined by the functions for the new coordinates u=f(x,y) and v=g(x,y). … Continue reading