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 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
 Apollonian gasket as a spherical fractal with tetrahedral symmetry
 waves – a browser app for creating quasiperiodic wallpapers
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Monthly Archives: April 2013
Nautilus
I like Nautilus shells. They have the shape of a logarithmic spiral. This served me as a new inspiration for creating new pictures. Note added on the 25th august 2017: The discussion in this post here was too obscure and … Continue reading
Posted in Anamorphosis, Extra, Kaleidoscopes
Tagged anamorphosis, kaleidoscope, Nautilus, Selfsimilarity
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repeated plane mapping, anamorphosis and mirrors
The image of the last post is quite bewildering. To get a calmer and simpler image I imposed mirror symmetries on the original image. A vertical mirror line results from taking the absolute value of the xcoordinate. Similarly, I take … Continue reading
Posted in Anamorphosis, Kaleidoscopes, Selfsimilarity
Tagged anamorphosis, kaleidoscope, Selfsimilarity, translational symmetry
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Selfsimilar designs from repeated plane mappings and anamorphosis
I am reconsidering ideas Pickover has presented in his book “Computers, Patterns, Chaos and Beauty”. My post “Fractal surprise from complex function iteration” discusses already some aspects. Complex numbers z=x+iy represent the (x,y)plane and complex functions f(z) define a mapping … Continue reading
Posted in Anamorphosis, Selfsimilarity
Tagged anamorphosis, fractal, Selfsimilarity
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designs of six and 12fold rotational symmetry from anamorphosis
I am extending the work presented in the last post. I use the ideas of “Stampflitiling and related designs from waves“. There I started with two different wave functions. They both make up hexagonal lattices, but they are rotated by … Continue reading
Posted in Anamorphosis, Quasiperiodic design
Tagged anamorphosis, Quasiperiodic design, Rotational symmetry
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quasiperiodic designs using anamorphosis
As discussed in “Synthesizing quasiperiodic tilings“, I have used sinusoidal waves to generate quasiperiodic designs. There you can see a decoration of the AmmannBeenker tiling based on two different wave functions of eightfold rotational symmetry. One of them controls the … Continue reading
Posted in Anamorphosis, Quasiperiodic design
Tagged anamorphosis, Quasiperiodic design
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