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

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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 x-coordinate. Similarly, I take … Continue reading

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Self-similar 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

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designs of six- and 12-fold rotational symmetry from anamorphosis

I am extending the work presented in the last post. I use the ideas of “Stampfli-tiling 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

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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 Ammann-Beenker tiling based on two different wave functions of eight-fold rotational symmetry. One of them controls the … Continue reading

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