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 Color symmetry using the length scale of the inflated lattice
 images with 5fold symmetry and color change indicating selfsimilarity
 images of 8fold rotational symmetry and color changing mirror symmetry
 images of 10fold rotational symmetry and 2color symmetry upon rotation
 Examples of basic fivefold rotational symmetry
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Category Archives: programming
Smoothing images
The image quality suffers if the mapping functions X(x,y) and Y(x,y) of the position (x,y) of a pixel of the output image to the position (X,Y) of the sampled input image pixel are strongly contracting or expanding. For contracting mappings … Continue reading
Posted in Kaleidoscopes, programming
Tagged kaleidoscope, programming, smoothing images
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Better images from higher harmonics ?
Maybe you have noticed that a lot of round shapes without details in the recent images of this blog. They resemble bullseyes. Here is an example: It’s a periodic image with square symmetry and no mirror symmetry. Its big grey … Continue reading
Posted in Anamorphosis, Kaleidoscopes, programming
Tagged anamorphosis, kaleidoscope, programming
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Color symmetry upon rotation
Now I want to present color symmetry upon rotation for periodic and quasiperiodic kaleidoscopes. We have n different versions how to show the pixel colors of the input image in the new output image. For a color symmetry we have … Continue reading
Rotational symmetry from space with an odd number of dimensions
We now look at the easier case for the post “Quasiperiodic and periodic kaleidoscope from higher dimensional space“, where the embedding space has an odd number of dimensions, p=2q+1. The unit vectors lie at equal angles and form a star … Continue reading
Rotations, mirrorsymmetry and the scalar product
In the last post we have seen that scalar products between a pixel’s position in the output image and certain vectors e define periodic and quasiperiodic designs. We want symmetric images and thus we have to see how the scalar product changes … Continue reading
Posted in Anamorphosis, Kaleidoscopes, programming, Tilings
Tagged Math, mirror symmetry, Rotational symmetry
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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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Color transformation
I am now discussing color transformations for creating kaleidoscopic images with twocolor symmetry. Each pixel has three color components: red, green and blue. Their values are between 0 and 255. Thus we can think that a pixel color is a point with … Continue reading
Posted in Kaleidoscopes, programming
Tagged Colors, false colors, negative image, transformation, twocolor symmetry
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