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Tag Archives: Rotational symmetry
Mirror symmetry and rotational symmetry
To study mirror symmetry at the xaxis together with rotational symmetry we can do similarly as in the earlier post “improved symmetric sum“. Here I prefer to present only the conclusions, which you could get by intuition too. It is important … Continue reading
Improved twocolor symmetry upon rotation
As discussed in the post “twocolor rotational symmetry” we get only a single real colorchanging function U(x,y) instead of a mapping W(x,y)=U(x,y)+iV(x,y) to the complex plane. Thus we need a special approach to get a mapping to the input image … Continue reading
improved combination of color symmetry and rotation
As mentioned in the last post using two unrelated anamorphic mappings, one for reading the input image and another one for choosing color variants, makes it difficult to create interesting images. From the mapping that determines the color variant we … Continue reading
threecolor rotational symmetry
I found it rather difficult to add threecolor symmetry to rotational symmetry and had to do the theory of the post “color symmetry upon rotation“. Then, programming was quite easy. In the end we combine a periodic or quasiperiodic anamorphic … Continue reading
twocolor rotational symmetry
We can only add a twocolor symmetry to a rotational symmetry if the rotational symmetry is of even order. After some simple calculations, we get from the previous post a real mapping for selecting the color variants where the d … Continue reading
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
Quasiperiodic design with 8fold rotational symmetry from 4dimensional space
Using the recipe of the last post for fourdimensional space (p=4) I got this image of 8fold rotational symmetry: A center of approximate 8fold rotational symmetry is near the lower left corner. Large brown patches appear at roughly equal distances. … Continue reading