Category Archives: Anamorphosis

Mirror symmetry and rotational symmetry

To study mirror symmetry at the x-axis 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

Posted in Anamorphosis, Kaleidoscopes, Quasiperiodic design | Tagged , , , | Leave a comment

Improved two-color symmetry upon rotation

As discussed in the post “two-color rotational symmetry” we get only a single real color-changing 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

Posted in Anamorphosis, Kaleidoscopes, Quasiperiodic design | Tagged , , , , | Leave a comment

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

Posted in Anamorphosis, Kaleidoscopes, Quasiperiodic design, Tilings | Tagged , , , , | Leave a comment

three-color rotational symmetry

I found it rather difficult to add three-color 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 quasi-periodic anamorphic … Continue reading

Posted in Anamorphosis, Kaleidoscopes, Quasiperiodic design, Tilings | Tagged , , , , | Leave a comment

two-color rotational symmetry

We can only add a two-color 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

Posted in Anamorphosis, Kaleidoscopes, Quasiperiodic design, Tilings | Tagged , , , , | Leave a comment

Color symmetry upon rotation

Now I want to present color symmetry upon rotation for periodic and quasi-periodic 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

Posted in Anamorphosis, Kaleidoscopes, programming, Quasiperiodic design | Tagged , , , , | Leave a comment

Improved symmetric sum

I’ve found a better way how to write the sums of the posts “Rotational symmetry from space with an odd number of dimensions” and “Rotational symmetry from space with an even number of dimensions“. It is more compact, shows how to calculate … Continue reading

Posted in Anamorphosis, Kaleidoscopes, Quasiperiodic design, Tilings | Leave a comment