Tag Archives: color symmetry

Color symmetry using the length scale of the inflated lattice

I have shown some images with 2-color symmetry upon rotation shown in “images of 10-fold rotational …“. But the fast color changes they hacked¬†them into small pieces. We can get better images if we use a color changing function with … Continue reading

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images of 8-fold rotational symmetry and color changing mirror symmetry

Here I am showing some quasi-periodic designs of eight-fold rotational symmetry. They have a color change upon mirroring at the x-axis and 7 other mirror axis generated by the rotational symmetry. Note that these images have a rather large scale … Continue reading

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images of 10-fold rotational symmetry and 2-color symmetry upon rotation

Here are some images of 10-fold rotational symmetry and 2-color symmetry upon rotation. They have an additional mirror symmetry. Thus you can discover local mirror symmetries with and without color change. Again, they are of large size and you can … Continue reading

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2-color mirror symmetry

We now want an image with periodic or quasi-periodic rotational symmetry that changes colors upon mirroring. Thus we need a color-changing function U(x,y) that changes the sign U(x,-y)=-U(x,y) for its mirror image at the x-axis. We can easily get this … Continue reading

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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

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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

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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

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