Tag Archives: kaleidoscope

images with 5-fold symmetry and color change indicating self-similarity

And now for more images with 5-fold rotational symmetry and color change derived from self-similarity as discussed in “self-similarity and color modification“. Zoom in to see the molten watch faces in this image: Here I used the portrait of a … 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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Morphing between square symmetry and eight fold rotational symmetry

A long time ago in “Crazy graph paper” I have shown a morphing between the square lattice and the quasiperiodic Ammann-Beenker tiling of eight-fold rotational symmetry. We can do similar morphs with mapping functions using waves. The wave vectors (1,0) … Continue reading

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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

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Spirals

Spiral designs are attractive and we can easily get them by transforming periodic designs. An example is the “Iris Spiral” created by Frank Farris. In my earlier post “Nautilus” I tried to explain the method and showed some results. Unfortunately, … Continue reading

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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 bulls-eyes. Here is an example: It’s a periodic image with square symmetry and no mirror symmetry. Its big grey … 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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