Tag Archives: color symmetry

Kaleidoscopes with twofold color symmetry.

A checkerboard is a square lattice with twofold color symmetry. The alternating black and white squares make it more interesting than a simple square lattice. Thus I want to have too some twofold color symmetry for our kaleidoscopes. Farris has done this … Continue reading

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checkerboard coloring of tiling with 12-fold rotational symmetry

At the risk of boring you I am showing the results of the checkerboard coloring as discussed in the last post, but now for 12-fold rotational symmetry. Again the stars of rhombs have only one color: All squares have the … Continue reading

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checkerboard coloring of quasiperiodic tilings

A long time ago I found a coloring of the rhombs of the Ammann-Beenker tiling using two colors such that translations exchange colors, see “two-fold color symmetry …“. In particular, there are stars of rhombs of both colors. They define … Continue reading

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More magic mirrors

For a kaleidoscope with six-fold rotational symmetry and using three distinct colors I made up a new kind of mirrors that exchanges colors cyclically. That means that color number one becomes color number 2 in the mirror image. Then color … Continue reading

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Magic Kaleidoscope

In “How to program an ideal kaleidoscope” I have shown how to imitate an ideal kaleidoscope. But we can do more. As an example, I modified the program to have mirrors that invert the colors and give the negative of … Continue reading

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three-color symmetry from doubling the tiling of rhombs

I am going back to color-symmetries of quasiperiodic tilings. In “Three-color symmetry in rotation for the Stampfli tiling” I have shown that the twelve-fold rotational symmetry can exchange three colors if triangles are not considered.  A tiling of twelve-fold rotational symmetry … Continue reading

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Color symmetry from more than two waves

In the last post we got a hue from two wave functions resulting in two-color symmetries. The method can be extended to any number n of wave functions f_i(x,y). Just think of n points distributed evenly on the unit circle … Continue reading

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