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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
Posted in Kaleidoscopes, programming
Tagged color symmetry, kaleidoscope, programming, twocolor symmetry
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checkerboard coloring of tiling with 12fold 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 12fold rotational symmetry. Again the stars of rhombs have only one color: All squares have the … Continue reading
checkerboard coloring of quasiperiodic tilings
A long time ago I found a coloring of the rhombs of the AmmannBeenker tiling using two colors such that translations exchange colors, see “twofold color symmetry …“. In particular, there are stars of rhombs of both colors. They define … Continue reading
More magic mirrors
For a kaleidoscope with sixfold 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
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
threecolor symmetry from doubling the tiling of rhombs
I am going back to colorsymmetries of quasiperiodic tilings. In “Threecolor symmetry in rotation for the Stampfli tiling” I have shown that the twelvefold rotational symmetry can exchange three colors if triangles are not considered. A tiling of twelvefold rotational symmetry … Continue reading
Color symmetry from more than two waves
In the last post we got a hue from two wave functions resulting in twocolor 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
Posted in Quasiperiodic design
Tagged color symmetry, Quasiperiodic design, Rotational symmetry
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