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Monthly Archives: June 2017
Quasiperiodic and periodic kaleidoscopes from higher dimensional space
To get quasiperiodic and periodic designs in the twodimensional plane we first make a periodic decoration of higher dimensional space. Then we cut an infinitely thin twodimensional slice out of this space. This gives a design with rotational symmetry if … Continue reading
Posted in Anamorphosis, Kaleidoscopes, Quasiperiodic design, Tilings
Tagged kaleidoscope, symmetry
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Changing the hue
It has been easy to find special color transformations for 2 and 3color symmetries. For other color symmetries I use a rather general color transformation that changes the hue. First, we separate the pixel color in a grey part and … Continue reading
Posted in Kaleidoscopes, programming
Tagged Color, color manipulation, hue, programming
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3color symmetry
For color symmetries we need a mapping W(z) for its structure as discussed in the last post and some suitable color transformations. In an earlier post I discussed some simple transformations for making a 2color symmetry. For 3color symmetries we … Continue reading
Posted in Anamorphosis, Kaleidoscopes
Tagged Color, color symmetry, kaleidoscope, rose window, Rotational symmetry
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nfold color symmetry
Let’s begin with a simple kaleidoscope, where a pixel at coordinates z=x+iy has the original colors of an input image at the mapped coordinates Z(z)=X(x,y)+iY(x,y). It has some symmetry s. It is a mapping of the plane that does not … Continue reading
Posted in Anamorphosis, Kaleidoscopes
Tagged anamorphosis, color symmetry, kaleidoscope, programming, Rotational symmetry
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