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 Quasiperiodic design with 8fold rotational symmetry from 4dimensional space
 Rotational symmetry from space with an even number of dimensions
 Periodic design with 3fold rotational symmetry from 3dimensional space
 Inversion symmetry doubles the rotation symmetry for an odd number of dimensions
 quasiperiodic patterns of 5fold symmetry from 5 dimensional space
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Monthly Archives: May 2017
Simple example of a rosette with twocolor symmetry
To keep things simple I am creating rosette with sixfold rotational symmetry. The mapping functions are, using polar coordinates: X = r³ cos(6*φ) and Y = r³ sin(6*φ). An input image of a single butterfly results in 6 distorted butterflies: The black … Continue reading
Posted in Kaleidoscopes
Tagged color symmetry, kaleidoscope, rose window, Rotational symmetry
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Color transformation
I am now discussing color transformations for creating kaleidoscopic images with twocolor symmetry. Each pixel has three color components: red, green and blue. Their values are between 0 and 255. Thus we can think that a pixel color is a point with … Continue reading
Posted in Kaleidoscopes, programming
Tagged Colors, false colors, negative image, transformation, twocolor symmetry
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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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