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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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Tag Archives: Art
quasiperiodic patterns of 5fold symmetry from 5 dimensional space
I now want to see some images. Using a photo of a caterpillar as input image I get I used the simplest quasiperiodic mapping functions resulting from the theory of the last post and The center of perfect 5fold symmetry … Continue reading
Posted in Anamorphosis, Kaleidoscopes, Quasiperiodic design
Tagged anamorphosis, Art, Quasiperiodic design, Rotational symmetry
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Creating Symmetry
Recently I found a very exciting book: “Creating Symmetry – The Artful Mathematics of Wallpaper Patterns” by Frank A Farris. It has many beautiful images and explains the mathematics behind them very well, such that you could do your own work. His … Continue reading
Posted in Kaleidoscopes, Tilings
Tagged Art, generative design, Geometry, kaleidoscope, symmetry
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waves
I was looking at the waves resulting from stones thrown into a lake. This made me think of an anamorphosis, that simulates these troubled reflections. It is actually quite simple. The center of the coordinate system is in the middle. … Continue reading
Posted in Anamorphosis, Extra
Tagged anamorphosis, Art, Color, mirror symmetry, Rotational symmetry
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colorz
Photos that look ok, often give dull results if seen through a kaleidoscope. Seeing the abstract symmetrical image, I expect more vivid colors. Thus I searched for a way to increase the color saturation to a maximum. Using the huesaturationbrightness … Continue reading
cellular automaton on the semiregular tesselation of squares and octagons
For a change I am looking again at cellular automatons. The results using a square lattice were not really satisfying, see “cellular automaton with color on a square lattice“. There, horizontal and vertical lines dominated too much. To get different … Continue reading
Experiments with waves
I extended the program that mixes waves to get some more decorative and less scientific pictures. Using n=9 and a nonlinear color model gives:
Playing with pentagrams
With some basic trigonometry we can program the computer to draw pentagrams (or star pentagons) which are the wellknown stars with five points. They can be combined in many ways because of their special geometry. Especially interesting are series of … Continue reading