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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: March 2013
Running in circles
Another way for getting images with rotational symmetry: Take several similar images and map them on a circular disk. Muybridge’s Animals in Motion and The Human Figure in Motion are interesting sources. You can buy them already scanned from Dover … Continue reading
Posted in Anamorphosis, Extra
Tagged anamorphic images, anamorphosis, Muybridge, Rotational symmetry
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rotational symmetry from superposition
Its snowing outside and it looks more like winter than spring. In two days we will have daylight savings time – what a mockery. Let’s stay inside and work on some pictures. To get images of rotational symmetry without distortion … Continue reading
anamorphosis with 6fold rotational symmetry
Thinking of snowflakes I made anamorphic images with 6fold rotational symmetry based on the 6th power of z=x+iy. But because of the strong distortions I could not get anything resembling the crystalline beauty of snowflakes. Instead I got somewhat amorphous … Continue reading
Posted in Anamorphosis
Tagged anamorphic images, anamorphosis, rose window, Rotational symmetry
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Anamorphic images with rotational symmetry
In our garden we have some polished spheres made of stainless steel. I like to look at them and to see the distorted images of the surrounding. The straight lines of the house and tree trunks become graceful curves. Polished … Continue reading
Posted in Anamorphosis
Tagged anamorphic images, anamorphosis, kaleidoscope, Rotational symmetry
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An iterative hexagonal kaleidoscope
We can use the geometry of the last post differently. Draw inside a hexagon two equal sided triangles with the same corners as the hexagon. Then the intersection between the triangles gives a new smaller hexagon. Repeating this we get … Continue reading
A fractal kaleidoscope
– whatever that means. I got the idea from the exterior snowflake and the Koch snowflake. They both are fractal curves and are discussed in Wikipedia and Wolfram math world. But I slightly modified the iteration scheme. I start with … Continue reading
Posted in Fractals, Kaleidoscopes
Tagged fractal, fractal design, kaleidoscope, mirror symmetry
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Just another kaleidoscope
I extend the ideas of my recent post on quasiperiodic kaleidoscopes. We cut the picture plane into many triangles of varying size. Then, we take a small region of some image and get from it pieces that we copy into … Continue reading