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Tag Archives: octahedron
Fractal tiling of a sphere with octahedral two-colour symmetry
The octahedron can have a nice two-colour symmetry. We get it from putting two tetrahedrons together, making a stellated octahedron. It is an eight-pointed star and has already been discussed by Pacioli in his book “de divina proportione” in the … Continue reading
Posted in Fractals, Kaleidoscopes, Self-similarity, Tilings
Tagged color symmetry, fractal, kaleidoscope, octahedron, spherical tiling
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A fractal tiling of both octahedral and icosahedral symmetry
I want to show you a fractal tiling which can be seen as a decoration of a sphere with octahedral symmetry and at the same time as another decoration of a sphere with icosahedral symmetry. It arises as the limit … Continue reading
Posted in Fractals, Tilings
Tagged fractal, icosahedron, octahedron, Poincaré disc, Self-similarity, Tiling
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