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Mandelbulber is adept at producing 3D animations. [28] Mandelbulb 3D is free software for creating 3D images featuring many effects found in 3D rendering environments. [29] Incendia is a 3D fractal program that uses Iterated Function Systems (IFS) for fractal generation. [30] Visions of Chaos, Boxplorer and Fragmentarium also render 3D images.
A Mosely snowflake is a cube-based fractal with corners recursively removed. [18] A tetrix is a tetrahedron-based fractal made from four smaller copies, arranged in a tetrahedron. [19] A Sierpinski–Menger snowflake is a cube-based fractal in which eight corner cubes and one central cube are kept each time at the lower and lower recursion steps.
The stellated octahedron is the first iteration of the 3D analogue of a Koch snowflake. A compound of two spherical tetrahedra can be constructed, as illustrated. The two tetrahedra of the compound view of the stellated octahedron are "desmic", meaning that (when interpreted as a line in projective space ) each edge of one tetrahedron crosses ...
Macro photography of a natural snowflake. A snowflake is a single ice crystal that is large enough to fall through the Earth's atmosphere as snow. [1] [2] [3] Snow appears white in color despite being made of clear ice. This is because the many small crystal facets of the snowflakes scatter the sunlight between them. [4]
Islamic geometric patterns are reminiscent of fractal art, as on the main dome of Selimiye Mosque in Edirne, Turkey, with self-similar patterns. Fractal art is a form of algorithmic art created by calculating fractal objects and representing the calculation results as still digital images, animations, and media.
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The Koch snowflake (also known as the Koch curve, Koch star, or Koch island [1] [2]) is a fractal curve and one of the earliest fractals to have been described. It is based on the Koch curve, which appeared in a 1904 paper titled "On a Continuous Curve Without Tangents, Constructible from Elementary Geometry" [3] by the Swedish mathematician Helge von Koch.
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