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  2. Fibonacci word fractal - Wikipedia

    en.wikipedia.org/wiki/Fibonacci_word_fractal

    The juxtaposition of 4 tiles (see illustration) leaves at the center a free square whose area tends to zero as k tends to infinity. At the limit, the infinite Fibonacci tile tiles the plane. If the tile is enclosed in a square of side 1, then its area tends to =. Perfect tiling by the Fibonacci snowflake

  3. Snowflake - Wikipedia

    en.wikipedia.org/wiki/Snowflake

    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]

  4. File:Koch Snowflake 5th iteration.svg - Wikipedia

    en.wikipedia.org/wiki/File:Koch_Snowflake_5th...

    Printable version; Page information; Get shortened URL; ... Koch Snowflake 2nd iteration.svg, Image:Koch Snowflake 3rd iteration.svg, Image:Koch Snowflake 4th ...

  5. Self-similarity - Wikipedia

    en.wikipedia.org/wiki/Self-similarity

    A Koch snowflake has an infinitely repeating self-similarity when it is magnified. Standard (trivial) self-similarity. [1]In mathematics, a self-similar object is exactly or approximately similar to a part of itself (i.e., the whole has the same shape as one or more of the parts).

  6. Koch snowflake - Wikipedia

    en.wikipedia.org/wiki/Koch_snowflake

    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.

  7. Fractal curve - Wikipedia

    en.wikipedia.org/wiki/Fractal_curve

    Starting in the 1950s Benoit Mandelbrot and others have studied self-similarity of fractal curves, and have applied theory of fractals to modelling natural phenomena.Self-similarity occurs, and analysis of these patterns has found fractal curves in such diverse fields as economics, fluid mechanics, geomorphology, human physiology and linguistics.

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    Get AOL Mail for FREE! Manage your email like never before with travel, photo & document views. Personalize your inbox with themes & tabs. You've Got Mail!

  9. Menger sponge - Wikipedia

    en.wikipedia.org/wiki/Menger_sponge

    A Mosely snowflake is a cube-based fractal with corners recursively removed. [17] A tetrix is a tetrahedron-based fractal made from four smaller copies, arranged in a tetrahedron. [18] 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.

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