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An example of various paper snowflake designs. A paper snowflakeis a type of paper craftbased on a snowflakethat combines origamiwith papercutting. The designs can vary significantly after doing mandatory folding. [1] An online version of the craft is known as "Make-A-Flake", and was created by Barkley Inc.in 2008. [2]
Snowflake. A snowflake is a single ice crystal that has achieved a sufficient size, and may have amalgamated with others, which falls through the Earth's atmosphere as snow. [ 1][ 2][ 3] Each flake nucleates around a tiny particle in supersaturated air masses by attracting supercooled cloud water droplets, which freeze and accrete in crystal form.
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.
Wilson Bentley. Wilson Alwyn Bentley (February 9, 1865 – December 23, 1931), also known as Snowflake Bentley, was an American meteorologist and photographer, who was the first known person to take detailed photographs of snowflakes and record their features. [1] He perfected a process of catching flakes on black velvet in such a way that ...
But in measuring an infinitely "wiggly" fractal curve such as the Koch snowflake, one would never find a small enough straight segment to conform to the curve, because the jagged pattern would always re-appear, at arbitrarily small scales, essentially pulling a little more of the tape measure into the total length measured each time one ...
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The number of those square structures is a Fibonacci number. By an iterated construction of 8 square patterns around each square pattern. The Hausdorff dimension of the Fibonacci word fractal is , with the golden ratio. Generalizing to an angle between 0 and , its Hausdorff dimension is , with .
The snowflake schema is a variation of the star schema, featuring normalization of dimension tables. In computing, a snowflake schema or snowflake model is a logical arrangement of tables in a multidimensional database such that the entity relationship diagram resembles a snowflake shape. The snowflake schema is represented by centralized fact ...
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