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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 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 .
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]
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 ...
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 ...
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 ...
Patterns in nature are visible regularities of form found in the natural world. These patterns recur in different contexts and can sometimes be modelled mathematically. Natural patterns include symmetries, trees, spirals, meanders, waves, foams, tessellations, cracks and stripes. [ 1] Early Greek philosophers studied pattern, with Plato ...
n. -flake. An n-flake, polyflake, or Sierpinski n-gon, [ 1]: 1 is a fractal constructed starting from an n -gon. This n -gon is replaced by a flake of smaller n -gons, such that the scaled polygons are placed at the vertices, and sometimes in the center. This process is repeated recursively to result in the fractal.
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