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String art, created with thread and paper. A string art representing a projection of the 8-dimensional 4 21 polytope. Quadratic Béziers in string art: The end points (•) and control point (×) define the quadratic Bézier curve (⋯). The arc is a segment of a parabola. String art or pin and thread art, is characterized by an arrangement of ...
L-system trees form realistic models of natural patterns. An L-system or Lindenmayer system is a parallel rewriting system and a type of formal grammar.An L-system consists of an alphabet of symbols that can be used to make strings, a collection of production rules that expand each symbol into some larger string of symbols, an initial "axiom" string from which to begin construction, and a ...
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 ...
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 their images could ...
Snowflake Bentley received critical acclaim. Kirkus reviews says “This is a lyrical biographical tribute to a farmer…whose love of snow and careful camera work expanded both natural science and photography”, [ 2 ] and Horn book review says “The book exhibits a beautiful blend of Azarian’s splendid woodcuts, a lyrical text, and factual ...
The hexagonal snowflake, a crystalline formation of ice, has intrigued people throughout history. This is a chronology of interest and research into snowflakes. Artists, philosophers, and scientists have wondered at their shape, recorded them by hand or in photographs, and attempted to recreate hexagonal snowflakes.
A tessellationor tilingis the covering of a surface, often a plane, using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellation can be generalized to higher dimensionsand a variety of geometries. A periodic tilinghas a repeating pattern.
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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