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The Sierpiński triangle, also called the Sierpiński gasket or Sierpiński sieve, is a fractal with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles. Originally constructed as a curve, this is one of the basic examples of self-similar sets—that is, it is a mathematically generated ...
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 ...
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 ...
Dewey Decimal. 551.57/841/092 B 21. LC Class. QC858.B46 M37 1998. Snowflake Bentley is a children's picture book written by Jacqueline Briggs Martin and illustrated by Mary Azarian. Published in 1998, the book is about Wilson Bentley, the first known photographer of snowflakes. Azarian won the 1999 Caldecott Medal for her illustrations. [1]
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.
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.
Natural patterns include symmetries, trees, spirals, meanders, waves, foams, tessellations, cracksand stripes.[1] Early Greek philosophersstudied pattern, with Plato, Pythagorasand Empedoclesattempting to explain order in nature. The modern understanding of visible patterns developed gradually over time.
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.
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