FRACTALIZE THAT!A VISUAL ESSAY ON STATISTICAL GEOMETRY: A Visual Essay on Statistical Geometry

$38.00

FRACTALIZE THAT!: A VISUAL ESSAY ON STATISTICAL GEOMETRYA Visual Essay on Statistical Geometry Fractalize That! A Visual Essay on Statistical Geometry brings a new class of geometric fractals to a wider audience of mathematicians and scientists. It describes a recently discovered random fractal space-filling algorithm. Connections with tessellations and known fractals such as Sierpinski are developed. And, the mathematical development is illustrated by a large number of colorful images that will charm the readers.The algorithm claims to be universal in scope, in that it can fill any spatial region with smaller and smaller fill regions of any shape. The filling is complete in the limit of an infinite number of fill regions. This book presents a descriptive development of the subject using the traditional shapes of geometry such as discs, squares, and triangles. It contains a detailed mathematical treatment of all that is currently known about the algorithm, as well as a chapter on software implementation of the algorithm.The mathematician will find a wealth of interesting conjectures supported by numerical computation. Physicists are offered a model looking for anlso create these computer-generated art with the advice and examples provided.FRACTALIZE THAT!: A VISUAL ESSAY ON STATISTICAL GEOMETRY: A Visual Essay on Statistical Geometry is written by John Shier and published by World Scientific. ISBNs for FRACTALIZE THAT!: A VISUAL ESSAY ON STATISTICAL GEOMETRY are 9789813275188, 9813275189 and the print ISBNs are 9789813275164, 9813275162.

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It describes a recently discovered random fractal space-filling algorithm. Connections with tessellations and known fractals such as Sierpinski are developed. And, the mathematical development is illustrated by a large number of colorful images that will charm the readers.The algorithm claims to be universal in scope, in that it can fill any spatial region with smaller and smaller fill regions of any shape. The filling is complete in the limit of an infinite number of fill regions. This book presents a descriptive development of the subject using the traditional shapes of geometry such as discs, squares, and triangles. It contains a detailed mathematical treatment of all that is currently known about the algorithm, as well as a chapter on software implementation of the algorithm.The mathematician will find a wealth of interesting conjectures supported by numerical computation. Physicists are offered a model looking for anlso create these computer-generated art with the advice and examples provided.FRACTALIZE THAT!: A VISUAL ESSAY ON STATISTICAL GEOMETRY: A Visual Essay on Statistical Geometry is written by John Shier and published by World Scientific. ISBNs for FRACTALIZE THAT!: A VISUAL ESSAY ON STATISTICAL GEOMETRY are 9789813275188, 9813275189 and the print ISBNs are 9789813275164, 9813275162.