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  1. Bog
  2. Geometri
  3. Fraktalgeometri

Fractalize That! : A Visual Essay On Statistical Geometry

Af: John Shier Engelsk Hardback

Fractalize That! : A Visual Essay On Statistical Geometry

Af: John Shier Engelsk Hardback
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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 an application. The patterns generated are often quite interesting as abstract art. Readers can also create these computer-generated art with the advice and examples provided.

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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 an application. The patterns generated are often quite interesting as abstract art. Readers can also create these computer-generated art with the advice and examples provided.

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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 124
ISBN-13: 9789813275164
Indbinding: Hardback
Udgave:
ISBN-10: 9813275162
Kategori: Fraktalgeometri
Udg. Dato: 24 jan 2019
Længde: 0mm
Bredde: 0mm
Højde: 0mm
Forlag: World Scientific Publishing Co Pte Ltd
Oplagsdato: 24 jan 2019
Forfatter(e): John Shier
Forfatter(e) John Shier

Kategori Fraktalgeometri

ISBN-13 9789813275164

Sprog Engelsk

Indbinding Hardback

Sider 124

Udgave

Længde 0mm

Bredde 0mm

Højde 0mm

Udg. Dato 24 jan 2019

Oplagsdato 24 jan 2019

Forlag World Scientific Publishing Co Pte Ltd

Kategori sammenhænge