Fractalize That: A Visual Essay on Statistical Geometry: 3 - Rilegato

Shier, John

Rilegato

ISBN 10: 9813275162 ISBN 13: 9789813275164

Casa editrice: World Scientific Pub Co Inc, 2019

Riassunto

The book describes a recently discovered random fractal space-filling algorithm beginning with tessellations and Sierpinski, illustrating the relationship to statistical geometry and bringing together all that is known about it to a wider audience of mathematicians and scientists. 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.

Dettagli dell'edizione

• Editore: World Scientific Pub Co Inc
• Data di pubblicazione: 2019
• Lingua: Inglese
• ISBN 10: 9813275162
• ISBN 13: 9789813275164
• Rilegatura: Copertina rigida
• Numero di pagine: 109
• Contatto del produttore: non disponibile
• Persona responsabile: GPSR Kontakt; gpsr@libri.de; ; Europaallee 1; Bad Hersfeld; 36244; Germania