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Fractalize that![electronic resource] :a visual essay on statistical geometry /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	516/.132
書名/作者:	Fractalize that! : a visual essay on statistical geometry // by John Shier.
作者:	Shier, John.
出版者:	Singapore : : World Scientific,, c2019.
面頁冊數:	1 online resource (124 p.) : : ill.
標題:	Tessellations (Mathematics)
標題:	Fractals.
標題:	Algebraic spaces.
標題:	Geometry, Algebraic.
標題:	Electronic books.
ISBN:	9789813275171
書目註:	Includes bibliographical references.
摘要、提要註:	"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."--
電子資源:	http://www.worldscientific.com/worldscibooks/10.1142/11126#t=toc

Fractalize that![electronic resource] :a visual essay on statistical geometry /
Shier, John.

Fractalize that!a visual essay on statistical geometry /[electronic resource] :by John Shier. - 1st ed. - Singapore :World Scientific,c2019. - 1 online resource (124 p.) :ill. - Fractals and dynamics in mathematics, science, and the arts. Theory and applications,v. 32382-6320 ;. - Fractals and dynamics in mathematics, science, and the arts.Theory and applications ;v. 3..

Includes bibliographical references.

"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."--

Mode of access: World Wide Web.

ISBN: 9789813275171Subjects--Topical Terms:

709981
Tessellations (Mathematics)

LC Class. No.: QA166.8 / .S55 2019

Dewey Class. No.: 516/.132

Fractalize that![electronic resource] :a visual essay on statistical geometry /
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245 1 0 $a Fractalize that! $h [electronic resource] : $b a visual essay on statistical geometry / $c by John Shier.
250 $a 1st ed.
260 $a Singapore : $b World Scientific, $c c2019.
300 $a 1 online resource (124 p.) : $b ill.
490 1 $a Fractals and dynamics in mathematics, science, and the arts. Theory and applications, $x 2382-6320 ; $v v. 3
504 $a Includes bibliographical references.
520 $a "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."-- $c Publisher's website.
538 $a Mode of access: World Wide Web.
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588 $a Title from web page (viewed December 3, 2018)
650 0 $a Tessellations (Mathematics) $3 709981
650 0 $a Fractals. $3 189086
650 0 $a Algebraic spaces. $3 616584
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