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Symmetries of Culture

Symmetries of Culture
Author: Dorothy K. Washburn
Publisher: Courier Dover Publications
Total Pages: 323
Release: 2021-02-17
Genre: Art
ISBN: 0486842320

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This groundbreaking collaboration between an anthropologist and a mathematician constitutes both a collection of symmetrical pattern designs from many cultures and a monograph on pattern design and the classification of symmetrical patterns. Intended for art historians, anthropologists, classical archaeologists, and others interested in the study of material culture, it can also serve as a reference and inspiration for the use of symmetrical patterns in art and design. "This richly illustrated study brings to light dozens of intriguing examples of symmetrical designs, for instance, in a Zulu loincloth, a Japanese chopstick case, a New England quilt, a Tibetan 'Plaque of a Thousand Lamas,' a Hawaiian water gourd. The same pattern found in a fantastical drawing of lizards by M. C. Escher is echoed in a Fijian basket lid and an Egyptian wall mosaic." — Publishers Weekly "This extremely useful guide to classifying plane pattern designs … is extensively illustrated with carvings, textiles, baskets, tiles, and poetry, which are used as examples of various symmetry patterns." — American Anthropologist "An impressive book—both in terms of its physical appearance and its content ... will undoubtedly become the major reference on the analysis of patterns in terms of symmetry properties." — Antiquity


Symmetry Comes of Age

Symmetry Comes of Age
Author: Dorothy Koster Washburn
Publisher: University of Washington Press
Total Pages: 396
Release: 2004
Genre: Art
ISBN: 9780295983660

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The two volumes together offer readers a new window into the communicative importance of design."--Jacket.


Symmetries of Culture

Symmetries of Culture
Author: Dorothy Koster Washburn
Publisher:
Total Pages: 299
Release: 1988
Genre: Design
ISBN: 9780295965864

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A very appealing book. It deals with the analysis of repetitive patterns in decorative art as a means of classifying designs. A collaboration by an anthropologist (Washburn, U. Rochester) and a mathematician (Crowe, U. of Wisc.), it makes only the gentlest use of math/geometry, the principles of which are presented. These allow a discussion of color symmetry, one- and two-dimensional patterns, and finite design. History and problems of classification are covered. An important work. Annotation(c) 2003 Book News, Inc., Portland, OR (booknews.com)


The Symmetries of Things

The Symmetries of Things
Author: John H. Conway
Publisher: CRC Press
Total Pages: 442
Release: 2016-04-05
Genre: Mathematics
ISBN: 1439864896

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Start with a single shape. Repeat it in some way—translation, reflection over a line, rotation around a point—and you have created symmetry. Symmetry is a fundamental phenomenon in art, science, and nature that has been captured, described, and analyzed using mathematical concepts for a long time. Inspired by the geometric intuition of Bill Thurston and empowered by his own analytical skills, John Conway, with his coauthors, has developed a comprehensive mathematical theory of symmetry that allows the description and classification of symmetries in numerous geometric environments. This richly and compellingly illustrated book addresses the phenomenological, analytical, and mathematical aspects of symmetry on three levels that build on one another and will speak to interested lay people, artists, working mathematicians, and researchers.


Embedded Symmetries, Natural and Cultural

Embedded Symmetries, Natural and Cultural
Author: Dorothy Koster Washburn
Publisher: UNM Press
Total Pages: 208
Release: 2004
Genre: Art
ISBN: 9780826331526

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Scholars representing several disciplines examine how patterns and symmetry are expressed and resonate in a variety of man's creations and cultures.


Why Beauty Is Truth

Why Beauty Is Truth
Author: Ian Stewart
Publisher:
Total Pages: 306
Release: 2008-04-29
Genre: Mathematics
ISBN: 0465082378

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Physics.


Handbook of Cognitive Mathematics

Handbook of Cognitive Mathematics
Author: Marcel Danesi
Publisher: Springer Nature
Total Pages: 1392
Release: 2022-10-31
Genre: Mathematics
ISBN: 3031039459

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Cognitive mathematics provides insights into how mathematics works inside the brain and how it is interconnected with other faculties through so-called blending and other associative processes. This handbook is the first large collection of various aspects of cognitive mathematics to be amassed into a single title, covering decades of connection between mathematics and other figurative processes as they manifest themselves in language, art, and even algorithms. It will be of use to anyone working in math cognition and education, with each section of the handbook edited by an international leader in that field.


Symmetry: A Very Short Introduction

Symmetry: A Very Short Introduction
Author: Ian Stewart
Publisher: OUP Oxford
Total Pages: 152
Release: 2013-05-30
Genre: Mathematics
ISBN: 0191652741

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In the 1800s mathematicians introduced a formal theory of symmetry: group theory. Now a branch of abstract algebra, this subject first arose in the theory of equations. Symmetry is an immensely important concept in mathematics and throughout the sciences, and its applications range across the entire subject. Symmetry governs the structure of crystals, innumerable types of pattern formation, how systems change their state as parameters vary; and fundamental physics is governed by symmetries in the laws of nature. It is highly visual, with applications that include animal markings, locomotion, evolutionary biology, elastic buckling, waves, the shape of the Earth, and the form of galaxies. In this Very Short Introduction, Ian Stewart demonstrates its deep implications, and shows how it plays a major role in the current search to unify relativity and quantum theory. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.


At Home In The World

At Home In The World
Author: John Hill
Publisher:
Total Pages: 302
Release: 2022-02-07
Genre:
ISBN: 9781685030223

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This work offers a profound philosophical and psychological exploration of the multi-dimensional significance of home and the interwoven themes of homelessness and homesickness and contemporary global culture.


Lunda Geometry: Mirror Curves, Designs, Knots, Polyominoes, Patterns, Symmetries

Lunda Geometry: Mirror Curves, Designs, Knots, Polyominoes, Patterns, Symmetries
Author: Paulus Gerdes
Publisher: Lulu.com
Total Pages: 204
Release: 2008-06-26
Genre: Art
ISBN: 1435726294

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The book "Lunda Geometry" explains how the mathematical concepts of mirror curves and Lunda-designs were discovered in the context of the author's research of 'sona', illustrations traditionally made in the sand by Cokwe storytellers from eastern Angola (a region called Lunda) and neighboring regions of Congo and Zambia. Examples of mirror curves from several cultures are presented. Lunda-designs are aesthetically attractive and display interesting symmetry properties. Examples of Lunda-patterns and Lunda-polyominoes are presented. Some generalizations of the concept of Lunda-design are discussed, like hexagonal Lunda-designs, Lunda-k-designs, Lunda-fractals, and circular Lunda-designs. Lunda-designs of Celtic knot designs are constructed.Several chapters were published in journals like 'Computers & Graphics' (Oxford), 'Visual Mathematics' (Belgrade), and 'Mathematics in School' (UK).