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

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

The Topos of Music

The Topos of Music
Author: Guerino Mazzola
Publisher: Birkhäuser
Total Pages: 1310
Release: 2012-12-06
Genre: Mathematics
ISBN: 303488141X

With contributions by numerous experts

The Topos of Music I: Theory

The Topos of Music I: Theory
Author: Guerino Mazzola
Publisher: Springer
Total Pages: 675
Release: 2018-03-28
Genre: Mathematics
ISBN: 3319643649

This is the first volume of the second edition of the now classic book “The Topos of Music”. The author explains the theory's conceptual framework of denotators and forms, the classification of local and global musical objects, the mathematical models of harmony and counterpoint, and topologies for rhythm and motives.

Symmetries of Nature

Symmetries of Nature
Author: Klaus Mainzer
Publisher: Walter de Gruyter
Total Pages: 696
Release: 2013-12-02
Genre: Philosophy
ISBN: 3110886936

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

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

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

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

Schoenberg's Twelve-Tone Music

Schoenberg's Twelve-Tone Music
Author: Jack Boss
Publisher: Cambridge University Press
Total Pages: 467
Release: 2014-10-02
Genre: Literary Criticism
ISBN: 1107046866

Jack Boss presents detailed analyses of Arnold Schoenberg's twelve-tone pieces, bringing the composer's 'musical idea' - problem, elaboration, solution - to life.

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

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.

Symmetry: A Very Short Introduction

Symmetry: A Very Short Introduction
Author: Ian Stewart
Publisher: OUP Oxford
Total Pages: 161
Release: 2013-05-30
Genre: Mathematics
ISBN: 0191652741

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.