Ingenious Structures And Patterns A Study Of Mathematical Symmetry
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Ingenious Structures and Patterns: A Study of Mathematical Symmetry
Author: Pasquale De Marco
language: en
Publisher: Pasquale De Marco
Release Date: 2025-07-24
Symmetry is a fundamental concept that runs through all of mathematics and science. It is the study of patterns and structures that remain unchanged under certain transformations. Symmetry can be found in everything from the human body to the laws of physics. This book provides a comprehensive introduction to the study of symmetry. It covers a wide range of topics, from the basics of symmetry to its applications in the real world. The book is written in a clear and concise style, making it accessible to readers of all levels. The book is divided into ten chapters. The first chapter introduces the basic concepts of symmetry. The second chapter discusses group theory, which is a powerful tool for understanding symmetry. The third chapter explores symmetry in mathematics, including algebra, geometry, and number theory. The fourth chapter examines symmetry in physical systems, such as crystals, molecules, and solids. The fifth chapter discusses symmetry and conservation laws. The sixth chapter explores symmetry breaking. The seventh chapter examines applications of symmetry in the real world. The eighth chapter discusses symmetry and aesthetics. The ninth chapter explores frontiers in symmetry. This book is an essential resource for anyone who wants to learn more about symmetry. It is a valuable reference for mathematicians, scientists, engineers, artists, and anyone else who is interested in the beauty and power of symmetry. If you like this book, write a review!
Symmetry in Chaos
A classy rendering of chaos theory and symmetry mathematics illustrating recent understanding about the convergence between the two areas. Mathematicians Field and Golubitsky explain the relationship between chaos and symmetry, describing how chaotic process may eventually lead to symmetric patterns in a clear, understandable language and in color photographs reproducing computer images demonstrating the inherent pattern in apparent chaos. The authors compare these images with pictures from nature and art that, miraculously, mimic the computer patterns. Includes an appendix containing several BASIC programs enabling home computer owners to experiment with similar images. Annotation copyrighted by Book News, Inc., Portland, OR
Symmetries of Islamic Geometrical Patterns
... a major contribution to the world of science and of particular value to the documention of the culture of Islam. N Gedal ... a masterly account of the way in which art and science are combined into aesthetic beauty by the Islamic geometric designs and motifs which decorate much of the Eastern World. M Evans ... This book will allow readers to travel through time and space, from ancient ornaments to the most modern computer graphics patterns. C. Pickover Ever since the discovery of the existence of seventeen space groups in two dimensions by Fedorov in 1891, it has been speculated that all seventeen could be found in Islamic art. But it is in this book that this remarkable fact is for the first time detailed and analysed, with beautiful illustrations. Rarely is there such a thought-provoking blend of esthetics and geometry with abstraction. C N Yang Geometrical form. Here, mathematics combines with art and exhibits clearly its aesthetic appeal Islamic patterns provide a marvellous illustration of symmetry and Drs. Abas and Salman perform a useful service by taking this as their theme and blending it with ideas on computer graphics. Foreword by Michael Atiyah Abas and Salman have assembled a fascinating collection that combines art, history, culture, science, mathematics and philosophy. Their examples range from a 12th-century minaret in Uzbekistan via the Alhambra in Granada to modern computer graphics of Koranic calligraphy on dodecahedrons and tori. They conclude by speculating on the prospect of creating Islamic patterns in virtual reality, where 'a seeker after unity in science and art would be able to submerge himself or herself in exquisite Alhambras of the mind'.Judging by the evidence presented here, it would be an unforgettable experience. New Scien