Divided Spheres: Geodesics and the Orderly Subdivision of the Sphere

The Second Edition of "Spherical Tessellations" includes a new Foreword by Joseph Clinton, a chapter on optimal single-edge hexagonal tessellations by Chris Kitrick, an expanded history of spherical subdivision, and new applications in science, product design, architecture, and entertainment. It also features updated geodesic algorithms and full-color spherical illustrations.

\n Format: Hardback
\n Length: 454 pages
\n Publication date: 19 August 2021
\n Publisher: Taylor & Francis Ltd
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The Second Edition of "Spherical Tessellations: Form and Function" is a comprehensive and updated resource for anyone interested in the mathematical and architectural beauty of spherical shapes. Authored by renowned mathematician and architect Christopher Kitrick, this edition offers a wealth of new information and insights into the world of spherical tessellations.

In the new Foreword by Joseph Clinton, a life-long collaborator of Buckminster Fuller, readers gain a deeper understanding of the historical and theoretical significance of spherical tessellations. Clinton highlights the groundbreaking work of Fuller and his vision for a more sustainable and harmonious world through the application of spherical design principles.

The book begins with a comprehensive introduction to spherical tessellations, covering their history, mathematical foundations, and applications. Kitrick explains the basic concepts and techniques involved in creating spherical designs, including the use of spherical coordinates and the principles of spherical geometry. He also discusses the different types of spherical tessellations, such as regular and irregular polygons, and their properties and applications.

One of the key features of this edition is a new chapter by Kitrick on the mathematical techniques for developing optimal single-edge hexagonal tessellations, of varying density, with the smallest edge possible for a particular topology. Kitrick suggests ways of comparing the levels of optimization of these tessellations and discusses their applications in science, product design, architecture, and entertainment.

The book also includes an expanded history of the evolution of spherical subdivision methods, which have been used to create intricate and complex spherical designs. Kitrick explores the contributions of mathematicians and architects throughout history and highlights the latest advancements in spherical subdivision techniques.

In addition to the theoretical discussions, the Second Edition of "Spherical Tessellations: Form and Function" features new full-color spherical illustrations created using DisplaySphere. These illustrations aid readers in visualizing and comparing the various tessellations presented in the book, making it easier to understand the complex geometric relationships and patterns involved.

The updated Bibliography with references to the most recent advancements in spherical subdivision methods provides readers with a valuable resource for further exploration.

Overall, the Second Edition of "Spherical Tessellations: Form and Function" is a must-read for anyone interested in the mathematical and architectural beauty of spherical shapes. With its comprehensive coverage, insightful discussions, and stunning illustrations, this book offers a deeper understanding of the potential of spherical design and its applications in a wide range of fields. Whether you are a mathematician, architect, designer, or simply a curious reader, this edition will inspire and educate you.

\n Weight: 1162g\n
Dimension: 181 x 262 x 30 (mm)\n
ISBN-13: 9780367680039\n
Edition number: 2 New edition\n