Islamic Design: A Mathematical Approach

• Main Authors: Wichmann, Brian (Author, http://id.loc.gov/vocabulary/relators/aut), Wade, David (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2017.
• Edition: 1st ed. 2017.
• Series: Mathematics and the Built Environment, 2
• Subjects: Geometry.; Civilization-History.; Cultural History.

This book deals with the genre of geometric design in the Islamic sphere. Part I presents an overview of Islamic history, its extraordinary spread from the Atlantic to the borders of China in its first century, its adoption of the cultural outlook of the older civilisations that it conquered (in the...

Table of Contents:

• Foreword
• I Cultural Context
• 1 A History
• 2 The Scientific Contribution
• 3 Religious Dimension
• 4 The Evolution of Style
• 5 Materials and Mediums
• 6 Countries and Regions
• II Mathematical Analysis
• 7 Introduction
• 8 A Worked Example
• 9 An Octagonal Set
• 10 Octagonal Tiles with a Large Star
• 11 Lines and Edges
• 12 Decagonal Patterns
• 13 What Is Correct?
• 14 6-fold Delights
• 15 Two Level Patterns
• 16 Two Mamluk Masterpieces
• 17 Conclusions
• A The Symmetry of a Tiling
• B Key Dates
• C Glossary
• D Copyright.