Islamic Design: A Mathematical Approach

Brian Wichmann is the author of a CD/booklet published by World Scientific on geometric patterns. He obtained a DPhil (Oxon) in Mathematics, then had a career in software engineering research at NPL before starting a retirement project of collecting all known classical Islamic geometric patterns. The collection is at tilingsearch.org. David Wade is the author of a number of books about Islamic Art and related topics. He is also responsible for the web site patterninislamicart.com which has over 4,000 photographs of patterns in Islamic Art. This is a major source of photographs for the book.

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.

"I am delighted that a book like this, which offers substantial contributions to the literature ... has been published. It provides inspiration for others, including undergraduate mathematics students, who are seeking interdisciplinary topics for independent research." (Joel Haack, MAA Reviews, August 18, 2019)

“I am delighted that a book like this, which offers substantial contributions to the literature … has been published. It provides inspiration for others, including undergraduate mathematics students, who are seeking interdisciplinary topics for independent research.” (Joel Haack, MAA Reviews, August 18, 2019)