Islamic art and architecture : the system of geometric design. / txt
System of geometric design
Issam El-Said ; edited by Tarek El-Bouri & Keith Critchlow ; general editor, Salma Samar Damluji.
- First Edition
- 135 p. ill. (some col.) ; 34 cm. book
Index
Includes bibliographical references (p. 134) and index.
Contents: Preface 6 -- Foreword 8 -- Editors’ Introduction 10 -- I. Geometric Patterns in Islamic Art -- Introduction 14 -- Geometric Patterns based on the Square Repeat Unit and the Root Two Systems of Proportion -- The construction of the square repeat unit and the division of the circle into four, or multiples of four, equal parts 16 -- Determining the size of the square repeat unit 17 -- The grid patterns that underlie the root two system of proportion 19 -- Expressing the grid patterns in terms of a selected square module 20 -- Generating the grid patterns using numbers 22 -- Mathematical or numerical rationalization of the root two system of proportion 24 -- Graphical analyses of geometric patterns based on the root two system of proportion 30 -- Geometric Patterns based on the Hexagonal Repeat Unit and the Root Three System of Proportion -- The construction of the hexagonal repeat unit and the division of the circle into three, or multiples of three, equal parts 56 -- Determining the size of the hexagonal repeat unit 58 -- The gird-patterns that underlie the root three system of proportion and their measure 60 -- Mathematical or numerical rationalization of the root three system of proportion 66 -- Graphical analyses of geometric patterns based on the root three system of proportion 69 -- Geometric Patterns based on the Double Hexagon System of Proportion -- The grid patterns that underlie the double hexagon system of proportion 88 -- Graphical analyses of geometric patterns based on the double hexagon system of proportion 89 -- Notes 113 -- II Man and Measure -- Historical Background 116 -- Numerals and Arithmetic 117 -- Measuring and Dividing Dimensions -- a. Using the Circle 121 -- b. Using Square 124 -- Geometry and Irrational Numbers 128 -- The Remen and the Royal Cubit 130 -- The Grid Pattern 132 -- Notes 133 -- Bibliography 134 -- Index 135 --