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    <subfield code="b">the system of geometric design. /</subfield>
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    <subfield code="a">Includes bibliographical references (p. 134) and index.</subfield>
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    <subfield code="a">Contents:
Preface 6 --
Foreword 8 --
Editors&#x2019; 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 --
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