Islamic Art and Architecture The System of Geometric Design
by El-Said, Issam-
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Summary
Author Biography
Table of Contents
| Preface | p. 6 |
| Foreword | p. 8 |
| Editors' Introduction | p. 10 |
| Geometric Patterns in Islamic Art | |
| Geometric Patterns based on the Square Repeat Unit and the Root Two System of Proportion | |
| The construction of the square repeat unit and the division of the circle into four, or multiples of four, equal parts | p. 16 |
| Determining the size of the square repeat unit | p. 17 |
| The grid-patterns that underlie the root two system of proportion | p. 19 |
| Expressing the grid-patterns in terms of a selected square module | p. 20 |
| Generating the grid-patterns using numbers | p. 22 |
| Mathematical or numerical rationalization of the root two system of proportion | p. 24 |
| Graphical analyses of geometric patterns based on the root two system of proportion | p. 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 | p. 56 |
| Determining the size of the hexagonal repeat unit | p. 58 |
| The grid-patterns that underlie the root three system of proportion and their measure | p. 60 |
| Mathematical or numerical rationalization of the root three system of proportion | p. 66 |
| Graphical analyses of geometric patterns based on the root three system of proportion | p. 69 |
| Geometric Patterns based on the Double Hexagon System of Proportion | |
| The grid-patterns that underlie the double hexagon system of proportion | p. 88 |
| Graphical analyses of geometric patterns based on the double hexagon system of proportion | p. 89 |
| Man and Measure | |
| Historical Background | p. 116 |
| Numerals and Arithmetic | p. 117 |
| Measuring and Dividing Dimensions | |
| Using the Circle | p. 121 |
| Using the Square | p. 121 |
| Geometry and Irrational Numbers | p. 128 |
| The Remen and the Royal Cubit | p. 130 |
| The Grid-Pattern | p. 132 |
| Bibliography | p. 134 |
| Index | p. 135 |
| Table of Contents provided by Blackwell. All Rights Reserved. |
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