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3 | (14) |
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3 | (1) |
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4 | (1) |
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1.3 Islam and the Civilisations of the Ancient World |
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4 | (1) |
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1.4 The Umayyads and Damascus |
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5 | (1) |
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1.5 The Abbasids and Baghdad |
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5 | (1) |
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1.6 The Disintegration of the Caliphate |
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6 | (1) |
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7 | (1) |
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8 | (2) |
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1.9 The Islamic Revanche: The Ilkhanids and Timurids |
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10 | (1) |
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1.10 The Early-Modern Islamic States |
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11 | (2) |
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1.11 Spain and the Maghreb |
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13 | (1) |
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1.12 Imperialist Encroachment and Islamic Decline |
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14 | (3) |
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2 The Scientific Contribution |
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17 | (8) |
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17 | (2) |
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2.2 The Pythagorean/Platonic Tradition |
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19 | (1) |
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20 | (1) |
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2.4 Religious Revival, Scientific Retreat |
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21 | (1) |
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2.5 Continuity and Transmutation |
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22 | (3) |
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3 The Religious Dimension |
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25 | (6) |
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3.1 `There Is No God but God' |
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25 | (1) |
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26 | (1) |
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27 | (1) |
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3.4 Islamic Identity and the Image Controversy |
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27 | (1) |
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3.5 Mizan, Symmetry and Cosmic Equilibrium |
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28 | (1) |
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3.6 The Islamic Paradise (al-Djanna) |
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29 | (2) |
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31 | (10) |
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4.1 Consistency and Variety |
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31 | (1) |
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4.2 Symmetry and Geometry |
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32 | (2) |
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34 | (1) |
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4.4 Baghdad, Samarra and Political Fragmentation; 8th-10th Centuries |
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34 | (1) |
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4.5 Stylistic Maturity; 11th-12th Centuries |
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35 | (1) |
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4.6 The Islamic Decorative Canon |
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36 | (1) |
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37 | (1) |
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4.8 The Role of Paper in Islamic Art and Architecture |
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38 | (3) |
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41 | (10) |
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41 | (1) |
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42 | (1) |
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5.3 Ceramic Tiles and Ceramic Mosaic |
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43 | (2) |
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45 | (1) |
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45 | (2) |
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47 | (1) |
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5.7 Court Patronage and Cottage Industry |
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48 | (3) |
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51 | (12) |
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51 | (1) |
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51 | (2) |
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53 | (1) |
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53 | (1) |
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54 | (1) |
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55 | (1) |
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56 | (2) |
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58 | (5) |
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Part II Mathematical Analysis |
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63 | (6) |
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63 | (6) |
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64 | (5) |
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69 | (6) |
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75 | (12) |
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10 Octagonal Tiles with a Large Star |
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87 | (16) |
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87 | (6) |
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10.1.1 Adding Octagonal Tiles |
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88 | (5) |
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93 | (6) |
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99 | (4) |
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103 | (14) |
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105 | (4) |
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109 | (1) |
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109 | (3) |
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112 | (2) |
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11.5 Interlace Path Tracing |
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114 | (3) |
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117 | (12) |
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117 | (2) |
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12.2 Variable Diamond Patterns |
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119 | (2) |
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12.3 Fixed-Size Diamond Patterns |
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121 | (1) |
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12.4 Adding a 5-Pointed Star |
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121 | (3) |
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12.5 Another Simple Tile Set |
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124 | (4) |
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12.6 Some Erratic Patterns |
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128 | (1) |
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129 | (8) |
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13.1 An Example from the Alhambra |
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129 | (2) |
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131 | (1) |
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132 | (3) |
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135 | (1) |
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136 | (1) |
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137 | (14) |
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137 | (2) |
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14.2 Simple Islamic Designs |
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139 | (1) |
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14.3 Simple Islamic Designs Without Stars |
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139 | (1) |
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14.4 Simple Islamic Designs with a Single Rosette |
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140 | (2) |
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14.5 Designs with Two Rosettes |
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142 | (4) |
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14.6 Some More Complex Designs |
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146 | (1) |
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14.7 A Motif with Two Symmetries |
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147 | (4) |
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151 | (16) |
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151 | (1) |
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152 | (1) |
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153 | (2) |
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155 | (2) |
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15.5 A Complex Issue to Resolve |
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157 | (3) |
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15.6 A Complex Pattern: Darb-I Imam Shrine |
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160 | (1) |
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15.7 A Complex Pattern: Seyyed Mosque |
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160 | (7) |
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16 Two Mamluk Masterpieces |
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167 | (16) |
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16.1 The Trigonometric Method |
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169 | (3) |
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172 | (3) |
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175 | (2) |
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16.4 A Second Mamluk Masterpiece |
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177 | (6) |
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183 | (8) |
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183 | (1) |
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184 | (1) |
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185 | (1) |
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17.4 The Geometric Time-Line |
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186 | (2) |
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17.5 Pattern Type by Region |
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188 | (1) |
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17.6 A Summary of Methods |
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189 | (2) |
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190 | (1) |
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17.6.2 Incomplete Analysis |
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190 | (1) |
Appendix A The Symmetry of a Tiling |
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191 | (20) |
Appendix B Key Dates |
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211 | (2) |
Appendix C Glossary |
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213 | (2) |
Appendix D Copyright |
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215 | (2) |
References |
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217 | (4) |
Index |
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221 | |