xxiv List of Figures 5.8 Dragonfly . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 6.1 The graph of y = sin (etan x ). . . . . . . . . . . . . . . . . . . . . . 124 7.1 Anglers and fish in MICROSOFT EXCEL . . . . . . . . . . 146 7.2 Anglers and fish, represented by cherry stones. . . . 146 7.3 Pons Asinorum. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152 7.4 The Bedbug Problem. . . . . . . . . . . . . . . . . . . . . . . . . . . 154 7.5 The Bedbug Problem: a solution. . . . . . . . . . . . . . . . . 155 7.6 For Problem 8: two sheets of paper. . . . . . . . . . . . . . . 162 7.7 For Problem 9: Yin and Yang. . . . . . . . . . . . . . . . . . . . 163 7.8 A problem of two overlapping squares. . . . . . . . . . . . 165 8.1 A frequency-time pattern for sonars. . . . . . . . . . . . . . 172 8.2 A reflected signal. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 172 8.3 Another reflected signal. . . . . . . . . . . . . . . . . . . . . . . . . 173 8.4 How do we distinguish between the reflected signals? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 173 8.5 A Welch-Costas array. . . . . . . . . . . . . . . . . . . . . . . . . . . 174 8.6 The Great Wave off Kanagawa by Katsushika Hokusai . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 178 10.1 Interlocked non-convex figures.. . . . . . . . . . . . . . . . . . 198 10.2 “Shake and take” does not work. . . . . . . . . . . . . . . . . 199 10.3 For the Coins Problem. . . . . . . . . . . . . . . . . . . . . . . . . . 199 10.4 The Coins Problem: a solution. . . . . . . . . . . . . . . . . . . 200 10.5 A solution of the Soap Bubbles Problem. . . . . . . . . . 202 10.6 Another solution of the Round Coins Problems. . . . 203 10.7 The City of N-sk Problem: a solution. . . . . . . . . . . . . 203 10.8 Holes in the Cheese.. . . . . . . . . . . . . . . . . . . . . . . . . . . . 204 10.9 The Post Office Conjecture: a counterexample. . . . . 208 10.10 Columns of Ramses III at Medinat Habu . . . . . . . . . 210 10.11 True and false arches. . . . . . . . . . . . . . . . . . . . . . . . . . . 210 10.12 Mescit in Agzıkarahan ˇ . . . . . . . . . . . . . . . . . . . . . . . . . 211 10.13 Agzıkarahan, ˇ Main Gate . . . . . . . . . . . . . . . . . . . . . . . 212 10.14 Interlocked cubes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 213 10.15 Ali Nesin . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 213 11.1 The Tower of Babel . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 221 11.2 Making the Chinese Junk, I. . . . . . . . . . . . . . . . . . . . . 224 11.3 Making the Chinese Junk, II . . . . . . . . . . . . . . . . . . . . 225 11.4 Folding. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 228 11.5 Regular hexagon. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 229 11.6 Unfinished mural, Ancient Egypt . . . . . . . . . . . . . . . . 232 11.7 An installation by Bernar Venet . . . . . . . . . . . . . . . . . 239 12.1 Snowflakes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 265
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