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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