1 Art of Mathematics 1 --
2 How Many Guards Does an Art Gallery Need? 4 --
3 Aspects of Aspect Ratios 8 --
5 How to Sing in Tune 13 --
7 Impossible Beliefs 17 --
8 Xerography - Déjà Vu All Over Again 19 --
9 Making Pages Look Nice 22 --
10 Sound of Silence 25 --
11 A Most Unusual Cake Recipe 28 --
12 Designing Roller Coasters 31 --
13 Beginning of the Universe Live on TV 35 --
14 Coping with Stress 38 --
17 Curved Triangles 45 --
18 Days of the Week 49 --
19 Case for Procrastination 52 --
20 Diamonds Are Forever 54 --
21 How Do You Doodle? 57 --
22 Why Are Eggs Egg-Shaped? 59 --
25 What the Eye Tells the Brain 67 --
26 Why the Flag of Nepal Is Unique 70 --
27 Indian Rope Trick 73 --
28 An Image That Defeats the Eye 76 --
29 It's Friday the Thirteenth Again 79 --
32 Hedging Your Bets 89 --
33 Infinity at the Theater 91 --
34 Shedding Light on (and with) the Golden Ratio 92 --
36 Mondrian's Golden Rectangles 97 --
37 Monkey Business with Tiles 100 --
38 Pleasing Sounds 103 --
39 New Tiles from Old 106 --
40 Nine-Degree Solution 108 --
41 Paper Sizes and a Book in the Hand 111 --
42 Penny Blacks and Penny Reds 114 --
43 Prime Time Cycles 119 --
44 If You Can't Measure It, Why Not? 122 --
46 Reverse Auctions: Going Backward for Christmas 127 --
47 Ritual Geometry for the Gods 130 --
49 Getting a Handle on Water Music: Singing in the Shower 135 --
50 Sizing Up Pictures 137 --
52 Let It Snow, Let It Snow Let It Snow 143 --
53 Some Perils of Pictures 146 --
54 Drinking with Socrates 149 --
55 Strange Formulae 151 --
56 Stylometry: Mathematics Rules the Waves 155 --
57 Getting It Together 158 --
58 When Time Has to Reckon with Space 160 --
59 How to Watch TV 163 --
60 Curvaceous Vase Profiles 165 --
61 All the Wallpapers in the Universe 168 --
63 Shattering Wineglasses 174 --
64 Let the Light Shine In 176 --
65 Special Triangles 178 --
66 Gnomons Are Golden 180 --
67 Upside-down World of Scott Kim 182 --
68 How Many Words Did Shakespeare Know? 184 --
69 Strange and Wonderful Law of First Digits 188 --
70 Organ Donor Preferences 192 --
71 Elliptical Whispering Galleries 194 --
72 Tunnel of Eupalinos 196 --
73 A Time-and-Motion Study of the Great Pyramid 200 --
74 Picking Out Tigers in the Bushes 203 --
75 Arc of the Second Law 205 --
76 On a Clear Day ... 207 --
77 Salvador Dali and the Fourth Dimension 209 --
79 Chernoff's Faces 214 --
80 Man from Underground 216 --
81 Mobius and His Band 219 --
82 Bells, the Bells 222 --
83 Following the Herd 225 --
84 Finger Counting 229 --
85 Other Newton's Hymn to the Infinite 231 --
86 Charles Dickens Was No Average Man; Florence Nightingale No Average Woman 234 --
87 Markov's Literary Chains 236 --
88 From Free Will to the Russian Elections 239 --
89 Playing with Supreme Beings 242 --
90 Drawbacks of Being a Know-all 244 --
91 Watching Paint Crack 245 --
92 Pop Music's Magic Equation 248 --
94 Jack the Dripper 255 --
95 Bridge of Strings 260 --
96 Lacing Problems 264 --
97 Where to Stand to Look at Statues 267 --
100 Shakespeare's Monkeys: The New Generation 276.