- Page 1 and 2: MYSTERIES OF THE EQUILATERAL TRIANG
- Page 3 and 4: Dedicated to our beloved Beta Katze
- Page 5 and 6: Preface v PREFACE Welcome to Myster
- Page 7: Contents Preface . . . . . . . . .
- Page 10 and 11: 2 History Lepenski Vir, located on
- Page 14 and 15: 6 History Figure 1.11: Chinese Wind
- Page 16 and 17: 8 History Wasan which was usually s
- Page 18 and 19: 10 History Figure 1.17: Pythagorean
- Page 20 and 21: 12 History Figure 1.24: Five Platon
- Page 22 and 23: 14 History Figure 1.26: Eight Conve
- Page 24 and 25: 16 History (a) (b) (c) Figure 1.31:
- Page 26 and 27: 18 History The equilateral triangle
- Page 28 and 29: 20 History Figure 1.36: Gothic Maso
- Page 30 and 31: 22 History Figure 1.40: Vesica Pisc
- Page 32 and 33: 24 History Figure 1.43: Alchemical
- Page 34 and 35: 26 History Modern sculpture has not
- Page 36 and 37: 28 History (a) (b) Figure 1.49: Tri
- Page 38 and 39: 30 Mathematical Properties The rela
- Page 40 and 41: 32 Mathematical Properties Figure 2
- Page 42 and 43: 34 Mathematical Properties Figure 2
- Page 44 and 45: 36 Mathematical Properties Figure 2
- Page 46 and 47: 38 Mathematical Properties 2.14(b)
- Page 48 and 49: 40 Mathematical Properties - Combin
- Page 50 and 51: 42 Mathematical Properties Figure 2
- Page 52 and 53: 44 Mathematical Properties be the s
- Page 54 and 55: 46 Mathematical Properties Figure 2
- Page 56 and 57: 48 Mathematical Properties Figure 2
- Page 58 and 59: 50 Mathematical Properties Figure 2
- Page 60 and 61: 52 Mathematical Properties Figure 2
- Page 62 and 63:
54 Mathematical Properties Figure 2
- Page 64 and 65:
56 Mathematical Properties (a) (b)
- Page 66 and 67:
58 Mathematical Properties Property
- Page 68 and 69:
60 Mathematical Properties Figure 2
- Page 70 and 71:
62 Mathematical Properties Figure 2
- Page 72 and 73:
64 Mathematical Properties (a) (b)
- Page 74 and 75:
66 Mathematical Properties Figure 2
- Page 76 and 77:
68 Mathematical Properties Figure 2
- Page 78 and 79:
70 Mathematical Properties (a) (b)
- Page 80 and 81:
72 Mathematical Properties The best
- Page 82 and 83:
74 Mathematical Properties in colum
- Page 84 and 85:
76 Mathematical Properties Figure 2
- Page 86 and 87:
Chapter 3 Applications of the Equil
- Page 88 and 89:
80 Applications Application 2 (Sate
- Page 90 and 91:
82 Applications The ei are the proj
- Page 92 and 93:
84 Applications (a) Figure 3.9: (a)
- Page 94 and 95:
86 Applications Figure 3.11: Warren
- Page 96 and 97:
88 Applications Figure 3.14: Maxwel
- Page 98 and 99:
90 Applications Figure 3.17: De Fin
- Page 100 and 101:
92 Applications (a) (b) Figure 3.20
- Page 102 and 103:
94 Applications (a) Figure 3.23: Lo
- Page 104 and 105:
96 Applications Application 25 (Squ
- Page 106 and 107:
98 Applications (a) Figure 3.28: Na
- Page 108 and 109:
100 Applications (a) (b) (c) (d) Fi
- Page 110 and 111:
102 Applications The eigenstructure
- Page 112 and 113:
104 Mathematical Recreations Figure
- Page 114 and 115:
106 Mathematical Recreations Figure
- Page 116 and 117:
108 Mathematical Recreations (a) (b
- Page 118 and 119:
110 Mathematical Recreations Figure
- Page 120 and 121:
112 Mathematical Recreations of pla
- Page 122 and 123:
114 Mathematical Recreations Figure
- Page 124 and 125:
116 Mathematical Recreations Figure
- Page 126 and 127:
118 Mathematical Recreations Figure
- Page 128 and 129:
120 Mathematical Recreations and n
- Page 130 and 131:
122 Mathematical Recreations Figure
- Page 132 and 133:
124 Mathematical Recreations (a) Fi
- Page 134 and 135:
126 Mathematical Recreations Figure
- Page 136 and 137:
128 Mathematical Recreations Recrea
- Page 138 and 139:
130 Mathematical Competitions Probl
- Page 140 and 141:
132 Mathematical Competitions Figur
- Page 142 and 143:
134 Mathematical Competitions Figur
- Page 144 and 145:
136 Mathematical Competitions Probl
- Page 146 and 147:
138 Mathematical Competitions Probl
- Page 148 and 149:
140 Mathematical Competitions Probl
- Page 150 and 151:
142 Mathematical Competitions Figur
- Page 152 and 153:
144 Mathematical Competitions Figur
- Page 154 and 155:
146 Mathematical Competitions Figur
- Page 156 and 157:
Chapter 6 Biographical Vignettes In
- Page 158 and 159:
150 Biographical Vignettes Forms wh
- Page 160 and 161:
152 Biographical Vignettes Apolloni
- Page 162 and 163:
154 Biographical Vignettes He disco
- Page 164 and 165:
156 Biographical Vignettes He fell
- Page 166 and 167:
158 Biographical Vignettes give the
- Page 168 and 169:
160 Biographical Vignettes Vignette
- Page 170 and 171:
162 Biographical Vignettes Swiss 10
- Page 172 and 173:
164 Biographical Vignettes sität B
- Page 174 and 175:
166 Biographical Vignettes for Eucl
- Page 176 and 177:
168 Biographical Vignettes ellipse
- Page 178 and 179:
170 Biographical Vignettes Schwarz
- Page 180 and 181:
172 Biographical Vignettes the numb
- Page 182 and 183:
174 Biographical Vignettes a conseq
- Page 184 and 185:
176 Biographical Vignettes topologi
- Page 186 and 187:
178 Biographical Vignettes Vignette
- Page 188 and 189:
180 Biographical Vignettes and Recr
- Page 190 and 191:
182 Biographical Vignettes meeting)
- Page 192 and 193:
184 Biographical Vignettes Figure 6
- Page 194 and 195:
186 Biographical Vignettes Figure 6
- Page 196 and 197:
Appendix A Gallery of Equilateral T
- Page 198 and 199:
190 Gallery Figure A.8: ET Wing Fig
- Page 200 and 201:
192 Gallery Figure A.18: ET Bowling
- Page 202 and 203:
194 Gallery Figure A.28: ET Escher
- Page 204 and 205:
196 Gallery Figure A.36: ET Street
- Page 206 and 207:
198 Gallery Figure A.44: ET Tragedy
- Page 208 and 209:
200 Bibliography [12] J. Aubrey, Br
- Page 210 and 211:
202 Bibliography [42] R. Calinger,
- Page 212 and 213:
204 Bibliography [74] J.-P. Delahay
- Page 214 and 215:
206 Bibliography [106] J. A. Flint,
- Page 216 and 217:
208 Bibliography [138] M. Gardner,
- Page 218 and 219:
210 Bibliography [169] H. Hellman,
- Page 220 and 221:
212 Bibliography [199] M. Kraitchik
- Page 222 and 223:
214 Bibliography [229] T. H. O’Be
- Page 224 and 225:
216 Bibliography [260] B. Russell,
- Page 226 and 227:
218 Bibliography [290] S. K. Stein,
- Page 228 and 229:
220 Bibliography [319] A. Weil, Num
- Page 230 and 231:
222 Index Barbier’s Theorem 56 ba
- Page 232 and 233:
224 Index Cruise, Tom 24 Crusades 2
- Page 234 and 235:
226 Index ture 157 Fermat’s Princ
- Page 236 and 237:
228 Index house (triangular) 197 Hu
- Page 238 and 239:
230 Index MacMahon, Percy Alexander
- Page 240 and 241:
232 Index oriented triangles 70 ori
- Page 242 and 243:
234 Index Riemann Surfaces 51, 167
- Page 244 and 245:
236 Index Tartaglian Measuring Puzz
- Page 246:
238 Index Weber, Wilhelm 164 Weiers