Page 442 - J. C. Turner - History and Science of Knots

Index 437

Knot (cont.) knot diagram
Tucked Girth Hitch, 165 amphitypical region, 214
Tumbling Thief, 303, 307 monotypical region, 214
Turk's Head, 282, 287 knot materials
Twisted Hitch, 172 baleen, 114
Wake, 385 grass, 116
Wale, 140 sinew, 115
Water, 201 thong, 116
Weaver's, 301 knot strength, 185, 187
Whatnot, 303 relative, 185
Wheel, 280 knot strength `laws', 193
Yippee aYe, 303 knot strength efficiency, 185
Zeppelin, 303 knot theories, 205, 261-294
knot Alexander's influence, 228
badge, 390 and chemistry, 219
complement group, 225 applications, 207
complement, oriented, 229 braids, 207
decorative, 181 chronology, 207
definition, 205 Dehn presentation, 226
efficiencies, 190 early days, 207
encyclopedias, 270 Max Dehn's work, 226
equivalences, 262 Schaake's braiding theory, 280
failures, 182 the future?, 252
forms, 4-crossing, 278 topological, 315
functions, 273 vortices, 219
group, 230 knot theory/braid theory, 241
in sea mammal hide, 118 Knots
invariants, 214 China, 90
lore, 263 Japan, 90
mathematical definition, 234 Korea, 90
multi-stranded, 181 knots
problem, the, 223 4th century, 44
projection, 22 ancient drawings, 209
Quechua word, 74 Ancient Egyptian, 43
reference point, 23 and swamps, 31
Science, 263 archaeological excavations, 44
security, 199 archaeologist's view, 31
single-stranded, 181 as badges, 390
space, 251 as rope problems, 109
strength testing, 197 at sea, 135-146
tangle, 235 basic classification, 268
Knot class, characterizing of, 290 betrothal, 398