Page 322 - J. C. Turner - History and Science of Knots
P. 322

312                     History and Science of Knots
































                Key:
                             f              tuck one wend

                                            tuck one stand

                             ^----- a shuff le or shunt
                                            of adjacent knot parts
                                - swap a wend & its stand




                                 Fig. 7. A Map of the Bends
              Using this map, trambles could be planned in advance. Where gaps ex-
          isted unknown bends might be deduced. For example, there must be a looking-
          glass land containing the same bends (but with opposite handedness) and the
          dotted lines hint at simplified connections to this other uncharted territory.

          The Tramble Talisman
          But a two-dimensional map of the bends could not cope with the rich com-
          plexity of trambling. The Alphabend too (although twice amended) was soon
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