Page 243 - The Ashley Book of Knots
P. 243

THE ASHLEY  BOOK  OF  KNOTS









                                                                                                                                                                                                                                 1312.  There  is  one  exception  to  this  "law":  knots  of  one  bight




                                                                                                                                                                                                                         may be tied with one strand and with any number of leads.




                                                                                                                                                                                                                                 This provides,  among other anomalies,  the  only  TURK'S-HEAD  in




                                                                                                                                                                                                                         which  the  number  of  leads  and  the  number  of  bights  is  equal




                                                                                                                                                                                                                          (IL  X  IB).




                                                                                                                                                                                                                                  1313.  The  same  knot  may  be  doubled  if  wished;  the  illustration




                                                                                                                                                1314                                                                     gives a FOUR-PLY KNOT of one lead and one bight.



                                                                                                                                                                                                                                  1314.  A  knot of three leads and one bight only is  here illustrated.




                        ,                                                                                                                                                                                                A  CENSUS  OF  ALL  SINGLE-LINE  TURK'S-HEADS  CoNTAINING  NOT  MORE



                                                                \                                  I                                                            I                               \                                                                                                  THAN  24  BIGHTS  AND  40 LEADS




                           I                                      \                             ,                                                             I                                   \                                                X  stands  for  an  impossible  knot;  all  others  may  be  tied.








                           J                                        \                          f                                                            I                                        \                                                                                                                                 NO. OF LEADS



                                                                                                                                                                                                                                                                                                                                         (.0)
                           I                                         \                        I                 I                                           I                                          I                                                                                   "3416789°")416789°"3416789°"34167890
                                                                                                                                                                                                                                                                                                       (.0)
                                                                                                                                                                                                                                                                                                                                                                            (3°)
                                                                                                                                                                                                                                                                                                                                                                                                               ( ... )

                          ]                                           I                       I                 q                                          I                                          I                                                                            •      IX  X            • • • • • • •  •                                               x  x  x  x  x                     •      x  x          »
                                                                                                                                                                                                                                                                                                                                                            •
                                                                                                                                                                                                                                                                                   •

                                                                                                                                                                                                                                                                                                                                                                                                         x
                                                                                                                                                                                                                                                                                                                                                                                                                   x
                                                                                                                                                                                                                                                                                    3
                          I                                           I                        I                (                                           I                                         I                                                                            4      • •  •  •  •  •                                            x      x  •          x  x      x          •      x  x  x  x              x
                                                                                                                                                                                                                                                                                                                                              • • • •
                                                                                                                                                                                                                                                                                                    • •
                                                                                                                                                                                                                                                                                                                                • •
                                                                                                                                                                                                                                                                                                                                                                                               •
                                                                                                                                                                                                                                                                                                                                                                                                                                 •
                                                                                                                                                                                                                                                                                                                                                                          x  x  x
                                                                                                                                                                                                                                                                                          IX
                                                                                                                                                                                                                                                                                                                         X
                                                                                                                                                                                                                                                                                                                  X
                                                                                                                                                                                                                                                                                                                                          •
                                                                                                                                                                                                                                                                                          •  •
                                                                                                                                                                                                                                                                                                                                                                                                                x
                                                                                                                                                                                                                                                                                                                         x
                                                                                                                                                                                                                                                                                                                                                                                               x
                                                                                                                                                                                                                                                                                                                                                                                                                                 "
                                                                                                                                                                                                                                                                                   S
                                                                                                                                                                                                     I
                          1                                           I                         \                                                             \                                    ,                                                                               6  xxxx                 •      XX"           X  xxx  x  xxx  x  xxx  x  xxx  x  xxx
                                                                                                  ,
                                                                                                                                                                                                                                                                                                                                                                                        x
                                                                                                                                                                                                                                                                                                                                                                x
                                                                                                                                                                                                                                                                                                                                                                                                                x
                                                                                                                                                                                                                                                                                          x
                                                                                                                                                                                                                                                                                                               x
                                                                                                                                                                                                                                                                                                                                       x
                                                                                                                                                                                                                                                                                    7
                                                                                                                                                                                                                                                                                                                                                                                 x
                                                                                                                                                                                                                                                                                   8  xx  x  x  x
                            I                                                                                                                                                                      ,                                                                               9      • •              •          x  x  x  x  x  x                      •      x      •  •                 x  x  x             •      x  x
                                                                                                                                                                                                                                                                                                                                          •
                                                                                                                                                                                                                                                                                                                                                                                    •
                                                                                                                                                                                                                                                                                                                                                                                                         •
                                                                                                                                                                                                                                                                                                                                                                x
                                                                                                                                                                                                                                                                                                                                x
                                                                                                                                                                                                                                                                                                                                                                                               x
                                                                                                                                                                                                                                                                                                                                                     x
                                                                                                                                                                                                                                                                                                                                                                          x
                                                                                                                                                                                                                                                                                                                                                                                                                    x
                                                                                                                                                                                                                                                                                                                                                                                                                              ~
                                                                                                                                                                                                                                                                         §       ••       •                       • • •                              •      •      x  xxx  x  x  x  xx.  X  l<
                            I                                                                                                                                                                                                                                                             xx  xx •                                     xxx
                                                                                                                                                                                                                                                                         -
                                                                                                                                                                                                                                                                                                                                                                   •
                                                                                                                                                                                                                                                                                                                                                                                                         X
                                                                                                                                                                                                                                                                                                                             X
                                                                                                                                                                                                                                                                                          xxxx  x  xxx  x  xxx  x  XXI  x  .xx  x  xxx  .X  xxx
                                                                                                                                                                                                                                                                                 .
                                                                                                                                                                                                                                                                                 "
                                                                                                    1)15                                                                                                                                                                '"       "        •                                        •                                             x                                            x
                                                                                                                                                                                                                                                                         ~
                                                                                                                                                                                                                                                                                   )
                                                                                                                                                                                                                                                                         0
                                                                                                                                                                                                                                                                                                    •
                                                                                                                                                                                                                                                                                                                                •  •
                                                                                                                                                                                                                                                                                                           xxx  x
                                                                                                                                                                                                                                                                        1-       ·s       xx     x  xx               .x  x             x  •          x  xxx  x                   • • •                x  .xx  x  X
                                                                                                                                                                                                                                                                                 '4
                                                                                                                                                                                                                                                                                                                                                                                                         •
                                                                                                                                                                                                                                                                                          •
                                                                                                                                                                                                                                                                                                                                                                          xx  x
                                                                                                                                                                                                                                                                                                                                                     x  xx
                                                                                                                                                                                                                                                                                                                                                                                                                              xx
                                                                                                                                                                                                                                                                                                                                                                                                                x.
                                                                                                                                                                                                                                                                                                                                                                                               x
                                                                                                                                                                                                                                                                                 .6  xx  x                 •      X      X  X  X  X  X  X  X  X                                  X      X  X  X  X  X  X
                                                                                                                                                                                                                                                                                 '7       x                                                      x                                                           x                   "
                                                                                                                                                                                                                                                                                 .8  XXXI:  x                     xxx  X  xxx  x  xxx  x  xxx                                                  •      xxx  x  xxx
                                                                                                                                                                                                                                                                                 19       x                                                             x                                                                 x
                                                                                                                                                                                                 ,                                                                               '0       xx  x.x  x  x                         •      .xx           •      x  x  xxx  x                       •      x  XXI  x  X
                                                                                                                                                                                                                                                                                          X
                                                                                                                                                                                                                                                                                 "
                                                                                                                                                                 I                                                                                                               II  X.          •         xx  x                x      ••  •                    x         •         xx         •         X  x •               X
                                                                                                      I                                                                                           \                                                                              I)  X              • • •                xxx  x               •      x  x  x  x  x                      •      x  xxx  x  X  x
                                                                                                                                                                                                                                                                                                                                                                      •
                                                                                                   I                I                                       I                                        \                                                                           '4      ,xxx  x  x x'x                         •      xxx  x  .xx  x  xxx                                    •      .xx  x  xxx
                                                                                                                 I                                       I
                                                                                                                I                                                                                      \                          All TURK'S-HEADS of two leads are OVERHAND  and MULTIPLE OVERHAND
                                                                                                                                                        I                                                                  KNOTS.

                                                                                                {              f                                                                                        I                         A  good practical way to plan TURK'S-HEADS  is  to take a  prime number


                                                                                                (             (                                        l


                                                                                                I                                                                                                       f                  for the larger dimensions  (5,  7,  II,  13,  17,  19,  23,  29,  37,41, etc.)  and to

                                                                                                               I                                        \                                               (

                                                                                                \                                                                                                                          use  any smaller number, either odd or even, for the other dimension.
                                                                                                                I                                         \                                            (

                                                                                                   \               ~                                                                                                               1315.  The simplest method of enlarging or raising  TURK'S-HEADS




                                                                                                                                                                                                                                                                                                                                                                                                                                 I
                                                                                                      \                                                                                                I                   to larger dimensions is  based on KNOTS  ~ 1303  and  ~ 305.

                                                                                                         \.                                                                                          I                            After first tying a  3L  X  ~ TURK'S-HEAD  KNOT  (~I305) very loosely,




                                                                                                                                                                                                                           bring the left bight under the next and  down to the center position and
                                                                                                    1)16

                                                                                                                                                                                                                           continue to plat, leading alternate sides under to the center, exactly as in




                                                                                                                                                                                                                           ordinary THREE-STRAND  SINNET.  One end and both bights are platted and



                                                                                                                                                                                                                           the  working  end  has  to  be  disentangled  from  time  to  time  from  the



                                                                                                                                                                                                                           bights. A  new knot is completed each time the working end is brought to




                                                                                                                                                                                                                           the same rim with the standing end; and each time this occurs three new



                                                                                                                                                                                                                           bights have been added to the knot.



                                                                                                                                                                                                                                    1316.  After  tying  KNOT  ~1303  (3L  X  2B)  or  KNOT  ~IJ05





                                                                                                                                                                                                                            (3L  X  ~), start with the left end, bring it over to the center, and



                                                                                                                                                                                                                           continue to plat as  THREE-STRAND  SINNET.


                                                                                                      1317                                                                                                                         With  these  two  starts,  all  possible  TURK'S-HEADS  of  three  leads  are






                                                                                                                                                                                                                            made. These may be doubled, tripled  or quadrupled if wished. Numbers



                                                                                                                                                                                                                            1315  and  1316  are  the  common  methods  that  have  "always  been  used"



                                                                                                                                                                                                                            for lengthening THREE-LEAD TURK's-HEADs.




                                                                                                                                                                                                                                    1317.  Recently I have found what appears to be a simpler method.




                                                                                                                                                                                                                                   Take two right round turns about an object  (the left hand)  and  start



                                                                                                                                                                                                                            at once to plat, leading with the left end.  Hold the upper end and  bights



                                                                                                                                                                                                                            firmly  in position until the plat is  well started.  A  TURK'S-HEAD  is  com-




                                                                                                                                                                                                                            pleted each time both ends are brought to the same rim. The start shown



                                                                                                        1~1&                                                                                                                makes a  3L  X  ~ TURK's-HEAD  which, by continuing to plat, will build


                                                                                                                                                                                                                                       •
                                                                                                                                                                                                                            up Into 3  X  7,  10, 13, etc.



                                                                                                                                                                                                                                     1318.  Arrange  two  round  turns  in  the  same  way  as  ~ 13 I 7  but




                                                                                                                                                                                                                            commence to plat  with the  right end instead  of the left.  Numben




                                                                                                                                                                                                                             1317  and  13 18  will  give  all  possible THREE-LEAD  TURK'S-HEADS.







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