Page 294 - J. C. Turner - History and Science of Knots
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284 History and Science of Knots
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Fig. 6. The (7P, 5B) regular flat braid , with Turk's Head coding
s
Fig. 7. The (7P, 5B) regular flat braid, with Two Pass Headhunter's coding.
Figs. 6 and 7 demonstrate two different braids with the same whole string run
If we wrap a regular flat braid backwards around a cylinder, and join the
corresponding string ends when they meet, then we obtain a regular cylindrical
braid knot, which has one or more strings in its composition.
Definition (ii)
A Regular Knot is a regular cylindrical braid knot composed of a single
string.
In the two Figures 6 and 7, if the grid diagrams be `wrapped round a cylinder'
and the string runs traced, it will be found that only one string is involved. It
will be readily observed that the two diagrams have different codings. So the
two grid diagrams now represent two different Regular Knots having the same
whole string run. The first one has a coding which indicates that the string
passes alternately `over' and `under' at the crossing points, throughout. Such
a knot is called a Turk's Head Knot, by Schaake's definition:
