Sept 10th The
CONFUSION ABOUT TURK'S HEAD KNOTS & CASA
Since the name Turk's
Head is used by many people for a large number
of single and multi string cylindrical braids, it
is not a good name for a specific
Later we adopted the name Casa
for the shortness of the name (
my emphasis ). This name was extensively used by Tom Hall,
for in the purely pragmatic world of braiding this braid form formed,
and still forms, the main basis of interwoven braids.
It is therefore not surprising that in most publications far
too much emphasis is placed on these so-called ' Casa Knots '
in the case of interwoven knots.
It should be remembered
that for interbraided knots, one knot form is not any more important than any other
The by us previously adopted names " Turk's Head Knot '
and " Casa Knot
' may cause a further problem in that an over-under
coding throughout a braid not only may be seen as a "Turk's Head "
coding or ' Casa
' coding, but also a column-coding
However, an over-under
coding throughout a braid does in general not imply that the
braid has a column-coding or a row-coding !
The braid in Fig.387 has an over-under
coding throughout, its coding is a column-coding, but
is not a row-coding ( see
arrowed rows )
The braid in Fig.388 has also an over-under
coding throughout, its coding is a row-coding, but is not
see arrowed columns ).
In order to overcome the ambiguity associated with the names ' Turk's Head ' and '
Casa ', we shall in
future denote a braid which has an over-under
throughout, as an over-under coded
Although the name is somewhat long, there is at least no ambiguity.
For example, in future we shall call a ' Turk's Head Knot '
or a ' Casa Knot
A multi-string Regular Cylindrical Braid with a Casa-coding
we shall in future call an
coded Regular CylindricalBraid.
In this context, the term Braid
will be used
as a general term, hence one or more strings may be required in the
construction, while the term Knot
that only one string is required in the construction
[open quote] ...When the apex
positions of the right-hand nests of bights fall exactly
midway between the apex positions of the left-hand nests of
bights: x = 2k + 2 + ( 2n - 1 ) A
=1 + 2n for ( A - k )
= 3 + 2n for k
n is a whole number.
Thus n = ( x + A - 2K -
2 ) / 2A, and the components have an odd number of parts
which differ by 2 for the two Components types.
positions of the right-hand nests of bights line up with the apex
positions of the left-hand nests of bights: x =
2k + 2 +
2n A with
Pc =2 + 2n
for ( A - k
) Components and P'c
= 4 + 2n for k
is a whole number.
Thus n = ( x - 2K - 2 ) / 2A,
and the Components have an even number of parts which
differ by 2 for
the two Components types.
As you see NOTHING WHIMSICAL by only REASON AND LOGIC here.
on HERRINGBONE-PINEAPPLE KNOT
[open quote] ...the well-known
Herringbone Pineapple Knots an the Semi-Standard
Knots have a string-run in which the apex positions of the right-hand
nest of bights fall exactly midway between the apex positions of the
left-hand nests of bights.
The Braider p526
on HERRINGBONE-PINEAPPLE KNOT
[open quote] A Standard and a
Semi-Standard A-pass Herringbone Pineapple Knot respectively consist of
A interbraided over-under coded Regular and Semi-Regular Knots.
When l1 = 1 and r1
= A, the
interbraided knots are identical with the same odd number of parts each. When l1
= 1 and r1 = k<A, the
interbraided knots have an odd number of parts each :
( A - k )
with p = (2*m - 1) parts each and k
with p = (2*m+1
) parts each, where m
a natural number. [end
BURNING TRACKS : ANOTHER ' STYLE ' OF ENLARGEMENT
different result from the results given by the usual enlargement
processes ( those were
explored in Summer 2008 in Turkshead-2
with drawings, photographies and text.
MELTING THE TRACKS ;-) Click on the thumbnail to
if connection speed is less than
1024 bps )
in another tab or
Photo is courtesy of JIMBO ( Jim
Any comment just send me an email that I will
forward to Jimbo. (see
bottom of page for mail )
Best way (will be less slow to download that a web page full of
drawings) to show what I have found is via a PDF file.
The gist of
it is that by "tweaking" a bit one of the two already
can obtain a ' new perspective'.
preoccupation with enlargements is that they allow the knot tyer not
to under the obligation of relying on a whole batch recipes
simply put in
the care of memory but rather
to be relying
on knowledge and intelligence. ( memory still need for data-storage
So one has only a handful of
knots (root knots) to know by rote (and even that is not
fully right as with just a wee bit of
concentration and thinking one can "find again " those
basic knot just by a small
effort of thinking along the right tracks.)
For a 3L 2B
-- Enlargement Process on the RIGHT
side of HP1(SPart-WEnd vector )
lead to a 5L 4B THK
-- Enlargement process on the LEFT
side of HP1 will lead to
7L 4B THK.
it is going from 2B to 4B
IF I SHOW YOU THAT IT IS POSSIBLE TO GET 5B
instead of 4B
a 3L 2B to a 7L 5B ?
FROM 1944 ABoK on HERRINGBONE
as can be seen in this scan
#1290 the one we know Herringbone Weave or INTER-BIGHT RIM
#1291 HerringbonING, PARALLEL WITH THE LENGTH OF THE KNOT
in others words or BIGHT RIM PARALLEL
Copyright 2005 Sept - Charles
Hamel / Nautile -
Overall rewriting in August 2006 .
Copyright renewed. 2007-2014 -(each year of existence)