Most certainly this still need some weeding out though I cannot find
any more fault to correct at the moment.
Use
reasonable doubt and track mistakes for a while till this warning
disappear.
DIFFERENTIAL DIAGNOSIS : how to differentiate one knot from
another :
I
am not blessed with the complicated mind of a
mathematician or of an engineer and I like label using FRAME
OF REFERENCE SIMPLE AND INDEPENDENT so I will not accept
the ROW
coded
, COLUMN coded as this is dependent on the frame of
reference horizontal
mandrel with bight rims on left and right side vertical
cylinder with bight rims at top and bottom
I much
prefer
my own labels that work whatever the frame of reference
is, horizontal
mandrel or vertical cylinder, as its
frame of reference
is the knot ITSELF and not
its
orientation !
so it will be -
INTER-BIGHT
coded ( ROW coding of MANDREL== COLUMN coding of cylinder) - PARALLEL
BIGHT Coded ( COLUMN coding of MANDREL ==ROW of cylinder)
You can get a
first quick sorting using the coding
(make sure you separate that coding from
the cordage
route followed : quite a lot of knots are made FOLLOWING
THE CORDAGE
ROUTE OF A TURKSHEAD YET WITHOUT THE CODING O1-U1 or U1-O1 of a standard
regular THK said - a bit of an
idiosyncratic mannerism ! - Casa Knot it is for some person,
in fact CASA IS NOT THE
THK
BUT THE CODING !
That seems to escape most people fond of that word :
should not be a CASA Knot but a CASA CODED
Knot.
Look at Turk's
Head_20 first topic to get Schaake's perspective on that.
INTER-BIGHT
AND
PARALLEL-BIGHT coding
* that will be
the standard regular Turk's Head
INTER-BIGHT
coding
* HERRINGBONE
( included the FLORES knot )
* PINEAPPLE ( NOT a Herringbone Pineapple
* BEVERLEY knot
* HEEL knot
* O1 Schaake & Turner Knot
* O2 Schaake & Turner Knot
* HOOD knot
* HORN knot
* GRANT knot
PARALLEL-BIGHT
coding
* GAUCHO (
included : Spanish Ring knot )
* FAN knot
* AZTEC-FAN
knot
* HEADHUNTER's
knot
* GINFER knot
* HANSEN
* NORTON
NEITHER
INTER BIGHT
NOR PARALLEL BIGHT coding
* checkered /
chequered pattern ( there exist CHEQUERED PINEAPPLE
KNOTS
and CHEQUERED HERRINGBONE )
* helix
pattern ( slow and fast )
* basket weave
pattern
* FLORES
*BARCUS
This is about the
FORMAT or TYPE of the coding, now for the SPECIFIC
CODING
******
INTER-BIGHT
AND PARALLEL-BIGHT coding ********************
Regular
standard THK
O1 - U1 ( can be U1 - O1) of course
on a THK cordage
route
HERRINGBONE
knot also making use of THK cordage route
10L 8B 2 PASS U1 - O2 - U2 - O2 - U2 or
O2 - U2 - O2 - U2 - O1
8L 10B 2 PASS O1 - U2 - O2 - U2
14L 12B 2 PASS U1 - O2 - U2 - O2 - U2 - O2 - U2
15L 12B
" PASS U3 - O3 - U3 - O3 - U2
** case a-part : PERFECT HERRINGBONE ( one STRAND )
17L 12B 3 PASS U2 - O3 - U3 - O3 - U3 - O2
11L 9B 3 PASS O2 - U3 - O3 - U2
PINEAPPLE
NOT A HERRINGBONE ONE ( NESTED BIGHT )
TYPE 1 ( 1 - 1 then 2 -2 then....)
TYPE 2 ( 1-2 the 2 - 1 for 2 PASS or 1 - , 2 - 1 and 3 -3
)
TYPE 3 ( 1-3 ; 2 - 2 ; 3 - 1
HERRINGBONE
PINEAPPLE ( nested BIGHT )
15L 10B 2 PASS ( Hall)
U -O2 - U2 - O2 - U2 - O2 - U2
2-PASS means 2! = 2*1==2 ways to make the knots that are stictly
equivalent as far as
finished state is concerned.
I have explained it quite enough , "in length, in width and sideways"
as
goes the French saying, in Turkshead_16.
Don't even begin to believe that doing one
knot before doing the other knot would change the result.
It is exactly like ADDITION (addition of THK ) 2 + 3 or 3 +
2 it is all the same.
The only thing that will change from one way to the other is the table
of coding for each PASS
GRANT is using a
trick : he shows the THK assembly made using a single-strand and hiding
the factin the finished knot.
BEVERLEY
knot also making use of THK
cordage route
13L 9B
O2 - U2 - O1 - U1
- O2 - U2 - O1 - U1
the original knot is that one but you may extended it along the same
principle of
adding an O2 - U2 -O1 - U1 sequence so as to get
O2 - U2 - O1 - U1 - O2 - U2 - O1 - U1 - O2 - U2 -O1 - U1
you will need an ODD number of LEAD whether you use and ODD or an EVEN
number of sequence O2
- U2 -O1 - U1 ( that is obvious, is not it ?
sequence cover an EVEN number of crossing, an EVEN number
time and ODD OR AN EVEN will give an EVEN result ! hence an ODD number
of LEAD in any case )
I will let you devise the
general formula.
HEEL
knot
see what has been written on that in another page. ( usually BUT NOT
always a Pineapple Knot.
Any """globe knot""" (stupid appellation as itis spherical covering and
not globe knot)
should function as a knot put on the heel of the
bosal.
O1
SCHAAKE
& TURNER knot
17L 10B U1
- O1 U2 -
O1 - U1 - O1 - U2
- O 1 - U1- O1
- U2 - O1
- U1
------------------------------------
HOOD knot periodic nested bight
Interwoven THK
Here it is the number of apex on a row line that are examined:
a TWO ROW ( mandrel frame of reference ) HOOD knot can be
< < and <
OR < < <
and <
OR
< < <
and < <
a THREE ROW HOOD knot can be
< < and <
and <
OR
< < <
and < and
<
OR
< <
< and
< < and
< <
( Hall ) 15L 12B 3 PASS ( the 3 THK in there are all identical, here 5L
4B )
Tie the first THK then with the second make a 2 PASS HERRINGBONE knot
then
interweave the third.
REPEATED group of coding is. [ Bight Rim 1 - 3
/ 2 - 2 / 3 - 1]
O2 U3 O3 U3 O3
U2 O3 U3 O3 U3
U1 O3 U3 O3 U3
( Hall ) 11 L 15B 3 PASS series 2 / 1 or <
< / < from two 4L 5B THK and one 3L 5B
note that the 3 THK are not all the same size
REPEATED group of coding is. [Bight Rim 1 - 2
/ 2 - 1 / 3 - 3]
O2 U3 O3 U2
U2 O3 U3
U1 O3 U3 O3
HORN
knot periodic nested bight inter bight
coded
Interwoven THK
13L 12B 3 PASS start with a 10L 8B 2 PASS HERRINGBONE knot
from a 5L
4B THK then interweave a third THK with 2 LEAD less and
identical number of BIGHT
REPEATED group of coding is [Bight Rim 1 - 1
/ 1 - 1 / 2 - 2]
-- O1 U2 O3 U3 O3
-- U1 O3 U3 O3 U2
-- U3 O3 U2
17L 18B 3 PASS tied from a 14L 12B 2 PASS HERRINGBONE knot
made from a
7L 6B THK
REPEATED group of coding is
-- O1 U2 O2 U2 O2 U2
O2
-- U1 O2 U2 O2 U2 O2
U2
-- U2 O2 U2 O2 U2
GRANT
knot ( reverse of a HORN - silly use of reverse
again !
)
Interwoven THK
18L 3B ( Schaake )
GRANT series 1 < one Bight on the most outside Bight Rim two
< BIGHT nested in the outsider on the immediately next
one toward centre
( a HORN series 1 has two BIGHT on the most outside BIGHT RIM and ONE
< BIGHT
The number of double < is the number of the series :
type 2 == 2 inner BIGHT RIM with two < nested
REPEATED group of coding is [Bight Rim 2 on the LEFT
3 on the right - mandrel frame
of reference 1 - 1 / 2 - 2 /
2 - 3]
-- U1 O3 U3 O3 U3 O3 U3
-- O1 U3 O3 U3 O3 U2
-- U2 O3 U3 O3 U3
HEADHUNTER's
knot also making use of THK
cordage route
7L 4B 2 PASS == O2
- U2 - O2
7L 5B 2 PASS == O2
- U2 -O2
7L 12B
2 PASS == O2
- U2 - O2
11L 8B
2 PASS ==O2
- U2 - O2 - U2
- O2
The
sorriest dummies will have inferred :
--- ODD number of LEAD as the number of crossing in L-1 then you get an
EVEN number of crossing which goes nicely with the 2 PASS
O2
- U2 - O2
6
crossings
2
PASS O2
- U2
- O2 - U2
- O2
10
crossings
so it begging with O(PASS) and end
with O(PASS)
( here O2 as 2 PASS )
GAUCHO
knot
also making use of TH cordage route all from SCHAAKE
&
TURNER
9L 8B 1
PASS == U1 - O1 - U1 - O1 - U1 - O1 - U1 - O1
9L
5B 2 PASS O2 - U2 - O2 - U2
13L
8B 2 PASS O2 - U2 - O2 - U2 - O2 - U2
13L 8B
3 PASS O3 - U3 - O3 - U3
again ODD number of LEAD for EVEN number of crossings GAUCHO general
formula is
- THK cordage route
- ODD number of LEAD
-
coding : O(PASS) - U(PASS)
in such a repetition that it
covers for (L - 1) crossings
now some from somewhat lesser Authors: Ron EDWARDS
and Hall.
SPANISH
RING
KNOT ( small GAUCHO ) also making use of TH
cordage route
5L 7B 2
PASS == U2 - O2
5L 3B 2 PASS== U2 - O2
5L 8B 2 PASS == U2 - 02
7L 10B 3 PASS == U3 - O3
9L 10B 4 PASS == U4 - O4
so it is easy = ODD number of LEAD ( from an EVEN number of crossing
-there are two SET of crossing the OVER and the UNDER so it follow that
whether the
SET
is EVEN OR ODD as there are TWO of them it will lead to an EVEN total
number of crossing that isso self evident that I am ashamed
to state it , yet experience taught
me that there are always a good number that will not spontaneously get
that !
so SPANISH RING KNOT
general formula is
- TH cordage route
- ODD number of LEAD
- coding U(PASS)
- O(PASS)
GAUCHO-FAN
KNOT ( Hall )
10L 8B 2 PASS ( from a 5L 4B primary THK )
Gaucho BIGHT on the left, gaucho pattern in the centre, Fan type bight
on the right side (mandrel frame of reference of course ) O2
- U2 -
O2
-
U2
- O1
FAN
knot (
Boton Oriental ) also making use of THK
cordage route
* 11L 7B O - U2 - O2 - U2 - O2 - U
11L 6B O - U2
- O2 - U2 - O2 - U
11L 13B U2 - O3 - U3 - O2
11L 9B O2 - U3 -
O3 - U2
general
formula
- THK cordage route
- ODD number of LEAD
- coding the "border" is one less than its immediate
neighbour set ( toward the center )
e.g O - U2
- O2 - U2 - O2 - U U2 - O3
- U3
- O2 OR O2 - U3
- O3
- U2
now one from Hall
11L 10B U2- O3 - U3 - O2
AZTEC-FAN
knot also making use of THK
cordage route
15L 8B (
Schaake ) O3
- U1 - O1 -
U2
- O2 - U2 - O2 - U1
(fan coding in green )
general formula
- THK cordage route
- ODD number of LEAD
- coding
8L 7B ( Grant ) AZTEC knot ( no mention of FAN ) O3
- U1 - O3
SAMUEL
knot
also making use of THK
cordage route
8L 13B O1 - U2 - O1 - U2 - O1
general formula
- THK cordage route
- EVEN number of
LEAD for EVEN number of crossings ( look at the SET of crossing
to understand )
- coding
begins with O1, then alternate enough U2-O1 to
cover for
( L -2 ) ( minus
2 for - 1 plus the O1 already "counted" )
: as ( each U2 - O1 will
add an ODD number
if you add and EVEN number of (U2 - O1 ) then you need an
EVEN number of LEAD but for an ODD number of ( U2 - O1 ) then you need
an ODD number of LEAD ( EVEN
number of crossing ; that should as evident as the nose in the middle
of the face , no ? )
GINFER
knot
also
making use of THK cordage route
(Edwards ) 9L 11B U3 - O1 -
U1 - O3
(Grant ) 9L U3 - O1 - U1 - O3
the centre sequence O1 - U1 can be modified by an interweave
SIDE
knot
( Grant )
O2 - U2 - O2
HANSEN
( Frank HANSEN of Oregon ) knot found it in HALL
but
the
actual study was from SCHAAKE ( The Braider issue N° 3 -
August 1995
plus N°4 / N°5 / and NOT N°2 - May 1995 - alas far from being
the first approximate way of doing
thing from that quarter ! - as erroneously indicated by HALL )
3 THK all of identical sizing are needed
15L 6B ( from 3 THK 5L 2B ) BUSH form
O1 - U3 - O3 - U3 - O3 - U3 - O3 - U1
( 3 regular THK assembled and
made with a single strand ) "double a THK and then split
the pair"
BUSH-BRAID FORM according to SCHAAKE : In bush
braidwork it is the aim to produce a serviceable article by means of of
quick and simple processes . The standard of braidwork
plays little if any role...Hence a bush-braideris not a braiding
artisan, nor does generally such a person have a desire to become one
(
well at least they are more lucid than many an ornamental knot tyer
of the Mutual
Admiration and Self-promotion Society believing they are
"wonders" not only good but great ! )
So Schaake distinguish
HANSEN BUSH
KNOTS to distinguish them from their PROPER AND CORRECT
COUNTERPARTS the HANSEN KNOTS.
HANSEN KNOTS cordage route of Standard Periodic Nested
Cylindrical Knots
( TYPE 1 --- nested bight ---21L 12B 3 PASS ( number of PASS
CANNOT BE EVEN )
O1 - U3 - O3 - U3 - O3 - U3 - O3 - U1
( TYPE 1* HANSEN BUSH KNOTS ( : based on regular
THK with ODD number of
LEAD, they are SUPPOSED to ape GAUCHO knots.
A (2*n + 1 ) PASS HANSEN Type 1 or 1* is an
assembly (
interweave ) of (2 * n + 1 )
identical regular THK with an ODD number of LEAD with PARALLEL BIGHT
coding
15L 6B ( Hall ) tied from a 5L 2B THK
O1 - U3
-
O3 - U3
- O3 - U1 formed by doubling a regular THK and
then splitting the
pairs.
Centre of knot has then a 3 PASS GAUCHO pattern
NORTON
knot ( according to Hall/Hickey ) from Dr
W.E. Norton from Louisiana :
regular nested bight -gaucho - and gaucho pattern at the
centre.
8L 8B 2 PASS from a 5L 4B THK + 3L 4B THK
TYPE 1 == right side bight rim or primary knot on BIGHT BOUNDARY 1 ( as
for PAK )
TYPE 2 == right side bight rim or primary knot on BIGHT BOUNDARY 2
REPEATED group coding
U2 O2 U2 U1
U1 O2 U2
According to Hall a doubled THK ( he sticks with his blasted "casa"
) would be a TYPE 2
CHECKERED
NORTON :
why make simple when you can make it confused ? I ask you .
Why not just
stay at doubled ( follow-the-leader) THK ?
******
NEITHER
INTER BIGHT NOR PARALLEL BIGHT coding***********
The Braider
N°6 The
GAUCHO/HERRINGBONE
= one part is GAUCHO and on the other
side
of a
transition is HERRINGBONE drawing
ONE drawing
TWO drawing THREE ( Two coloured fro
easier understanding )
YOU
REALLY SHOULD GET YOURSELF THE CD OF THE
BRAIDER WHOLE COLLECTION
( need to come equipped with a brain in " fully engaged mode
" to make the best of it ; not for usual ordinary average or under
average
ornamental knots tyers aka "spiders" certainly but a treasure
nevertheless for all the
others ). To buy the CD contact Dr John TURNER ( see page What is new
)
BASKETWEAVE
also
making use of THK cordage route
type 6n +2
14L 15B
O3 - U3 - O3 - U3 - O1
type 6n+5
17L 15B
CHECKERED
HERRINGBONE
10L 8B 2 PASS from a 5L 4B
U1 - O2 - U2 - O2 - U2
fast
HELIX ( Schaake)
17L 10B
U1 - O1 - U2 - O1 - U1
- O1
- U2
- O1
- U1
- O1 - U2 - O1 - U1
slow
HELIX
type I ( Schaake)
17L 10B U1
- O1 - U2 - O1 - U1
-
O1 - U2 - O1 -U1 -
O1
- U2 - O1 - U1
22L 15B U2
- O1 - U1 - O1 - U2 -
O1 - U1 - O1 - U2
- O1
- U1 - O1 -
U2 -
O1 - U1 - O1 - U1
BARCUS
knot ( origin is in FLORES mistake by GRANT )
(Hall/Hickey ) 10L 12B 2 PASS
U1 - O1 - U2 - O2 - U3 alternating with O1 - U1 -O2
- U2 - O3