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TURK'S HEAD
PAGE 23
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I HOPE THAT THOSE FOUR TOPICS HERE UNDER WILL MAKE YOU POUNCE ON A CD OF THE BRAIDER ( just see What's New page to see how to buy from Dr John TURNER.)


ASYMMETRIC REGULAR NESTED CYLINDRICAL KNOTS ( braids for
Schaake)

illustration from The Braider N° 33
slightly modified for immediate clarification



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PERIODIC REGULAR NESTED CYLINDRICAL KNOTS
( braids for
Schaake)

illustration from The Braider N° 33
slightly modified for immediate clarification



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ESSENTIAL CODING OF PINEAPPLE


illustration from The Braider N° 44



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ESSENTIAL CODING OF CHECKERED PINEAPPLE


illustration from The Braider
N° 44



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TURK's HEAD KNOT SEEN AS POLYMERS

MONOMER  9L 1B and its polymerisation into 9L 1B
The first figure graphically show the validity of the ( L - 1 ) * B formula for calculating the number of crossing ( "hole" ; panel or face ) you see that there is 8 or ( L - 1 ) crossings in the  9L 1B so for the whole THK you need to multiply by B.

The polymerization graphically expressed with an isometric grid.

You will recall the CORRIDOR ( in turkshead_ 3 ) the monomer is the right side wall of an upward corridor ( vertical cylinder frame of reference )



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TURK's HEAD KNOTS : HOW TO ENLARGE THEM.

*** A rewriting of Turk'shead_22 : diagrams of process ( RIGHT side ; just transpose for LEFT side ) as explained  more than a year ago in .pdf format - downloadable

***New series of photo in slideshow  and  in downloadable pdf ( big 66Mo so slow
download for telephone modem )



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TYPES OF CODING = ROW / COLUMN / BOTH / NEITHER NOR

Here it is in image.

Universal appellation I coined  are INTER-BIGHT RIM and PARALLEL BIGHT RIM that contrary to others worked every time whereas the horizontal mandrel and vertical  cylinder frame of reference are at odds with each other

ROW coded mandrel == COLUMN coded cylinder == INTER-BIGHT-RIM coded

COLUMN coded mandrel == ROW coded cylinder == PARALLEL-BIGHT-RIM
coded


Along a given line of reference ( row, column, whatever ...) all the crossing must be of same type ( all OVER or all UNDER ) for that line to be retained in the TYP-ing of the COD-ing.



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AN ILLUSTRATION OF THE  STUPIDITY OF EQUATING
 """CASA KNOTS"""  WITH  TURK'S HEAD KNOTS
.

Some example have been shown ( using SCHAAKE'S ) in Turkshead_20 previously.

This one is an example of mine, of which in the silly hope that one or two of the obdurate minds will "open" and see the light ! ;-) I offer :

PHOTO and
DIAGRAM-1   DIAGRAM-2

You will note that this one is a mosaic of 9L 5B and 12L 5B ( it is not really attractive and is just an illustration of concept )

CHARACTER A TRUE THK THIS KNOT
Comply with GDC RULE YES YES
SINGLE STRAND YES YES
STRICT OVER ONE - UNDER ONE YES YES
ROW AND COLUMN CODE YES YES
FOLLOW A THK CORDAGE ROUTE YES NO

The use of the word CASA is ( just barely ) tolerable ( it is useless  compared to the
O1-U1 label  -what is useless is stupid in my book
) if appended to CODE as in CASA CODING as an equivalent to O1-U1 CODING but is UTTERLY INADEQUATE IF  APPENDED TO KNOT as in a CASA KNOT  being understood as TURKSHEAD KNOT.

What knots that are O1-U1 are NOT ( to take up a rather funny and bizarre expression taken from a 'spider' ) automatically "falling under the THK umbrella" nor are they CASA knots ( as understood to be another name for Turk's Head Knots ).

All in all better do without that silly CASA and stay with O1-U1 or with Turk's head knot.



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ISOMETRIC GRID AND HOW TO USE IT  TO DRAW KNOTS DIAGRAMS à
la
Schaake.

Either you find on the Net a free download of such a grid or you download it from here. (download will need 90 second for a 56Kbps)
To print the grid I offer as download used  format A4 and the option "fit to...."  or "scale to fit media" so you will  get the template I made for myself extending a model I got on the Net.

You can also use it with a drawing software : for example the free to get Paint.NET is
easy to use.
How to use the isometric grid.  

We could also have used a square grid but with less ease and success.



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added 2009 December 5th
 I think I found a way that works ( at least with the half-dozen experiences I made ) of
GENERALIZING the program for HERRINGBONE-PINEAPPLE to
NESTED-BIGHT INTERWEAVES THAT ARE NOT PINEAPPLE.

Documentation can be found here.



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5-PASS STANDARD HERRINGBONE KNOT
FOR THOSE  WHO THOUGHT....
that they had climbed the knots Everest by making a Matthew Walker Knot
then revised their opinion after making a Herringbone Pineapple Knot.

May be they should revised again their opinion after making a 5-PASS ( they will
be very hard put to find a diagram and coding of that in books or the Net ! )
Standard Herringbone Knot. It does not exist elsewhere.

Herringbone Pineapple (THE PINEAPPLE ) is kindergarten stuff, any knot-tyer can
make one without too much trouble, even of 5-PASS without any trouble, but Herringbone Knots (no nested BIGHT as opposed to compulsory nested-BIGHT for the Pineapple) are another story.

The least mistake in observing the proper sequence, even if you observe the
proper coding leads to that sort of disaster.

As I am a good guy I am offering here the full and verified coding of all the 5-PASS.
All PASS are 5L 4B Turk's-Head components

Here is the knot, undressed in 3-PASS
First-PASS is WHITE
Second is YELLOW
Third is RED
Fourth is GREEN
Fifth is BLUE

Now if doing it with coloured was easy for you just do it again with only one colour !
GOOD LUCK TO YOU


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Copyright 2005 Sept - Charles Hamel / Nautile -
Overall rewriting in August 2006 . Copyright renewed. 2007-2014 -(each year of existence)

Url : http://charles.hamel.free.fr/knots-and-cordages/

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