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KNOTS IN GENERAL AND PARTICULAR
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Added 2012 March 21rst


The SCHAAKE's SPHERICAL COVER 750 CROSSINGS / 360 FACETS
The return but without mistakes

2 mm polypropylene cord and 50 mm cork ball 1-PLY

picture


Another SCHAAKE's SPHERICAL COVE  210 CROSSINGS / 150 FACETS

1.4 mm braided nylon fishing ground line and  40 mm beach ball  3-PLY

picture

Here is a pdf  with Schaake's knot and its HP codes.



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Added 2012 Feb 24th

The SCHAAKE's SPHERICAL COVER 750 CROSSINGS / 360 FACETS
which is shown in How-to-make page

Here it is in the cordage ( one mistake is hidden in the back ! )
.ARI file ( needs Ariane V2.2.0.1 at least )
the Ariane grid


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Added 2012 Feb 22nd

A PARTICULAR HELIX PATTERN

Two days ago I was playing with ARIANE  and I  'invented' this
grid  in
SINGLE-STRAND                .ARI file ( needs at least Ariane V2.0.0.1 )
and in 2-STRAND.                .ARI file ( needs at least Ariane V2.0.0.1 )

It can be seen as reminiscent, though slightly different, of Schaake's slow helix and fast helix cylindrical knots
grid for Schaake FAST    grid for Schaake SLOW

This grid of mine has , quite obvious to the attentive, particular edges : some BIGHTS
will slide, either above on the surface of the knot or  under the knot. This is what (beyond the sequence rule) what makes HERRINGBONE knot (no, not Herringbone-Pineapple but true Herringbone Knots as in Standard Herringbone knots) a bit tricky to fair and to set.

This knot of mine is really easy to lay on the tool, it is a bit tricky to take in almost all the slack to put it on its definitive support and quite tricky to tighten.

Here is the finished knot.
special blind cord : 1.7 mm  polyester





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COVERING A CUBIC SHAPE  (5cm x 5 cm x 5cm)

Which knot, easy and fast to throw, would you use to cover a cubic shape ?

I chose to use this one.

If you do it with a not too thin cordage you can work it to appear cubic.


Along the time no one ever noticed that it is a "most regular" (not in the sense Ashley use the word instead of "alternating" , meaning O-U in a regular sequence), here "regular" is as "harmonious"  and that you cannot get when using ABok # 2200==2202   # 2201  # 2205 which are all faulty from this point of view : with them you don't get an "harmonious" result in the transition phase from one circle to the other, they stay quite visible.
Nevertheless there are ways to make the Monkey Fist that don't show the passage from one circle to the other as the big blue and this small white one exemplify.

Pour les francophones chercher monkey fist pour pomme de ligne de touline.



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CONVERSATION PIECE

All is revealed of this intriguing topological piece.

You  can easily make one by what I call the ' hedgehog method'. Can be porcupine ;-)
That is using cork board and pins.
Note : it only begin to shape after "doubling", that is 'following the leader'.

It is not utilitarian but as my paternal grand-mother used to answer my elder cousin and me when we were a bit nosy about 'some reason why' :
" it serves to make you talk"  ( "c'est pour te faire parler" ).

Guaranteed  effect !
Idle conversation  first class stopper which is good for a conversation piece I think !
It is a Moebius or Möbius strip ring knot. ( Note : if you delete the '¨' sign you have to put the 'e'. )

In a way that is "the function" of this knot : to loosen tongues!

I am not only joking, I am also implanting a seed in your mind : are you sure that the
dichotomy is utilitarian / ornamental  but since the "tool" have "usefulness"  and the
"ornament" have "meaning" should not the dichotomy be toward  "materialistic" / "symbolic".
After all are not "ornaments" conveying some "message".
( Brian Grimley wrote something about this  : see Franciscan's and Capucin's knots)

(see topic on handedness where the Möbius strip is used to exemplify some notions)



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MAKING ORNAMENT

This stone I found on a boulders beach in Brittany, in (not at but inside the cliff wall)  the bottom of the cliff  where lay the shore line of some millenniums past.
There are thousand of them " remnants of a shoreline".

This one I took because it was tainted by one of the periodic "marée noire".

I tried some experimental methods of cleaning with no success,

I then decide to "purify by fire".
Blowtorch went into action : it worked but the yellow iron ore in it turned red.
Finding it to be a beautiful geometrical thing made by Nature I enclosed it in this turk's head.

Easy, speedy and IMO pleasing to the eyes.

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LAMP STAND AND TURK'S HEADS

My son, Mathias-Charles, is an art wood turner and he taught some basics to his mother.
Here is one of her first attempts.

Having been graded to 'only ordinary' wood she created a tincture to make
it less ordinary, but  she was still dissatisfied with the end result and was about to junk it.

I 'liberated' it and taking some flax (not that easy to get here) cordage I did my bit.

She was pleased with it , took it back and made a light shade to go with it.

Have to say that this piece sold fast and well !



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ORNAMENTED PUNT

I took a liking to this little harbour of DOELAN at the mouth of a river .

( a feature particular to this part of south Brittany where rivers , they are named "aven",  are somewhat 
perpendicular to the coast line. They 'slice' the country in small patches, putting you at ease on a

north-south or south-north course but making river crossing an obligation on other bearings. Just try 
http://maps.google.fr to visit )
The celebrated special oysters ( not one of my photo - European Oyster or Ostrea Edulis) from river 
BELON (Riec-sur-Belon - We do not only eat "frogs" but "snails" and "seashells" too !) come from 
such a river some miles west of this small harbour of Doelan )
 

There I shot many pictures that you will find in Brittany September 2006 in 
knots_harbours_boats page.
Among these are this one of  a punt with what was to my eyes an arresting ornamental border.



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KNOTS IN A PERFUME BOTTLE
( very narrow opening 8 mm and cordage 5 mm)

Bowline
Perfection loop

Easy with patience, preparation and surgical instrument.

You can throw in with advantage the 8P rule
Proper Planning, Preparation, Procedure Prevent Piss Poor Performance

Planification Parfaite, Préparation, Procédure, Préviennent les Performances d'une Pauvreté Pisseuse

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PEARL KNOT

A useful  knot  separating pearls and preventing friction between 2 adjacent pearls
Here it is presented "flat and exploded", bunched up it is globular.
Photo 1       Photo 2      



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Pour les francophones chercher monkey fist pour pomme de ligne de touline.

PALIMPSEST COVERING A CUBIC SHAPE  (5cm x 5 cm x 5cm)
no one seem to have note important facts about MF here
SO I PUT THEM IN RED UNDERLINED AND BOLD

it is something "evident as the nose in the middle of the face" as soon as one try to blindly follow Ashley.
It has always be ( since years and years and years I learned LA POMME
DE LIGNE DE TOULINE aka for short as POMME DE TOULINE ) a "quiz" I
periodically set for myself (cannot remember the "solution" so have to "find it again and again).
By the way Monkey Fist was rather stupidly translated as Poing de Singe and now
it is how la POMME DE TOULINE is know by French knots tyers utterly ignorant of 
their own culture !

Which knot, easy and fast to throw, would you use to cover a cubic shape ?

I chose to use this one.

If you do it with a 'not too thin' cordage you can work it to appear cubic.


Along the time no one seems to have ever noticed that it is a "most regular" ( not in
the sense Ashley use the word. He used it  instead of the much more adequate :
"alternating, , meaning O-U in a regular sequence ), here "regular" is as
"HARMONIOUS".
That you cannot get when using ABok # 2200==2202   # 2201  # 2205
which are all faulty from this point of view : with them you don't get an "harmonious" result in the transition phase from one circle to the other, they stay quite visible.

Nevertheless there are ways to make the MF that don't show the passage from one
circle to the other as the big blue and this small white one exemplify.

In fact there are only four ways to have the "tails"  in a MF and I will let you search if all can be made harmonious in the passage from one circle to the other.
Here they are in photography.

Here is one way to make one  of the "harmonious"type.
There are probably several other ones but I am not interested at the moment in
finding the answer to that.
Another way. I could find another with the same "hiding" of the passage between circle.

ABoK #2201
ABok  #2205
Another way ( more satisfying to use the #2201 )
A MF with the 2 tails coming out at the same place

In fact, I think that part of the secret is : do your passage from one circle  to the next one USING A DIAGONAL and NEVER A PARALLEL TO ONE SIDE OF THE "SQUARE".



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HERE ARE OFFERED SOME GRID I 'INVENTED' on 2009 December  6th :
those diagrams use a Turk's Head cordage route or shadow (no mention of the type
of the crossing, only crossing's existence is recorded ) but using a CODING PATTERN that is NEITHER Row NOR Column so PLEASE !

don't make the egregious blunder some particular forum members do ( But then again
'au royaume des aveugles les borgnes sont rois') of calling them Turk's Head.
THEY CERTAINLY ARE NOT Turk's Head Knots !

The coding if  given was made manually ( pencil & paper ) and with the HP48GX program TOTU  I wrote and speak about in Publication_3.

MULTIPLE-STRAND
15L 9B in black
15L 9B in colour

SINGLE-STRAND
13 L9B mixed fishbone pattern
17L 9B mixed fisbone pattern
19L 9B mixed fisbone pattern

several grids* are momentarily "shut off" :
too much site aspiration going on, I wonder why, from several different Europeans countries and US. Concerted action ?
* if you are really interested you may try your luck and ask them by mail. (contact sheet)

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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/