THE OLDER ENTRIES ARE TOWARD THE BOTTOM OF THE PAGE
Added 2013 June 11th ( see
also the topic directly under this one )
HOW TO MAKE A 6L _25B __6Lmobius
_44Bmobius
strip / ring / band
Here is the .ARI file for those who have realised that this ARIANE software
replace quite a large lot of books ( and hence cost a lot less money ! ) and
acquired a licensed coy of it and here is the GRID for those not having ARIANE
Here
is the 'test' one I made using 4mm polyester cordage (always try for a rather 'stiff' cord)
Added 2013 May 1rst MODIFIED 2013 June 11th
HOW TO MAKE A MOBIUS / MÖBIUS / MOEBIUS STRIP / BAND from the
grid of a VIRTUAL REGULAR CYLINDRICAL KNOT or VIRTUAL SEMI-REGULAR
CYLINDRICAL KNOT ( Virtual RCK or SRCK).
Schaake could not countenance the use of the VIRTUAL REGULAR CYLINDRICAL KNOT procedure : in The Braider N° 16 he wrote
[open
quote]
Although we
can braid any Regular Mobius Knot
by means of a virtual
Regular Cylindrical Knot, a procedure which has theoretical advantages
with
respect to its path in the RMKT, it is from the practical point of view
not a
good method. The reason being threefold:
(1). The
half
twists in the Matthew Walker section makes the braiding process more
cumbersome, because we have to pay careful attention that they do not
accidentally disappear.
(2). The
Matthew
Walker coding of the crossings in the Matthew Walker section makes the
braiding
process, through the half-cycles affected, more cumbersome,
(3). At the
end of the braiding process much
slack will have to be
taken out.
It will thus
be
obvious that, if possible, a much more practical braiding process
should be
used. A process which is direct rather than indirect through some
virtual
[end quote]
DO NOT TAKE YOUR MEMBERSHIP
CARD TO THE SILLY
IGNORANTS CLUB AND DO NOT DARE TO SAY "MOBIUS TURK'S HEAD"
( THK ; Turkshead ; turk's head )
*** The MOEBIUS / MÖBIUS / MOBIUS BAND or STRIP
does NOT
have the
CORDAGE ROUTE OF A THK .
*** The MOBIUS BAND has ONLY ONE SURFACE while a
REGULAR (1-STRAND) or SEMI-REGULAR (more than 1-STRAND)
CYLINDRICAL KNOT. have an OUTside area and an INside area.
*** The MOEBIUS BAND has ONLY ONE EDGE while a RCK
or SRCK has TWO.
*** A THK whatever the parity of its number of LEAD is STRICTLY ROW AND
COLUMN CODED so O1-U1 the 01-U1 coding through out for a MOBIUS
depends on the parity of the number of LEAD
The first source to study is once again SCHAAKE and TURNER 's THE
BRAIDER ( Vol
II Issue 16 1998 Nov )
Before going on reading you need to see my article published
some
years ago ( before I met Schaake's work ) about my
personal solution for the building of MOEBIUS BAND
of a better size than the ridiculously small one published by a person
named BUDWORTH.
see A practical article ON MOEBIUS STRIP made following my
personal procedure
published well before I met Schaake and Turner's work
NOTATION FOR MOBIUS RING
L ( Lead) and B ( Bight) are for the VIRTUAL RCK, for the
Mobius their equivalent are
Lmobius == Lm and
Bmobius == Bm
Of course for the RCK nomenclature B is the number of BIGHT on EACH
BIGHT RIM
(KNOT BORDER) for the RCK, so the total number of BIGHT existing in a
RCK is (2*B)
while for the SINGLE BIGHT BOUNDARY( EDGE) of the Mobius the total
number of
BIGHT is denoted Bmobius == Bm
So the correspondence between the VIRTUAL RCK and the MOBIUS
are
L/2== Lm /2 denote the Number of
BIGHT ON ONE BIGHT RIM for what I call the
"transition zone", or the Matthew Walker part of the VIRTUAL RCK so
the whole difference in BIGHT between the 2*B and the is Bm
equal to L/2 or to Lm /2
RIGUEUR DANS L'ECRITURE DE L'ETIQUETTE D'UN RUBAN DE MOBIUS
pour UN SEUL demi-tour 180°
on prend la forme
Noeud cylindrique régulier VIRTUEL __Caractères de la bande de Mobius
donc par exemple
6L 35B comme BT est aussi un 6L 35B comme noeud...Virtuel
puisqu'on utilise
au départ une route du cordage soit de Noeud cylindrique RÉGULIER ( BT
donc 1-BRIN)
soit d'un Noeud cylindrique SEMI-RÉGULIER ( donc pas BT et PLUS DE UN
BRIN)
6Lm ou Lmobius 64Bm ou
Bmobius
( (35*2)
- 6== 70-6==64
donc on écrira " c'est un 6L_35B_6Lm_64Bm
"
utiliser
plutôt le trait de soulignement '_' que le '-' qui est aussi
le signe mathématique 'moins'
d'une manière plus générale pour les un 'seul 180°'
(x)L_(y)B__(x)Lm_((2*y)-x)Bm
6L_35B_6Lm_64Bm
------------------------
on verra pour les 'plus de un 180°' SI et SEULEMENT SI il est
vérifié
que la perte de BIGHT est égale au nombre de 180°
multiplié par le nombre de LEAD.
alors en prenant 'z' comme 'nombre de 180°' avec 'z' obligatoirement de
parité IMPAIRE
(x)L_(y)B_(x)Lm _ (2*y)-(x*z) Bm
si z = 3
9L_47B_9Lm_67Bm
(47*2)-(9*3)==94-27==67
SOME PECULIARITIES OF THE MOBIUS
--- A GAUCHO coding pattern is impossible in MOBIUS
--- the Row and Column coded pattern of the THK is possible ONLY if
L ( Lm ) is of EVEN parity ( ODD parity presents a break in
the
overall O1-U1 ). If ODD then the
regularity of O1-U1 breaks somewhere.
--- a HERRINGBONE coding pattern is possible
see this one made by Michel SINCE
--- some other coding pattern are possible but they MUST HAVE what
SCHAAKE call EVERT-LATERAL EQUIVALENCY and that I personally see as a
rotation symmetry.
A word about the way to express you grid and your knot :
suppose you use the cordage route of a RCK 12L 53B :
then calculation shows that you will "lose" 6B on EACH of the
TWO EDGES of the
VIRTUAL RCK you will make the grid of so total loss is 12B .
So this 12L 53B grid will yield a 12L 94B ( 12L ( (53*2)-12 )
MOEBIUS BAND so write
MOEBIUS-12L53B-12L94B
The part that makes the grid a grid of a VIRTUAL RCK is one that will
collapse when
dressing and fairing the "in the cordage knot" and this part has the
form of a
MATTHEW WALKER coding
Added 2012 Feb 21rt
A new-attempt-croc grid with a minimal intermeshing that does not
yield a croc-ridge Diagram
proofed
in the cordage .ARI file ( need
Ariane V2.0.0.1)
Added 2012
Feb 18th
CRÊTE DE CROCodile
or CROCODILE RIDGE pattern cylindrical knot
Stefanos FANIDIS asked me if it was possible, using ARIANE, to make a
grid to make a cylindrical Crocodile Ridge bracelet instead of " in braid"
strap.
( The difficulties were lying more in finding the proper coding than in
having ARIANE trace it.
I perused GRANT's book and some realisation on the
Net my own site first
( DON_TUTS
)
For trials prior to launching a full attack on a full size
bracelet I built a cordage route with a small number of BIGHT.
Claude
HOCHET drew my cordage route using ARIANE and then, also using ARIANE, I added the pattern I
believed was correct and another one I believed was interesting but not
the real crocodile ridge
The three first grids ( comparison here 'in the cordage" )
yield a crocodile ridge.
( Reidemeister's move are useful to understand what happen to the grids
)
HOW TO MAKE A HOUNDSTOOTH
( pied-de-coq pour les francophones) PATTERN on a
cylindrical knot
The idea is originally EDDY CLIMO's
DON WRIGHT made
those years ago and was alone in that for quite a long time
as Eddy CLIMO made him promise not to give the grid and code till he himself published it.
HOW TO MAKE A COLIMA
LAZY-MAN BUTTON
very bizarre name given by Bruce Grant to what is most simply
a.........5
PARTs 4BIGHTs THK 2-PLY : just "follow
the leader around" and doubled it.
I will always wonder about silly names.
Added
2011 June 26th
HOW TO MAKE
SOME REGULAR KNOTS WHILE LEARNING THE TYPE
OF CODING ( tutorials made with RKnot BUILDER )
When using such tutorials you need
to know how the PINS are positioned and numbered.
HOW TO MAKE
ON A CYLINDER ABoK#2216
; #2217 ; #2218
; #2219
(1391) ; #2222 ; #2232 ASHLEY
MADE AS FLAT MATS !!! Really bizarre those flat diagrams for knots supposed to
be
cover for 3D shapes.
A word to the wise : avoid making them using a 'round cord' which does
not suits them so well and use something that is akin to "flat lace' (or gutted paracord
which will flatten).
All the knots coming from Schaake are much better in flat material IMO.
HOW TO MAKE
A PAMPA STYLE KNOT (pattern on a THK cordage
route)
Courtesy of RKnot BUILDER Claude Hochet's powerful program
for Regular Knots and Schaake here is a PAMPA
STYLE ( Neither Row Nor Column Coded Regular knot ; for a
laugh just try to make it with another program ! ) 29L 16B One PDF file
You get the grid drawn by Schaake that I use to built the matrix of the
knot for RKnot
Builder, the grid drawn by RKnot Builder and the code HP by HP to make
the knot.
Enjoy.
Added
2011 March 15th HEAD'S HUNTER HEAD-HUNTER
HEADHUNTERS
HEADS'HUNTER
HEADS'HUNTERS ( my view is
that
there are several hunterS hunting foes headS )
A document about
HEADS HUNTERS Knots is coming there. (it is a .pdf file but
I have
had a number of those stolen in the past-by robots?- and put on
some other
site specialising in pdf I now rename them to .fdp : so after
downloading the file rename it to .pdfor directly ask
your .pdf reader to open it)
You also get, courtesy of SCHAAKE for the models and Claude HOCHET 's
RKnot
Builder for the diagrams and the codes here are some HEADS HUNTERS
knots.
Most probably the next how to will be about FAN knots
Added 2011
Feb 18th
HOW TO MAKE FIADOR ( KNOT IN THE BOTTLE - EUGENE
ULRICH TOO ) On the CD of five books by Schaake is one 159
pages ones signed by SCHAAKE - TURNER - SEDGEWICK on BRAIDING REGULAR FIADOR
KNOTS
The BraiderN° 5 (cite
Eugene ULRICH privately published booklet ) deals with Fiador and also The BraiderN° 6 ( you can have The Braider CD for "peanuts" from Dr John C. TURNER ).
HOW TO MAKE ...a HERRINGBONE KNOT
(sub-title : a miscellany of herringbone-pineapple knots) Well ! This question is frankly so ILL THOUGHT
that it is
UNANSWERABLE because its *real* meaning is UNDECIDABLE.
(download at the end of this entry)
As always 'logical planes' have to be strictly distinguished.
Is the question referring to
--- a NAME given to a knot for good or bad reasons,
--- to a knot TYPE,
--- to a knot CODE or PATTERN...
--- to....
Name given to a knot : then this has no real sense
communication
wise as this can go from some knot ASHLEY named "herringbone" to the Standard Herringbone Knot
(SHK) going though Standard Herringbone-Pineapple or SHPAK ( those are what
is usually called,
by the less ignorant, a Pineapple but as Schaake remarked this is a bit
too loose), even through Pineapple that are Herringbone-coded or patterned but are
*not* SHPAK.
We
will suppose (quite erroneously, I know!) that most know what
a
true blood
Pineapple -SHPAK- is IN ACTUAL STRUCTURAL FACTS.
Those
SHPAK are assemblies, made in a particular way, of THK having
ODD-number
of LEADs, each component THK being single-strand (or we
change the group of
appurtenance of this so-called Pineapple)
Lets us see PINEAPPLE which are assemblies of component THK
with
an
EVEN-number of LEADs ( those are Pineapple BUT NOT
"true blood"
Pineapple,
the SHPAK.)
Examples taken from The Braider.
The most ham fisted and brain lazy readers will easily be able
to
make those knots
given here as *all* is given for that.
example
one
3-PASS 5 BIGHT-NEST
B=15
Total L = 22
First SET of component THK = two 8L 5B
Second SET of component THK = one 6L 5B
see EVEN number of LEADs and "2" L of difference between the two SET
example
two
3-PASS 5 BIGHT-NEST B=15
Total L = 24
First SET of component THK = three 8L 5B
Second SET of component THK = EMPTY
Here *all* the component THK are identical in L & B dimension
hence
a single SET.
Just to show the difference :
here is one which is an
assembly of TWO PERFECT HERRINGBONE-PINEAPPLE (NOT
a SHPAK
mind you it is) (perfect=single-strand)
4-PASS 4 BIGHT-NEST so B=16
Total L =
20 ( 11L from the first component
plus 9L from the second component)
Indeed 11L 4B and 9L 4B are here with a REGULAR NESTED BIGHTS cordage
route and NOT A THK cordage route.
here a COMPOUND
BROKEN HERRINGBONE-PINEAPPLE.
Just
build the code ! (easy as pie if you are a REAL knottyer REALLY knowing
the
HERRINGBONE CODING ! ) you have all that is need
for that
REMEMBER : DO NOT CONFUSE THE PATTERN : here HERRINGBONE
withthe REAL IDENTITY OF THE KNOT.
If you want to see something "absurdly called a herringbone"
by
Ashley ( it is not even Herringbone patterned !!!) look at ABoK#1589
(see here
if
you cannot tell the difference in the firs nano second of seeing it !
or here
considering
the head and tail stand for the BIGHTs-RIMs or the
KNOT-EDGEs.
If
the "arrows" of the fishbone do not progress from tail to head but
rather from belly
to back or back to belly then it is NOT a Herringbone
pattern but something looking
like the so-called Gaucho pattern)
For the really slow with "de la buée sur les vitres" (vapour mist on
the window panes)
still not getting the point :
GAUCHO is a COLUMN-coding
HERRINGBONE is a ROW-coding ( frame of reference : horizontal
mandrel).
See the difference now!
ABoK#1381
is also called Herringbone while not corresponding to the
proper
nomenclature slot ( it is more the Gaucho PATTERN)
ABoK#1386 is almost a herringbone PATTERN, just like ABoK1390 has a
somewhat Herringbone PATTERN
Now for the more "brain alive" here are some way to find your way among
HERRINGBONE-PINEAPPLE
KNOTS
next topic will be my tutorial for a 5-PASS HERRINGBONE knot
NO REPEAT NO, 'unless you are dead brain that is ) NESTED BIGHTS IN
THOSE
Note that this HERRINGBONE knot dish is served WITHOUT ANY
Pineapple !
Added 2011
Jan 24th
HOW TO MAKE A HANSEN KNOT TYPE 1 and 1* according
to
Schaake in The Braider (you would do well buying it because I just do
enough for you
to get "a notion" but not enough for most but the most able to get "all
the secret" : buy CD!) illustration
ONEillustration
TWOillustration
THREE
Copyright
2005 Sept - Charles
Hamel / Nautile -
Overall rewriting in August 2006 .
Copyright renewed. 2007-2014 - (each year)
