TUTS
STRUKTOR CAVEAT
(valid for ALL tutorials -except my own- in this web
site) : all
tutorials are provided
" as their author wants them to be", I did
not edit any of them, I did not proof any of
them in the cordage,
and they reflect their author personal realisation and stance in
explaining things.
IMPORTANT
NOTE : All the content of this web site is copyrighted material that
you may use freely for non-commercial usage provided you make a
CLEAR attribution BUT
you MAY
NOT
post on forums any
invented grid/diagram,
code,as it is the CORDAGE
ROUTE AND THE CODING that is copyrighted.
Even if you draw by
your own means the diagram this will be infringing the copyright as you
would be
using
the cordage route and the code to be represented.
You MAY
use an invented
grid/diagram freely for a
PRIVATE, PERSONAL AND
NON-PUBLIC IN ANY WAY
usage, you
MAY post where
you like the
knotting you made from it but not its diagram.
To post an invented
grid/diagram you will need to
politely ask for a written permission to do so also
give clear
attribution of the sources
Added 2013 July 28th
STRUKTOR's FIND : SEMI-REGULAR CONICAL
KNOT according to his nomenclature.
*do not* miss going to Struktor own page :
[open quote]
Bonjour
Charles
A little theory CK ;) http://narval.republika.pl/ck.pdf
Cordialement
Struktor
[end quote]
STRUKTOR
send me a mail
titled
"Turkish head knots
numbering
proposal"
[ begin my reformulation]:
A REFERENCING SYSTEM FOR REGULAR CYLINDRICAL KNOT (RCK )
Regular==single-STRAND
Turk's head ( turkshead ; turks-head ; THK ) the words used by STRUKTOR
is IMO
ambiguous as 99% of knot tyers are just ignoring the
fact that Turk's Head Knot are
QUITE SPECIAL CYLINDRICAL
KNOTS :
--- there BY NATURE SINGLE STRAND ( a
multi-strand Cylindrical
Knot CANNOT BE a THK as those multi-strand
knots are
SEMI-REGULAR
CYLINDRICAL KNOTS
---Those THK are unique in the way that they are the only one of the
RCK) which
are O1-O1 in coding
pattern so Column AND Row coded
; they are alone in that TYPE of coding.
So
in fact it is the cordage route only that is referenced as the pattern
of coding is not taken into accout hence a O2-U2, for example, will get
the same referencing than a O1-U1 so indeed STRUKTOR is right in
speaking of only THK referencing and not of the referencing of the
other REGULAR CYLINDRICAL KNOTS with a different pattern of
coding it is only the referencing of the cordage route when other RCK
are concerned.
The more ( and rarest species ! ) knowledgeable knot-tyers will
remember having seen in this site:
[open quote]
I suggest the introduction of a clear Turkish head knots numbering
system.
Every integer is assigned to only one knot.
Every knot has only one integer assigned.
It's only about the knots which can be done with a single thread.
As it's well known, Leads and Bights are relatively prime in them.
When (Bights) > (Leads) the number will be positive,
When (Bights) < (Leads) the number will be negative.
Example:
To the knot B36 L23 we give the number 167.
To the knot B23 L36 we give the number -167.
To assign to any integer a Turkish knot you can use my modified program:
http://www.narval.republika.pl/coprime.exe
(April 08,2013, 11:00 PM - last correction)
It works on the principle of reverse Euclidean algorithm.
In the opposite direction, to assign to a known knot an integer, you
can use Euclidean algorithm only with subtraction.
More information:
http://www.narval.republika.pl/treecoprime.jpg
Cordialement
Struktor
[end quote]
About THK see the topics under to get the link to STRUKTOR's page. http://narval.republika.pl Worth your time if only for
you knotting general culture.
Added 2013 May 01rst
I am putting here some
references that were first made in Friends-page_11
Added 2011 December
18th
see the 4th of October entry for STRUKTOR's
PROGRAM FOR MÖBIUS STRIP
the name of the program is rozeta. ( not rozetta not roseta and not
rosetta )
A PROGRAM FOR MÖBIUS STRIP the name of the program is
rozeta. ( not rozetta not roseta and not rosetta )
STRUKTOR contacted
me yesterday to impart the existence of
his programs.
The following quote gives all the needed information; Enjoy !
[open quote]
Salut
I developed a new method of manufacturing knots in the shape of the
head of the Turkish Mobius strip.
It has the advantage that it allows these nodes to plait on normal
tools used for ordinary Turkish head knots.
The idea is to add extra bights, which only serve to simulate the half
turn on the cylinder, or a plane and disappear after pulling the knot
and Mobius strip
molding.
This method works well for an even number of laps of the leads.
For an odd number of leads, the order of interlaces can be locally
broken, that is why I
didn't take them under consideration.
I did not make a separate index for Mobius Turk's Head knots, because
you can use the index for the ordinary Turk's Head knots, adding extra
bights.
Easy to see that for even leads we have formula: extra bights = leads /
2