Nautile aka Charles Hamel's personal pages
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.

The whole series of  illustrations I got from Struktor is here  in a slideshow.

*do not* miss going to Struktor own page :
[open quote]
Bonjour Charles
A little theory CK   ;)
[end quote]

You can also  have the Semi-Regular-Cylindrical Knot Theory PDF here.

Addition 2013 July 30th

Struktor sent this mail
[open quote] Salut Charles,

Attached a pictures, typical cone CCK-B8L7R5,9

Improved version:

The Braider, No-1 ,
Fig.1 - Isometric graph paper only for cylinder.

Cordialement Struktor[end quote]

IMPROVED pdf    ( you have it direct on Struktor's site )
pictures that were attached to the mail


Added 2013 May 1rst

STRUKTOR send me a mail titled
"Turkish head knots numbering proposal"

[ begin my reformulation]:

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

--- 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:

picture one        picture  two    picture three

[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.

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:
(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:


[end quote]

About THK see the topics under to get the link to STRUKTOR's page.
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 )

This one is for ODD NUMBER OF LEADS


Added 2011 Oct 4th

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]

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

I wrote the program to draw schemes of these knots, which is available from:

Program for the ordinary Turk's Head knots:

Best regards

[end quote]

For the interested person here are some links

*** my old published article on a "practical" way to make the Möbius you want
** l'article ci-dessus en Français

***  SCHAAKE on the MÖBIUS ( English)

*** my translation of Schaake's   partie 1    partie 2

Note : it seems that Struktor was not congnizant of Schaake ' s article in The Braider

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

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