Nautile aka Charles Hamel's personal pages
Page 1   Page 2  Page 3   Page 4  Page 5  Page 6    Page 7   Page 8   Page 9   Page 10
Page 11   Page 12   Page 13  Page 14   Page 15  Page 16   Page 17     
Page 18     Page 19  Page 20  Page 21   Page 22    Page 23   Page 24   Page 25   Page 26


Without the freedom to make critical remarks, there cannot exist
sincere flattering praise Beaumarchais.

Added 2009 August 18th
THK / Turk's head / Turks-head / turkshead from ultra basic knots

First some mnemonics :
Think    1 and 2       then      2 and 3

Now make that        1L 2B and 2B 1L        then          2L 3B and 3L 2B

THAT IS ALL YOU NEED TO KNOW to make about any SQUARE turk's head
knot plus UNDERSTANDING THE ENLARGEMENT  processes ( read and study  
 Turksheads_2 and Turkshead _3

SQUARE when  |L - B | = 1   meaning  Absolute difference L - B = 1, meaning L-B = 1 or  L - B  = -1 that is B - L = 1

RIGHT SIDE (on the right side of the SPart-Wend vector -  vector = directional arrow)
LEFT SIDE (on the left side of the SPart-WEnd vector - -  vector = directional arrow)

RIGHT side add 2L and 2B  to        2L 1B   &   3L 2B            L > B
LEFT side add  2L and 2 B to          1L 2B   &   2L 3B             L<B

PICASA slides show coming

BIG images  ( for T1 connections )
1L 2B               2L 1B               2L 3B              3L 2B

Smaller  images ( faster upload for slow connections )
1L 2B               2L 1B               2L 3B              3L 2B

If you want to compute the ' upstream ' and the 'downstream " of the enlargements
of a given turk's head just use my HP48 program ( see my  Publication page )

See PUBLICATION_5 for an HELP FOR DUMMIES about making a prevision
of what an enlargement will give starting with any square turkshead.


9L 8B turk's head knot or GAUCHO ?   Just a funny PARADOX !

well anyway a GAUCHO is made on a THK cordage route but not with the O1 U1 ( UI O1 ) coding of a THK....BUT IFF ( IFFy condition ; IF and ONLY IF )  you let the
GAUCHO realm commence at ONE  PASS then you have to admit (with GRANT p 360) "The Gaucho knot of one pass is in reality a nine-part eight-bight Turk's head."

so 9L 8B THK == GAUCHO ONE PASS 9L 8B  (this one was made in less than 10 mn from a 3L 2B start and is very badly dressed but I will not lose precious minutes of my life on silly ego-boosting/boasting pseudo ornamental knots ; this is for info only )


We saw that concept in TURKSHEADS_2 when looking on enlargement .
Here is a photo, not a drawing, showing a real corridor and the way it can be used to
count LEAD. This exemplify too the sorry business it is that BIGHTs are in fact LEADs but "on the frontier". This point is almost never made explicitly and always left implicit.



SUMMARY OF ENLARGEMENT ( after The Braider )

This is for a generic THK   (specific enlargement were seen about  in Summer 2008, one year ago, in Turksheads-2 and Turksheads-3)

Diagram summarizing Enlargement  type 1 on the RIGHT side of the SPart-WEnd vector ( the very first HALF-PERIOD laid )

Diagram summarizing Enlargement  type 2 on the LEFT side of the SPart-WEnd vector ( the very first 



Only for the person having perfectly mastered the type 1 and type 2 as seen just above.

You will have to use concentration and attention to analyse the drawing.  
 (big file so slow download for telephone modem !)


The one I made was following what FRY put in his book but the source is Chas. L.
  KNOTS, SPLICES and fancy work, published in GLASGOW in 1934.
as fair quote and as a tribute to a beautiful book that you should try to get using hoping for one of the rare original 1934 copy.

( that and what look like  the 'princeps' description of a method for Long  Turkshead by a Royal Navy Captain :  E.W. DENISON :


A 1934 method for LONG TURKSHEAD KNOT  by Chas. L. SPENCER

You will see that all you can see in books published since the creation of IGKT  on the
subject comes from here !
 pdf document as 'fair quote' and enticement to buy a copy on

I have written a sort of dissertation on those long THK and after writing it I remembered my old copy of Spencer's and sure enough I found again this wonderful precedent.
My dissertation will be put on line some time..



This is the illustration of a cylinder with the cordage route being put on correctly
but the crossings are not "correct" : this is just to give you (just as much as drawing does) a diagram of the cordage route on a paper and then you will be adding the code you want.

Juts follow the route with a "for keeps" cordage and put on the correct crossings on it (you gain to be sure that you don't have to bother with counting pins ) following your worked out half-period coding or work this coding "on the go" which allow exploring new pattern and concentrating on them and not on the cordage route.  

On the same illustration there is a cordage route plus a fully corrected coding so this is a mule system, mule is sacrificed after the "for keeps" cordage had been put on.

This illustration (note the PINs with colours which help a lot with the PIN SKIPPING
or JUMPING  / alternative : PIN STEPPING ) shows what I call the Poor Man Algorithm as there is no maths apparent there, only try, fail, correct, succeed.

When the mule is in place just used it as guide for the definitive cordage.

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

Url :