Nautile aka Charles Hamel's personal pages
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Warning note :  not being in a "showing off mode" when writing bout knots I shall not use
academic training and dispense with boasting about BIBLIOGRAPHY ( that is all
publications one can find on the subject) and REFERENCES ( that is only the publications
that were actually read. Many authors don't make the difference and put as reference some
of a bibliography they never laid they eyes upon )



THIS PAGE CONTENTS :

- some remarks on my H & L system for knots

- Two theoretical and practical  pieces on TURK'S HEAD KNOTS

- MOEBIUS STRIP MADE EASY  ( with a program in HP-RPL )

- Two theoretical pieces on the (easy) mathematics of TURK'S HEAD KNOTS

- a short fun piece on CHESS and Turk's head knots

- a series of .pdf files of studies about cordages and knots

- HP48GX program in HP-RPL FOR THK and THK-LIKE CODING


HELP ON THE NET ON HOW TO EASILY INSTALL EMU48 FROM SCRATCH

FOR HELP ON USING/INSTALLING GO THERE
 
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Dating from 2004 - 2005 (posts on Igkt Forum)

MY  H & L NOTATION SYSTEM FOR KNOTS

I will have to revise ( clearing spelling, grammar, awkward sentences, not touching the arguments)  the manuscript left in dereliction ( no one seems to have be
even remotely convinced by its discrimination power. )

Here is just examples of its usefulness for discriminating between knots to be used in conjunction with a data base. :
here is a case study of :
 SQUARE ( also REEF) - GRANNY - THIEF - WHATNOT (also GRIEF )

The H & L notation with the added twist of a 'standardization' suggested by Derek Smith : making the first crossing an "H" type.

For the next step you have to know how to sign a crossing unfailingly.

I am (only one of the type) a great fan of an irreplaceable tool, which avoid this silliness of using "handedness" for inanimate items,  around knots and cordages : signing of crossing.

When this 'formalization' using "Z" and "S" is applied then the H &  L notation gains in discrimination.

[open quote] I am at the situation of seeing the recipe you described for the Z or S connection of a knot, and I see that it works, but I have no idea why !![end quote of Derek Smith ]

This, coming from an intelligent person, was enlightening to me  .
I then realised that while being a preacher for always being EXPLICIT I had been a bit to much complacent and stayed IMPLICIT, it being so clear for me I did not though about spelling all the details]

my "stupid” answer will be BECAUSE ... but there is more to say.

…because it is "systematic”, it describes the EXTERNAL world in EXPLICIT and CONSTANT manner making use of an EXTERNAL CONSTANT FRAME of reference INDEPENDENT of the observer(s) or of the local conditions. ( the epiphenomenal ones such as geometry)

Speaking as someone having been trained in an epidemiology I will say :
the prime necessity is " MAINTAINED COMPARABILITY" and another one – there are some others mind you -  " the EXPERIMENTAL situation must be applicable (read valid)  in THE EXTERNAL REAL WORLD”

SIGNING CROSSINGS is one tool that help MAINTAIN COMPARABILITY
( you can compare horned oxen with buffaloes but not with swans !  You can compared women with uterus cancer if they all belong to the population of  nubile women with an uterus  but not with men, non nubile women or women having had hysterectomy. They are not in the same “exposition to the risk” group.)
When surprised by a result, whether being very happy or very discomfited in particular , always, always, always verify the actual comparability of what is being compared !

Read KILLING HANDEDNESS and my other page on handedness.
It is my conviction that as long as people will think HANDEDNESS ( their own characteristic so their INTERNAL frame of reference. Two identical internal frame of reference does not make an external frame) and applying it in an egregiously mistaken way to knots and
cordages many nonsensical things about left and right forms of knots will continue to be uttered by very intelligent and most knowledgeable persons ( just as with REVERSE and MIRROR, indistinguishable only in 2D but not in 3D ; so people confuse the drawing that can be said REVERSE or MIRROR with the real world knot that can be only one ( XOR logical function and not OR ) of the two.
I have a favourite battle horse called "frame of reference" and often goes on about that in my web pages.

Why use the H & L : because it record the ACTUAL ORDER OF MAKING the crossings.
As for crossing it is the last (part of) cordage put “in” that gives it its  “H” or “L” label. The last cordage is “doing it” (active) to the first one to which “it is done” ( passive)
BUT that does not tell the whole story : this give you the ALTITUDE of the crossing made but that does not gives the “Z” or “S” nature of it , what Derek labeled “the chirality of the twist”: for that we need to SIGN THE CROSSING so taking in account BOTH parts of cordages  AND THE WAY THEY INTER-RELATE  beyond altitude . Altitude does not take in account the individual VECTOR OF DIRECTION of each part of cordages making a crossing.

So a crossing to be validly compared to another crossing must BE MADE OR MAINTAINED comparable by methodology, by a formalised, constant frame of reference.
External as in : it being independent of the local situation or geometry and attempting to  get to the invariant topology.
That is the only way I see to MAINTAIN COMPARABILITY.



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TWO theoretical PIECES that,  when I was still silly enough to be making some posts
on KHWW forum, I was asked  (by Lindsey Philpott) to write for KNOTS NEWS(KN),.
I gave them to KN and it happened there was an empty slot for them to be published.

Added 2008 July 8th

Part ONE    : THK ARE NOT BRAIDS

Part TWO  : TURK’S HEAD KNOT OR NOT TURK’HEAD KNOT ?

2009 NOTE : the table of page 4 - 5 is now outdated compared to my present thinking and I should make a new one.....
It is outdated in the PINEAPPLE outlook as I retained then only the PINEAPPLE with
only one set of component and in the outlook on multi-strand knots made on a THK shadow
 that are in fact to be put in the  THK assembly slot.


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A practical article ON MOEBIUS STRIP

I am not really sure what  Knots News will decide to do with it at the moment.

Always before I waited for them to find a free slot and publish it before going public in my own pages.
So I will have to let you wait till next September just for the sake of keeping to my word.

Added 2008  October 24th : Well they did not use it and that is perfect with me as it has the advantage of giving me back my liberty.

 MÖBIUS STRIP article

You may get a program written in HP RPL to get the sequences of braiding as
described in the article.

You don't own an HP calculator HP 48G or GX ?
 then just get an emulator for your PC
There is also one for MAC user named E48 ( just search on the Net )

You may now DOWNLOAD a fully working EMU48 with the MOBIUS program and with THK code finding. First read the documentation before making a lengthy download.

DON'T RUN ANYTHING ELSE THAN EITHER " ODD" or "EVEN" depending on the braid you want.


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THIS  WILL BE  (correction "now is" ) FOR ARTICLES ABOUT MATHEMATICS AND THK
that I wrote in 2007 Nov before my Father's terminal illness took all my attention.

This I deem a bit too particular in perspective to be of interest to Knots News but if they do want it they can have it for the asking.

Soon to be here after an ultimate verification of the maths part by trained mathematicians
Verification was done and no hideous hidden errors were found. I even got some compliments with expressed fear that the level might be a mite to high for most persons.

Links added 2008 Sept 11th

PART ONE : 7 pages

PART TWO : 6 pages

added 2010  March 24th:
for those with a curious mind here are two spirographs to make experiments .
1001 thanks to the authors of those applets .


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THIS IS A FUN PIECE about CHESS and THK that I put in a post in KHWW.

Added 2008 July 8th

CHESS & TURK'S HEAD KNOT



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A SERIES of pdf files  featuring some topics re-worked from my other web pages
( IF, not IF but IFF, Knots News want any of those : welcome, but they will have to ask )

Added 2008 July 24th  despite a last proofing to be done ( the 7th !)

- LAY

- SIGNING A CROSSING

- HANDLING A COIL OR A ROLL of cordage

- CLOCKWISE   -   ANTI-CLOCKWISE

- KILLING HANDEDNESS

-REVERSE AND MIRROR

- SHROUDS, LANYARDS, DEAD MEN'S EYES



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THIS IS A COMPLETE REWRITING OF WHAT WAS WRITTEN SINCE THE 1rst
OF JANUARY 2009 

SEVERAL HP 48 GX program ( HP RPL language )

Two first were
-- a MOEBIUS program that cannot be separated from my article on MOEBIUS MADE EASY  MOEBIUS USER'S TIPS
-- a program putting on the stack the THK coding algorithm  THK USER's TIPS


You don't own an HP calculator HP 48G or GX ?
 then just get an emulator for your PC
One exists fro MAC : E48 at    http://www.zophar.net/macintosh/hp.html  or at
http://emu48mac.sourceforge.net/



You may now DOWNLOAD a copy of my own EMU48 .  
This has a default : the emu.ini file is specific to my installation and is not in the download
as it is in the WINDOWS folder.

First read the documentation before making a lengthy download.

EMU 48 STARTER help

You will get tutorials about the HP48 at  http://www.quickclose.com.au/tut.htm

Do not refrain from going to  http://www.hpcalc.org/   to see what there is about HP
calculator.

HELP ABOUT HP 48GX

EMU 48 FAQ by its creator : http://hp.giesselink.com/emu48faq.htm

http://www.area48.com/howto.html


Added 2009 January 24th :
HERE is HOW TO EASILY INSTALL YOUR OWN EMU FROM THE ONE DOWNLOAD ON MY PAGES

Added 2009 January 26th :
HERE is HOW TO LOAD A PROGRAM ON AN EMU48 EITHER NEWLY INSTALLED FROM SCRATCH OR ON AN 'OLD ONE


Added 2009 January 27th :
HELP ON THE NET ON HOW TO EASILY INSTALL EMU48 FROM SCRATCH



Now for the programs themselves:
Each one comes with its own USER'S TIPS to serve as user's manual, you will find those
in the EMU48-SITE put for download

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Copyright 2005 Sept - Charles Hamel / Nautile -
Overall rewriting in August 2006 . Copyright renewed. 2007-2012 -(each year of existence)

Url : http://charles.hamel.free.fr/knots-and-cordages/