not being in a "showing off mode" when writing bout knots I shall not
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
authors don't make the difference and put as reference some
they never laid they eyes upon )
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
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 )
[open quote] I am at
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
I then realised that while being a preacher for always being EXPLICIT
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
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
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
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
that gives it its “H” or
“L” label. The
last cordage is “doing it” (active) to the first
which “it is done” ( passive)
BUT that does not tell the whole story : this give you the ALTITUDE
the crossing made but that does not gives the “Z”
“S” nature of it , what Derek labeled
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
So a crossing to be validly compared to another crossing must BE
OR MAINTAINED comparable by methodology, by a formalised,
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.
TWO theoretical PIECES that, when I was still
silly enough to be making
on KHWW forum, I was asked (by
Lindsey Philpott) to write
for KNOTS NEWS(KN),.
gave them to KN and it happened there was an empty slot for them to be
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
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.
A practical article ON MOEBIUS STRIP
I am not really sure what Knots News will
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.
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
You may get a program written in HP RPL to get
the sequences of braiding as
described in the article.
DON'T RUN ANYTHING ELSE THAN EITHER " ODD" or "EVEN" depending on the
braid you want.
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
Soon to be here
after an ultimate verification of the maths part by trained
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.