the freedom to make critical
remarks, there cannot exist sincere
flattering praise - Beaumarchais.
KNOTS MADE ON A THK SHADOW (cordage route)
for horizontal mandrel ==column coded for vertical cylinder
There is a program doing the thinking part for you if you are the lazy
To succeed in the
world it is not
enough to be stupid; you
must also be
Well I may be stupid or not but certainly I am not
well-mannered when faced with
absence of critical thinking (in the highest meaning of this concept)
with 100% falling back
on handed down and then swallowed whole "creed and belief" in the knots
erreur ne devient une faute que lorsqu'on ne veut pas en démordre. Ernst
An error becomes a
fault only when one does not want to let go of it. Ernst
problem seems to lie in :
“It ain’t what ya
don’t know that hurts ya.
What really puts a
hurtin’ on ya is what ya knows for sure, that just
ain’t so.” ~~
Thanks Jimbo my friend for that one, but we both know that they will
not let go, except
a microscopic contingent, that is for those happy
few that I put on the public
place what is
done for my sole egoistical satisfaction .
or Stephen Hawkins : "The greatest
enemy of knowledge is not ignorance, but illusion of knowledge ",
...of that some ex-spurts and their admiring cohort of
followers have heaps of.
All this is the result of old notes of mine being entirely written
again to include
my very recent
encounter with SCHAAKE & TURNER ( S & T )
writing. ( quotes
will be in green in the main text of this page )
My old notes were done with the intent of opening trails for a future
algorithm (hence a way
to code a program) dealing with
those knots since to me it clearly appeared plain
commence without having a sharp, detailed and precise perspective.
This classification rest
upon mathematical criteria and not
on personal whims.
This "objective" sorting, has internal and external validity, it is
indeed to be bowed to if one
want to stand a chance of
making a working algorithm in any computer language.
I had advanced well but was still far from
being at the
end point attained by S & T who
remain to this day the masters of all this topic ; they very
clearly exposed the
(sorry for those who find S & T writing
"unclear" ; I am not absolutely sure that it
a case of "pilot error" or rather "reader error"
that explains it.
A sort of "hospital mocking charity")
I have always been quite irritated by the way people use " pineapple"
about any knot
without neither rhyme nor reason.
A bit of 'history' :
Bruce GRANT ( Encyclopaedia
Rawhide and Leather Braiding ) qualified it
"the King of the
braided knots" ; I cannot quite follow that opinion having no great
in ornamental knotting beyond its geometry but any how tastes and
colours are not to be
discussed as they say
GRANT clearly stated what was a Pineapple and it is the unthinking and
vox populi by the intervention
of so called ex-spurts (to steal my friend Jimbo's way of
word - seems to echo some "pissing contest"
) that made the silly jump to
a non verified equation :
nested bights = pineapple.
GRANT ( Encyclopaedia
Rawhide and Leather Braiding )
I know for this foundation knot is one I call the Pineapple
one of the most practical knots in braiding. As the bights or
scallops on each edge are
staggered toward the center,
the knot closes on the end when tightened and, in fact,
will close on
both end and completely encompass a spherical object.The pineapple 4
be intervowen to make it larger, yet its outside bights remain the same
enabling it to close over....
It is the King of the
Braided Knots, and you will find many uses for it. The Argentine
gauchos use it to cover buttons and call it the button knot"
and he then quote only
number of LEAD
The Pineapple or Gaucho Knot......Where the HERRINGBONE knot (
plate 171 has an interweave of two Turk's-heads of the SAME NUMBER OF
PARTS AND BIGHTS , the pineapple knot is an interweave of two
OF THE SAME NUMBER OF BIGHT BUT DIFFERENT NUMBER OF
he does not give anything other than odd number for the LEAD
It might be of interest here to say that Turk's-heads and woven knots
the attention of many profound mathematicians and a
ponderous literature has been
written on them. They follow rules as
inviolate as those of the planets, and the winding
and intricate, even
labyrinthine, twisting can be calculated to a nicety"
I just hope that Grant knew how well 'planets' applied
because as I
THK MATHEMATICS ( One and Two ) they can be drawn as
those types of cycloidic curves were used by
This sort of knots 'fall under the umbrella' ( an expression
that I find absolutely funny
--funny as in bizarre -- and cannot resist
another appellation :
PINEAPPLE Knots (HPK).