I doubt that the pointer I put many month ago on Igkt forum raised much
interest.
It was about an article published in the New
Journal of Physics.
If, but it is rather a IFF, the link is broken then use this link.
You may find on the net video of the breaking of spaghetti !
I did some spaghetti breaking, using small points of colour
- water based ink - strategically
disposed to get, in the absence of
any high-speed camera,
a notion of what was happening.
I may have stumble by pure chance on something that can be use.
"Un mot n'est
pas la chose, mais un éclair à la lueur duquel on
l'aperçoit"
Denis DIDEROT -
Philosophe Français du Siècle des
Lumières
“A
word is not the thing, but a flash of lightning in the gleam of which
it is glimpsed” Denis DIDEROT -
Enlightenment French philosopher.
Well this might very well be the gleam in which to look at this
phenomenon.
Most of you must know the coloured hollow plastic
"thread"/"wire"/"tube"/"line" used to
make "scoubidoos". Diameter :
1.5mm or
6/100th of an inch.
Well the sort I got hold of behave quite like the under cooked
spaghetti but in very slow
motion and let you see what is happening
until the last second.
Just try it instead of going on thinking "that is silly".
Compare with
a few spaghetti.
You may learn something not previously known by you.
By the way I found one rope maker "MEISTER" who give knots as
diminishing by 50%
the strength of a rope but SPLICES TOO.
THE ROPE ALPHABET IDEA
In History And Science
Of Knots
under the editorial supervision of J.C TURNER and P Van De
GRIEND
publish in : Series on Knots and Everything -
Volume
11 - World Scientific is the publisher.
It is a series that leaves you in no doubt about it having the hallmark
of academic standards
of publication.
Chapter 13 : Trambles, signed by Geoffrey BUDWORTH .
At the occasion of "trambles" a 'natural' concept formalized by Desmond
MANDEVILLE
author evoked with some details the idea of the alphabet in
knots that is, "by default",
attributed solely to Desmond MANDEVILLE
who
is said to have
launched it "in the late
1960's"
It is good form for authors of an academic publication , when
writing about a
particular idea,
to be thoughtful of mentioning,
even if only in the most swift passing manner, the antecedents
of the
idea so as not to lead "by default" the readership into
thinking it is its first
emergence.
Either this mention has exceeded my capacity of understanding written
English or it is too
subliminal for my catching it. I am
sorry to raise the point if it is indeed in the printing.
Idea of an alphabet using knots has been in the air since at least the
last fourth part of the
19th century.
I had encountered the alphabet in knots prior to reading M.
Budworth piece, in the idea
of
David MACHEATH and Robert MYLNE that is mentioned in
Chapter XVI :
An Alphabet Of Knots
by J.Tom BURGESS
in his book Knots Ties And
Splices - A Handbook For Seafarers, Travellers, & All Who
Use
Cordage
published by Routledge and Sons in 1884.
Burgess state that [begin quote]
Many persons have suggested a series of knots for this purpose ( my
note : purpose is
"communicating a message apart from the usual pen and
ink"),
apparently in the ignorance
that such a scheme of knot
writing was
introduced for the use of the blind many
years ago, by a
teacher named
David Macheath, of the Edinburg Blind Asylum, and a
scholar named
Robert Mylne. They describe their "string alphabet" as they term it,
thus...
[End quote]
I believe that more than three fourth of a century is
what can be honestly qualified as
'anteriority'.
The more so because it seems that is was not only 'an idea
thrown in
the air' but a tool for
blind persons.
It was 'in the air' to invent means of communication.
BRAILLE invented his system for
the blind in 1819 taking his idea in the
"écriture nocturne"
/ Writing in obscurity invented by
Charles
BARBIER DE LA SERRE. This Charles was an
Artillery Captain inventor of
a system allowing
soldiers to trace and decipher messages in
full darkness
using 6
sets of "point saillant"/'raised point to represents
phonetic sounds.
BRAILLE published his system in 1829.
Desmond MANDEVILLE's merit and stature would (could)
not have been, still are not,
diminished by the mention of his predecessors in this general line of
using rope and knots to
communicate.
This is 'convergence'.
( khipus, as far as we know, when not letters or sentences but digits
and numbers)
I will welcome precise pointer to an antecedent to Macheath and Mylne.
ANOTHER MISSED MENTION OF ANTERIORITY IN KNOTS AND
MATHEMATICS : Alexandre-Théophile VANDERMONDE
I have read several "short history" of the study of knots by
mathematicians.
Some do not even mention the giant K.F.
GAUSS
(document was found on the Net,
http://www.mi.sanu.ac.yu/vismath/sl/link6.gif )
but none of the non-European (for this topic
UK citizens will not be
considered as Europeans, they don't behave like Europeans! They
are
just UK citizens) authors
writing in English that I read seems to acknowledge or know
that even
the
great GAUSS
was preceded :
by a French mathematician of the 18 th century.
Karl Frederick or Carl Friedrich GAUSS will follow in 1833, in the
first
part of the 19th
century, as he was discussing knots with one of his doctorate students (Johann Benedict LISTING
(1808-1882)) .
It seems it was LISTING that coined the word "topology" to name
the new "geometry of
position" (géométrie du
placement).
It is the title of one of his published pieces.
It seems that GAUSS
himself wrote a few words on knots but that it was LISTING that
"did
the
work" under the inspirational teaching of Gauss for what was to be
"topology" for
his "Vorstudien zur Topologie"
, Göttingen
(1848) "Preliminary studies on the topology"
(?)
Short note : the MÖBIUS strip ( Moebius if "¨" is
suppressed ) should be the LISTING
strip as it was he LISTING
who
discovered it two month before MÖBIUS made his find.
As early as 1771, Alexandre-Théophile VANDERMONDE
(1735-1796) mentionned
knots in a "Mémoire" written for l'Académie
Royale des Sciences ( Paris - France ) with
the title of :
"Remarques sur les problèmes de situation", (that is
"Remarks about placement problems"
or situation problems) pages
566-574.
This .pdf file is a courtesy from Anne Bernard from
Délégation
à l'Information Scientifique et à la Communication
Académie des Sciences
23 quai de Conti
75270 PARIS CEDEX 06
Got an answer in the hour following the reading receipt for my e-mail.
The old typography plus the scanning do not make for easy reading, so
I transcripted it with
modern typo
( Word format) .
Style is 18th! just imagine reading a corresponding text in English.
In it there is no mathematical formalism such as prescribed by
the BOURBAKI group
(French group of mathematicians who made many people feeling disgusted
with
mathematics even if it helped to standardize exposition
of
reasoning. Sometimes too
much is counter-productive)
but
clear reasoning.
VANDERMONDE was : musician, jurist, mathematician, chemist, physicist,
mechanics,
economist and demographist.
I am told that VANDERMONDE matrix is a tool used every day by
mathematicians so
why this "miss" in "short history of knot theory"?
May be I am just playing at the irate 'Coq
Français'.
Go to page 10 of
bat's belfry
Copyright 2005 Sept - Charles
Hamel / Nautile -
Overall rewriting in August 2006 .
Copyright renewed. 2007-2012 -(each year of existence)