Everything on Pi!
Since this site has for mission to inform each one of us on
the profound and nearly mystic nature of Pi, nothing is worth more than
a few articles or episodes to show that it is still modern and loved by
current researcher and passionates.
Here is a list, yet once more incomplete, paper documents or video that
I could find on the web. Due to time constraint, mess and laziness, I
could not put everything I had. As always, if you see something new,
tell me!
Digit records (html)
1000 billionth (10^12)
binary digit of Pi by Fabrice Bellard-
22/09/97
5 000 billionth digit of Pi
is '0' by Colin Percival (projet PiHex) -
21/08/98
40 000 billionth digit of Pi
is '0' by Colin Percival (projet PiHex) -
9/02/99
The million billionth binary
digit of Pi (1015) is '0' by Colin Percival (projet PiHex) -
11/09/00
51,539,600,000 decimals of Pi
by Kanada
08/06/97
206,158,430,208
(=3*2^36) decimals of Pi by Kanada
04/10/99
Mathematical essays on
On the rapid
computation of various polylogarithmic constants
Bailey - Borwein - Plouffe
pdf (1996)
(THE reference paper on Plouffe's formulaew)
Massive 3-loop Feynman diagrams
reducible to SC primitives of algebras of the sixth root of unity
D. Broadhurst
pdf (10/03/98)
(The paper that naturally follow the previous one!)
Sur la nième
décimale des nombres transcendants
ou La 10 milliardième décimale (hex) de Pi est 9
Simon Plouffe
pdf (1996)
English version (on the nth decimal
of transcendant numbers or the 10 billionth decimal (hex) of Pi is 9)
Some BBP functions
Alexandru Lupas - Université de
Sibiu (Roumanie)
dvi (2000)
The Computation of to 29,360,000 Decimal
Digits using Borweins' Quartically Convergent Algorithm
David H. Bailey - Mathematics of
Computation
pdf (21/04/87)
Pi: A 2000-Year Search Changes
Direction
Victor Adamchik / Stan Wagon - Wolfram
Research
pdf (23/09/97)
Spigot algorithm
Mathsoft
mathcad 6 for pi
The Quest for Pi
David H. Bailey / Jonathan M. Borwein /
Peter B. Borwein / Simon Plouffe
pdf (25/06/96)
(back on the algorithms and calculation record that marked history)
Approximations to Pi via the
Dedekind eta function
Borwein - Garvan
postscript (27/03/96)
A new formula to compute the n'th
binary digit of Pi
Fabrice Bellard
postscript (20/01/97)
Computation of the n'th digit of Pi in
any base in O(n^{2})
Fabrice Bellard
postscript (10/01/97)
Evaluating Zêta(2)
Robin Chapman - Université
d'Exeter
dvi (30/04/99)
(by BBP formulae)
Very cryptic stuff
Jörg Arndt - Chemnitz
dvi
(The details on Ramanujan formulae)
A new formula for Pi
M. Hirschhorn
postscript (05/12/97)
(a different proof of the Plouffe formula)
Construction d'un cercle et d'un
carré de même aires (!!)
Construction of a circle and square
with the same area(!!)
Jean Claude LELONG BONNARIC
word format (1999)
(yes,yes, you di not misread, this boy thought he had prooved the
squaring of a circle in another document.... each to their own! of
course, his construction here is just an approximation, but a great
geometrical exercise, for the amateurs....
I think he doesn't really understand the problem of rigour, since he
was also telling me that Lindemann must have been wrong... a poet, this
boy! I don't know wether he is a frustrated genius or a pasionate
madman, or even both!)
Calculating
Pi by Cues method
Christophe Borelly - IUT Béziers
pdf (03/01/00)
The amazing number Pi
Peter Borwein - CECM
pdf (07/2000)
(texte in honor of the rediscovery of the tomb of Ludolph van Ceulen)
Historic of the
algorithm concerning Pi
P. Lorczak on mathsoft
mathcad 6 format
Formulae and algorithm to
calculate Pi
Gérard Sookahet -
Hutchinson
postscript format (08/2000)
Some article on Pi
Chaos in Pi
Hervé Poirier - Science et Vie n°1010 (Novembre 2001)
Here are the five pages with images, each 120 Kb: 1 - 2 - 3 - 4 - 5
Certirudes without proof
Jean Paul Delahaye - Pour La Science
pdf (07/98 n°249)
(really good article... thanks Abel Lacabanne for this great pdf)
The decimals of the number Pi
Hervé Morin - Le Monde
pdf (23/10/97)
(on the calculation by Fabrice Bellard)
System Pi - Contempary art
exposition by François Morellet at the Musée Zadkine
html - Article de Libération (24/12/1999)
Two tasty servings of Pi
CMS Notes
pdf (11/98)
(Book review)
A passion for Pi
Ivars Peterson - Science News online
pdf (2/08/97)
Obsession of Pi
Jean-Paul Delahaye - Pour la science
pdf (01/97)
The mountains of Pi
Richard Preston - the New Yorker
html (02/03/1992)
(A long and remarquable article on the Chudnovsky brothers)
Presentations on Pi
The life of Pi
- history and computation
Jonathan Borwein - Australian Colloquia
pdf (07/2003)
An excelent presentation that study the question under every angle with
one of the best world specialist. A few pictures and a bit of humor as
well.
Several students often have asked me for
advise on presentation of Pi. I am happy to be able to reproduce their
work that carry on their passion for Pi, and that will maybe be the
beggining of a long fascination? The following presentations are in FRENCH, I'm waiting for your contributions in english !
Le nombre Pi (The
number Pi)
DE GASPERIS Clément - FLOTTERER Mike - DOS SANTOS Steeve - ALRIC
Christophe
Lycée Jacques BREL, Vénissieux - Supervised personal work
- word format(2000)
Méthodes
d'approximation du nombre Pi (Aprroximation Method for the number Pi)
PRZYBYLSKI Olivier - TIPE (prepa (undergraduate) exposition)
word format (2000)
(Lecturers' nightmare, with a name like that.... 150 points in
Scrabble!!)
Comparaison des
performances de différents algorithmes(Comparing the performance
of different algorithm)
Xavier Marchesini - Ecole Centrale Paris
mathematica format (05/2000)
Le nombre Pi (The number Pi)
Laura Brichon - 6eme 2
word format(14/03/2000)
Mon séminaire de DEA consacré bien sûr à
Pi...
(My DEA semester dedicated of course on Pi)...
format Word - PDF
Pi, le nombre diachronique (Pi, the
diachronic number)
Bertrand Germain, Vincent Moreau, Antoine Riche, Yann Spadari - Licence
mathématiques
PDF
Pi
Romain Dupont, Lynda Gastal - Licence de mathématiques
ps (31 pages, impresive!)
Tout Pi
or not Tout Pi + frise chronologique
Elodie Lecocguen - Yessera Bdewi - TS
word (19 pages)
Le nombre Pi
est-il naturel ? (Is the number Pi natural)
Antoine Taveneaux - Terminale S - travail de TPE (Pratical work)
PDF (38 pages)
Excelent work, focusing particularly on the apparitions of Pi in the
world or the number that surround us. Loads of experiments.
Le
nombre Pi (The number Pi)
Nicolas Hébrard, Sam Muth - MPSI - Travail de TIPE
PDF (24 pages)
Numerical approximation method. Nothing you won't find on this site ;-p
Otherwise, not bad, detailled proof.
A few videos by Simon Plouffe
While waiting for the reopen of his site,
here are the videos and sound extract that put him on scene about Pi.
Radio au Québec (Quebec Radio)
quicktime format (09/11/97) - 3.7Mo
Interview of Plouffe
and the Borwein by NBC
quicktime format (23/11/96)
(great, 13.5 Mo)
The interview on RTL
As you know, for the follower of this site,
RTL interviewed me on the 20 february 2000, in the Zikweb program. A
great moment for me! Not to be missed, loud to Pi, and to my numerous
"finally"!
RTL - ZikWeb program the
10/02/2000
"LE SITE OFFICIEL DU NOMBRE PI : 3,14 MOYENS DE DECOUVIR LES
MATHEMATIQUES" ("the official site of the number Pi :3.14 ways to
discover mathematics")
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