| The Authors |
This
film is the result of the collaboration of three enthusiasts
who worked together on all aspects of the project. |
| Jos Leys |
Étienne Ghys |
Aurélien Alvarez |
 |
Engineer
turned computer graphics enthusiast, specializing in mathematical
imagery.
(Antwerp, Belgium) |
 |
CNRS
senior
researcher, working at the ENS-Lyon. He loves geometry. He was mainly
responsible for the mathematics and the scenario. |
 |
Graduate
student at the ENS-Lyon. he was in charge of the technical aspects, and
the computation of the images. |
|
| Music |
| For
their generosity, we thank: |
Florent Ghys
(www.florentghys.com)
interprets his compositions:
Laurine 4
Wa
Richy
Zoboko
Rupture
Bricole anticyclonique
Ongles
Cinq pianos
Canon a4 perpetuus
(J.S.Bach, arrangement)
Air
l'Air du baobab
Laurine 8 |
John Lewis Grant
(pianosociety.com)
Interprets some pieces of the
Well Tempered Clavier I by J.S.Bach:
Fugue 8 in D-sharp minor (BWV 853B)
Fugue 4 in C-sharp minor (BWV 849B)
Prelude 1 in C Major (BWV 846A)
Prelude 4 in C-sharp minor (BWV 849A)
Prelude 22 in E-flat minor (BWV 867A)
Prelude 7 in E-flat Major (BWV 852A)
|
Kevin McLeod
(incompetech.com)
interprets his compositions:
Long note One
Trio for piano, cello and clarinet
Majestic Hills
and interprets
J.S.Bach
Sheep may safely graze (BWV 208)
J.Pachelbel
Canon in D major
P.I.Tchaikovsky
Waltz (OP.40) |
|
| Voices |
Damien Gaboriau and Étienne
Ghys (French)
Shaun Bullet, Matt Delong
and John
Guaschi (English)
Adolfo Guillot and
Alberto Verjovsky (Spanish)
Mohammed Laid Kadri
(Arabic)
Andreas Lochmann and
Daniel
Pape (German)
Claudio
Vailati and Lilli
Fragneto (Italian)
George
Shabat (Russian)
Takashi
Tsuboi (Japanese)
Recorded at the Service Commun Audiovisuel et
Multimédia of the ENS-Lettres et Sciences Humaines,
Lyon,
in Cuernavaca (Mexico) , at Tokio University
(Japan), at Taylor University (Indiana, USA), in Moscow (Russia),
at the Mathematisches Institut der
Georg-August-Universität Göttingen (Germany), in
Milan (Italy) and in Algiers
(Algeria).
Thanks to the Video Archives Committee of the Graduate School of
Mathematical Sciences, the University of Tokyo.
With thanks to Kevin
Bradley, Kevin
Gehrett, Serge
Dubov, Andreas
Thom. |
|
| Image computation |
was done at the Pôle
Scientifique de Modélisation Numérique (PSMN)
of the ENS-Lyon
Special thanks to
Hervé Gilquin and Gérard
Lasseur
Most of the images were created in Povray
Fractal images were created in Ultrafractal
|
|
We also thank
Damien Gaboriau
for the support by the Unité de
Mathématiques Pures et Appliquées (UMPA) of
the ENS-Lyon |
|
| The
making of this DVD was facilitated by a subsidy of
the École Normale Supérieure de Lyon. |
|
| Thanks to our translators |
|
Alciléa Augusto
Paolo Bellingeri
Dietmar Bisch
Grant Cairns
Michael
Drzal
Sorin Dumitrescu
Jan Dusatko
Michael Eisermann
Louis Funar
Étienne Ghys
Alexei Glutsyuk
John Guaschi
Adolfo Guillot
Li Huili
Vladimir Jaksic
Leila Khatami
Victor Kleptsyn
Konstantinos Konstantoudakis
|
Boštjan Kuzman
Jos Leys
Martin Lustig
Greg McShane
Gilza de Melo
Mirsad Muharemagic
Klaus Niederkrueger
Melek Önen
Patrick Popescu
Ana Rechtman
Daniel Rosen
Boubaker-Khaled Sadallah
Pedram Safari
Vlad Sergiescu
Tan Lei
Takashi Tsuboi
Alexei Tsygvintsev
Jeff Weeks |
| and to the translators of the website: |
|
Hamid
Abchir
Concepción Abraira (Chiti)
José Angel
Alciléa Augusto
Artem Bukhonov
Anna Bykhovskaya
Grant
Cairns
Felipe Cano
Jerry Cheng
Benson Farb
Bruno Gimeno
Natalia Goncharuk
Roman Ilushchenko
Hamza Khelif
Mikhail Khristoforov
Victor
Kleptsyn |
Yury
Kudryashov
Eric
Kuhnt
Andreas Lagotzki
Javier
Lopez
Juan José Madrigal Martínez
Gilza
de Melo
Karla Olvera
Adriana Portillo
Diego Ramirez
Simon Schliesky
Hamish Short
Ferran Valdez
Karen Vogtmann
Amie Wilkinson
Yang
Ziqing |
| For hosting the files as mirror sites we thank: |
The
Povray organisation
Tokyo University, Japan
Instituto de
Matemáticas, UNAM, Unidad Cuernavaca México
Institute of Mathematics, Beijing,
China
Instituto
Nacional
de Matemática
Pura e Aplicada, Rio de Janeiro, Brasil
|
|
| For their advice and comments, we thank |
|
Thierry Barbot
Vincent Beffara
Marc Bernot
Jos Boogen
Vincent Borrelli
Claude Bruter
Jean-Paul Delahaye
Élise Ghys
Pauline Gonnaud
|
Antonin and Stéphanie
Guilloux
Jean-Pierre Kahane
Silvio Levy
Salim Mokrane
Philippe Saade
Jérôme Surroca
Francis Trincaretto
Frank Verheyen
Abdelghani Zeghib
|
|
| A special thank you to our presenters |
Hipparque : mathematician,
geometer...
Ludwig Schläfli : the
discoverer of the fourth dimension
Bernhard Riemann : pure genius
Heinz Hopf : topologist
Maurits Cornelis Escher :
artist and
géometer
Adrien Douady : an unforgettable
master
|
|
| To Gilberte and Martine...
|
|
