Auteur
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THÈME |
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GÉNÉRALITÉS - VUES D'ENSEMBLE |
Banchoff.T.F. |
Beyond the third dimension, Scientific
American Library, Freeman &Co, New York, 1990 |
Berger M.
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Géométrie Vivante ou l'Echelle de Jacob, Cassini, Paris, 2009 ISBN978-2-84225-035-5
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Bruter C.P. |
Deux universaux de la décoration, Saverne |
Dürer A. |
Géométrie, Préface J. Peiffer, Editions du Seuil, Paris, 1995 |
Emmer M.
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The Visual Mind I, Leonardo, The MIT Press, Cambridge, 1993
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Emmer M.
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The Visual Mind II, Leonardo, The MIT Press, Cambridge, 2006
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Holden A. |
Shapes, Space, and Symmetry, Columbia University Press, New-York- London, 1971 |
Ghyka M. |
Le Nombre d'Or, Gallimard, Paris, 1931-1959 |
Glaeser G. Polthier K.
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A Mathematical Picture Book, Springer-Verlag, Berlin, 2013 ISBN 978-3-642-14647-3
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Pacioli L.
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Divine Proportion, Librairie du Compagnonnage, Paris, 1998, ISBN 2-901362-11-7
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Speiser D. |
Crossroads: History of Science, History of Art, Kim Williams Editor, Birkhauser, Bâle, 2011 |
Weyl H. |
Symmetry, Princeton University Press, 1952 |
Symétrie et mathématique moderne, Flammarion, Paris, 1964 |
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Liens historiques entre Arts et Mathématiques |
Alberti L.B.
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De la Peinture, De Pictura, Paris Macula Dédale, 1992
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Armann B.
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Roman Dodecahedron, The Math. Intelligencer 15 (1993), 52-53
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Armann B.
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A Roman icosahedron discovered, Am. Math. Monthly 103 (1996), 132-133.
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Armann B.
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Pictures of the Projective Plane
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Bessot D. Hellegouarch Y.
Le Goff J.-P.
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Destin de l'Art, Desseins de la Science (Actes du Colloque A.D.E.R.H.E.M., Université de Caen, 24-29 Octobre 1986), ADERHEM-CNRS, 1991 |
Cubisme
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http://fr.wikipedia.org/wiki/Cubisme
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Gillings R. J.
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Mathematics in the time of the Pharaohs, Dover, New-York, 1982
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Mirgidicyan E.
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Les surfaces réglées dans l'art du xxème siècle. Regards croisés sur les constructions d'Antoine Pevsner et de Naum Gabo, Thèse 2010, Bibliothèque Institut H. Poincaré
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Von Petzinger G.
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Geometric signs
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Texier P. et Alii
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A Howiesons Poort tradition of engraving ostrich eggshell containers dated to 60,000 years ago at Diepkloof Rock Shelter, South Africa, PNAS, April 6, 2010 | vol. 107 | no. 14, 6180–6185.
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Vitruve
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Architecture ou Art de bien Bâtir
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PEINTURE et GRAVURE Ouvrages |
Dali S. |
Oui, Méthode paranoïaque-critique et autres textes, Denoël/Gonthier, Paris, 1971
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Jeener P. |
Espaces gravés, Cedic/Nathan Paris, 1986 |
Kadinski W. |
Point et ligne sur un plan Gallimard, Paris, 1991 |
Du Spirituel dans l'art, et dans la peinture en particulier , Denoël, Paris, 1989
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De Vinci L. |
Traité de la Peinture, Jean de Bonnot, Paris, 1977 |
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PEINTURE et GRAVURE Pavages |
Castera J.M. Jolis H. |
Géométrie douce, Atelier 6 1/2, 1991 , ISBN 2950538908 |
P.N. Chung, M.A. Fernandez, Y. Li, M.Marz, F.Morgan, I. R. Plata, N. Shah, L.S. Vieira |
Isoperimetric Pentagonal Tilings, Notices AMS, May 2012, Vol. 59 (5), 632-640. |
Deledicq R.
Raba R. |
Le monde des pavages, ACL - Editions du Kangourou, Paris, 1977
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Dunham D. |
M.C. Escher's Use of the Poincaré Models of Hyperbolic Geometry in Mathematics
and Modern Art (C.P. Bruter Ed. Springer 2012) 69-77. |
Field M. |
The Design of 2-colour Wallpapers Patterns Using Mehtods Based on
Chaotic Dynamics and Symmetry, in Mathematics and Art (C.P. Bruter Ed., Springer 2002)
43-60. |
Field M. Golubtiski M. |
Symmetry in Chaos, Oxford University Press, 1992 |
Grünbaum B. Shephard G.C. |
Tilings and Patterns, Freeman and Co, New York, 1989 |
Munford D. Series C.-Wright D. |
Indra Pearls, The Vision of Felix Klein, Cambridge University Press, 2002 |
Raba R. |
Zoo mathématique, ACL - Editions du Kangourou, Paris, 1998 |
Redondo Buitrago A. Reyes Iglesias E. |
Geometry and Art from the Cordovan Proportion, in Mathematics and Modern Art (C.P. Bruter Ed. Springer 2012) 117-129 |
Tard F.
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Rhombopolyclonic Polygonal Rosettes Theory, in Mathematics and Modern Art (C.P. Bruter Ed. Springer 2012) 167-176
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PEINTURE et GRAVURE Perspective |
Bessot D. Hellegouarch Y.
Le Goff J.-P.
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Destin de l'Art, Desseins de la Science (Actes du Colloque A.D.E.R.H.E.M., Université de Caen, 24-29 Octobre 1986), ADERHEM-CNRS, 1991 |
Bruter C.P. |
Inititiation à la Perspective |
Termes D.
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http://www.termespheres.com/ |
http://termespheres.com/termesphere-that-show-how-perspective-works/
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PEINTURE et GRAVURE Surfaces |
Faber E.-Hauser H.
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Today's menu: Geometry and resolutions of singular algebraic surfaces, Bull. Am. Math. Soc. 47(3) 2010, 373-417
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Franzoni G.
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The Klein Bottle: Variations on a Theme, Notices of the AMS, vol 59, 8, 1076-1082.
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Hunt B.
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A Gallery of Algebraic Surfaces in Mathematics and Art (C.P. Bruter Ed.), Springer 2002, 237-266
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Jeener P.
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Graveur de Surfaces in Mathematics and Modern Art(C.P. Bruter Ed.) Springer 2012, 85-104
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Jeener P.
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My Mathematical Engravings in Mathematics and Modern Art(C.P. Bruter Ed.) Springer 2012, 85-104
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Palais R.
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A Mathematician and an Artist. The Story of a Collaboration in Mathematics and Modern Art (C.P. Bruter Ed.) Springer 2012, 1-9
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Glaeser G. Polthier K.
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A Mathematical Picture Book, Springer-Verlag, Berlin, 2013 ISBN 978-3-642-14647-3
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Polthier K.
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Polyhedral Surfaces of Constant Mean Curvature
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Salamon S.
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Dynamic Surfaces in Mathematics and Modern Art (C.P. Bruter Ed.) Springer 2012, 131-151
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Sullivan J.M.
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Pleasing Shapes for Topological Objects in Mathematics and Modern Art (C.P. Bruter Ed.) Springer 2012, 153-165
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Papers on algebraic surfaces |
http://www.imaginary-exhibition.com/mathematik.php?lang=en
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Websites
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EG-Models
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http://www.eg-models.de/models.html, look for Surfaces (52) : The list includes Algebraic, Mean Curvature, Minimal, Polyhedral, Riemann surfaces.
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3D-XplorMath
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http://3d-xplormath.org/, look for Surfaces.
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Weber M.
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Matthias Weber's Minimal Surface Site
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MATHCURVE |
http://www.mathcurve.com/
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DESSINER ET PEINTRE TO DRAW AND TO PAINT |
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Here is a list of some main public softwares for drawing and painting. Of course, to create
the best original works, it might sometimes
be better to write one's own software ... Several software in that list are free of charge and labelled F.
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General
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Javaview
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http://www.javaview.de/ F
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Maple
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http://www.maplesoft.com/
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Mathematica
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http://www.wolfram.com/mathematica/
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Mathlab
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http://www.mathworks.fr/products/matlab/
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Oorange
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http://www.polthier.info/articles/oorange/index.html
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Algebraic surfaces
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Surfer
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http://www.imaginary-exhibition.com/surfer.php F
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jsurfer
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http://www.imaginary-exhibition.com/jsurfer.php F
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Curves and surfaces
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3D-XplorMath
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http://3d-xplormath.org/ F
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Plane Curves
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Space Curves
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Surfaces
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Conformal Maps
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Polyhedra
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ODE
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Central Forces
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Lattice Models
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Waves
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Fractals & Chaos
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Differential geometry Grape F
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Knots
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http://knotplot.com/download/
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Entrelacs
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http://www.entrelacs.net/ F
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http://hypatiasoft.pagesperso-orange.fr/F_index.html#mozTocId14585 F/NF
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Plane geometry
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Geogebra F
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Cinderella
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Vectorial drawing
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Inkskape F
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Illustrator F/NF
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Painting
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Power Ray
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Painter
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Photos Retouching
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Gimp F
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ANALYSIS and "FREQUENTIAL" REPRESENTATION
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Cheng X. Hart J.V. WalkerJ.S
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Time frequency analysis of musical rhythm, Notices of the AMS 56 (3) 2009, 344-360
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Colonna J.F.
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Signal Processing [Traitement du Signal]
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Daubechies I.
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Van Eyck's Mystic Lamb
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Desolneux A. Mumford D.
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Pattern Theory, The Stochastic Analysis of Real World Signals AK Peters, 2010, ISBN 978-1-56881-579-4
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3D-OBJECTS and SCULPTURES |
Apéry F.
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Constructing Wire Models in Mathematics and Art, (C.P. Bruter Ed., Springer 2002), 179-200
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Apéry F.
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Old and New Mathematical Models: Saving the Heritage of the Institut Henri Poincaré, in Mathematics and Modern Art (C.P. Bruter Ed. Springer 2012), 17-27
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Charbonneau Ph.
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Rules Sculptures in Mathematics and Art, (C.P. Bruter Ed., Springer 2002), 233-236
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Dickson S.
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Tactile Mathematics in Mathematics and Art, (C.P. Bruter Ed., Springer 2002), 213-222
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Ferguson H. and C.
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Celebrating Mathematics in Stone and Bronze, Notices of the AMS, 57, 7 840-850
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Hart. G.W.
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Solid-Segment Sculptures in Mathematics and Art , (C.P. Bruter Ed., Springer 2002), 17-27
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Holden A. |
Shapes, Space, and Symmetry, Columbia University Press, New-York- London, 1971
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Kozlov D. |
Knots and Links As Form-Generating Structures in Mathematics and Modern Art (C.P. Bruter Ed. Springer 2012), 105-115
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Mirgidicyan E.
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Les surfaces réglées dans l'art du xxème siècle.
Regards croisés sur les constructions d'Antoine Pevsner et de Naum Gabo, Thèse 2010, Bibliothèque Institut H. Poincaré
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Rips Ph.
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Gallery 1 | Gallery 2 | Gallery 3 | Gallery 4
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Robinson J.
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Symbolic Sculptures in Mathematics and Art C.P. Bruter Ed., Springer 2002), 148-152
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Sullivan J.
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Minimal Flowers, Bridges Proceedings 2010, 395-398
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Termes D.
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http://www.termespheres.com
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POLYHEDRA |
Alexanderson G.
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Luca da Pacioli and Leonardo's drawings of polyhedra, Bull. AMS, 47, 3, 553-556.
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Cromwell P. R.
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Polyhedra, Cambridge University Press, 1997
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De Clipperleir X. |
Transforming Polyhedra
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Dezarnaud C.- Sevin A.
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Histoire des polyèdres, Vuibert, Paris, 2009.
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Hart. G.W.
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Solid-Segment Sculptures in Mathematics and Art , (C.P. Bruter Ed., Springer 2002), 17-27
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Pacioli L.
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Divine Proportion, Librairie du Compagnonnage, Paris, 1998, ISBN 2-901362-11-7
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POPULARISATION and PEDAGOGY |
Andreatta M.
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Activités pédagogiques et transmission des savoirs en mathématique/musique
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Baka P.
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http://www.mathsdance.com/
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Bruter C.P.
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Comprendre les Mathématiques Odile Jacob, Paris 1996, Introduction et Chapitre I : Sur la pertinence des mathématiques, Chapitre II : La mathématique, science expérimentale ? Chapitre III : Les leçons pédagogiques d'Henri Poincaré Chapitre IV : Degrés de rationalité en mathématiques
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Bruter C.P.
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Deux universaux de la décoration, Saverne
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Bruter C.P.
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Bonne Année | Part I | Part II | Part III | Part IV | Part V |
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Bruter C.P.
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Pâtisserie Mathématique | Part I | Part II | Part III | Part IV |
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Bruter C.P.
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An Introduction to the Construction of Some Mathematical Objects, in Mathematics and Modern Art (C.P. Bruter Ed. Springer 2012) 29-46
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Bruter C.P.
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L'oeuvre d'art mathématique, un outil pédagogique efficace
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Budin M.
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www.mathema.si
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Chartier T.
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Envisionning the Invisible Notices of the AMS, 57(1) 2010 24-28
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Constant J.
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Structure of Visualisation and Symmetry in Iterated Function Systems
in Mathematics and Modern Art (C.P. Bruter Ed. Springer 2012) 53-67 |
Centre for the (C.P. Bruter Ed. Springer 2012) 53-67
Popularisation
of Mathematics
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http://www.popmath.org.uk/centre/index.html
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Dedò M.
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Machines for Building Symmetries in Mathematics and Art, (C.P. Bruter Ed., Springer 2002) 61-77 Maria Dedò
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Forum
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How Art Can Help the Teaching of Mathematics ? in Mathematics and Art, (C.P. Bruter Ed., Springer 2002)(with the participation of Claude-Paul Bruter (153-154), Ronnie Brown (155-159), Manuel Arala-Chaves (160-165), Michele Emmer (166-167), Michael Field (168-172))
R. Brown, C.P. Bruter, M. Chaves, M. Emmer, M. Field.
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Guedj D.
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Le Théorème du Perroquet Le Seuil, Paris, 1998
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Guedj D.
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Zéro, ou les cinq vies d'Aémer Robert Laffont, Paris, 2005
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Kalantari B.
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Polynomial Root-Finding and Polynomiography, World Scientific, 2009.
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Gruel G.-M. Matt A.D.
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Imaginary Travelling Exhibition Catalogue Mathematisches Forschunginstitut Oberwolfach 2008 ISBN 978-3-00-026939-4
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Mayer M. | Reflex |
Sylvander B. |
L'île logique |
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VISUALIZATION TOWARDS MATHEMATICS
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Crass S.
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Solving Polynomial by Iteration, An Aesthetic Approach in Mathematics and Art, (C.P. Bruter Ed., Springer 2002) 95-104
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Hubbard J.
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Visualization and Dynamical Systems in Mathematics and Art (C.P. Bruter Ed., Springer 2002) 91-94
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Polthier K.
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Visualizing Mathematics-Online in Mathematics and Art (C.P. Bruter Ed., Springer 2002) 29-42
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Sazdanovic R.
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Diagrammatics in Art and Mathematics Symmetry 2012, 4(2), 285-301
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Wegert E.-Semmler G.
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Phase Plots of Complex Functions: A journey in Illustration, Notices of the A.M.S., 58 (6) 2011, 768-780.
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VISUALIZATION, FILMS and VIDEOS Looking for instance at The Optiverse, you will find a large collection of mathematical videos on youtube |
Alvarez A.-Ghys E.-Leys J. |
Dimensions, une promenade mathématique |
Brunet J. |
Like a Dream |
De Clippeleir X. |
Animated gifs of the transforming cube |
Francis G.-Levy. S.-Sullivan J.M. |
The Optiverse |
Polthier K. |
Videos |
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MUSIQUE et INSTRUMENTS |
Agon C. Amiot E.
Andreatta M.
Assayag G.
Bresson J.
Manderau J.(Ed.)
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Mathematics and Computation in Music. Proceedings of the third
International Conference of the Mathematics and Computation in Music. Paris, June 15-17, 2011 Lecture Notes in Computer Science / Lecture Notes in Artificial Intelligence, Springer, 2011
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Andreatta M. |
Mathematica est exercitium musicae, la recherche mathémusicale et
ses interactions avec les autres disciplines |
Bruner R.
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Mathematical music visualization: the sphere, the Moore space, the Joker
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Celibidache S.
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La Musique n'est Rien Actes Sud, Paris, 2012
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Charnoz G.
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Démystifier la Théorie musicale Editions du Makar, Paris, 2001
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Cheng X. Hart J.V. WalkerJ.S
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Time frequency analysis of musical rhythm, Notices of the AMS 56 (3) 2009, 344-360
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Daniélou A.
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Sémantique Musicale, Hermann, Paris, 1967
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Don G.W. Muir K.K. Volk G.B. Walker J.S.
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Music: Broken symmetry, geometry, and complexity, Notices of the AMS 57 (1) 2010, 30-49
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Goodman J.E.
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On Hearing the Sound of a Theorem, Notices of the AMS 58 (10) 2011, 1409
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Hart V.
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Mathematics and Music Boxes in Mathematics and Modern Art , (C.P. Bruter Ed.) Springer 2012, 79-83
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Hellegouarch Y.
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L'Essai d'un nouvelle théorie de la musique" de Léonhard Euler in Destin de l'Art, Desseins de la Science, (Actes du Colloque A.D.E.R.H.E.M., Université de Caen, 24-29 Octobre 1986), ADERHEM-CNRS, 1991 pp 46-88
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Hellegouarch Y.
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A Mathematical Interpretation of Expressive Intonation in Mathematics and Art (C.P. Bruter Ed.), Springer 2002, 141-148
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Hoffman-Jablan J.
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Symmetry of Musical Work
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Johnson T.
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Mathematical musical archives
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Machabey A.
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Quelques savants-musiciens à l'époque de Mersenne Revue d'histoire des Sciences et de leur applications, 11 (3) 1958, 193-206
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Neuwirth E.
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The Mathematics of Tuning Musical Instruments - a Simple Toolkit for Experiments in Mathematics and Art (C.P. Bruter Ed.), Springer 2002, 79-88
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Schneiderman R.
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Can One Hear the Sound of a Theorem, Notices of the AMS 58 (7) 2011, 929-937
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Schneiderman R.
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Response to Tymocko, Notices of the AMS 58 (10) 2011, 1048
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Simoes C.
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Mathematical Aspects of the Second Viennese School of Music in Mathematics and Art (C.P. Bruter Ed.), Springer 2002, 105-117
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Tymoczko D.
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The Geometry of Musical Chords, Science 313 (2006) 72-74
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Tymoczko D.
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A Geometry of Music, Oxford University Press, 2011
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Walker J.S.
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On the article of Schneiderman, Notices of the AMS 58 (10) 2011, 1408-1409
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Xenakis I.
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Musiques formelles, Le Revue Musicale, double numéro spécila 253-254, Paris, 1963
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