De la Peinture, De Pictura, Paris Macula Dédale, 1992 |
Luca da Pacioli and Leonardo's drawings of polyhedra, Bull. AMS, 47, 3, 553-556. |
Dimensions, une promenade mathématique |
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 |
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, Springe |
Mathematica est exercitium musicae, la recherche mathémusicale et ses interactions avec les autres disciplines |
Activités pédagogiques et transmission des savoirs en mathématique/musique |
Constructing Wire Models in Mathematics and Art, (C.P. Bruter Ed., Springer 2002), 179-200 |
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 |
Roman Dodecahedron, The Math. Intelligencer 15 (1993), 52-53 |
A Roman icosahedron discovered, Am. Math. Monthly 103 (1996), 132-133 |
Pictures of the Projective Plane |
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 |
http://www.mathsdance.com/ |
Beyond the third dimension, Scientific American Library, Freeman &Co, New York, 1990 |
Pavages du plan, Journées mathématiques X-UPS 2001, Les Éditions de l'Ecole Polytechnique, pp 1-48 |
Géométrie Vivante ou l'Echelle de Jacob, Cassini, Paris, 2009 ISBN978-2-84225-035-5 |
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 |
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 |
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 |
Mathematical music visualization: the sphere, the Moore space, the Joker |
Like a Dream |
Deux universaux de la décoration, Saverne |
Inititiation à la Perspective |
Comprendre les Mathématiques Odile Jacob, Paris 1996, Introduction et Chapitre I : Sur la pertinence des mathématiques, Chapitre II : La mathématique, science expérimentale |
Deux universaux de la décoration, Saverne |
Bonne Année | Part I | Part II | Part III | Part IV |
Pâtisserie Mathématique | Part I | Part II | Part III | Part IV |
An Introduction to the Construction of Some Mathematical Objects, in Mathematics and Modern Art (C.P. Bruter Ed. Springer 2012) 29-46 |
L'oeuvre d'art mathématique, un outil pédagogique efficace |
www.mathema.si |
Géométrie douce, Atelier 6 1/2, 1991, ISBN 2950538908 |
La Musique n'est Rien Actes Sud, Paris, 2012 |
Rules Sculptures in Mathematics and Art, (C.P. Bruter Ed., Springer 2002), 233-236 |
Démystifier la Théorie musicale Editions du Makar, Paris, 2001 |
Envisionning the Invisible Notices of the AMS, 57(1) 2010 24-28 |
Time frequency analysis of musical rhythm, Notices of the AMS 56 (3) 2009, 344-360 |
Time frequency analysis of musical rhythm, Notices of the AMS 56 (3) 2009, 344-360 |
Isoperimetric Pentagonal Tilings, Notices AMS, May 2012, Vol. 59 (5), 632-640 |
Signal Processing [Traitement du Signal] |
Structure of Visualisation and Symmetry in Iterated Function Systems in Mathematics and Modern Art (C.P. Bruter Ed. Springer 2012) 53-67 |
Solving Polynomial by Iteration, An Aesthetic Approach in Mathematics and Art, (C.P. Bruter Ed., Springer 2002) 95-104 |
Polyhedra, Cambridge University Press, 1997 |
http://fr.wikipedia.org/wiki/Cubisme |
Oui, Méthode paranoïaque-critique et autres textes, Denoël/Gonthier, Paris, 1971 |
Sémantique Musicale, Hermann, Paris, 1967 |
Symmetry, Birkhauser Verlag AG, Bâle-Berlin-Boston, 2007 |
Van Eyck's Mystic Lamb |
Transforming Polyhedra |
Animated gifs of the transforming cube |
Traité de la Peinture, Jean de Bonnot, Paris, 1977 |
Machines for Building Symmetries in Mathematics and Art, (C.P. Bruter Ed., Springer 2002) 61-77 |
Le monde des pavages, ACL - Editions du Kangourou, Paris, 1977 |
Pattern Theory, The Stochastic Analysis of Real World Signals AK Peters, 2010, ISBN 978-1-56881-579-4 |
Histoire des polyèdres, Vuibert, Paris, 2009. |
Tactile Mathematics in Mathematics and Art, (C.P. Bruter Ed., Springer 2002), 213-222 |
Music: Broken symmetry, geometry, and complexity, Notices of the AMS 57 (1) 2010, 30-49 |
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. |
Géométrie, Préface J. Peiffer, Editions du Seuil, Paris, 1995 |
The Visual Mind I, Leonardo, The MIT Press, Cambridge, 1993 |
The Visual Mind II, Leonardo, The MIT Press, Cambridge, 2006 |
Today's menu: Geometry and resolutions of singular algebraic surfaces, Bull. Am. Math. Soc. 47(3) 2010, 373-417 |
Forbidden Symmetries , Notices of the AMS, 59 (10), 2012 pp.1386-1390 |
Celebrating Mathematics in Stone and Bronze, Notices of the AMS, 57, 7 840-850 |
Isoperimetric Pentagonal Tilings, Notices AMS, May 2012, Vol. 59 (5), 632-640 |
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. |
Symmetry in Chaos, Oxford University Press, 1992 |
The Optiverse |
The Klein Bottle: Variations on a Theme, Notices of the AMS, vol 59, 8, 1076-1082. |
Programme et galerie, Journées mathématiques X-UPS 2001, Les Éditions de l'Ecole Polytechnique, pp 77-89. |
Le Nombre d'Or, Gallimard, Paris, 1931-1959 |
>Dimensions, une promenade mathématique |
A Mathematical Picture Book, Springer-Verlag, Berlin, 2013 ISBN 978-3-642-14647-3 |
A Mathematical Picture Book, Springer-Verlag, Berlin, 2013 ISBN 978-3-642-14647-3 |
Symmetry in Chaos, Oxford University Press, 1992 |
On Hearing the Sound of a Theorem, Notices of the AMS 58 (10) 2011, 1409 |
Imaginary Travelling Exhibition Catalogue Mathematisches Forschunginstitut Oberwolfach 2008 ISBN 978-3-00-026939-4 |
Tilings and Patterns, Freeman and Co, New York, 1989 |
Le Théorème du Perroquet Le Seuil, Paris, 1998 |
Zéro, ou les cinq vies d'Aémer Robert Laffont, Paris, 2005 |
Time frequency analysis of musical rhythm, Notices of the AMS 56 (3) 2009, 344-360 |
Time frequency analysis of musical rhythm, Notices of the AMS 56 (3) 2009, 344-360 |
Mathematics and Music Boxes in Mathematics and Modern Art , (C.P. Bruter Ed.) Springer 2012, 79-83 |
Solid-Segment Sculptures in Mathematics and Art , (C.P. Bruter Ed., Springer 2002), 17-27 |
Solid-Segment Sculptures in Mathematics and Art , (C.P. Bruter Ed., Springer 2002), 17-27 |
Today's menu: Geometry and resolutions of singular algebraic surfaces, Bull. Am. Math. Soc. 47(3) 2010, 373-417 |
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 |
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 |
A Mathematical Interpretation of Expressive Intonation in Mathematics and Art (C.P. Bruter Ed.), Springer 2002, 141-148 |
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 |
Symmetry of Musical Work |
Shapes, Space, and Symmetry, Columbia University Press, New-York- London, 1971 |
Shapes, Space, and Symmetry, Columbia University Press, New-York- London, 1971 |
Visualization and Dynamical Systems in Mathematics and Art (C.P. Bruter Ed., Springer 2002) 91-94 |
A Gallery of Algebraic Surfaces in Mathematics and Art (C.P. Bruter Ed.), Springer 2002, 237-266 |
Espaces gravés, Cedic/Nathan Paris, 1986 |
Graveur de Surfaces in Mathematics and Modern Art(C.P. Bruter Ed.) Springer 2012, 85-104 |
My Mathematical Engravings in Mathematics and Modern Art(C.P. Bruter Ed.) Springer 2012, 85-104 |
Mathematical musical archives |
Géométrie douce, Atelier 6 1/2, 1991, ISBN 2950538908 |
Polynomial Root-Finding and Polynomiography, World Scientific, 2009. |
Point et ligne sur un plan Gallimard, Paris, 1991 |
Du Spirituel dans l'art, et dans la peinture en particulier , Denoël, Paris, 1989 |
Pavages aléatoires par dimères, Journées mathématiques X-UPS 2001, Les Éditions de l'Ecole Polytechnique, pp 91-103. |
Knots and Links As Form-Generating Structures in Mathematics and Modern Art (C.P. Bruter Ed. Springer 2012), 105-115 |
Pavages, Journées mathématiques X-UPS 2001, Les Éditions de l'Ecole Polytechnique, pp 49-75. |
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 |
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 |
The Optiverse |
>Dimensions, une promenade mathématique |
Isoperimetric Pentagonal Tilings, Notices AMS, May 2012, Vol. 59 (5), 632-640 |
Quelques savants-musiciens à l'époque de Mersenne Revue d'histoire des Sciences et de leur applications, 11 (3) 1958, 193-206 |
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 |
Isoperimetric Pentagonal Tilings, Notices AMS, May 2012, Vol. 59 (5), 632-640 |
Imaginary Travelling Exhibition Catalogue Mathematisches Forschunginstitut Oberwolfach 2008 ISBN 978-3-00-026939-4 |
Reflex |
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 |
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 |
Music: Broken symmetry, geometry, and complexity, Notices of the AMS 57 (1) 2010, 30-49 |
Indra Pearls, The Vision of Felix Klein, Cambridge University Press, 2002 |
Pattern Theory, The Stochastic Analysis of Real World Signals AK Peters, 2010, ISBN 978-1-56881-579-4 |
The Mathematics of Tuning Musical Instruments - a Simple Toolkit for Experiments in Mathematics and Art (C.P. Bruter Ed.), Springer 2002, 79-88 |
Divine Proportion, Librairie du Compagnonnage, Paris, 1998, ISBN 2-901362-11-7 |
Divine Proportion, Librairie du Compagnonnage, Paris, 1998, ISBN 2-901362-11-7 |
A Mathematician and an Artist. The Story of a Collaboration in Mathematics and Modern Art (C.P. Bruter Ed.) Springer 2012, 1-9 |
Isoperimetric Pentagonal Tilings, Notices AMS, May 2012, Vol. 59 (5), 632-640 |
A Mathematical Picture Book, Springer-Verlag, Berlin, 2013 ISBN 978-3-642-14647-3 |
A Mathematical Picture Book, Springer-Verlag, Berlin, 2013 ISBN 978-3-642-14647-3 |
Polyhedral Surfaces of Constant Mean Curvature |
Videos |
Visualizing Mathematics-Online in Mathematics and Art (C.P. Bruter Ed., Springer 2002) 29-42 |
Le monde des pavages, ACL - Editions du Kangourou, Paris, 1977 |
Zoo mathématique, ACL - Editions du Kangourou, Paris, 1998 |
Geometry and Art from the Cordovan Proportion, in Mathematics and Modern Art (C.P. Bruter Ed. Springer 2012) 117-129 |
Geometry and Art from the Cordovan Proportion, in Mathematics and Modern Art (C.P. Bruter Ed. Springer 2012) 117-129 |
Gallery 1 | Gallery 2 | Gallery 3 | Gallery 4 |
Symbolic Sculptures in Mathematics and Art C.P. Bruter Ed., Springer 2002), 148-152 |
Dynamic Surfaces in Mathematics and Modern Art (C.P. Bruter Ed.) Springer 2012, 131-151 |
Diagrammatics in Art and Mathematics Symmetry 2012, 4(2), 285-301 |
Can One Hear the Sound of a Theorem, Notices of the AMS 58 (7) 2011, 929-937 |
Response to Tymocko, Notices of the AMS 58 (10) 2011, 1048 |
Phase Plots of Complex Functions: A journey in Illustration, Notices of the A.M.S., 58 (6) 2011, 768-780. |
Indra Pearls, The Vision of Felix Klein, Cambridge University Press, 2002 |
Isoperimetric Pentagonal Tilings, Notices AMS, May 2012, Vol. 59 (5), 632-640 |
Tilings and Patterns, Freeman and Co, New York, 1989 |
Mathematical Aspects of the Second Viennese School of Music in Mathematics and Art (C.P. Bruter Ed.), Springer 2002, 105-117 |
Geometries, AMS Publication, vol 64, 2012 |
Crossroads: History of Science, History of Art, Kim Williams Editor, Birkhauser, Bâle, 2011 |
Pleasing Shapes for Topological Objects in Mathematics and Modern Art (C.P. Bruter Ed.) Springer 2012, 153-165 |
Minimal Flowers, Bridges Proceedings 2010, 395-398 |
The Optiverse |
L'île logique |
Rhombopolyclonic Polygonal Rosettes Theory, in Mathematics and Modern Art (C.P. Bruter Ed. Springer 2012) 167-176 |
http://www.termespheres.com/ | http://termespheres.com/termesphere-that-show-how-perspective-works/ |
http://www.termespheres.com |
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. |
The Geometry of Musical Chords, Science 313 (2006) 72-74 |
A Geometry of Music, Oxford University Press, 2011 |
Isoperimetric Pentagonal Tilings, Notices AMS, May 2012, Vol. 59 (5), 632-640 |
Architecture ou Art de bien Bâtir |
Music: Broken symmetry, geometry, and complexity, Notices of the AMS 57 (1) 2010, 30-49 |
Geometric signs |
Time frequency analysis of musical rhythm, Notices of the AMS 56 (3) 2009, 344-360 |
Music: Broken symmetry, geometry, and complexity, Notices of the AMS 57 (1) 2010, 30-49 |
On the article of Schneiderman, Notices of the AMS 58 (10) 2011, 1408-1409 |
Time frequency analysis of musical rhythm, Notices of the AMS 56 (3) 2009, 344-360 |
Phase Plots of Complex Functions: A journey in Illustration, Notices of the A.M.S., 58 (6) 2011, 768-780. |
Symmetry, Princeton University Press, 1952 |
Symétrie et mathématique moderne, Flammarion, Paris, 1964 |
Indra Pearls, The Vision of Felix Klein, Cambridge University Press, 2002 |
Musiques formelles, Le Revue Musicale, double numéro spécila 253-254, Paris, 1963 |