Ebook: Mathematics and Modern Art: Proceedings of the First ESMA Conference, held in Paris, July 19-22, 2010
- Genre: Mathematics
- Tags: Mathematics in Art and Architecture, Visualization, Geometry, Mathematics of Computing, Image Processing and Computer Vision
- Series: Springer Proceedings in Mathematics 18
- Year: 2012
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
The link between mathematics and art remains as strong today as it was in the earliest instances of decorative and ritual art. Arts, architecture, music and painting have for a long time been sources of new developments in mathematics, and vice versa. Many great painters have seen no contradiction between artistic and mathematical endeavors, contributing to the progress of both, using mathematical principles to guide their visual creativity, enriching their visual environment with the new objects created by the mathematical science.
Owing to the recent development of the so nice techniques for visualization, while mathematicians can better explore these new mathematical objects, artists can use them to emphasize their intrinsic beauty, and create quite new sceneries. This volume, the content of the first conference of the European Society for Mathematics and the Arts (ESMA), held in Paris in 2010, gives an overview on some significant and beautiful recent works where maths and art, including architecture and music, are interwoven.
The book includes a wealth of mathematical illustrations from several basic mathematical fields including classical geometry, topology, differential geometry, dynamical systems. Here, artists and mathematicians alike elucidate the thought processes and the tools used to create their work
The link between mathematics and art remains as strong today as it was in the earliest instances of decorative and ritual art. Arts, architecture, music and painting have for a long time been sources of new developments in mathematics, and vice versa. Many great painters have seen no contradiction between artistic and mathematical endeavors, contributing to the progress of both, using mathematical principles to guide their visual creativity, enriching their visual environment with the new objects created by the mathematical science.
Owing to the recent development of the so nice techniques for visualization, while mathematicians can better explore these new mathematical objects, artists can use them to emphasize their intrinsic beauty, and create quite new sceneries. This volume, the content of the first conference of the European Society for Mathematics and the Arts (ESMA), held in Paris in 2010, gives an overview on some significant and beautiful recent works where maths and art, including architecture and music, are interwoven.
The book includes a wealth of mathematical illustrations from several basic mathematical fields including classical geometry, topology, differential geometry, dynamical systems. Here, artists and mathematicians alike elucidate the thought processes and the tools used to create their work
The link between mathematics and art remains as strong today as it was in the earliest instances of decorative and ritual art. Arts, architecture, music and painting have for a long time been sources of new developments in mathematics, and vice versa. Many great painters have seen no contradiction between artistic and mathematical endeavors, contributing to the progress of both, using mathematical principles to guide their visual creativity, enriching their visual environment with the new objects created by the mathematical science.
Owing to the recent development of the so nice techniques for visualization, while mathematicians can better explore these new mathematical objects, artists can use them to emphasize their intrinsic beauty, and create quite new sceneries. This volume, the content of the first conference of the European Society for Mathematics and the Arts (ESMA), held in Paris in 2010, gives an overview on some significant and beautiful recent works where maths and art, including architecture and music, are interwoven.
The book includes a wealth of mathematical illustrations from several basic mathematical fields including classical geometry, topology, differential geometry, dynamical systems. Here, artists and mathematicians alike elucidate the thought processes and the tools used to create their work
Content:
Front Matter....Pages i-viii
A Mathematician and an Artist. The Story of a Collaboration....Pages 1-9
Dimensions, a Math Movie....Pages 11-16
Old and New Mathematical Models: Saving the Heritage of the Institut Henri Poincar?....Pages 17-27
An Introduction to the Construction of Some Mathematical Objects....Pages 29-46
Computer, Mathematics and Art....Pages 47-52
Structure of Visualization and Symmetry in Iterated Function Systems....Pages 53-67
M.C. Escher’s Use of the Poincar? Models of Hyperbolic Geometry....Pages 69-77
Mathematics and Music Boxes....Pages 79-84
My Mathematical Engravings....Pages 85-104
Knots and Links As Form-Generating Structures....Pages 105-115
Geometry and Art from the Cordovan Proportion....Pages 117-129
Dynamic Surfaces....Pages 131-151
Pleasing Shapes for Topological Objects....Pages 153-165
Rhombopolyclonic Polygonal Rosettes Theory....Pages 167-176
Back Matter....Pages 177-178
The link between mathematics and art remains as strong today as it was in the earliest instances of decorative and ritual art. Arts, architecture, music and painting have for a long time been sources of new developments in mathematics, and vice versa. Many great painters have seen no contradiction between artistic and mathematical endeavors, contributing to the progress of both, using mathematical principles to guide their visual creativity, enriching their visual environment with the new objects created by the mathematical science.
Owing to the recent development of the so nice techniques for visualization, while mathematicians can better explore these new mathematical objects, artists can use them to emphasize their intrinsic beauty, and create quite new sceneries. This volume, the content of the first conference of the European Society for Mathematics and the Arts (ESMA), held in Paris in 2010, gives an overview on some significant and beautiful recent works where maths and art, including architecture and music, are interwoven.
The book includes a wealth of mathematical illustrations from several basic mathematical fields including classical geometry, topology, differential geometry, dynamical systems. Here, artists and mathematicians alike elucidate the thought processes and the tools used to create their work
Content:
Front Matter....Pages i-viii
A Mathematician and an Artist. The Story of a Collaboration....Pages 1-9
Dimensions, a Math Movie....Pages 11-16
Old and New Mathematical Models: Saving the Heritage of the Institut Henri Poincar?....Pages 17-27
An Introduction to the Construction of Some Mathematical Objects....Pages 29-46
Computer, Mathematics and Art....Pages 47-52
Structure of Visualization and Symmetry in Iterated Function Systems....Pages 53-67
M.C. Escher’s Use of the Poincar? Models of Hyperbolic Geometry....Pages 69-77
Mathematics and Music Boxes....Pages 79-84
My Mathematical Engravings....Pages 85-104
Knots and Links As Form-Generating Structures....Pages 105-115
Geometry and Art from the Cordovan Proportion....Pages 117-129
Dynamic Surfaces....Pages 131-151
Pleasing Shapes for Topological Objects....Pages 153-165
Rhombopolyclonic Polygonal Rosettes Theory....Pages 167-176
Back Matter....Pages 177-178
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