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Math and art : an introduction to visual mathematics

Author: Sasho Kalajdzievski; R Padmanabhan
Publisher: Boca Raton : CRC Press, ©2008.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
"Math and Art: An Introduction to Visual Mathematics explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics. With a CD-ROM and a 16-page full-color insert, it includes numerous illustrations, computer-generated graphics, photographs, and art reproductions to demonstrate how mathematics can inspire art." "The book stresses an understanding of the  Read more...
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Genre/Form: Einführung
Additional Physical Format: Online version:
Kalajdzievski, Sasho.
Math and art.
Boca Raton : CRC Press, ©2008
(OCoLC)624583239
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Sasho Kalajdzievski; R Padmanabhan
ISBN: 9781584889137 1584889136
OCLC Number: 181862598
Notes: "A Chapman & Hall book."
Includes index.
Color figures and six animations on CD-ROM.
Description: xv, 254 pages, [16] pages of plates : illustrations (some color) ; 26 cm + 1 CD-ROM
Contents: 1. Euclidean geometry : The five axioms of Euclidean geometry ; Ruler and compass constructions ; The golden ratio ; Fibonacci numbers --
2. Plane transformations : Plane symmetries ; Plane symmetries, vectors, and matrices (optional) ; Groups of symmetries of planar objects ; Frieze patterns ; Wallpaper designs and tilings of the plane ; Tilings and art --
3. Similarities, fractals, and cellular automata : Similarities and some other planar transformations ; Complex numbers (optional) ; Fractals: definition and some examples ; Julia sets ; Cellular automata --
4. Hyperbolic geometry : Non-Euclidean geometries: background and some history ; Inversion ; Hyperbolic geometry ; Some basic constructions in the Poincaré model ; Tilings of the hyperbolic plane --
5. Perspective and some three-dimensional objects : Perspective ; Mathematics of perspective drawing: a brief overview (optional) ; Regular and other polyhedra ; Sphere, cylinder, cone, and conic sections ; Geometry, tilings, Fractals, and cellular automata in three dimensions --
6. Topology : Homotopy of spaces: an informal introduction ; Two-manifolds and the Euler characteristic ; Non-orientable two-manifolds and three-manifolds.
Responsibility: Sasho Kalajdzievski ; in collaboration with R. Padmanabhan.
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Abstract:

Explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics. This title includes numerous illustrations, computer-generated graphics,  Read more...

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