Math and art : an introduction to visual mathematics
Title:
Math and art : an introduction to visual mathematics
Author:
Kalajdzievski, Sasho, author.
ISBN:
9781584889137
Personal Author:
Physical Description:
xv, 254 pages, [16] pages of plates : illustrations (some color) ; 26 cm. + 1 CD-ROM.
General Note:
"A Chapman & Hall book."
Includes index.
Color figures and six animations on 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 Poincarâe 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.
Added Author:
Electronic Access:
Table of contents only http://www.loc.gov/catdir/toc/ecip084/2007046285.html