TY - BOOK AU - Kalajdzievski,Sasho AU - Padmanabhan,Ranganathan TI - Math and art: an introduction to visual mathematics SN - 1584889136 U1 - 510 PY - 2008/// CY - Boca Raton, FL PB - CRC Press KW - Diseño KW - Geometría N1 - 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 UR - http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=016956970&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA UR - http://catdir.loc.gov/catdir/toc/ecip084/2007046285.html ER -