Connections: The Geometric Bridge Between Art and ScienceWorld Scientific, 2001 - 486 Seiten The first edition of Connections was chosen by the National Association of Publishers (USA) as the best book in OC Mathematics, Chemistry, and Astronomy OCo Professional and ReferenceOCO in 1991. It has been a comprehensive reference in design science, bringing together in a single volume material from the areas of proportion in architecture and design, tilings and patterns, polyhedra, and symmetry. The book presents both theory and practice and has more than 750 illustrations. It is suitable for research in a variety of fields and as an aid to teaching a course in the mathematics of design. It has been influential in stimulating the burgeoning interest in the relationship between mathematics and design. In the second edition there are five new sections, supplementary, as well as a new preface describing the advances in design science since the publication of the first edition. Contents: Proportion in Architecture; Similarity; The Golden Mean; Graphs; Tilings with Polygons; Two-Dimensional Networks and Lattices; Polyhedra: Platonic Solids; Transformation of the Platonic Solids I; Transformation of the Platonic Solids II; Polyhedra: Space Filling; Isometries and Mirrors; Symmetry of the Plane. Readership: Polytechnic students, architects, designers, mathematicians and general readers." |
Im Buch
Seite 455
... Excursions into Mathematics . New York : Worth ( 1969 ) . Benade , A. A. , Fundamentals of Musical Acoustics . New York : Oxford Univ . Press ( 1976 ) . Bentley , W. A. , and Humphreys , W. J. , Snow Crystals . New York : Dover ( 1962 ) ...
... Excursions into Mathematics . New York : Worth ( 1969 ) . Benade , A. A. , Fundamentals of Musical Acoustics . New York : Oxford Univ . Press ( 1976 ) . Bentley , W. A. , and Humphreys , W. J. , Snow Crystals . New York : Dover ( 1962 ) ...
Inhalt
Proportion in Architecture | 1 |
Appendix 1 | 32 |
The Golden Mean | 75 |
Graphs | 105 |
41 | 139 |
១ ឌ ឌឌន | 146 |
63 | 161 |
Tilings with Polygons | 167 |
75 | 240 |
Platonic Solids | 255 |
Transformation of the Platonic Solids I | 295 |
Transformation of the Platonic Solids II | 327 |
Space Filling | 347 |
Isometries and Mirrors | 383 |
Symmetry of the Plane | 405 |
Epilogue | 453 |
Andere Ausgaben - Alle anzeigen
Connections: The Geometric Bridge Between Art and Science Jay Kappraff Eingeschränkte Leseprobe - 2001 |
Connections: The Geometric Bridge Between Art and Science Jay Kappraff Eingeschränkte Leseprobe - 2001 |
Häufige Begriffe und Wortgruppen
additional angle appear bracing called cell chapter circle closed color congruent connected consider constructed corresponding created cube curve defined described diagram directions dodecahedron domains drawing drawn dual edges elements equal Equation example Exercise faces fact five four fundamental geometric given golden graph grid hexagons icosahedron identical illustrated intersect kind lattice length lines look mathematical mean mirror nature octahedron original pair parallel path pattern pentagon placed plane platonic polygons polyhedra polyhedron position possible Problem projection properties proportion ratio rectangle refer reflection regular represented result rigid rotation scale Section shape shown in Figure shows sides similar solids space sphere spiral square star structure surface surrounding symmetry tetrahedron Theorem tiling tion torus transformed translation triangles triangular truncated unit vectors vertex vertices
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