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 ?Mathematics, Chemistry, and Astronomy ? Professional and Reference? 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. |
Inhalt
Proportion in Architecture | 1 |
Appendix 1 | 32 |
The Golden Mean | 75 |
Graphs | 105 |
41 | 139 |
52 | 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
access graph angle archimedean archimedean solids bracing called cell circle color compass and straightedge congruent connected constructed corresponding crystal cube cuboctahedron curve defined diagonal diagram dihedral dodecahedron domains dots dual elements enantiomorphic Equation example faces Fibonacci floor plan four geometric glide reflection golden mean grid hexagons icosahedron intersect Islamic isometries isomorphic K-dron Lalvani lattice points length line segments Loeb M. C. Escher mathematical mirror lines Möbius strip Modulor nonplanar octahedron pair parallel pattern Penrose tilings pentagon perpendicular planar graph platonic polyhedra platonic solids polyhedron Problem projection ratio rectangle regular maps regular tilings result right triangle rigid rotation rotocenters scale Section self-similar semiregular tilings shown in Figure shows snub soap space space-filling sphere spiral star polygons structure subgraph surface surrounding symmetry tetrahedron Theorem three-dimensional tile the plane tion torus transformed triangular truncated truncated octahedron vectors vertices zonogons zonohedra
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