Connections: The Geometric Bridge Between Art and ScienceThe 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." |
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Inhalt
Proportion in Architecture | 1 |
Similarity | 35 |
The Golden Mean | 75 |
Graphs | 105 |
Tilings with Polygons | 167 |
TwoDimensional Networks and Lattices | 209 |
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 |
Supplements | 473 |
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 called cells chapter circle closed color congruent connected consider constructed corresponding created cube cuboctahedron curve defined described diagram directions dodecahedron domains drawn dual edges elements equal Equation example Exercise faces fact five fold four fundamental geometric given glide golden graph grid growth hexagons icosahedron identical illustrated intersecting kind known lattice length lines look mathematics mean mirror natural octahedron original pair parallel pattern pentagon placed plane platonic polygons polyhedra polyhedron position Problem projection properties proportion ratio rectangle refer reflection regular represented result rigid rotation rotocenters scale Section segments shape shown in Figure shows sides similar solids space sphere spiral square star structure surface surrounding symmetry Table tetrahedron Theorem tiling tion transformation translation triangles truncated unit vectors vertex vertices
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