Connections: The Geometric Bridge Between Art and Science

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World Scientific, 2001 - 486 Seiten
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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."
 

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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
New References for the Second Edition 487
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