Connections: The Geometric Bridge Between Art and Science

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World Scientific, 2001 - Mathematics - 486 pages
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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.
 

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Contents

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
Copyright

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About the author (2001)

The author is an Associate Professor at NJIT since 1974. Professor Jay Kapraff is also the author of the book ? Connections: The Geometric Bridge between Art and Science, which was chosen by the National Association of Publishers (USA) as the best book in ? Mathematics, Chemistry and Astronomy ? Professional and Reference? in 1991. He is selected for Who's Who in Science and Technology in 1983 and Who's Who in American Education in 1993. He has also received the CAPE award from Cable TV of NJ for best Distance Learning Course of 1996.

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