Second Edition of Connections
by Jay Kappraff
In 1990, when the first version of Connections was published, it was one of rare books representing "the geometric bridge between art and science", and covering the large field: proportion in architecture, similarity, the golden mean, graphs, tilings with polygons, two-dimensional networks and latices, polyhedra (Platonic solids, their transformations and space fillings), isometric transformations and symmetries of the plane. It was the analythical exploration of the "grammar of space": a common language spaning the subjects of art, architecture, chemistry, biology, engineering, computer graphics, and mathematics.
The Second Edition reflects the most fundamental changes in the field since 1990: the ease of computer visualization, the communication through the Internet, electronic math/art journals (Nexus Network Journal, Visual Mathematics), the new access to software (for exploring fractals, tessellations, polyhedra, minimal surfaces), building kits (Zometool Geometry), and other constructive materials.
In 90-ties, after the pioneric contributions of A.L. Loeb in the field of Design Science and appearance of the first version of Connections, only few courses in Mathematics and Design were being taught. Now many faculties have discovered the satisfaction that can be derived from engaging students in the constructive activity of creating their own designs based on mathematical principles. Together with the eleven part series of videotapes Mathematics of Design and Workbook on Mathematics of Design by the same author, Connections can be used as a primary text in all math/art courses trying to break down the barriers between the arts and the sciences, and encourage students to explore the interfaces between these two human endeavors. For all the other readers interested in that interdisciplinary field, Connections are the invitation to the trip through the world of ideas, extraordinary constructions and discoveries made in history by artists, architects, designers, crystallographers, chemists, structural biologists, and all creative authors working with geometrical thinking.
Editor of "Visual Mathematics"