Author: Jay Kappraff
Publisher: World Scientific
Release Date: 2001
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."
Author: Jay Kappraff
Publisher: World Scientific
Release Date: 2001-11-28
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. Contents: Proportion in ArchitectureSimilarityThe Golden MeanGraphsTilings with PolygonsTwo-Dimensional Networks and LatticesPolyhedra: Platonic SolidsTransformation of the Platonic Solids ITransformation of the Platonic Solids IIPolyhedra: Space FillingIsometries and MirrorsSymmetry of the Plane Readership: Polytechnic students, architects, designers, mathematicians and general readers. Keywords:Design Science;Art;Architecture;Geometry;Polyhedra;Tilings;Graph Theory;Symmetry;Proportion;Golden MeanReviews: “This book, on the mathematics of natural and artful form, is a lively new entrant to the small shelf of those fine works.” Scientific American “If I had only one book in my library to which I refer for mathematics questions in art and architecture, this would be the one.” Nexus Network Journal “A worthy volume rediscovers the golden mean for readers in the postgeometry generation.” BYTE “… Kappraff's book is nothing less than the first textbook of design science.”Bulletin of the Buckminster Fuller Institute “This is no less than an early and strong move toward implementing Buckminster Fuller's call for a Comprehensive Anticipatory Design Science. Even a less-than-rigorous reading will convince you that something important is being presented here.” Whole Earth Review “For the visually oriented person with a hunger to understand pattern, Connections can be a bridge to a new world.” American Journal of Physics “A spectacular presentation of design science — ‘the grammar of space’ — that explores with rich details instances of similarity, proportion, tilings, graphs, lattices, polyhedra, isometries, and symmetry in art, architecture, engineering, and science. Punctuated with exercises and problems (thus making the monograph useful as a course or seminar text); illustrated with over 200 figures; supported by an extensive multi-disciplinary bibliography that is well-referenced to the text. A superb option for interdisciplinary seminars.” American Mathematical Monthly
Author: Kim Williams
Release Date: 2015-02-11
Every age and every culture has relied on the incorporation of mathematics in their works of architecture to imbue the built environment with meaning and order. Mathematics is also central to the production of architecture, to its methods of measurement, fabrication and analysis. This two-volume edited collection presents a detailed portrait of the ways in which two seemingly different disciplines are interconnected. Over almost 100 chapters it illustrates and examines the relationship between architecture and mathematics. Contributors of these chapters come from a wide range of disciplines and backgrounds: architects, mathematicians, historians, theoreticians, scientists and educators. Through this work, architecture may be seen and understood in a new light, by professionals as well as non-professionals. Volume II covers architecture from the Late Renaissance era, through Baroque, Ottoman, Enlightenment, Modern and contemporary styles and approaches. Key figures covered in this volume include Palladio, Michelangelo, Borromini, Sinan, Wren, Wright, Le Corbusier, Breuer, Niemeyer and Kahn. Mathematical themes which are considered include linear algebra, tiling and fractals and the geographic span of the volume’s content includes works in the United States of America and Australia, in addition to those in Europe and Asia.
At a time when political interest in mathematics education is at its highest, this book demonstrates that the issues are far from straightforward. A wide range of international contributors address such questions as: What is mathematics, and what is it for? What skills does mathematics education need to provide as technology advances? What are the implications for teacher education? What can we learn from past attempts to change the mathematics curriculum? Rethinking the Mathematics Curriculum offers stimulating discussions, showing much is to be learnt from the differences in culture, national expectations, and political restraints revealed in the book. This accessible book will be of particular interest to policy makers, curriculum developers, educators, researchers and employers as well as the general reader.
Explore the link between paperfolding and mathematics with this unique, well-illustrated guide to creating a world of multifaceted wonders that draws on elements of crystallography. Detailed instructions, clear diagrams.
Author: Hans Walser
Release Date: 2001-09-13
The Golden Section has played a part since antiquity in many parts of geometry, architecture, music, art and philosophy. However, it also appears in the newer domains of technology and fractals. This book aims both to describe examples of the Golden Section, and to show some paths to further developments.
The dialogue between art and science has powerfully shaped both endeavors since antiquity. Artists have been pioneering figures in disciplines from engineering to medicine, while scientists have decisively influenced our visual culture with their discoveries. In an authoritative and accessible text with over 200 diagrams and illustrations, Art and Science explores the fascinating history of this interaction for the first time. Throughout history, science and art have reflected similar values and used parallel tools and methods. Artists and scientists today are intrigued by the advancements in each other's fields. Artists are fascinated by atomic structure, the Big Bang, and DNA, while scientists try to explain theories with images that will embody "the beauty of their logic." Art and Science focuses on the most illuminating intersections of art and science: how science has shaped architecture, from Stonehenge to contemporary buildings that reflect research on DNA; how mathematical principles have impacted decorative design; how perceptual discoveries have influenced the development of painting; and how discoveries in the physical disciplines have transformed the performing arts, from music to movies. In a wide-ranging discussion across these and many other disciplines, this clearly written, well-illustrated volume provides an accessible introduction to an enduring dialogue.