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Shape grammars provide a means for the recursive specification of shapes. The formalism for shape grammars is designed to be easily usable and understandable by people and at the same time to be adaptable for use in computer programs. Shape grammars are similar to phrase structura grammars, which were developed by Chomsky [ 1956, 1957]. Where a phrase structura grammar is defined over an alphabet of symbols and generates a language of sequences of symbols, a shape grammar is defined over an alphabet of shapes and generates a language of shapes. This dissertation explores the uses of shape grammars. The dissertation is divided into three sections and an appendix. In the first section: Shape grammars are defined. Some simple examples are given for instructiva purposes. Shape grammars are used to generate a new class of reversible figures. Shape grammars are given for some well-known mathematical curves (the Snowflake curve, a variation of Peano's curve, and Hilbert's curve). To show the general computational power of shape grammars, a procedura that given any Turing machine constructs a shape grammar that simulates the operation of that Turing machine is presented. Related work on various formalisms for pictura grammars is described. A symbolic characterization of shape grammars is given that is useful for implementing shape grammars in computer programs.
Shape grammars provide a means for the recursive specification of shapes. The formalism for shape grammars is designed to be easily usable and understandable by people and at the same time to be adaptable for use in computer programs. Shape grammars are similar to phrase structura grammars, which were developed by Chomsky [ 1956, 1957]. Where a phrase structura grammar is defined over an alphabet of symbols and generates a language of sequences of symbols, a shape grammar is defined over an alphabet of shapes and generates a language of shapes. This dissertation explores the uses of shape grammars. The dissertation is divided into three sections and an appendix. In the first section: Shape grammars are defined. Some simple examples are given for instructiva purposes. Shape grammars are used to generate a new class of reversible figures. Shape grammars are given for some well-known mathematical curves (the Snowflake curve, a variation of Peano's curve, and Hilbert's curve). To show the general computational power of shape grammars, a procedura that given any Turing machine constructs a shape grammar that simulates the operation of that Turing machine is presented. Related work on various formalisms for pictura grammars is described. A symbolic characterization of shape grammars is given that is useful for implementing shape grammars in computer programs.
This book illustrates syntactically derived and grammatically interpolated approaches for architectural configuration, analysis, and design generation
How design is calculating with shapes: formal details and design applications.
The importance of research and education in design continues to grow. For example, government agencies are gradually increasing funding of design research, and increasing numbers of engineering schools are revising their curricula to emphasize design. This is because of an increasing realization that design is part of the wealth creation of a nation and needs to be better understood and taught. The continuing globalization of industry and trade has required nations to re-examine where their core contributions lie if not in production efficiency. Design is a precursor to manufacturing for phy- cal objects and is the precursor to implementation for virtual objects. At the same time, the need for sustainable development is requiring design of new products and processes, and feeding a movement towards design - novations and inventions. There are now three sources for design research: design computing, design cognition and human-centered information technology. The foun- tions for much of design computing remains artificial intelligence with its focus on ways of representation and on processes that support simulation and generation. Artificial intelligence continues to provide an environm- tally rich paradigm within which design research based on computational constructions can be carried out. Design cognition is founded on concepts from cognitive science, an even newer area than artificial intelligence. It provides tools and methods to study human designers in both laboratory and practice settings.
Chinese craft design excelled in the manipulation of geometric space and reached its highest point in the design of window lattices on Chinese houses. Long recognized as an important folk art, window lattices have been generally neglected as an art form and this book is the first work on the subject since the 17th century. Fortunately, it is also the definitive work on the subject, and though no book can present a complete coverage of Chinese lattice, this book is a great classic study and an incredibly rich source of design for Westerners. More than 1200 designs are shown here, arranged in a clear system of classification that includes 22 areas of related design — borders, brackets, tail pieces, and so on. The lattices are classified according to one basic figure or concept, and the hundreds of beautiful design variations fall into only 26 categories: parallelogram, octagon or octagon square, hexagon, single focus frames, double focus frames, triple focus frames, quintuple focus frames, no focus frames, wedge-lock, presentation, out-lock, in-out bound, the Han line, parallel waves, opposed waves, recurving wave, loop-continued, like swastikas (a Buddhist symbol), unlike swastikas, central Ju I, allover Ju I, S-scroll, U-scroll, rustic ice-ray, symmetrical ice-ray, and square and round. Each category is introduced in sections at the front. In addition, there is usually a short description for each design and every design is designated by name, location, and approximate date of construction. Professor Dye spent over 21 years studying and copying lattices all over China, and because of the ravages of time and changing cultural values, this collection can probably never be duplicated. Balanced, intricate, sometimes asymmetrical, usually harmonious, these lattice designs present a wealth of material for the Western commercial artist, textile designer, pattern-maker, and craftsman. Reflecting their Chinese heritage, these designs are universal and can be used almost anywhere.
Visual calculating in shape grammars aligns with art and design, bridging the gap between seeing (Coleridge's “imagination”) and combinatoric play (Coleridge's “fancy”). In Shapes of Imagination, George Stiny runs visual calculating in shape grammars through art and design—incorporating Samuel Taylor Coleridge's poetic imagination and Oscar Wilde's corollary to see things as they aren't. Many assume that calculating limits art and design to suit computers, but shape grammars rely on seeing to prove otherwise. Rules that change what they see extend calculating to overtake what computers can do, in logic and with data and learning. Shape grammars bridge the divide between seeing (Coleridge's “imagination, or esemplastic power”) and combinatoric play (Coleridge's “fancy”). Stiny shows that calculating without seeing excludes art and design. Seeing is key for calculating to augment creative activity with aesthetic insight and value. Shape grammars go by appearances, in a full-fledged aesthetic enterprise for the inconstant eye; they answer the question of what calculating would be like if Turing and von Neumann were artists instead of logicians. Art and design are calculating in all their splendid detail.