Shape Grammars and Their Uses

Shape Grammars and Their Uses PDF

Author: GIPS

Publisher: Interdisciplinary Systems Research

Published: 1975

Total Pages: 260

ISBN-13:

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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 and their Uses

Shape Grammars and their Uses PDF

Author: GIPS

Publisher: Birkhäuser

Published: 2013-12-01

Total Pages: 257

ISBN-13: 3034857535

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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 and Their Uses

Shape Grammars and Their Uses PDF

Author: James Gips

Publisher:

Published: 1974

Total Pages: 504

ISBN-13:

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Shape grammars are defined and their uses are investigated. Shape grammars provide a means for the recursive specification of shapes. A shape grammar is presented that generates a new class of reversible figures. Shape grammars are given for some well known mathematical curves. A simple method for constructing shape grammars that simulate Turing machines is presented. A program has been developed that uses a shape grammar to solve a perceptual task involving the analysis and comparison of line drawings that portray three-dimensional objects of a restricted type. A formalism that uses shape grammars to generate paintings is defined, its implementation on the computer is described, and examples of generated paintings are shown. The use of shape grammars in generating paintings has led to an investigation of aesthetics. A formalism for specifying aesthetic viewpoints is described. A program has been written that evaluates the paintings generated using shape grammars in terms of a well-defined aesthetic viewpoint specified with this formalism.

Shape

Shape PDF

Author: George Stiny

Publisher: MIT Press

Published: 2006-04-07

Total Pages: 433

ISBN-13: 0262195313

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How design is calculating with shapes: formal details and design applications.

Grammatical and Syntactical Approaches in Architecture: Emerging Research and Opportunities

Grammatical and Syntactical Approaches in Architecture: Emerging Research and Opportunities PDF

Author: Lee, Ju Hyun

Publisher: IGI Global

Published: 2019-12-20

Total Pages: 351

ISBN-13: 1799817008

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Shape grammar and space syntax have been separately developed but rarely combined in any significant way. The first of these is typically used to investigate or generate the formal or geometric properties of architecture, while the second is used to analyze the spatial, topological, or social properties of architecture. Despite the reciprocal relationship between form and space in architecture—it is difficult to conceptualize a completed building without a sense of both of these properties—the two major computational theories have been largely developed and applied in isolation from each another. Grammatical and Syntactical Approaches in Architecture: Emerging Research and Opportunities is a critical scholarly resource that explores the relationship between shape grammar and space syntax for urban planning and architecture and enables the creative discovery of both the formal and spatial features of an architectural style or type. This book, furthermore, presents a new method to selectively capture aspects of both the grammar and syntax of architecture. Featuring a range of topics such as mathematical analysis, spatial configuration, and domestic architecture, this book is essential for architects, policymakers, urban planners, researchers, academicians, and students.

Shapes of Imagination

Shapes of Imagination PDF

Author: George Stiny

Publisher: MIT Press

Published: 2022-11-15

Total Pages: 249

ISBN-13: 026254413X

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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.

Education And Awareness Of Sustainability - Proceedings Of The 3rd Eurasian Conference On Educational Innovation 2020 (Ecei 2020)

Education And Awareness Of Sustainability - Proceedings Of The 3rd Eurasian Conference On Educational Innovation 2020 (Ecei 2020) PDF

Author: Charles Tijus

Publisher: World Scientific

Published: 2020-11-17

Total Pages: 1004

ISBN-13: 9811228019

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This volume represents the proceedings of the 3rd Eurasian Conference on Educational Innovation 2020 (ECEI 2020). Thes conference is organized by the International Institute of Knowledge Innovation and Invention (IIKII), and was held on February 5-7, 2020 in Hanoi, Vietnam.ECEI 2020 provides a unified communication platform for researchers in a range of topics in education innovation and other related fields. This proceedings volume enables interdisciplinary collaboration of science and engineering technologists. It is a fine starting point for establishing an international network in the academic and industrial fields.