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Introduction to shape and shape grammars
Environment and Planning B: Planning and Design, 1980The definitions pertaining to the shape grammar formalism are developed in detail.In this paper, we take a whirlwind tour through the shape grammar formalism, and the definitions and ideas on which it is based. The formal machinery for the algorithmic definition of languages of two- and three-dimensional spatial designs is thus established.
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Environment and Planning B: Planning and Design, 1999
The issue of decidability in relation to shape grammars is considered here. Decidability concerns, first, the identification of different types of grammars and, second, the answerability or solvability of questions about these types of grammars. In this paper, the first of these two topics is examined.
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The issue of decidability in relation to shape grammars is considered here. Decidability concerns, first, the identification of different types of grammars and, second, the answerability or solvability of questions about these types of grammars. In this paper, the first of these two topics is examined.
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Shape Grammars: Five Questions
Environment and Planning B: Planning and Design, 1999In the paper “Shape grammars: six types”, the issue of decidability in relation to shape grammars was introduced. Decidability concerns, first, the identification of different types of grammars, and, second, the answerability or solvability of questions about these types of grammars. The first of these two topics was explored in “Six types”.
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1998
Shape grammars are classified into different types according to restrictions on rules. The predictabilities of the outcomes and behaviors of these different types of shape grammars are examined. Understanding the predictabilities of grammars is central to the successful design of shape grammars in creative design applications.
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Shape grammars are classified into different types according to restrictions on rules. The predictabilities of the outcomes and behaviors of these different types of shape grammars are examined. Understanding the predictabilities of grammars is central to the successful design of shape grammars in creative design applications.
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Algebras and Grammars for Shapes and their Boundaries
Environment and Planning B: Planning and Design, 2001A special kind of shape algebra is defined for concurrent computations with shapes and their boundaries, together with related shape grammars. Some new types of shape grammar are defined and classified.
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From Point Cloud to Shape Grammar to Grammatical Transformations [PDF]
, 2013 This paper describes a generative design approach integrating real building data in the process of developing a shape grammar. The goal is to assess to which extent it is feasible the use of a reverse engineering procedure to acquire actual building data
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Classifications of Shape Grammars
2017Since shape grammars were first described about forty five years ago, several types of grammars have emerged. The goal of this paper is to provide a framework that gathers together the main existing types of grammars. The categorization is preceded by a glossary of 19 terms related to shape grammars.
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A Multi-formalism Shape Grammar Interpreter
Communications in Computer and Information Science, 2022Rudi Stouffs, Stouffs Rudi
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Shape and Shape Grammars: A Formal Model
1975The formal counterparts of the pictorial models of shape and shape grammars presented in Chapter 1 are developed in this chapter. Formal definitions for 2-dimensional, rectilinear shapes and shape grammars generating languages of 2-dimensional, rectilinear shapes are given. The presentation of this chapter is self-contained.
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