From topologies to shapes: parametric shape grammars implemented by graphs

Grasl, Thomas; Economou, Athanassios

doi:10.1068/b38156

Cited by 59 publications

(68 citation statements)

References 22 publications

(24 reference statements)

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“…It has previously been identified, e.g. [2,[18][19][20], that implementations of such shape grammars, e.g. via a general interpreter, should be able to accommodate the changes in structure that occur during shape computations.…”

Section: Introductionmentioning

confidence: 99%

Shapes, structures and shape grammar implementation

Jowers

Earl

Stiny

2019

Computer-Aided Design

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Shape grammars are a generative formalism in which dynamic changes to shape structure plays a vital role. Such changes support ambiguity and emergence, and as a result shape grammars are often used as the basis for proposed developments in supporting shape exploration in computeraided design. However, the general implementation of shape grammars remains an unsolved problem, and a common solution is to adopt a fixed structure. This paper explores the consequences of assuming a fixed shape structure, via analysis of a simple shape grammar, often used as a benchmark problem to illustrate advances in shape grammar implementation. With reference to the combinatorics of words, it is proved that adopting a finite fixed structure limits the capability of a shape grammar. The paper concludes with a discussion exploring the implications of this result for shape grammar implementation and for design descriptions in CAD.

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Section: Introductionmentioning

confidence: 99%

Shapes, structures and shape grammar implementation

Jowers

Earl

Stiny

2019

Computer-Aided Design

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“…For a formal use of the notion of parametric shape it is possible to refer to the literature of research fields related with space, as architecture and territorial planning, or to research field related with the graphical representation of shapes(Grasl 2013) …”

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confidence: 99%

Structure, shape, topology: entangled concepts in molecular chemistry

Ghibaudi

Cerruti²,

Villani

2019

Found Chem

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The concepts of molecular structure and molecular shape are ubiquitous in the chemical literature, where they are often taken as synonyms, with unavoidable drawbacks in chemistry teaching. A third concept, molecular topology, is less frequent but it is a reference term in molecular research domains such as Quantitative Structure-Activity Relationships. The present paper proposes an epistemological analysis of these three notions, aimed at clarifying the nature of their relationship, as well as the contiguities and differences between them. At first, we discuss the various acceptations of the terms molecular structure and molecular shape. Then, we examine some crucial milestones in the history of these concepts and we analyse the relationship between structure, shape and topology from an epistemological viewpoint. We point out the distinguishing features of each concept and we show that their semantic openness, that may be fruitful in a specialized context, turns into a source of incoherence and inaccuracy in the teaching context, fostered by the misleading use of these terms made by textbooks. Eventually, we propose a criterion fit to discriminate between the conceptual domains of molecular shape, molecular structure and molecular topology.

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“…Two productions of the grammar-one to reproduce the original one (and verify the theory -the grammar) and another to produce a new diagrammatic representation are shown in Figure 2. The derivation of all designs is fully executed in an automated way in a shape grammar interpreter (Grasl and Economou, 2013).…”

Section: Rewind: Deriving Schemasmentioning

confidence: 99%

“…A way out of this conundrum is to think of these diagrams and patterns in a recursive way that allows them to recombine freely in any imaginable way allowing novel and useful representations of patterns in a design setting. The computational framework for such visual computations with shape rules and rule schemas is captured nicely by the shape grammar formalism (Stiny, 2006;Knight 1997;Grasl and Economou, 2013).…”

Section: Introductionmentioning

confidence: 99%