Analysis of shape grammars: Continuity of rules
Name
2012.10949.pdf
Description
Accepted version
Size
23.86 MB
Format
Adobe PDF
Checksum (MD5)
f56bf19d862dc7be938ab4e12b4393b2
Author(s)
Haridis, Alexandros
Stiny, George
Date Issued
2022
Journal
Environment and Planning B: Urban Analytics and City Science
Publisher
SAGE Publications
Citation
Haridis, Alexandros and Stiny, George. 2022. "Analysis of shape grammars: Continuity of rules." Environment and Planning B: Urban Analytics and City Science, 49 (7).
Version
Author's final manuscript
Abstract
The rules in a shape grammar apply in terms of embedding to take advantage of the parts that emerge visually in the appearance of shapes. While the shapes are kept unanalyzed as a computation moves forward, part-structures for shapes can be defined retrospectively by analyzing how the rules were applied. An important outcome of this is that rule continuity is not built-in but it is “fabricated” retrospectively to analyze the computation as a continuous process. An aspect of continuity analysis that has not been addressed in the literature is how to decide which mapping forms to use to study the continuity of rule applications. This is addressed in this paper using recent results on shape topology and continuous mappings. A characterization is provided that distinguishes the suitable mapping forms from those that are inherently discontinuous or practically inconsequential for continuity analysis. It is also shown that certain intrinsic properties of shape topologies and continuous mappings provide an effective method of computing topologies algorithmically.
MIT Department
Massachusetts Institute of Technology. Department of Architecture
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1177/23998083211044734
