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Mathematical Analysis and Generation of Palladian Designs

Mathematical Analysis and Generation of Palladian Designs

Copyright: © 2020 |Pages: 32
ISBN13: 9781799816980|ISBN10: 1799816982|ISBN13 Softcover: 9781799816997|EISBN13: 9781799817000
DOI: 10.4018/978-1-7998-1698-0.ch003
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MLA

Ju Hyun Lee and Michael J. Ostwald. "Mathematical Analysis and Generation of Palladian Designs." Grammatical and Syntactical Approaches in Architecture: Emerging Research and Opportunities, IGI Global, 2020, pp.56-87. https://doi.org/10.4018/978-1-7998-1698-0.ch003

APA

J. Lee & M. Ostwald (2020). Mathematical Analysis and Generation of Palladian Designs. IGI Global. https://doi.org/10.4018/978-1-7998-1698-0.ch003

Chicago

Ju Hyun Lee and Michael J. Ostwald. "Mathematical Analysis and Generation of Palladian Designs." In Grammatical and Syntactical Approaches in Architecture: Emerging Research and Opportunities. Hershey, PA: IGI Global, 2020. https://doi.org/10.4018/978-1-7998-1698-0.ch003

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Abstract

This chapter describes the development of a schematic “Palladian Grammar” for analysing and generating Palladian villa plans. This grammar has four stages using eleven rule sets, which start by generating initial modules and end with the application of a termination rule. Thereafter, the chapter introduces a mathematical approach to measuring and comparing the grammatical properties of selected design instances of Palladian villas. Normalised distance is used to identify the level of disparity implicit in each design instance, relative to the grammatical rule-set. Alternative design instances are generated using rule probabilities to illustrate the transition sequences of the grammar application. The method both generates design instances and measures their grammatical levels of disparity to support the production of more appropriate design instances in the language. The computational techniques provide both a quantitative and qualitative examination of the schematic “Palladian Grammar.”

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