Descriptive change in architecture: identities in shape grammars and multiplicity in design datasets

This paper argues that changes in descriptions of architectural objects or elements have advanced architecture historically. Description changes are possible when the objects are amenable to a multiplicity of interpretation. We present an original classification of examples to demonstrate descriptive changes ranging from the formation of the Doric order to Romanesque, Gothic, Modern, Postmodern and contemporary architecture. Description changes are represented as rule-based computational processes guided by identity rules, a class of shape rules defined in shape grammars. We ground the abstract computational nature of identity rules on real-world architectural contexts to analyse description changes that have stimulated generative processes—from forming the ancient triglyph to crafting a Gothic pinnacle or spatially and structurally organizing Terragni’s Danteum. The diversity of the examples demonstrates the relevance of descriptive change to all aspects of architectural design, from purely structural to purely ornamental, and flags the importance of multiplicity within design datasets.

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Publication Details

Journal
Journal of Mathematics and the Arts
Published
2026-07-28
DOI
https://doi.org/10.1080/17513472.2026.2686135
Primary Topic
Design Education and Practice
Type
article
Field-Weighted Citation Impact
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article

Descriptive change in architecture: identities in shape grammars and multiplicity in design datasets

Alexandros Haridis, Nicolaos Moustroufis
Journal of Mathematics and the Arts
Design Education and Practice
article

Descriptive change in architecture: identities in shape grammars and multiplicity in design datasets

Alexandros Haridis, Nicolaos Moustroufis
article en

Abstract

This paper argues that changes in descriptions of architectural objects or elements have advanced architecture historically. Description changes are possible when the objects are amenable to a multiplicity of interpretation. We present an original classification of examples to demonstrate descriptive changes ranging from the formation of the Doric order to Romanesque, Gothic, Modern, Postmodern and contemporary architecture. Description changes are represented as rule-based computational processes guided by identity rules, a class of shape rules defined in shape grammars. We ground the abstract computational nature of identity rules on real-world architectural contexts to analyse description changes that have stimulated generative processes—from forming the ancient triglyph to crafting a Gothic pinnacle or spatially and structurally organizing Terragni’s Danteum. The diversity of the examples demonstrates the relevance of descriptive change to all aspects of architectural design, from purely structural to purely ornamental, and flags the importance of multiplicity within design datasets.

Journal of Mathematics and the Arts
Architectural Association School of Architecture (GB), Harvard University Press (US)
Sustainable cities and communities
Openalex Percentile: Top 16%
Design Education and Practice
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Descriptive change in architecture: identities in shape grammars and multiplicity in design datasets — Alexandros Haridis, Nicolaos Moustroufis · Journal of Mathematics and the Arts (2026) | TGRS Research Map | TGRS