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primary topic: Measuring Symbolic Sophistication in Geometric Ornament: The Symmetry Complexity Index (SCI) and its Art Historical Validation in Islamic Geometric Patterns

Measuring Symbolic Sophistication in Geometric Ornament: The Symmetry Complexity Index (SCI) and its Art Historical Validation in Islamic Geometric Patterns
type: AcademicArticle
type: Article
abstract: This study introduces the Symmetry Complexity Index (SCI), a computational metric to quantify the symbolic sophistication of Islamic geometric patterns (IGPs). Grounded in group theory, the SCI assesses symmetry complexity through weighted operations, hypothesizing that higher scores reflect greater symbolic depth. We analyzed 41 IGPs from key Islamic dynasties (Umayyad to Mughal, 660–1737 CE) and validated the SCI through expert consultation (n = 5, r = 0.87, p < 0.001). The results revealed a clear evolutionary trend, with SCI scores rising from basic 6-point patterns (SCI = 40–50) in the Abbasid era to complex 16-point patterns (SCI = 70–85) during the Mamluk period, alongside notable regional variations, such as Mughal simplicity and Mamluk intricacy. The findings of this study highlight the SCI’s effectiveness in capturing historical developments in symbolic sophistication. This study recommends the broader application of the SCI for analyzing geometric ornamentation and exploring the relationship between decorative complexity and urban identity in Islamic architecture.
date: 2025-12-25
volume: 15
issue: 1
is part of: Journal of Civil Engineering and Urbanism
status: peerReviewed
status: published
author list: authors
type: EPrint
type: ArticleEPrint
is part of: repository
has document: Measuring Symbolic Sophistication in Geometric Ornament: The Symmetry Complexity Index (SCI) and its Art Historical Validation in Islamic Geometric Patterns (Text)
has version: Measuring Symbolic Sophistication in Geometric Ornament: The Symmetry Complexity Index (SCI) and its Art Historical Validation in Islamic Geometric Patterns (Text)
has published: Measuring Symbolic Sophistication in Geometric Ornament: The Symmetry Complexity Index (SCI) and its Art Historical Validation in Islamic Geometric Patterns (Text)
subject: CB History of civilization
subject: TA Engineering (General). Civil engineering (General)

Measuring Symbolic Sophistication in Geometric Ornament: The Symmetry Complexity Index (SCI) and its Art Historical Validation in Islamic Geometric Patterns (Text)
type: Document
has file: JCEU15(1)9-23,2025.pdf
has part: JCEU15(1)9-23,2025.pdf

Scienceline Publication
type: Organization

Journal of Civil Engineering and Urbanism
type: Collection
issn: 22520430

Zeynab Nazer
type: Person
given name: Zeynab
family name: Nazer

Péter Rabb
type: Person
given name: Péter
family name: Rabb

http://eprints.science-line.com/id/eprint/1383/
title: HTML Summary of #1383 <epc:when xmlns:epc="http://eprints.org/ep3/control" test="title">Measuring Symbolic Sophistication in Geometric Ornament: The Symmetry Complexity Index (SCI) and its Art Historical Validation in Islamic Geometric Patterns</epc:when>
format: text/html
primary topic: Measuring Symbolic Sophistication in Geometric Ornament: The Symmetry Complexity Index (SCI) and its Art Historical Validation in Islamic Geometric Patterns

CB History of civilization
type: Concept

TA Engineering (General). Civil engineering (General)
type: Concept