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Generating Islamic Quasi-Periodic Patterns: A New Method

Authors:

Rachid BenslimaneAuthors Info & Claims

Journal on Computing and Cultural Heritage (JOCCH), Volume 11, Issue 3

Article No.: 13, Pages 1 - 18

https://doi.org/10.1145/3127090

Published: 09 August 2018 Publication History

Abstract

The discovery of quasi-crystals has led to a great debate about their unusual structure. The big surprise is that these structures were found in Islamic art several centuries ago. This latest discovery drew the attention of scientists to propose several approaches for the comprehension of these structures by analyzing several quasi-periodic patterns spread around the Islamic world. In this article, we propose a systematic method for generating new quasi-periodic patterns inspired by existing Islamic historical patterns. The method builds Islamic quasi-periodic patterns based on a quasi-periodic tiling and a few intuitive parameters. Given a quasi-periodic tiling, the method divides its tiles (rhombs) into symmetric right triangles and constructs their template motifs. The construction of these template motifs is achieved by a systematic and well-organized process. The content of the tiles is obtained by applying mirror reflections to the constructed template motifs. Finally, the pattern is drawn by putting the content of the constructed tiles in the tiling. To show the effectiveness of this generative method, examples of new quasi-periodic patterns will be presented.

References

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Cited By

Azizi Naserabad AGhanbaran A(2024)Computational approach in presentation a parametric method to construct hybrid girihs (hybrid Islamic geometric patterns)International Journal of Architectural Computing10.1177/14780771241279347Online publication date: 3-Sep-2024
https://doi.org/10.1177/14780771241279347
Azizi Naserabad AGhanbaran A(2024)Generating Novel 6-Point Girihs (6-Point Islamic Geometric Patterns) Based on Existing OnesSN Computer Science10.1007/s42979-024-02964-55:5Online publication date: 1-Jun-2024
https://dl.acm.org/doi/10.1007/s42979-024-02964-5
Agirbas AAydin M(2024)Prediction of Star Polygon Types in Islamic Geometric Patterns with Deep LearningNexus Network Journal10.1007/s00004-024-00789-6Online publication date: 17-Jun-2024
https://doi.org/10.1007/s00004-024-00789-6
Show More Cited By

Index Terms

Generating Islamic Quasi-Periodic Patterns: A New Method
1. Applied computing
  1. Arts and humanities
    1. Fine arts
  2. Physical sciences and engineering
    1. Engineering
      1. Computer-aided design
2. Computing methodologies
  1. Computer graphics

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Published In

cover image Journal on Computing and Cultural Heritage

Journal on Computing and Cultural Heritage Volume 11, Issue 3

September 2018

125 pages

ISSN:1556-4673

EISSN:1556-4711

DOI:10.1145/3266363

Editor:
Roberto Scopigno
CNR-ISTI, Italy

Issue’s Table of Contents

Copyright © 2018 ACM.

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 09 August 2018

Accepted: 01 June 2017

Revised: 01 May 2017

Received: 01 January 2017

Published in JOCCH Volume 11, Issue 3

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Cited By

Azizi Naserabad AGhanbaran A(2024)Computational approach in presentation a parametric method to construct hybrid girihs (hybrid Islamic geometric patterns)International Journal of Architectural Computing10.1177/14780771241279347Online publication date: 3-Sep-2024
https://doi.org/10.1177/14780771241279347
Azizi Naserabad AGhanbaran A(2024)Generating Novel 6-Point Girihs (6-Point Islamic Geometric Patterns) Based on Existing OnesSN Computer Science10.1007/s42979-024-02964-55:5Online publication date: 1-Jun-2024
https://dl.acm.org/doi/10.1007/s42979-024-02964-5
Agirbas AAydin M(2024)Prediction of Star Polygon Types in Islamic Geometric Patterns with Deep LearningNexus Network Journal10.1007/s00004-024-00789-6Online publication date: 17-Jun-2024
https://doi.org/10.1007/s00004-024-00789-6
Ouazene Z(2024)Quasi-Periodic Tiling in Moroccan and Andalusian Decorative Art: A Harmonious Symphony of Mathematics and AestheticsCivil Engineering, Material and Smart Buildings: New Technologies in Cities' Infrastructures10.1007/978-3-031-76557-5_3(22-37)Online publication date: 8-Dec-2024
https://doi.org/10.1007/978-3-031-76557-5_3
Ranjazmay Azari MBemanian MMahdavinejad MKörner AKnippers J(2023)Application-based principles of islamic geometric patterns; state-of-the-art, and future trends in computer science/technologies: a reviewHeritage Science10.1186/s40494-022-00852-w11:1Online publication date: 1-Feb-2023
https://doi.org/10.1186/s40494-022-00852-w
Gökmen SAykin YBasik AAlacam S(2023)A Recursive Algorithm for the Generative Study of Seljuk Muqarnas in Kayseri and SivasNexus Network Journal10.1007/s00004-023-00686-425:3(751-772)Online publication date: 3-Apr-2023
https://doi.org/10.1007/s00004-023-00686-4
Khamjane AOuazene ZTaime ABadi IEl Fazazy KBenslimane R(2023)The Polygonal Technique for Constructing Islamic Geometric PatternsDigital Technologies and Applications10.1007/978-3-031-29860-8_53(521-530)Online publication date: 28-Apr-2023
https://doi.org/10.1007/978-3-031-29860-8_53
Gokmen SBasık AAykın YAlacam S(2022)Computational Modeling and Analysis of Seljukid Muqarnas in KayseriJournal on Computing and Cultural Heritage 10.1145/347739915:2(1-19)Online publication date: 7-Apr-2022
https://dl.acm.org/doi/10.1145/3477399
Ouazene ZKhamjane ABenslimane R(2022)Relationship Between Eight-Fold Star and Other Tiles in Traditional Method ‘Tastir’Advanced Technologies for Humanity10.1007/978-3-030-94188-8_33(352-358)Online publication date: 29-Jan-2022
https://doi.org/10.1007/978-3-030-94188-8_33
Makovicky E(2021)Quasicrystalline patterns in western Islamic art: problems and solutionsRendiconti Lincei. Scienze Fisiche e Naturali10.1007/s12210-020-00969-932:1(57-94)Online publication date: 2-Feb-2021
https://doi.org/10.1007/s12210-020-00969-9
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