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Varieties of 12‐fold rosettes and their applications in Moroccan geometric ornament
Author(s) -
Aboufadil Youssef,
Thalal Abdelmalek,
El Idrissi Raghni My Ahmed,
Jali Abdelaziz,
Oueriagli Amane
Publication year - 2019
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s1600576719004928
Subject(s) - fold (higher order function) , quasiperiodic function , construct (python library) , combinatorics , geometric pattern , mathematics , geometry , computer science , biology , geometric shape , mathematical analysis , programming language
This work is devoted to the study of the 12‐fold rosettes frequently encountered in Islamic art, especially in Moroccan ornamentation. Several types of 12‐fold rosettes are described according to the geometric shape of their petals. They have a large number of variants and offer the possibility of building new, previously unknown rosettes, while respecting the construction method Hasba used by master craftsmen. Artisans developed a technique for combining different types of 12‐fold rosettes to construct infinite periodic tiling belonging to the 17 crystallographic groups. This technique enabled them to diversify the repeated patterns based on 12‐fold rosettes. An analysis of their tiling suggests a method based on elementary geometry to build new patterns with different types of 12‐fold overlapped rosettes and their variants. A procedure based on combination of the distances between two overlapped rosettes is then proposed, which enables generation of new periodic and quasiperiodic patterns.