Persian Variations

Castera, Jean-Marc

doi:10.1007/s00004-015-0281-5

Cited by 13 publications

(4 citation statements)

References 4 publications

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“…To facilitate the modelling of ornamental geometries, individual fragments of the algorithm are collected in special clusters. This remark is equally true for both the Hankin [29] method and the Bonner [33] and Castera [32] methods, which deal with multi-scale and multilevel tiled partitions. By varying the angle of intersection of the pattern lines, Muslim artists have developed three historical families of Islamic geometric patterns: acute-angled, median, and obtuse.…”

Section: Basic Lattice and Ornament Motifmentioning

confidence: 95%

Parametric methods for constructing the Islamic ornament

Nadyrshine

Khafizov

et al. 2021

E3S Web Conf.

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The article discusses the method of algorithmic construction of Islamic ornaments, which can be used as a decorative element in architectural design. Two necessary stages are highlighted in the generation of an ornamental motif by means of algorithmic design – the first includes operations on a base mesh consisting of a combination of regular or semiregular cells, for example, drawing rays from the centers of the edges of the original lattice or rotating figures relative to its nodes; the second stage involves the creation of a basic pattern of the ornamental design that fits into a regular or semi-regular polygon, and the decorative motif in the figure is made up of a primitive that is symmetrically reflected relative to any lines, usually rays, emanating from opposite corners of the polygon. The paper analyses the traditional patterns of Islamic ornaments, on the basis of which new designs were built, using visual programming tools (Rhino and Grasshopper).

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Section: Basic Lattice and Ornament Motifmentioning

confidence: 95%

Parametric methods for constructing the Islamic ornament

Nadyrshine

Khafizov

et al. 2021

E3S Web Conf.

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“…Nevertheless, imputing a nascent quasicrystal theory to medieval mathematicians simply cannot be justified based on historical records [61]. Other views support the presence of self-similar quality in some IGPs [62][63][64][65], making it somewhat similar to the structural signature of quasicrystals. Scholars like Cromwell [66] and Chorbachi [10] believe Islamic artists have had the tools to construct quasiperiodic designs without the theoretical framework to appreciate the possibility or significance of doing so.…”

Section: Aesthetic-based Criteriamentioning

confidence: 99%

Application-based principles of islamic geometric patterns; state-of-the-art, and future trends in computer science/technologies: a review

Azari

Bemanian²,

Mahdavinejad³

et al. 2023

Herit Sci

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Currently, there is a tendency to use Islamic Geometric Patterns (IGPs) as important identities and cultural elements of building design in the Middle East. Despite high demand, lack of information about the potential of IGPs principles have led to formal inspiration in the design of existing buildings. Many research studies have been carried out on the principles of IGPs. However, comprehensive studies relating to new possibilities, such as structure-based, sustainable-based, and aesthetic-based purposes, developed by computer science and related technologies, are relatively rare. This article reviews the state-of-the-art knowledge of IGPs, provides a survey of the main principles, presents the status quo, and identifies gaps in recent research directions. Finally, future prospects are discussed by focussing on different aspects of the principles in accordance with collected evidence obtained during the review process.

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“…Jean-Marc Castéra is a designer with a lot of experience in the traditional arts of Morocco [21]. Following a visit to Iran in 2015, he produced new work by applying the techniques of the west to patterns from the east [22]. Figure 16 follows in this spirit.…”

Section: Modern Designsmentioning

confidence: 99%

Looking at Islamic Patterns II: Making Sense of Geometry

Cromwell¹

2021

Preprint

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Islamic geometric patterns are arrangements of interlocking stars and polygons. Why do they attract our attention? Following Silvia's model, interesting stimuli are hard to process yet comprehensible. To understand what it means to make sense of a geometric pattern we explore representations of space and geometric structure. Perceptual and linguistic evidence yields small sets of primitive objects and qualitative relations that suffice to build a synthetic geometry of perceptual space; constructing patterns requires the capability to divide lines and circles into equal parts, but does not rely on measuring lengths or angles explicitly.We compare eight representations of a star motif that demonstrate different approaches, different spatial frames of reference, and different levels of abstraction. A representation may be parametrised to represent a category, which allows us to verify that it captures salient features (the object should not be an anomaly in the category). We conclude that sequential constructive representations (algorithms) do not provide a good model for spatial structure, and that compression (encoding) and comprehension (making sense) are distinct.Chunking and schemas capture generic structure in unfamiliar contexts, in particular repetitive, composite, modular and hierarchical structure. The large corpus of Islamic patterns exhibits constant innovation over hundreds of years. We give examples to illustrate a clear trend towards increasingly complex structure, of both modular and hierarchical forms.

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Persian Variations

Cited by 13 publications

References 4 publications

Parametric methods for constructing the Islamic ornament

Parametric methods for constructing the Islamic ornament

Application-based principles of islamic geometric patterns; state-of-the-art, and future trends in computer science/technologies: a review

Looking at Islamic Patterns II: Making Sense of Geometry

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