Origin of Irregular Star Polygons in Ground Projection Plans of Muqarnas

Ağırbaş, Aslı; Yildiz, Gulnur

doi:10.1007/s00004-020-00516-x

Cited by 10 publications

(5 citation statements)

References 14 publications

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“…According to this study, the reason of the edge lengths of the stars in the muqarnas plan being unequal is that the plan layout may have been created with an ellipse. The ellipse layout fits perfectly with the plan obtained as a result of 3D laser scanning [25].…”

Section: Introductionsupporting

confidence: 68%

“…Although the researchers such as Ozdural [15], Dold-Samplonius and Harmsen [16], Elkhateeb [17], Hamekasi et al [18], Castera [19], Kharazmi and Sarhangi [20], Gherardini and Leali [21], Kashef [22], Yaghan [23] and Takahashi [24] examined the structure of the muqarnas from various aspects, none of them focussed on the geometric reason for the unequal edge lengths of the stars in the muqarnas plans. Agirbas and Yildiz's previous study [25] is the first study related to the geometrical reason for unequal edge lengths of the stars in the muqarnas plans. For this, muqarnas at the main gate of Atik Valide Mosque, which is simpler than many other muqarnas at main gates, were chosen to be examined, and this muqarnas was examined in its second and third dimensions in the framework of shape grammar theory.…”

Section: Introductionmentioning

confidence: 99%

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Interrelation between grid systems and star polygons of muqarnas ground projection plans

2022

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Many muqarnas ground projection plans contain stars with unequal edge lengths in their compositions. In this study, the geometric reasons behind the unequality of star edge lengths in muqarnas ground projection plans have been searched. The main gates with complex-looking muqarnas belonging to the period of Suleiman the Magnificent (Kanuni Sultan Suleyman), designed by Architect Sinan in Istanbul, have been selected to examine. From the data obtained by 3D laser scanning and from the verification made, it has been confirmed that there are stars with unequal edge lengths in these muqarnas plans. From the geometrical examinations made according to the shape grammar theory, it was concluded that the muqarnas plans were created using spider-web grid and square grid layouts. It was also concluded that these grid types cause some of the star edge lengths to be unequal.

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Section: Introductionsupporting

confidence: 68%

Section: Introductionmentioning

confidence: 99%

Interrelation between grid systems and star polygons of muqarnas ground projection plans

2022

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“…Finally, Agirbas et al [176] investigated the symmetrical proportion of inequality of star edge lengths in muqarnas ground projection plans obtained by 3D laser scanning and examination based on shape grammar. This research was also conducted by Agirbas and Yildiz [1], performing simple parametric muqarnas using intersections of the ellipse grid.…”

Section: Aesthetic-based; Generation Methods and Variationsmentioning

confidence: 99%

“…Today, there is a tendency to use traditional elements in contemporary Middle Eastern buildings [1]. Islamic geometric patterns are one of the key characteristics of Islamic architecture in many cultural traditions of Islamic countries [2][3][4].…”

Section: Introductionmentioning

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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“…There is no doubt that Islamic ornament as an object of research is a multi-layered and multidimensional phenomenon of world culture [22]. At present, within the framework of modern ornamentalism, mathematical analysis and analytical geometry are used to reproduce many Islamic patterns, including Turkish [23,24], Moorish [25], and many others, based on traditional fractal construction techniques in the formation of geometric patterns [26,27]. In this article, we did not set the goal of a comprehensive study of it, and as the title of the article suggests, we were primarily interested in the algorithmic foundations of constructing an Islamic ornament [28], in particular the applicability of visual programming methods to such problems.…”

Section: Introductionmentioning

confidence: 99%

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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Origin of Irregular Star Polygons in Ground Projection Plans of Muqarnas

Cited by 10 publications

References 14 publications

Interrelation between grid systems and star polygons of muqarnas ground projection plans

Interrelation between grid systems and star polygons of muqarnas ground projection plans

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

Parametric methods for constructing the Islamic ornament

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