The study found a way to produce endlessly wonderful arrays of Islamic geometric designs

The study found a way to produce endlessly wonderful arrays of Islamic geometric designs

The study found a way to produce endlessly wonderful arrays of Islamic geometric designs

3D DesignMP10K10C0. Credit: Professor Zuhri

A scientist from the University of Sharjah in the United Arab Emirates has come up with a new method that may help craftsmen replicate and produce countless numbers of stunning patterns of Islamic geometric designs traditionally used to decorate mosques, madrasas and palaces across the Islamic world.

Mustafa Zuhri, a professor at the College of Science at the University of Sharjah, relies on special research in which he shows the elegance of these geometric designs, and presents “a new methodology that differs from all previous methods in the world.”

Throughout the ages, scholars, craftsmen and artists have traditionally used the drawing method to combine tiles with Islamic motifs, relying primarily on grids constructed using a ruler and at least two compasses.

“The largest class of Islamic designs uses, in general, complex, symmetrical polygons, where the initial design in each polygonal diagram is a cell in the form of a symmetrical figure” with which artists can create symmetrical rectangular, triangular, and circular shapes. Designs with beautiful decorative patterns, Professor Zuhri says.

Prevailing Islamic designs are the result of drawing and combing shapes and patterns. “What I present in my research is an analytical method based on advanced mathematical functions. The outputs of these functions are more or less design. Therefore, the concept based on drawing can be limited and the concept of using a parametric function can provide an infinite number of possibilities for creating Islamic geometric patterns.” ”

The study found a way to produce endlessly wonderful arrays of Islamic geometric designs

3D DesignUP10K10C0. Credit: Professor Zuhri

Professor Zuhri’s research presents a new model for emulating an interesting category of Islamic design. Based on periodic sequences on one-dimensional manifolds and emergent numbers, he constructed “closed graphs with edges on the unit circle.” These diagrams build very beautiful shapes, giving rise to a symmetrical class of so-called Islamic geometric design patterns.”

Professor Zuhri presents mathematical equations to arrive at many Islamic geometric patterns. “In our case, the Islamic design results from a set of pre-defined parameters. In other words, each design has a code containing the number of loops and vertices. In this way, we can generate an infinite number of Islamic designs.”

The new methodology has produced new and simple techniques not only for drawing a large variety of stunning Islamic designs, but also for incorporating geometric frameworks into mathematics education which Professor Zuhri also uses to “motivate students to increase their interest in studying sciences, especially mathematics.”

He writes: “This mathematical project explains and gives an analytical mathematical approach to the geometry used to construct unit cells and different types of arrangements. Moreover, it allows, in an easy way, to produce many similar and more complex designs.”

“Furthermore, generalizing the proposed project work to curved surface inputs is an interesting avenue for future research, especially to develop similar and easy models to make mathematics more attractive to students, artists, scientists and non-mathematical researchers.”

The study found a way to produce endlessly wonderful arrays of Islamic geometric designs

A well-known Islamic design produced using the floral pattern. A small parametric modification of the generation sequence results in a new derivative Islamic design. Credit: Professor Zuhri

Geometry in Islamic civilization is not just a specialty for mathematicians. Islamic craftsmen, artists and scholars have transformed geometry into an art form of mathematical elegance to draw wonderful Islamic patterns to decorate places of worship with geometric designs with wonderful proofs and shapes, blending history, culture, art and mathematics.

Islamic artists and craftsmen turned geometry into an art form because they were not allowed to paint images of humans to decorate their places of worship. However, today interest in this geometric art form is not limited to sacred sites. The demand for decorating palaces and monuments with Islamic geometric designs is high throughout the Arab and Islamic world, and often throughout the world.

“Islamic arts use complex geometric patterns and shapes. In wood for ornamental patterns, in the bricks of buildings, in copper for decoration, in paper, tiles, plaster, glass, etc.,” says Professor Zuhri, adding: “Islamic design can be found in Fundamental in three distinct geometric patterns: rectangular Kufic lines, arabesques, and polygonal designs.”

Professor Zuhri points out: “Islamic architecture is famous for its complex use of geometric patterns as decorative elements in various structures such as domes, minarets, squares, mosques and public buildings. These exquisite patterns are the product of planar and spatial geometry, resulting in polygonal shapes.”

Mathematically, precise calculations lead to the creation of various unit cells, which generate a large number of shapes and designs. Through a combination of overlapping and non-overlapping arrangements, the application of these mathematical principles results in symmetrical and semi-symmetrical Islamic designs.”

The study found a way to produce endlessly wonderful arrays of Islamic geometric designs

More complex Islamic designs can be assembled using a simple change in the parametric input of the sequence used. Source: Professor Zuhri

Professor Zuhri’s main goal is to put his model into practical use by applying existing designs and finding scientific ways to generate other unique shapes. The main goal is to show students how useful geometry is. And how beautiful mathematics is. From our perspective, we can code these designs to submit them to “Private market.”

Since publishing his research, Professor Zuhri’s desire has been to popularize his model and make it accessible to students, researchers and the public to help them draw lines and circles to produce patterns that connect them to their heritage.

Professor Zuhri hopes that his research and engineering frameworks will enhance interest in Islamic engineering heritage. He points out that until now artists and scientists have mostly focused on replicating previous design patterns with little room for creativity and innovation.

Using the geometric properties of connected, closed graphs with vertices on the unit circle, Professor Zuhri’s mathematical approach focuses on modeling an interesting class of geometric patterns in Islamic design.

“The symmetries of vertices on a one-dimensional manifold lead to the construction of two-dimensional planar patterns, which are known in literature as part of Islamic design. The resulting designs define fine art and are generally expressed using basic mathematical transformations,” he says.

The study found a way to produce endlessly wonderful arrays of Islamic geometric designs

More complex Islamic designs can be assembled using a simple change in the parametric input of the sequence used. Credit: Professor Zuhri

Professor Zohri describes his study as a harbinger of future more solid research in a hitherto uninvestigated artistic field. “My research so far is just a starting point for further research to come up with models and frameworks for other categories of Islamic geometric designs that rely on advanced techniques such as those of graph theory,” he says.

“Generalizing the proposed work on curved surface inputs is an interesting avenue for future research work, especially to develop similar and easy models to contribute to making mathematics more attractive to students as well as to others,” he wrote in his paper. Mathematical researchers.”

more information:
Mustafa Zuhri, Mathematical modeling of a class of symmetrical Islamic design, symmetry (2019). doi: 10.3390/sym11040517

Provided by the University of Sharjah

the quoteStudy Finds Method To Produce Exquisite Arrays Of Islamic Geometric Designs (2023, November 6) Retrieved November 6, 2023 from https://sciencex.com/wire-news/460704618/study-finds-method-to-infinitely-produce- Gorgeous arrays of i.html

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