Parametric methods for constructing the Islamic ornament

Abstract

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).

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

“…The number of stars/rosettes and their parameters enabled them to develop novel ones. Nadyrshine et al [114] recently extended these processes, creating the N-angle star pattern that produced more parametric ornaments. Lahcen et al [115] proposed a new symmetric-based method called Hasba to automatically generate a large number of IGPs using a software program.…”

From Sacred Traditions to Digital Syntax: Navigating Formal Grammar's Role in Modelling Contemporary Islamic Geometric Patterns

“…Nadyrshine et al (Nadyrshine et al, 2021) Hasba, a symmetric-based approach using software to generate numerous IGPs.…”

Оптимизация Конструктивных Расчетов Свайного Поля На Основе Данных Статического Зондирования

“…Распространенной сферой применения Grasshopper является параметрическое моделирование зданий и сооружений. Grasshopper используется для автоматизации проектирования модульных зданий [6], линейных объектов [7]; создания сложных геометрических форм зданий [5], элементов фасада [8]; оценки инсоляционных параметров зданий [9]; автоматизации расчета конструкций с применением метода конечных элементов [10,11].…”

“…A widespread area of Grasshopper application is parametric modelling of buildings and structures. Grasshopper is used to automate the design of modular buildings [6], linear objects [7]; to create complex geometric shapes of buildings [5], facade elements [8]; to estimate insolation parameters of buildings [9]; to automate the calculation of structures using the finite element method [10,11].…”