Muslim architects depend on Meditation, thinking and then results in their culture and civilization which create a unique art and architecture, instead of other artists which depend on personal perception and imagination in their cathedrals and churches designs that make the difference of Islamic art rather than other visual arts. Consequently, there was no need in the mosque for apses, transepts, crypts as well as images and sculptures that played a prominent part in the diversity of Islamic geometric patterns. This designing principle, presented a new methodology for understanding and constructing complicated Islamic patterns, which generated a new perspective into the history, craft, construction and creativity of the Muslim artists. This paper aims to present the characteristics of geometrical patterns as a digital method and point out the possibilities of mathematics of patterns which can be used to generate new depictions and applied in new areas like structure system, kinetic envelope or generate an evolution construction building on the architecture level which called "Timeless architecture."

Swarm intelligence algorithms are natural-inspired computational methods that mimic the social interaction between creatures to solve certain problems. Swarmative computational architecture (SCA) is a novel nomenclature proposed by the authors to present the use of various swarm algorithms in solving architectural problems. It includes three main aspects: form generation/adaptation, performance evaluation, and optimization. This study provides a systematic review and comparative analysis for the major publications within the review scope. The correspondence between dynamic subjects and the objective functions for the optimization process is presented. Particularly, dynamic subjects such as building formation parameters and objective functions such as occupant comfort and energy consumption. The main results and criteria are categorized into the design approach, case study, form generation/adaptation, and performance evaluation/optimization. Finally, this review presents the current trends and highlights the gaps in the use of swarm algorithms to solve architectural engineering problems.

This paper proposes mechanical and growth characteristics of nature that inspire shapes to be applied to load-bearing walls. The problem is that this type of buildings needs a high cost due to its design without using optimization processes that have a big role in reducing cost while maintaining the required aesthetic shape. In this study, this is performed by analyzing the case studies of O-14 Building, Victoria Gate and The Broad Museum where the building materials used differ from case to case. A model was created through the SolidThinking Inspire program using the morphogenesis tool. The model design is based on the algorithm for topology optimization and will be compared in terms of structural and material performance with the selected case studies. Optimization results are found to be effective and designed with maximum stiffness in order to prevent deformation which is clearly reflected in the cost estimate in the initial design stages.

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The described study presents the context of the process of optimization curved panels and the direct impact on reducing high cost, especially in this type of free-form buildings. The main motivation for this study is the avoidance of the traditional style of design where it needs to produce expensive designs because free shapes require a huge amount of specialization, the use of digital technology can overcome the problem of high cost through the production of optimized designs in addition to the ease of implementation of these forms which can be complicated in some cases as the number of freeform buildings that use building information modeling technology has increased recently. The importance of research is shown in guiding designers to optimize curved panels used in free formation during the early design stage so that design solutions can be correctly identified. This paper presents the results of analyzing the types of curved panels by comparing the cost before and after the optimization process, using algorithms for the selected materials (FRP, steel, and aluminum) that aim to reduce the value of curve coordinates while preserving the curve from deformation. In order to further devote attention to methodological frameworks to optimize curved panels besides cost control. the primary goal of the research is innovation at the initial design stage by designers through the use of algorithm-based assistance programs to optimize curved shapes that can produce contemporary project optimization curved panels are less expensive while maintaining the desired curved shape.