Design and Optimization of a Gymnasium Roof Using an Interactive Evolutionary Algorithm: Combining Structural and Aesthetic Criteria

Document Type : Original Article

Author
Mahmoud Firouzi
Faculty of Architecture and Urban Planning, Department of Architectural Technology; Shahid Beheshti University, Tehran, Iran
10.22034/he.2025.545791.1140
Abstract
This study proposes an interactive-evolutionary optimization algorithm with the aim of integrating aesthetic geometry with structural functional requirements in the design of long-span truss roofs. This algorithm uses proportional formulas inspired by natural and Islamic patterns to generate optimal forms. In this multi-objective optimization process, a combination of random generators and human feedback is used to simultaneously respond to structural and aesthetic criteria. The proposed algorithm was tested in the design of a basketball hall and the results showed that higher ratios such as 2.236 provided the best performance in multi-objective goals, but the ratio of 0.75 formed the final form due to visual and functional balance and showed significant improvements compared to the architect's initial form, including a weight reduction of up to 40% and a growth of more than 1000% in the realization of proportions. This approach overall enhances design creativity, reduces time, and provides a systematic framework for developing design methods based on interactive algorithms in architecture.

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  1. عالمی، بابک ، پوردیهیمی, شهرام و مشایخ فریدنی، سعید . (1400). سازه، فرم و معماری. مطالعات معماری ایران, 5(9)، 123-140.
  2. دی کی چینگ، فرانسیس (1400). معماری: فرم، فضا و نظم.  ترجمه علیرضا تغابنی  و قویدل، س.ویرایش سوم.
  3. محمدیان منصور، صاحب ، ندیمی, هادی و تفضلی, زهره . (1399). نظریه ای درباره انتظامهای هندسیِ معماری ایران. پژوهش های باستان شناسی ایران، 10(24)، 227-249.
  4. طاهباز، منصوره. (1383). شکل مقدس، صفه، شماره 38، 125-95.
  5. Alberti, B. L. (1987). The Ten Books of Architecture. Dover Publications.p108.
  6. Bailey, B.W and Raich, A.M. (2007). Interactive multi-objective design of long-span trusses. In Proceedings of the 9th annual conference on Genetic and evolutionary computation (GECCO '07). Association for Computing Machinery, New York, NY, USA, 902. https://doi.org/10.1145/1276958.1277132.
  7. Brown, N. C., & Mueller, C. T. (2020). Design Variable Analysis and Generation for Performance-Based Parametric Modeling in Architecture.
  8. Byrne, Jonathan, Michael Fenton, Erik Hemberg, James McDermott, Michael O’Neill, Elizabeth Shotton, and Ciaran McNally. (2011). Combining Structural Analysis and Multi-Objective Criteria for Evolutionary Architectural Design. Springer, HTTPs://doi.org/10.1007/978-3-642-20520-0_21.
  9. Deb, K., Pratap, A., Agarwal, S., & Meyarivan, T. (2002). A fast and elitist Mult objective genetic algorithm: nsga-ii. IEEE Transactions on Evolutionary Computation, 6(2), 182-197. https://doi.org/10.1109/4235.996017.
  10. Doczi, G. (1994). The Power of Limits. Shambhala Boston & London, p. 9.
  11. Euclid. (1956). The Elements (Sir T. Heath, Trans.). Dover Publications.
  12. Fonseca, C. M. and Fleming, P. (1995). An overview of evolutionary algorithms in Mult objective optimization. Evolutionary Computation, 3(1), 1-16. https://doi.org/10.1162/evco.1995.3.1.1.
  13. Huang, W., Xu, W and Wang, T. (2011). structural form generation using interactive genetic algorithm. Proceedings of the 16th International Conference on Computer Aided Architectural Design Research in Asia / The University of Newcastle, Australia 27-29 April 2011, pp. 751-760. https://doi.org/10.52842/conf.caadria.2011.751.
  14. Ivins, W. M. (1964). Art and Geometry: A Study in Space Intuitions. Dover Publications, p. 40.
  15. Kepler, J. (1995). Epitome of Copernican Astronomy and Harmonies of the World (C. G. Wallis, Trans.). Prometheus Books.
  16. MIT Digital Structures. (2019). Design Space Exploration Tools: User Manual Version 1.4. MIT. Retrieved from tools_readme_v1_4.pdf, p. 2.
  17. Mueller, C. T., & Ochsendorf, J. A. (2014). Combining structural performance and designer preferences in evolutionary design space exploration.
  18. Mueller, C. T., Lee, J., & Fivet, C. (2015). Modelling with Forces: Grammar-Based Graphic Statics for Diverse Architectural Structures.
  19. Smith, D., & Coull, A. (1991). Tall Building Structures: Analysis and Design. John Wiley & Sons.
  20. Yousif, S., Clayton, M & Tan, W. (2018). Towards Integrating Aesthetic Variables in Architectural Design Optimization. 106th ACSA Annual Meeting Proceedings, The Ethical Imperative. https://doi.org/10.35483/ACSA.AM.106.68.
Human Ecology
Volume 4, Issue 11
Summer 2025
Pages 1070-1088