Abstract
Structures and geometry are closely associated; forms and forces are correlated in structures. With the advancement of geometric systems throughout the centuries, structures got new shapes, thus pushing the boundaries of architectural designs. Geometric advancement also contributed to making structures more efficient than before. Fractal geometry is one of the latest geometric systems systematically studied in the 1970s that opened a new avenue for systematically designing lightweight and sustainable structures. The self-similar repetition quality of fractal geometry is a source of making visually complex and structurally effective shapes. This paper has overviewed and summarized the structural potentials of fractal geometry and its applications in structural forms design in some existing structures and recent research works. It also provides insight into the constructional challenges of fractal-shaped complex structures and finds solutions through the recent development of automation in construction, such as digital fabrications and automated assemblies. Finally, in conclusion, the future prospect of fractal’s potential contribution to efficient structural designs has been further briefed.
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References
Asayama S, Mae T (2016) Geometrical basis and mechanical characteristics of a fractal hexagon dome. In: Proceedings of IASS Annual Symposia. Vol. 2016. No. 14. international association for shell and spatial structures (IASS), Tokyo, pp 1–8
Bovill C (1996) Fractal geometry in architecture and design. Birkhouser, Boston
Cheung KC, Gershenfeld N (2013) Reversibly assembled cellular composite materials. Science 341(6151):1219–1221
Eiffel G (1900) Travaux scientifiques exécutés à la tour de trois cents mètres de 1889 à 1900. L. Maretheux, imprimeur, Paris
Farr RS, Mao Y (2008) Fractal space frames and metamaterials for high mechanical efficiency. EPL (Europhysics Letters) 84(1):14001
Harris J (2012) Fractal architecture: organic design philosophy in theory and practice. UNM Press
Jencks C (1997) The architecture of the jumping universe: A polemic: How complexity science is changing architecture and culture. Academy Editions, London
Joye Y (2011) A review of the presence and use of fractal geometry in architectural design. Environ Plann B Plann Des 38(5):814–828
Mandelbrot BB (1982) The fractal geometry of nature, vol 1. WH freeman, New York
Menna C, Mata-Falcón J, Bos FP, Vantyghem G, Ferrara L, Asprone D, Kaufmann W (2020) Opportunities and challenges for structural engineering of digitally fabricated concrete. Cem Concr Res 133:106079
Meza LR, Greer JR (2014) Mechanical characterization of hollow ceramic nanolattices. J Mater Sci 49:2496–2508
Ostwald MJ (2001) Fractal architecture”: late twentieth century connections between architecture and fractal geometry. Nexus Netw J 3:73–84
Rian IM (2019) IFS-based computational morphogenesis of a hierarchical trussed beam. In: Proceedings of Ji-Hyun Lee (eds) “Hello, Culture!”, CAAD futures 2019, Daegu, South Korea, CuminCad, pp 552–564
Rian IM, Asayama S (2016) Computational Design of a nature-inspired architectural structure using the concepts of self-similar and random fractals. Autom Constr 66:43–58
Rian IM, Ibrahim A (2022) Fractal-based perforation morphology and structural optimization of perforated steel beams. In: Proceedings of the IASS 2022 symposium affiliated with APCS 2022 conference innovation·sustainability·legacy, 19–22 September. China, pp 2374–2381
Rian IM, Sassone M (2014) Tree-inspired dendriforms and fractal-like branching structures in architecture: a brief historical overview. Front Architect Res 3(3):298–323
Rian IM, Park J-H, Ahn HU, Chang D (2007) Fractal geometry as the synthesis of Hindu cosmology in Kandariya Mahadev temple. Khajuraho. Building and Environment 42(12):4093–4107
Rian IM, Sassone M, Asayama S (2018) From fractal geometry to architecture: Designing a grid-shell-like structure using the Takagi-Landsberg surface. Comput Aided Des 98:40–53
Vyzantiadou MA, Avdelas AV, Zafiropoulos S (2007) The application of fractal geometry to the design of grid or reticulated shell structures. Comput Aided Des 39(1):51–59
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Rian, I.M. (2024). A Brief Overview of the Applications and Potentials of Fractal Geometry in Sustainable Structures Design. In: Papadikis, K., Zhang, C., Tang, S., Liu, E., Di Sarno, L. (eds) Towards a Carbon Neutral Future. ICSBS 2023. Lecture Notes in Civil Engineering, vol 393. Springer, Singapore. https://doi.org/10.1007/978-981-99-7965-3_62
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DOI: https://doi.org/10.1007/978-981-99-7965-3_62
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