Influence of subdivision frequency and base polyhedron on the structural efficiency of single-layer steel geodesic domes

Main Article Content

Jakub Szumieluk
Katarzyna Jeleniewicz


Keywords : geodesic dome, subdivision frequency, icosahedron, octahedron, structural efficiency, parametric modelling
Abstract

This paper presents a comparative numerical analysis of single-layer steel geodesic domes with a diameter of 30 m based on a regular icosahedron and a regular octahedron. Division frequencies 2 V, 4 V, 8 V, and 16 V were analysed using a Class I grid. The study assumes that increasing the subdivision frequency improves structural performance and that the choice of the base solid affects material efficiency. The results show that higher frequencies reduce bending moments and shift the structural behaviour towards axial forces, which allows smaller cross-sections and lower mass. At 16 V, the icosahedral dome was about 20% lighter than the octahedral one. Domes based on the icosahedron also required fewer unique member lengths and achieved better geometric efficiency.

Article Details

How to Cite
Szumieluk, J., & Jeleniewicz, K. (2026). Influence of subdivision frequency and base polyhedron on the structural efficiency of single-layer steel geodesic domes. Acta Scientiarum Polonorum. Architectura, 25, 74–93. https://doi.org/10.22630/ASPA.2026.25.5
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