On the Geometric Aspects of Architectural Compositions
DOI:
https://doi.org/10.54338/27382656-2025.9-06Keywords:
Non-Euclidian Geometry, Architecture, Poincaré model, Fractal, PsychologyAbstract
We consider different aspects of the application of non-Euclidean geometries in architectural compositions. The main attention is put on Lobachevski's and Mandelbrot's fractal geometry. Lobachevski's geometry is indirectly applied to architecture through models such as the Poincaré disc model. Using them, architects can design complex non-Euclidean forms that are represented as concave or saddle-shaped in modern buildings. The ideas of fractal geometry have been increasingly used in architectural compositions since the last decade of the 20th century. It has been noted that if the fractal component of an architectural structure is clearly traced, then this structure has strong architectural aesthetics. Many famous architectural compositions were studied on the subject of the application of non-Euclidean geometry and the level of their fractality. However, these questions have not been considered for Armenian architecture. The current paper is devoted to filling this gap and to drawing the attention of contemporary architects to the subject.
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