In the heart of Rome, a researcher is unlocking secrets that could reshape the skylines of tomorrow. Aren Nahapetyan, from Sapienza University of Rome, is delving into the world of non-Euclidean geometries and their application in architectural design, a field that could significantly impact the energy efficiency and aesthetic appeal of future buildings.
Nahapetyan’s research, published in the *Journal of Architectural and Engineering Research* (translated from Armenian as *Journal of Architectural and Engineering Research*), explores the use of Lobachevski’s and Mandelbrot’s fractal geometry in architectural compositions. These geometries, which differ from the traditional Euclidean geometry, offer architects new tools to design complex, energy-efficient structures.
“Lobachevski’s geometry is indirectly applied to architecture through models such as the Poincaré disc model,” Nahapetyan explains. “Using them, architects can design complex non-Euclidean forms that are represented as concave or saddle-shaped in modern buildings.” These forms can enhance energy efficiency by optimizing natural light and airflow, reducing the need for artificial lighting and climate control.
Fractal geometry, on the other hand, brings a sense of harmony and aesthetics to architectural designs. Nahapetyan notes, “If the fractal component of an architectural structure is clearly traced, then this structure has strong architectural aesthetics.” This could make buildings more appealing to potential buyers or tenants, increasing their commercial value.
The research also highlights the potential of these geometries in Armenian architecture, a field that has not yet fully explored these concepts. By drawing attention to this gap, Nahapetyan hopes to inspire contemporary architects to embrace these innovative design principles.
The implications of this research extend beyond aesthetics and energy efficiency. As cities around the world strive to become smarter and more sustainable, the application of non-Euclidean geometries in architecture could play a crucial role. By optimizing the use of space and resources, these designs could contribute to the development of more sustainable urban environments.
Nahapetyan’s work serves as a reminder that the future of architecture lies not just in the bricks and mortar, but in the mathematical principles that underpin their design. As we look to build smarter, more efficient cities, the lessons from Lobachevski and Mandelbrot could prove invaluable.