Fractal Geometry and Quantitative Evaluation of the Aesthetic Appeal of Ancient Armenian Architecture Monuments
Keywords:
Fractal, Fractal dimension, Architecture, PsychologyAbstract
A fractal analysis of the most important architectural monuments (temples) of medieval Armenia is given. Quantitative (objective) evaluations of their artistic appeal are obtained. These evaluations confirm the generally accepted (subjective) appeal of these temples as masterpieces of Armenian architecture. Based on the fractal data obtained, statistical conclusions are made about the high degree of architectural compatibility of the plans and facades of the monuments under consideration.
References
B. B. Mandelbrot, The Fractal Geometry of Nature, Freeman, San Francisco, 1982.
R. M. Crownover, Introduction to Fractals and Chaos, Jones and Bartlett Publishers, 1995.
J. Feder, Fractals, Publisher New York: Plenum Press, 1988.
P. K. Acharya, An encyclopaedia of Hindu architecture, Oxford University Press, 2010.
H. D. A. Ismail, “Fractal analysis of masterpieces of Islamic architecture—Ahmad Shah Mosque and Taj Mahal: justification of the method and experience of application”, (in Russian), Architecture and Modern Information Technologies, vol. 4, no. 21, 11 pp., 2012.
H. D. A. Ismail and M. Yu. Shishin, “Application of multi-stage fractal method in the analysis of the masterpiece of Islamic architecture — Ahmad Shah Mosque”, (in Ruassin), Art of Eurasia, vol. 3, no. 10, pp. 37–47, 2018.
I. A. Mayatskaya, G. I. Fazylzyanova, B. M. Yazyev and S. B. Yazyeva, “Fractality of gothic architecture”, (in Russian), Engineering Bulletin of the Don, vol. 4, 15 pp., 2025.
M. M. Djrbashian and A. B. Nersessian, “Fractional derivatives and the Cauchy problem for differential equations of fractional order”, (in Russian), Izv. Akad. Nauk Armjan. SSR. Ser. Mat., vol. 3, pp. 3–29, 1968.
J.C. Sprott, Strange attractors: Creating patterns in chaos, New York, M&T Books, 1993.
N. A. Salingaros, “Fractal art and architecture reduce physiological stress”, Computers and Graphics, vo. 27, no. 5, pp. 813–820, 2003.
S. Pyankova, “Fractal analysis in psychology: perception of self-similar objects”, (in Russian),Psychological Studies, vol. 9, no. 46, 14 pp., 2016.
S. Pyankova, “Subjective estimates of visual complexity and aesthetical appeal of fractal images: individual differences and genetic influences”, (in Russian), Psychological Studies, vol. 12, no. 63, 16 pp., 2019.
R. P. Taylor, “Reduction of Physiological Stress Using Fractal Art and Architecture”, Leonardo, vol. 39, no. 3, 2006.
C. M. Hagerhall, T. Purcell and R. Taylor, “Fractal dimension of landscape silhouette outlines as a predictor of landscape preference”, Journal of Environmental Psychology, vol. 24, no. 2, pp. 247–255, 2024.
F. I. Mavrikidi, “Fractal mathematics and the nature of change” (in Russian), Delphis, vol. 54, no. 2, 2008.
N. A. Salingaros, “Architecture, Patterns, and Mathematics”, Nexus Network Journal, vol. 1, no. 1, pp. 75–86, 1999.
W. E. Lorenz, Fractals and Fractal Architecture, Department of Computer Sided Planning and Architecture: Site Vienna University of Technology Vienn, 2003, www.fractalatinitest.com
C. Bovill, “Fractal geometry in architecture and design”, Birkh¨auser, pp. 73–92, 1996.
J. Strzygowski, Die Baukunst der Armenier und Europa: Ergebnisse einer vom Kunsthistorischen Institute der Universitat Wien 1913 durchgefuhrten Forschungsreise. Kunstverlag Anton Schroll & Co., 1918.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2025 Aren A. Nahapetyan
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
