English
Русский 89-95 p.
The article shows the presence of proportional correspondence of parts and the whole using the principles of fractal geometry in the formation of the concept of beauty of natural objects and phenomena. The objects of the artificial environment for the formation of images on the example of mathematical models of calculation of natural objects that have the properties of fractal are investigated. The article presents the types of fractals. Examples of fractal in physics, biology, chemistry are given. Fractal geometry can and should be used in modeling the structure of the artificial environment that humanity creates through architecture. The very process of designing a single building, and its integration into the urban environment, which in the process of formation is also quite chaotic, falls under the principles of fractal geometry. Modeling of these processes using the principles of fractal geometry allows not only to create the most comfortable artificial urban environment, but also to monitor the flow of all processes within it.
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2. Kronover R.M. Fraktaly i haos v dinamicheskih sistemah. M.: Tekhnosfera, 2006. 488 p. (rus.)
3. Kushner M. Budushchee arhitektury. 100 samyh neobychnyh zdanij. M.: AST, 2016. 176 p. (rus.)
4. Trube G. Putevoditel' po arhitekturnym formam. M.: Arhitektura S, 2014. 216 p. (rus.)
5. Mayatskaya I., Yazyev B., Yazyeva S., Kulinich P. Building construction: Architecture and nature. MATEC Web of Conferences, 2017.
6. Mayackaya I.A. Raspoznavanie prirodnyh ob"ektov s fraktal'noj poverhnost'yu. Mezhdunarodnyj nauchno-issledovatel'skij zhurnal. 2017. 7-3 (61). P. 54 – 58. (rus.)
7. Mandel'brot B. Fraktal'naya geometriya prirody. M.: Institut komp'yuternyh issledovanij, 2002. 656 p. (rus.)
8. Mayackaya I.A, YAzyeva S.B., YAzyev B.M. Optimal'nost' konstrukcij s tochki zreniya arhitekturnoj bioniki. Stroitel'stvo i tekhnogennaya bezopasnost'. 2017. 9 (61). P. 7 – 11. (rus.)
9. Mayackaya I.A, YAzyeva S.B., YAzyev B.M. Fraktal'nost' i simmetriya v arhitekturnyh elementah sooruzhenij. Stroitel'stvo i tekhnogennaya bezopasnost'. 2018. 12 (64). P. 29. (rus.)
10. https://ru.wikipedia.org/wiki/Fraktal (rus.)
11. Balhanov V.K. Osnovy fraktal'noj geometrii i fraktal'nogo ischisleniya. Ulan-Ude: Bashkuev. Ulan-Ude: Izd-vo Buryatskogo gosuniversiteta, 2013. 224 p.
12. Peitgen H.-O., Richter P.H. The Beauty of Fractals. Berlin: Springer. 1986. Russkij perevod: Pajtgen H.-O., Rihter P.H. Krasota fraktalov. M.: Mir. 1993.
13. Prusinkiewicz P. Selfsimilarity in plants: integrating mathematical and biological perspectives. In Novak M.M., editor, Thinking in Patterns: Fractals and Related Phenomena in Nature. Singapore: World Scientific. 2004. P. 103 – 118.
Yazyeva S.V., Yazyev B.M. Manifestation of fractal dimensions in the architecture of buildings and structures. Construction Materials and Products. 2019. 2 (4). P. 89 – 95. https://doi.org/10.34031/2618-7183-2019-2-4-89-95