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Modeling of the one-sided surface of the Klein bottle

Ivashchenko Andrey Viktorovich  (Candidate of Technical Sciences, Associate Professor, Moscow State University of Civil Engineering)

Stepura Anna Vyacheslavovna  (Lecturer, Moscow State University of Civil Engineering)

The article discusses two ways of modeling a topological surface - the Klein Bottle in the 3DMax graphics editor. Two variants of the visual image of the surface are presented. Currently, there is a turn in architecture and design towards extraordinary surfaces, the modeling of which presents certain difficulties. The expanding application of information modeling technologies allows for the approximation of complex surfaces with a high degree of accuracy and reliability. Designing and calculating which manually were extremely time-consuming. The observed tendency of the forms of architectural objects to approach biomorphic surfaces, as well as fractal geometry, mark a departure from the prismatic forms of buildings that filled the urban space in the twentieth century. Some paradox inherent in such forms as a Klein Bottle, a Mobius Sheet, the Boy's surface, etc. is at the forefront of modern conceptual solutions in architecture.

Keywords:Klein bottle, one-sided surface, topological surface, information modeling technologies (TIM), 3DMax graphic editor.
 

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Citation link:
Ivashchenko A. V., Stepura A. V. Modeling of the one-sided surface of the Klein bottle // Современная наука: актуальные проблемы теории и практики. Серия: Естественные и Технические Науки. -2022. -№02. -С. 54-58 DOI 10.37882/2223-2966.2022.02.17
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