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Modeling and visualizing of the formation of a snub dodecahedron in the AutoCAD system
- Authors: Romanova V.A.1, Strashnov S.V.1
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Affiliations:
- Peoples’ Friendship University of Russia (RUDN University)
- Issue: Vol 17, No 1 (2021)
- Pages: 42-50
- Section: Geometrical investigations of middle surfaces of shells
- URL: https://journals.rudn.ru/structural-mechanics/article/view/26185
- DOI: https://doi.org/10.22363/1815-5235-2021-17-1-42-50
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Abstract
The article is devoted to modeling and visualization of the formation of flat-nosed (snub-nosed) dodecahedron (snub dodecahedron). The purpose of the research is to model the snub dodecahedron (flat-nosed dodecahedron) and visualize the process of its formation. The formation of the faces of the flat-nosed dodecahedron consists in the truncation of the edges and vertices of the Platonic dodecahedron with the subsequent rotation of the new faces around their centers. The values of the truncation of the dodecahedron edges, the angle of rotation of the faces and the length of the edge of the flat-nosed dodecahedron are the parameters of three equations composed as the distances between the vertices of triangles located between the faces of the snub dodecahedron. The solution of these equations was carried out by the method of successive approximations. The results of the calculations were used to create an electronic model of the flat-nosed dodecahedron and visualize its formation. The task was generally achieved in the AutoCAD system using programs in the AutoLISP language. Software has been created for calculating the parameters of modeling a snub dodecahedron and visualizing its formation.
About the authors
Victoryna A. Romanova
Peoples’ Friendship University of Russia (RUDN University)
Author for correspondence.
Email: v.a.r-victoryna@mail.ru
Associate Professor of the Department of Civil Engineering of the Academy of Engineering
6 Miklukho-Maklaya St, Moscow, 117198, Russian FederationStanislav V. Strashnov
Peoples’ Friendship University of Russia (RUDN University)
Email: v.a.r-victoryna@mail.ru
Associate Professor of the Department of General Education Courses of the Faculty of Russian Language and General Educational Disciplines
6 Miklukho-Maklaya St, Moscow, 117198, Russian FederationReferences
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