ENGINEERING GEOMETRY AND COMPUTER GRAPHICS

ANALYSIS OF JOHNSON POLYHEDRA USING PROJECTIVE GEOMETRY TECHNIQUES

Vestnik MGSU 5/2013
  • Ivashchenko Andrey Viktorovich - Union of Moscow Architects 90/17 Shosseynaya str., Moscow, 109383, Russian Federation; ivashchenkoa@inbox.ru, Union of Moscow Architects, 7 Granatnyy per., Moscow, 123001, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Kondrat’eva Tat’yana Mikhaylovna - Moscow State University of Civil Engineering (MGSU) Candidate of Technical Sciences, Associate Professor, Chair, Department of Descriptive Geometry and Graphics; +7 (499) 183-24-83., Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation.

Pages 226-229

The authors analyze the capabilities of projective geometry techniques based on the method of tracing for diagrams, as applied to problems of Johnson polyhedra and formation of convex polyhedral structures. Johnson polyhedra, known as Johnson solids, demonstrate a specific type of symmetry. Each polyhedron can serve as the core for varied shapes capable of preserving their properties. The authors believe that the research into clusters of Johnson solids have a stronger potential than any research into a single Johnson polyhedron. The paper shows how the change of parameters (rotation angles, axis of symmetry, and number of facets) can be preserved for a variety of shapes; this is a very lucrative property in terms of architecture and design. Specialized computer software is used for the practical implementation of the method.

DOI: 10.22227/1997-0935.2013.5.226-229

References
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