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PROBLEMS OF HIGHER EDUCATION IN CIVIL ENGINEERING

SHAPE GENERATION BY MEANS OF A NEW METHOD OF ORTHOGRAPHIC REPRESENTATION ("PROEKTIVOGRAFIYA": DRAWINGS OF MULTI-COMPONENT POLYHEDRA

Vestnik MGSU 6/2012
  • Andrey Ivashchenko Viktorovich - Metropolitan Academy of Finance and Arts (MAFA) Candidate of Technical Sciences, Associate Professor, Metropolitan Academy of Finance and Arts (MAFA), 15 Sharikopodshipnikovskaya St., Moscow, 109088, 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 (MSUCE) Candidate of Technical Sciences, Associated Professor, Chair, Department of Descriptive Geometry and Graphics, +7 (499) 183-24-83, Moscow State University of Civil Engineering (MSUCE), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 155 - 160

The authors analyze the capabilities of a traditional set of shape generation techniques that employ orthographic representation in the generation of polyhedra with account for the advanced approach to the research of new multi-nuclear structures.
In the past, designs based on one nucleus were used in practice. The use of two or more nuclei is considered in the article. In the most common case, the resulting system of planes will constitute multiple orthographic representations.
The characteristics of a binuclear system depend on the mutual positions and relation of dimensions of the nuclei. In addition to regular parameters, complete description of the system need particular supplementary parameters that determine the mutual positions of the nuclei. Increase in the number of nuclei causes increase in the number of descriptive parameters.
The authors provide examples of binuclear systems composed of tetrahedrons, cubes, and dodecahedrons, implemented in the Delphi medium. The results can be exported into any three-dimensional modeling system with a view to their further study and use.

DOI: 10.22227/1997-0935.2012.6.155 - 160

References
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  2. Gol’tseva R.I. Geometriya mnogogrannykh n-epyurnykh sistem. Sbornik Formoobrazovanie v stroitel’stve i arkhitekture [Geometry of Polyhedral Systems. Collection “Shape Formation in Construction and Architecture”]. Moscow, Moscow Institute of Civil Engineering named after V.V. Kuybyshev, 1986.
  3. Nikulin E.A. Komp’yuternaya geometriya i algoritmy mashinnoy grafiki [Computer Geometry and Computer Graphics Algorithms]. St.Petersburg, BKhV-Peterburg Publ., 2003.
  4. Korn G., Korn T. Spravochnik po matematike [Handbook of Mathematics]. Moscow, Nauka Publ., 1970.
  5. Vennidzher M. Modeli mnogogrannikov [Models of Polyhedra]. Moscow, Mir Publ., 1974.
  6. Ivashchenko A.V. Opisanie paketa programm «Proektivografiya». Sbornik “Dizayn i iskusstvovedenie” [Description of Software Package “Projectivographica”. Collection of Art and Design. Moscow, Moscow State Open Teachers’ Training University, 1995.
  7. Ivashchenko A.V. Modeli predstavleniya elementov sistemy proektivograficheskikh epyur i algoritm ikh opredeleniya. Sbornik nauchno-issledovatel’skikh rabot aspirantov i soiskateley MGOPU «Molodye golosa», vyp. 2. [Models of Elements of the System of Orthographic Drawings and Algorithms of Their Development. “Young Voices” Collection of Research Papers of Graduate Students and External Graduate Students of Moscow State Open Teachers’ Training University]. Moscow, Moscow State Open Teachers’ Training University, vol. 2, 2000.

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