ENGINEERING GEOMETRY AND COMPUTER GRAPHICS

Using AutoCAD to improve the visibility of the organizational technological design

Vestnik MGSU 1/2014
  • Lebedeva Irina Mikhailovna - Moscow State University of Civil Engineering (MGSU) Assistant Professor, Department of Descriptive Geometry and Graphics, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 202-208

The article describes the issue of increasing the visibility of technological solutions in organizational-technological design. The ability to visualize the main stages of building process technology contributes to organic integration of all the requirements. A special role for the harmonious perception is played by correct display of the lighting facilities, shadowing. Realistic shadows help to analyze the rooms’ insolation of the designed fa- cility and the surrounding areas. We give a justification for the use of AutoCAD in order to automate the process of visualizing the results of organizational-technological design. The author describes the methods of obtaining realistic natural lighting in AutoCAD without significantly increasing the complexity of the process. Engineering companies in 46 % of cases use the software AutoCAD in order to create construction plans. AutoCAD has a variety of possibilities and is constantly evolving. Continuation is one of the benefits of this program. AutoCAD is unique in terms of customization, because, apart from instruction languages, it has two built-in programming languages: AutoLISP and VisualBasic. Because of these specific features AutoCAD allows to create any applications related to graphics implementation. Constant monitoring of lightning changes allows finding the appropriate in terms of aesthetics, ergonomics and insolation decisions on planning and associating a building or structure to the environment. Solar lighting is simulated by a combination of several directional lightning point sources. The author offers a brief description of the program algorithm, which allows automatically managing lighting settings and creating a file with a realistic visualization of the design solutions.

DOI: 10.22227/1997-0935.2014.1.202-208

References
  1. Lapidus A.A., Telichenko V.I. Informatsionnoe modelirovanie tekhnologiy i biznesprotsessov v stroitel'stve: monografiya [Information Modeling of Technology and Business Processes in Construction. Monograph]. Moscow, ASV Publ., 2008.
  2. Kolesnikova E.B., Sinenko S.A. Tekhnologiya virtual'noy real'nosti v otobrazhenii stroitel'nogo general'nogo plana pri vozvedenii ob"ekta [Technology of Virtual Reality in Presentation of General Lay-out in the Process of Building an Object]. Promyshlennoe i grazhdanskoe stroitel'stvo [Industrial and Civil Engineering]. 2012, no. 11, pp. 44—46.
  3. Lebedeva I.M., Sinenko S.A. Problemy realisticheskoy vizualizatsii organizatsionnotekhnologicheskikh resheniy v srede AutoCAD [The Problems of Realistic Visualization of the Organizational and Technological Solutions in AutoCAD]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2011, no. 8, vol. 2, pp. 451—458.
  4. Lebedeva I.M., Sinenko S.A. Algoritm programmy vizualizatsii proektnykh resheniy v srede AUTOCAD [Algorithm of Visualization Software of Design Decisions in AUTOCAD]. Tekhnologiya i organizatsiya stroitel'nogo proizvodstva [Technology and Organization of Construction Industry]. 2012, no. 1(1), pp. 43—46.
  5. Poleshchuk N.N. AutoCAD Razrabotka prilozheniy, nastroyka i adaptatsiya [AutoCAD: Application Development, Customization and Adaptation]. Saint Petersburg, BKhV-Peterburg Publ., 2006.
  6. Klimacheva T.N. Trekhmernaya komp'yuternaya grafika i avtomatizatsiya proektirovaniya na VBA v AutoCAD [3D Computer Graphics and Computer-aided Design on VBA in AutoCAD]. Moscow, Press, 2008, 464 p.
  7. Zatsepin P.M. Avtomatizirovannaya sistema proektirovaniya kontrolya ob"ektov stroitel'stva [Automated System of Control of Construction Projects Designing]. Promyshlennoe i grazhdanskoe stroitel'stvo [Industrial and Civil Engineering]. 2009, no. 6, pp. 60.
  8. Pedersen Mathias. Tekhnologiya i metody osveshcheniya [Technology and Lighting Techniques]. Available at: http://b3d.mezon.ru/index.php/Chapter_11.1:_Lighting_Discussion. Date of access: 03.04.2012.
  9. Rogers D., Adams J. Matematicheskie osnovy mashinnoy grafiki [Mathematical Background of Computer Graphics]. 2nd ed. Moscow, Mir Publ., 2001.

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Configuration of Desargue in architectural and design engineering

Vestnik MGSU 9/2014
  • 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 .
  • Znamenskaya Elena Pavlovna - Moscow State University of Civil Engineering (National Research University) (MGSU) Candidate of Technical Sciences, Associate Professor, Department of Descriptive Geometry and Graphics, Moscow State University of Civil Engineering (National Research University) (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 154-160

The Desargue configuration plays an essential role not only in projective geometry, being the main configuration in projective and perspective correspondence of rows of points and lines, but is also rich in applications in architectural and design engineering. The article describes the main aspects of planar and spatial configuration of Desargue, and fundamental principles having particular importance in the shaping theory based on projectography. The described configuration properties indicate the possibility of wide application in architectural design and engineering and allow predicting the effects of perception of rather complex architectural forms. Examples of a number of buildings are given, where in modern design solutions of architects spatial configuration motives are visible. Planar configuration option is often used as decoration and fencing. The authors conclude that researching the configuration of Desargue in different variants and modifications not only contributes to better understanding of the theory of perspective and shadows, but also provides opportunity to detect relations of the problems, which are different at the first sight. However it is necessary to take into account, that many postulates of the theory are quite complicated and significant amount of time is needed for learning it.

DOI: 10.22227/1997-0935.2014.9.154-160

References
  1. Berzhe M. Geometriya [Geometry]. Moscow, Mir Publ., 1984, vol. 1, 297 p.
  2. Vinogradov I.M., editor. Matematicheskaya entsiklopediya [Mathematical Encyclopedia]. Moscow, Sovetskaya entsiklopediya Publ., 1979, vol. 2, 1104 p.
  3. Gamayunov V.N. Proektivografiya. Geometricheskie osnovy khudozhestvennogo konstruirovaniya. [Projectography. Geometric Foundations of Artistic Design]. Moscow, MGPI Publ., 1976, 25 p.
  4. Prokhorov Yu.V., editor. Matematicheskiy entsiklopedicheskiy slovar' [Encyclopedic Dictionary of Mathematics]. Moscow, Sovetskaya entsiklopediya Publ., 1988, 848 p.
  5. Wieleitner H. Istoriya matematiki ot Dekarta do serediny 19 stoletiya [History of Mathematics from Descartes to the mid-19th century]. Moscow, Fizmatlit Publ., 1960, 468 p.
  6. Ivashchenko A.V., Kondrat'eva T.M. Proektivograficheskiy analiz mnogogrannikov Dzhonsona [Analysis of Johnson’s Polyhedra Using Projective Geometry Techniques]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2013, no. 5, pp. 226—229.
  7. Hilbert D., Cohn-Vossen S. Anshauliche Geometrie. Berlin, Springer, 1996, 365 s.
  8. Chetverukhin N.F. Proektivnaya geometriya [Projective Geometry]. 7th edition. Moscow, Gosudarstvennoe uchebno-pedagogicheskoe izdatel'stvo Publ., 1961, 360 p.
  9. Coxeter H.S.M. Projective Geometry. New York, Blaisdell Publ., 1964, pp. 26—27.
  10. Lelong-Ferrand J. Les Fondements de La Geometrie. Presses universitaires de France; 1re ed edition, 1985, 287 p.
  11. Semple J., Kneebone G. Algebraic Projective Geometry. Oxford, 1952, 405 p.
  12. Ivashchenko A.V., Kondrat'eva T.M. Proektivograficheskie chertezhi mnogokomponentnykh sistem mnogogrannikov [Shape Generation by Means of a New Method of Orthographic Representation ("Proektivografiya"): Drawings of Multi-Component Polyhedra]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2012, no. 6, pp. 155—160.
  13. Efimov N.V. Vysshaya geometriya [Higher Geometry]. 5th edition. Moscow, Nauka Publ.,1971.
  14. Voloshinov A.V. Matematika i iskusstvo [Mathematics and Art]. Moscow, Prosveshchenie Publ., 2000, 400 p.
  15. Sobolev N.A. Obshchaya teoriya izobrazheniy [The General Theory of Images]. Moscow, Arkhitektura-S Publ., 2004, 672 p.
  16. Runge V.F., Sen'kovskiy V.V. Osnovy teorii i metodologii dizayna [Fondamentals of Design Theory and Methodology]. Moscow, MZ-Press, 2003, 252 p.

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Geometrical models of quadratic-rectangular sets with particular examples of composite solutions

Vestnik MGSU 9/2014
  • Polezhaev Yuriy Olegovich - Moscow State University of Civil Engineering (MGSU) Associate Professor, Department of Descriptive Geometry and Graphics, member of International Union of Russian Artists, Moscow State University of Civil Engineering (MGSU), 6 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; +7 (499) 183-24-83; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Borisova Anzhelika Yur'evna - Moscow State University of Civil Engineering (MGSU) Candidate of Technical Sciences, Associate Professor Department of Descriptive Geometry and Graphics, Moscow State University of Civil Engineering (MGSU), 6 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; +7 (499) 183-24-83; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Borisova Viktoria Aleksandrovna - Moscow State University of Civil Engineering (MGSU) student, Institute of Environmental Engineering and Mechanization, Moscow State University of Civil Engineering (MGSU), 6 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; +7 (499) 183-24-83; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 161-167

During the current decades the aspect of geometrography compositions formation on the basis of basic images has been actively developed. The basic images possess the qualities of harmonies, expressed by lines, squares, tone, color. The relations of square-rectangular forms belonging to plane geometry of parabolic, hyperbolic and elliptic fields has been already analyzed by scientists. This article introduces equiareals construction of square-rectangular shapes, as well as their rows - in classical composition of elementary figures of "squaring the circle". Variations of such constructions, in their turn, offer the possibility to seek and capture new geometrical graphical compositions, practical application of which can be wide enough in technology design and mechanical engineering, architecture and construction, decoration of household items, arts and crafts and costume fabrics, et cetera. The authors consider the topic of plane geometry "Field-M", which is based on a rectilinear grid of ortholines with circulations in its nodal points. The conclusions made by the authors is that the necessity of solutions for more and more various and complicated problems in the conditions of time limitation determines the development of geometrography methods as an effective operating system along with program methods of cognitive graphics.

DOI: 10.22227/1997-0935.2014.9.161-167

References
  1. Kapustina O.M., Martynenko Yu.G. Ispol'zovanie sistem simvol'nykh vychisleniy v prepodavanii teoreticheskoy mekhaniki [Application of Symbolic Calculation in Teaching Theoretical Mechanics]. MEI, MGU, Publ., 2012. Available at: http://vuz.exponenta.ru/PDF/book/KapMart2.pdf. Date of access: 21.04.2014.
  2. Kheyfets A.L. Uchebnyy kurs teoreticheskikh osnov 3D-komp'yuternogo geometricheskogo modelirovaniya i ego perspektivy [Study Course of Theoretical Foundations of 3D Computer Geometric Modeling and its Opportunities]. Informatizatsiya inzhenernogo obrazovaniya : trudy Mezhdunarodnoy nauchno-metodicheskoy konferentsii. INFORINO-2012 (Moskva, 10—11 aprelya 2012 g.) [Information of Engineering Education : Works of International Research and Methodology Conference. INFORINO-2012 (Moscow, April 10—11, 2012)]. Moscow, MEI Publ., 2012, pp. 119—122.
  3. Kondrat'eva T.M., Polezhaev Yu.O. Chastnye voprosy geometrografii primenitel'no k sisteme "Pole-metr" i kvadrature kruga [Special Questions of Geometrography Relating to the System "Pole-metr" and Quadrature of a Circle]. Inzhenernaya geometrografiya — issledovaniya i razrabotki : sbornik nauchnykh trudov. Moscow, MGSU Publ., 2006.
  4. Polezhaev Yu.O., Borisova A.Yu., Kondrat'eva T.M. Lineynye puchki v tsirkul'no-ellipticheskikh sootvetstviyakh [Linear Bundles within the Framework of Coincidence of Circle and Ellipse]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2012, no. 6, pp. 62—67.
  5. Polezhaev Yu.O., Mitina T.V. Sootnosheniya geometricheskikh elementov kvadratury kruga v «Pole-M» [Correlation of Geometric Entities of the Quadrature of the Circle]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2010, no. 4, vol. 5, pp. 250—254.
  6. Arkhimed, Gyugens, Lezhandr, Lambert. O kvadrature kruga [On Squaring the Circle]. Editorial USSR, 2003, 239 p.
  7. Khal Khellman. Velikie protivostoyaniya v nauke. Desyat' samykh zakhvatyvayushchikh disputov [Great Confrontations in Science. Ten of the Liveliest Disputes Ever]. Moscow, ID Vil'yams Publ., 2007, 320 p.
  8. Polya G. Mathematical Discovery: On Understanding, Learning and Teaching Problem Solving Combined Edition. 1981, Wiley; Combined edition, 432 p.
  9. Fedorov E.S. Nachala ucheniya o figurakh [Foundamentals of the Theory of Figures]. Moscow, EE Media Publ., 2012, 418 p.
  10. Gil'bert D. Osnovaniya geometrii [Foundations of Geometry]. Moscow, Leningrad, OGIZ Publ., 1948, 491 p.
  11. Hilbert D., Cohn-Vossen S. Anschauliche Geometrie. 1996, Springer; Auflage: 2. Aufl., 365 p.
  12. Klein F. Neevklidova geometriya [Non-Euclidean Geometry]. Moscow, Leningrad, GTTI Publ., 1936, 355 p.
  13. Bashlykov A.A. Obraznoe predstavlenie sostoyaniya slozhnykh tekhnologicheskikh ob"ektov upravleniya [Figurative State Representation of Complex Engineering Systems]. Iskusstvennyy intellekt i prinyatie resheniy [Artificial Intellect and Decision-Making]. 2013, no. 3, pp. 9—18. Available at: http://www.aidt.ru/images/documents/2012-03/9_18.pdf. Date of access: 11.09.2013.
  14. Gornov A.O., Shatsillo L.A. Fraktal'nyy podkhod k strukturirovaniyu geometro-graficheskoy podgotovki [Fractal Approach to Structuring of Geometry-Graphical Education]. Innovatsionnye tekhnologii v inzhenernoy grafike. Problemy i perspektivy : Materialy Mezhdunarodnoy nauchno-prakticheskoy konferentsii (Brest 21 marta 2014 g.) [Innovation Technologies in Engineering Graphics. Problems and Opportuninties : Materials of International Scientific and Practical Conference (Brest, March, 21, 2014)]. Brest, BrGTU Publ., 2014, pp. 19—22. Available at: http://ng.sibstrin.ru/wolchin/img/Brest%202014.pdf. Date of access: 11.05.2014.
  15. Shcheglov G.A. O kompetentsiyakh CAD/CAE integratsii geometrograficheskikh modeley [On the Competences of CAD/CAE Integration of Geometrographical Models]. Informatsionnye sredstva i tekhnologii : trudy 20 Mezhdunarodnoy nauchno-tekhnicheskoy konferentsii (20—22 noyabrya 2012 g. Moskva) : v 3 t. [Informational Media and Technologies : Works of the 20th International Science and Technical Conference (November 20—22, 2012, Moscow) : in 3 volumes]. Moscow, MEI Publ., 2012, vol. 2, pp. 81—84.

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FORM GRAPHICS CONSTRUCTION OF A DOUBLE-PLATE FRAMEWORK THAT HAS AN ISO-RHOMBOIDAL STAR-LIKE SHAPE

Vestnik MGSU 1/2013
  • Filin Yuriy Nikolaevich - Moscow State University of Civil Engineering (MGSU) Advisor-lecturer in Form Graphics, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow,129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 225-233

The author has generated an original solution of simulated surfaces of a doubleplate framework for the new iso-rhomboidal star-like shape that has 16 faces.The aforesaid solution was successfully applied in the construction of projectivegraphical images and in the design of basic models of plate frameworks generated in the form of two inter-crossing tetrahedrons.The bi-coloured solution has proven the original nature of the drawing thanks to the faces of both tetrahedrons. The computer simulation of images of new iso-rhomboidal star-like items contemplates a reliable transfer of separate dimensions of their faces and typical stripes of their lattices.Similarly, a bi-coloured plate framework for the new iso-rhomboidal star-like item may be produced. A 3D plate framework was successfully produced using the aforesaid drawings, inclusive of axonometric and graphic images of typical faces.Two types of plate modules were used in the design of the new iso-rhomboidal starlike shape. The new unique graphical solution implemented in the bi-coloured double-plate framework, produced using the module assembly method, has a practical importance for the purposes of design of landscape architecture products and major structural design projects.

DOI: 10.22227/1997-0935.2013.1.225-233

References
  1. Kartavtsev N.S., Georgievskiy O.V., Filin Yu.N. Izokonstruktor formograficheskogo postroeniya Zvezdchatogo Izoromboidnogo Superkompakta [Graphic Design of Construction of the Star-like Isorhomboidal Supecompact]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2011, no. 4, pp. 60—64.
  2. Filin Yu.N., Kartavtsev N.S., Kartavtsev I.S. Formoobrazovanie triady piramid peresekayushchikhsya komponentnykh tetraedrov [Shape Formation of a Triad of Pyramids of Crossing Component Tetrahedrons]. Integratsiya, partnerstvo i innovatsii v stroitel'stve i obrazovanii [Integration, Partnership and Innovations in Construction Sciences and Education]. Collected Works of International Scientific Conference. MGSU Publ., 2011, vol. 2, pp. 769—773.
  3. Sovetskiy entsiklopedicheskiy slovar' [Soviet Encyclopaedic Dictionary]. Moscow, Sovetskaya entsiklopediya publ., 1980, p. 1132.
  4. Filin Yu.N., Kartavtsev N.S., Kartavtsev I.S. Protoromboid-konstruktor formografiki enantiomorfnykh piramid [Proto-rhomboid Constructor of Form-Graphical Solutions of Enantiomorphous Pyramids]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2011, no. 1, vol. 2, pp. 129—135.
  5. Filin Yu.N., Kartavtsev I.S., Kartavtsev N.S. Dvukhtsvetnoe reshenie formografiki komponentnykh tetraedrov [Bi-Coloured Form Graphics Solution for Component-Type Tetrahedrons]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2012, no. 5, pp. 12—17.
  6. Moskvin M.A., Filin A.Yu., Filin Yu.N. Raskrytie fenomena geometricheskoy komponentnosti v arkhitekturnom prilozhenii-prezentatsii Arkhikub-konstruktora «Kvadroizokub» [Disclosure of Phenomenon of Geometrical Components in Architectural Application-Presentation of Constructor “Quadroisocube”]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2010, no. 2, pp. 85—89.
  7. Kartavtsev I.S., Kartavtsev N.S., Filin Yu.N., editors: Telichenko V.I., Volkov A.A., Bilchuk I.L. Form Graphics Construction of Plate Frameworks for Componential Tetrahedrons. Collected works of the 14th International Conference on Computing in Civil and Building Engineering, pp. 146—147. Moscow, June 27—29, 2012.
  8. Gamayunov V.N. Obrazy virtual'nogo mira [Images of the Virtual World]. Moscow, Academia Publ., 2004, pp. 150—154.
  9. Berzhe M. Geometriya [Geometry]. Moscow, MIR Publ., 1984, vol. 1, pp. 38—48.
  10. Wenninger M. Polyhedron Models. Cambridge, Cambridge University Press, 1971, 236 p.
  11. Gusakov A.A., editor. Sistemotekhnika stroitel’stva. Entsyklopedicheskiy slovar’. [Construction Systems Engineering. Encyclopedia]. Moscow, ASV Publ., 2004, p. 14.
  12. Bozhko Yu.G. Osnovy arkhitektoniki I kombinatoriki formoobrazovaniya [Basis of Architectonics and Combinatorics of the Forming]. Khar’kov, Vishcha shkola Publ., 1984, 184 p.
  13. Dykhovychnyy Yu.A., Zhukovskiy E.Z., Ermolov V.V. Sovremennye prostranstvennye konstruktsii (zhelezobeton, metall, derevo, plastmassy) [Modern 3D Structures (Reinforced Concrete, Metal, Wood, Plastic)]. Moscow, Vyssh. shk. publ., 1991, 543 p.
  14. Filin Yu.N. Formograficheskoe postroenie plastinchatogo karkasa novoy zvezdchatoy formy [A Form-Graphics Construction of the Plate Framework for the New Star-like Form]. Integratsiya, partnerstvo i innovatsii v stroitel'noy nauke i obrazovanii [Integration, Partnership and Innovations in Construction Sciences and Education]. Collected Works of International Scientific Conference. MGSU Publ., 2012, pp. 797—801.

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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
  1. Zalgaller V.A. Vypuklye mnogogranniki s pravil’nymi granyami [Convex Polyhedra Having Regular Faces]. Moscow, Nauka Publ., 1967, vol. 2, pp. 5—221.
  2. Gurin A.M. K istorii izucheniya vypuklykh mnogogrannikov s pravil’nymi granyami [Background of Study of Convex Polyhedra with Regular Faces]. Sib. elektron. matem. izv. [Siberian Electronic News of Mathematics]. 2010, vol. 7, pp. 5—23.
  3. Vennidzher M. Modeli mnogogrannikov [Models of Polyhedra]. Moscow, Mir Publ.,1974.
  4. Ivashchenko A.V., Kondrat’eva T.M. Proektivograficheskie chertezhi mnogokomponentnykh sistem mnogogrannikov [Shape Generation by Means of a New Method of Orthographic Representation (“Proektivografiya”): Drawings of Multi-Component Polyhedra]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2012, no. 6, pp. 155—160.
  5. Gamayunov V.N. Proektivografiya [Projective Geometry Means of Graphic Presentation]. Moscow, MGPI Publ., 1976.
  6. Gol’tseva R.I. Geometriya mnogogrannykh n-epyurnykh sistem [Geometry of Polyhedral n-faced Systems]. Formoobrazovanie v stroitel’stve i arkhitekture [Shape Formation in Construction and Architecture]. Moscow, MISI im. Kuybysheva Publ., 1986, pp. 175—222.
  7. Weisstein E.W. Johnson Solid. Wolfram Mathworld. Available at: http://mathworld.wolfram.com/JohnsonSolid.html.
  8. Dutch S. Polyhedra with Regular Polygon Faces. Available at: http://www.uwgb.edu/dutchs/symmetry/johnsonp.htm.

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DEVELOPMENT OF FORM GRAPHICS OF INFO-HYPERCUBE USING PROTOCUBE-DESIGNER METHOD

Vestnik MGSU 5/2013
  • Filin Yuriy Nikolaevich - Moscow State University of Civil Engineering (MGSU) Advisor-lecturer in Form Graphics, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow,129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Kartavtsev Ivan Sergeevich - Tula State University (TSU) postgraduate student, Tula State University (TSU), 92 prospekt Lenina, Tula 300012, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Kartavtsev Nikolay Sergeevich - Bureau of Heating and Ventilation Systems, Design and Engineering Centre, branch of Tulachermet Joint Stock Company Design Engineer, Bureau of Heating and Ventilation Systems, Design and Engineering Centre, branch of Tulachermet Joint Stock Company, 102B prospekt Lenina, Tula, 300012, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 230-238

The authors state the main aspects of innovative construction of form graphics of the structural geometric model of the Informative Hypercube produced using the universal Protocube-Designer method. The process of construction of the Info-Hypercube model is based on a well-known geometric transformation (motion) technique, i.e. spatial displacement of two components of the initial cubic model represented by a pair of trihedrons, which complies with a well-known phenomenon of geometric componenthood (PGC). The use of the Protocube-Designer is used to construct the Info-Hypercube model form graphics stage by stage, on the basis of which the internal structure of the Info-Hypercube is formed. The method of Protocube-Designer makes it possible to reduce the cube model into a plane octagonal structure for the production of the pr-matrix lattice. Then, the required transformation of the plane structure with a pr-matrix into a spatial cubic model is performed. Thus, the aforesaid pratrix is used here as a structural unit for the production of a form graphics space lattice. The final fill-in of the whole internal structure of the Info-Hypercube is performed through completion of six additional intersecting planes (plates) passing through the central Infocube in accordance with a typical one-side form graphics obtained earlier. The total number of planes in the internal Info-Hypercube structure will be equal to 18 (6 planes restricting the cubic form and 12 planes intersecting inside the model). As a result of this visual graphic construction, a rational formalized geometric Info-Hypercube model is obtained. This model represents an informative form graphics structure. The model is used in different fields, including constructive geometry, shaping of structural design elements as well as design of modern buildings and engineering structures.

DOI: 10.22227/1997-0935.2013.5.230-238

References
  1. Moskvin Ì.À., Filin Yu.N. Strukturokomponentnyy Infokub — innovatsiya arkhitekturnogo proektirovaniya [Structural Component Infocube as an Architectural Design Innovation]. Nauchno-tekhnicheskoe tvorchestvo molodyozhi — put’ k obshchestvu, osnovannomu na znaniyakh. Sb. nauch. dokladov nauch.-pract. konf. MGSU [Youth Creativity in Science and Engineering as a Way to Knowledge-Enabled Society. Collected Works of Scientific and Practical Conference]. MGSU Publ., 2010, pp. 79—81.
  2. Georgievskiy O.V., Filin Yu.N. Osobennosti konstruktivnoy geometrii modeli Infokuba [Features of Constructive Geometry of the Infocube Model]. Vestnik MGSU [Proceeding of Moscow State University of Civil Engineering]. 2010, no. 4, vol. 5, pp. 210—215.
  3. Moskvin Ì.À., Filin A.Yu., Filin Yu.N., Gamayunov V.N. Subinformativnost’ kompozitsii modeli «Izokub» kak fundament formografiki dvukhkomponentnogo Giperkuba [Sub-information of the Isocube Model as the Basis for the Form Graphics of the Two-Component Hypercube]. Stroitel’stvo — formirovanie sredy zhiznedeyatel’nosti. Sbornik nauchnyh trudov Dvenadtsatoy Mezhdunarodnoy mezhvuzovskoy nauch.-pract. konf. molodyh uchenyh, doktorantov i aspirantov [Construction — Formation of Living Environment. Collection of research papers of the 12th International Interuniversity Scientific and Practical Conference of Young Scholars, Postgraduates and Doctoral Students]. April 15—22, 2009 MGSU Publ., 2009, pp. 308—310.
  4. Moskvin Ì.À., Filin A.Yu. Protokub-konstruktor — prototip modeli «Izokub» [Protocube-Constructor — Prototype of the Isocube Model]. Stroitel’stvo — formirovanie sredy zhiznedeyatel’nosti : Sbornik nauchnyh trudov Trinadtsatoy Mezhdunarodnoy mezhvuzovskoy nauch.-pract. konf. molodyh uchenyh, doktorantov i aspirantov (14—21 aprelya 2010) [Construction — Formation of Living Environment. Collection of research papers of the 13th International Interuniversity Scientific and Practical Conference of Young Scholars and Post Graduates (April 14—21, 2010)]. MGSU Publ., 2010, pp. 626—629.
  5. Gamayunov V.N., Filin Yu.N. Proektivografiya konfiguratsii Dezarga [Projection Graphics of Dezarga Configuration]. Formoobrazovanie v stroitel’stve [Shape Formation in Construction]. Collected Works. Moscow, MISI Publ., 1987, pp. 105—109.
  6. Filin Yu.N. Arkhikub-konstruktor proektivografii komponentnykh struktur modeli Izokuba [Archicube-Constructor of the Projective Graphics of the Structural Component Isocube Model]. Fundamental’nye nauki v sovremennom stroitel’stve. Sbornik nauchnyh trudov sed’moy Vserossiyskoy nauch.-pract. i uchebno-metod. konf., posvyashch. pyatiletiyu obrazovaniya IFO MGSU (31 marta 2010) [Fundamental Sciences in Modern Construction. Collection of research papers of the 7th All-Russia Scientific and Practical, Educational and Methodological Conference (March 31, 2010)]. MGSU Publ., 2010, pp. 88—92.
  7. Veselov V.I., Georgievskiy O.V., Filin Yu.N. Informativnoe postroenie formografiki geometricheskoy modeli Kvadroizokuba [Informative Construction of Form Graphics of the Geometric Model of Quadroisocube]. Collected Works of the Faculty of Engineering and Economics, edited by Kolokov V.A. Moscow, Rossel’khoz Publ., 2012, no. 7, pp. 217—227.
  8. Moskvin Ì.À., Filin A.Yu., Filin Yu.N. Raskrytie fenomena geometricheskoy komponentnosti v arkhitekturnom prilozhenii-prezentatsii Arkhikub-konstruktora «Kvadroizokub». [Disclosure of Phenomenon of Geometrical Component Structure in Architectural Application-Presentation of Archicube-Constructor «Quadroisocube»]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2010, no. 2, pp. 85—89.
  9. Filin Yu.N., Moskvin Ì.À. Izokub — anti i Giperkuby [Isocube — Anti- and Hypercubes]. Nauchno-tekhnicheskoe tvorchestvo molodyozhi — put’ k obshchestvu, osnovannomu na znaniyakh. Sb. nauch. dokladov nauch.-pract. konf. MGSU. [Youth Creativity in Science and Engineering is a Way to Knowledge-Enabled Society]. Collected Works of Scientific and Practical Conference. MGSU Publ., 2007, pp. 115—116.
  10. Gordevskiy D.Z., Leybin A.S. Populyarnoe vvedenie v mnogomernuyu geometriyu [Ðopular Introduction to Multidimensional Geometry]. Kharkov, Khar’kovskiy Gosudarstvennyy Universitet Publ., 1964, pp. 191.
  11. J. Zeitoun. The Organization of Internal Structure of Designed Architectural Systems. Trames planes. Dunod, Paris, 1977.

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TRANSFORMATION OF PARTICULAR RULED SURFACES INTO NON-RULEDSURFACES OF HIGHER ORDERS

Vestnik MGSU 8/2013
  • Teplyakov Aleksandr Avramovich - Moscow State University of Civil Engineering (MGSU) Associate Professor, Department of Descriptive Geometry and Graphics, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Vavanov Dmitriy Alekseevich - Moscow State University of Civil Engineering (MGSU) Senior Lecturer, Department of Descriptive Geometry and Graphics, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 164-167

In the present-day civil engineering, non-ruled surfaces of higher orders, designed in various ways, are applied to design median surfaces of building envelopes. Let's consider the process of drawing a continuous framework of non-ruled surfaces consisting of the 4th order curves, using the method of transformation of ruled surfaces. The authors consider the construction of a framework, which constitutes non-ruled surfaces of the 4th order and conversion of the shape of the ruled surfaces. These surfaces are constructed through transformation of the two plane fields. By transforming the constituents of the cylindroid using this method, a non-ruled surface of the 8n order can be obtained and split into the two surfaces of the 4n order. The same method can be applied to transform a conoid. The above method of construction of the two plane fields may be used to transform the constituents of non-ruled surfaces, such as n-order curves, into 4n form median surfaces of high order enclosing structures.

DOI: 10.22227/1997-0935.2013.8.164-167

References
  1. Peklich V.A. Mnimaya nachertatel'naya geometriya [Imaginary Descriptive Geometry]. Moscow, 2007, 14 p.
  2. Hunt B. The Geometry of Some Special Arithmetic Quotiens. New York, Springer-Verlag, 1996, 97 p.
  3. Gil'bert D., Kon-Fossen S. Naglyadnaya geometriya [Visual Geometry]. Moscow, 2010, 78 p.
  4. Buzeman G., Kelli P. Proektivnaya geometriya i proektivnye metriki [Projective Geometry and Projective Metrics]. Moscow, 2010, 36 p.
  5. Glagolev N.A. Proektivnaya geometriya [Projective Geometry]. Moscow, 1963, 114 p.
  6. Artobolevskiy I.I. Teoriya mekhanizmov i mashin [Theory of Mechanisms and Machines]. Moscow, 2012, 96 p.
  7. Efanov A.M., Kovalevskiy V.P. Teoriya mekhanizmov i mashin [Theory of Mechanisms and Machines]. Orenburg, OGU Publ., 2004, 152 p.
  8. Artobolevskiy I.I. Mekhanizmy v sovremennoy tekhnike [Mechanisms in Modern Engineering]. Moscow, Oniks Publ., 2012, 149 p.
  9. Znamenskaya O.V., Rabotin V.V. Differentsial'naya geometriya i topologiya [Differential Geometry and Topology]. Krasnoyarsk, 2007, 121 p.
  10. Choe J., Ghomi M., Ritore M. Total Positive Curvature of Hypersurfaces with Convex Boundary. J. Differential Geom. 2006, 131 p.

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Using topological transformations of the sphereto design surfaces having two families of light lines

Vestnik MGSU 9/2013
  • Teplyakov Aleksandr Avramovich - Moscow State University of Civil Engineering (MGSU) Associate Professor, Department of Descriptive Geometry and Graphics, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Vavanov Dmitriy Alekseevich - Moscow State University of Civil Engineering (MGSU) Senior Lecturer, Department of Descriptive Geometry and Graphics, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 149-152

He authors discuss construction of surfaces having two families of light lines using topological transformations of the sphere. The light framework of surfaces, meeting esthetic requirements, is designed in various ways, which can be reduced to the design of a framework of proportional and congruent curves. Topological transformation of the sphere into a surface of the same topological class is considered as a method for design of continuous surfaces having two families of light lines. Transformation of points of the constructed surface is performed together with the space of three mutually perpendicular beam planes, as well as beams of radial planes. This method, employed for the construction of the frame surface and light lines, may be used to generate aesthetically attractive surfaces. The shape of the contour surface can be varied within certain limits, although it maintains its pre-set parameters.

DOI: 10.22227/1997-0935.2013.9.149-152

References
  1. Polezhaev Yu.O., Borisova A.Yu. Lineynye variatsii modelirovaniya svoystv elliptichnosti [Modeling the Properties of Ellipticity: Linear Variations]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2012, no. 8, pp. 34—38.
  2. Gil'bert D. Osnovaniya geometrii [Fundamentals of Geometry]. Available at: http://ilib.mccme.ru/djvu/geometry/osn_geom.htm. Date of access: 2.11.2012.
  3. Alexander S., Ghomi M. The Convex Hull Property and Topology of Hypersurfaces with Nonnegative Curvature. Adv. Math. 2003, p. 327.
  4. Gil'bert D., Kon-Fossen S. Naglyadnaya geometriya [Visual Geometry]. Moscow, 2010, p. 102.
  5. Peklich V.A. Mnimaya nachertatel'naya geometriya [Imaginary Descriptive Geometry]. Moscow, 2007, p. 114.
  6. Alexander S., Ghomi M. The Convex Hull Property of Noncompact Hypersurfaces with Positive Curvature. Amer. J. Math. 2004, p. 216.
  7. Ekholm T. Regular Homotopy and Total Curvature. I. Circle Immersions into Surfaces. Algebr. Geom. Topol. 2006, p. 461. Available at: http://www.maths.tcd.ie/EMIS/journals/AGT/ftp/main/2006/agt-06-16.pdf. Date of access: 26.06.2013.
  8. Ekholm T. Regular Homotopy and Total Curvature. II. Sphere Immersions into 3-space. Algebr. Geom. Topol. 2006, p. 493. Available at: http://www.maths.tcd.ie/EMIS/journals/AGT/ftp/main/2006/agt-06-17.pdf. Date of access: 26.06.2013.
  9. Sobolev N.A. Obshchaya teoriya izobrazheniy [General Theory of Images]. Moscow, 2004, p. 173.
  10. Eliashberg Y., Mishachev N. Introduction to the h-principle. Graduate Studies in Mathematics. Providence, RI. 2002, vol. 48, p. 247.

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FEATURES OF COMPUTER IMPLEMENTATION OF CONSTRUCTING PLANAR DESARGUES CONFIGURATION

Vestnik MGSU 9/2015
  • Ivashchenko Andrey Viktorovich - Union of Designers of Moscow Candidate of Technical Sciences, designer, Union of Designers of Moscow, 90/17 Shosseynaya str., SFGA, room 206, 109383, Moscow, Russian Federation.
  • Znamenskaya Elena Pavlovna - Moscow State University of Civil Engineering (National Research University) (MGSU) Candidate of Technical Sciences, Associate Professor , Department of Descriptive Geometry and Graphics, Moscow State University of Civil Engineering (National Research University) (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation.

Pages 168-177

The authors present the main properties of the planar configuration of Desargues, which open the possibility of its widespread use in architectural design and the design of complex volumes, consisting of a series of simple overlapping forms. However, the computer implementation of Desargues configuration construction is associated with certain difficulties caused by the fact that the monitor can only discretely represent the graphical information. In this article we identified and analyzed the properties of Desargues configuration, the use of which allows overcoming these difficulties and solving the problem of the limited capacity of monitors in the development of complex architectural forms with the help of computer graphics. Along with this, the use of the allocated properties allows predicting complex effects of the perception of architectural forms, for example, the difference of perception of architectural objects near and afar with account for perspective distortion, and they are also the basis for the development of the algorithm of construction sequence during design.

DOI: 10.22227/1997-0935.2015.9.168-177

References
  1. Isaeva M.A., Martynyuk A.N., Matveev O.A., Ptitsyna I.V. Vvedenie v deystvitel’nuyu proektivnuyu geometriyu [Introduction to the Real Projective Geometry]. Moscow, MGOU Publ., 2010, 138 p. (In Russian)
  2. Vol’berg O.A. Osnovnye idei proektivnoy geometrii [Basic Ideas of Projective Geometry]. 4th edition. Moscow, URSS Publ., 2009, 192 p. (Nauku vsem! — Shedevry nauchno-populyarnoy literatury [Science to Everyone! — Masterpieces of Popular Scientific Literature]) (In Russian)
  3. Martynyuk A.N., Matveev O.A., Ptitsyna I.V. Elementy proektivnoy geometrii [Elements of projective geometry]. Moscow, MGOU Publ., 2010, 134 p. (In Russian)
  4. Zacharias M. Vvedenie v proektivnuyu geometriyu [Introduction into Projective Geometry]. Transl. from German. Moscow, URSS Publ., 2010, 90 p. (Fiziko-matematicheskoe nasledie: matematika (geometriya) [Physical and Mathematical Heritage: Mathematics (Geometry)]) (In Russian)
  5. Smirnov S.A. Proektivnaya geometriya [Projective Geometry]. Moscow, Nedra Publ., 1976, 176 p. (In Russian)
  6. Chetverukhin N.F. Proektivnaya geometriya [Projective Geometry]. 8th edition. Moscow, Prosveshchenie Publ., 1969, 368 p. (In Russian)
  7. Glagolev N.A. Proektivnaya geometriya [Projective Geometry]. 2nd edition, revised. Moscow, Vysshaya shkola Publ., 1963, 343 p. (In Russian)
  8. Gorshkova L.S., Pan’zhenskiy V.N., Marina E.V. Proektivnaya geometriya [Projective Geometry]. Moscow, URSS Publ., 2007, 168 p. (In Russian)
  9. Hartshorne R. Foundations of Projective Geometry. Ishi Press, 2009, 190 p.
  10. Busemann H., Kelly P.J. Projective Geometry and Projective Metrics. 2005, Dover Publications, 352 p.
  11. Baer R. Linear Algebra and Projective Geometry. 2005, Dover Publications, 336 p.
  12. Berger M. Geometriya : v 2-kh tomakh [Geometry : in 2 Volumes]. Transl. from French. Moscow, Mir Publ., 1984, vol. 1, 560 s. ; T. 2. 368 s. (In Russian)
  13. Hilbert D., Cohn-Vossen S. Anschauliche Geometrie. Springer; Auflage: 2. Aufl. 1996, 364 p.
  14. Young. J.W., Oswald V. Projective geometry. Boston Ginn, 1918, 370 p.
  15. Skiena S. Algoritmy. The Algorithm Design Manual. Springer; 2nd ed. 2008 edition, 730 p.
  16. Faux I.D., Pratt M.J. Computational Geometry for Design and Manufacture. Chichester, West Sussex, John Willey & sons, 1979, 331 p.
  17. Preparata F.P., Shamos M. Computational Geometry. An Introduction. 1985, Springer-Verlag New York, 398 p. DOI: http://dx.doi.org/ 10.1007/978-1-4612-1098-6.
  18. Ivashchenko A.V., Znamenskaya E.P. Konfiguratsiya Dezarga v arkhitekturnom i dizayn-proektirovanii [Configuration of Desargue in Architectural and Design Engineering]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2014, no. 9, pp. 154—160. (In Russian)
  19. Gamayunov V.N. Proektivografiya. Geometricheskie osnovy khudozhestvennogo konstruirovaniya dlya aspirantov slushateley FPK i studentov khuzhozhestvenno-graficheskogo fakul’teta [Projectography. Geometric Foundations of Artistic Design for Postgraduate Students of FPK and Students of Artistic-Graphical Department]. Moscow, MGPI im. V.I. Lenina, 1976, 25 p. (In Russian)
  20. Ivashchenko A.V., Kondrat’eva T.M. Proektivograficheskiy analiz mnogogrannikov Dzhonsona [Analysis of Johnson’s Polyhedra Using Projective Geometry Techniques]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2013, no. 5, pp. 226—229. (In Russian)
  21. Ivashchenko A.V., Kondrat’eva T.M. Avtomatizatsiya polucheniya proektivograficheskikh chertezhey tel Dzhonsona [Automatic Receipt of Projective Geometry Drawings of Johnson Bodies]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2014, no. 6, pp. 179—183. (In Russian)

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Geometry graphical variationsof the circular conjugate problems

Vestnik MGSU 7/2015
  • Polezhaev Yuriy Olegovich - Moscow State University of Civil Engineering (MGSU) Associate Professor, Department of Descriptive Geometry and Graphics, member, International Union of Russian Artists, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation.
  • Borisova Anzhelika Yur’evna - Moscow State University of Civil Engineering (MGSU) Candidate of Technical Sciences, Associate Professor, Department of Descriptive Geometry and Graphics, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation.
  • Borisova Viktoriya Aleksandrovna - Moscow State University of Civil Engineering (MGSU) student, Institute of Environmental Engineering and Mechanization, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation.

Pages 137-146

In civil engineering and architectural design the coupling of circular curves are of great importance. There are different requirements for their practical application, including the possibility of approximation of the curves of higher order. The present article contains a brief excursion into the axiomatic description of the properties and concepts uniting the geometric graphics of a circular, a direct and a point into various compositions. One of the main conjunction theorems is presented, which defines the position and properties of orthoelements of pairing and the sequence of mating arcs using symmetry. The content of the theorem is commented in the form of proof by contradiction, in the form of geometric graphical operations that are naturally consistent with the analytical results. The examples are given of the circular conjunctions closed into oval shapes with a slight difference in the algorithms of composition construction. A particular case of the present configuration is a linear model of squaring the circle, the circle when the medial conjunction coincides with the base circle squaring. Here, the rhomb figure is presented as a basic square and the four successively conjugated circles have their centers at the vertices of squaring, their area are equiareals. Then, the straight “tapered” circular number and variations of its geometry graphical construction are analyzed. The summary results of the considered material are as follows. The main qualitative, quantitative, and typical examples of the circular conjunctions allow competently and variably solving certain problems of geometry graphics in the design process of civil engineering, architecture and applied domestic objects, items and personal things.

DOI: 10.22227/1997-0935.2015.7.137-146

References
  1. Volynskov V.E. Prostranstvennoe formoobrazovanie i ego arkhetipy [Space Forming and its Archetypes]. Vestnik Volgogradskogo gosudarstvennogo arkhitekturno-stoitel’nogo universiteta [Proceedings of Volgograd State University of Architecture and Civil Engineering. 2009, no. 13, pp. 124—129. (In Russian)
  2. Krylova O.V., Polezhaev Yu.O., Tel'noy V.I. Deduktivnyy aspekt postroeniya izometricheskikh monoproektsiy [Deductive Aspect of Isometric Monoprojections Creation]. Fundamental'nye nauki v sovremennom stroitel'stve: Sbornik dokladov Shestoy nauchno-prakticheskoy i uchebno-metodicheskoy konferentsii [Fundamental Sciences in the Modern Construction]. Moscow, MGSU Publ., 2008, pp. 163—165. (In Russian)
  3. Pólya G. Mathematical Discovery: On Understanding, Learning and Teaching Problem Solving, 2 volumes, Wiley 1962.
  4. Gilbert de B. Robinson. The Foundations of Geometry. U. of Toronto; Fourth edition, 1946.
  5. Polezhaev Yu.O., Borisova A.Yu., Kondrat’eva T.M. Lineynye puchki v tsirkul’no-ellipticheskikh sootvetstviyakh [Linear Bundles within the Framework of Coincidence of Circle and Ellipse]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2012, no. 6, pp. 62—67. (In Russian)
  6. Stepura E.A., Zontov R.A. Provedenie pryamoy cherez nedostupnuyu tochku [Drawing a straight through a Remote Point]. Sbornik trudov 2-y Vserossiyskoy nauchno-metodicheskoy konferentsii po inzhenernoy geometrii i komp'yuternoy grafike [Collection of Works of the 2nd All-Russian Scientific Conference on Engineering Geometry and Computer Graphics]. Moscow, MITKhT Publ., 2009, pp. 103—110. (In Russian)
  7. Polezhaev Yu.O., Borisova A.Yu. Lineynye variatsii modelirovaniya svoystv elliptichnosti [Modeling the Properties of Ellipticity: Linear Variations]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2012, no. 8, pp. 34—38. (In Russian)
  8. Kon-Fossen S. Gilbert D. Naglyadnaya geometriya [Visual Geometry]. 5th edition, Moscow, Editorial USSR, 2010, 344 p. (In Russian)
  9. Klein F. Neevklidovaya geometriya [Non-Euclidean geometry]. Transl. from German. Moscow, Leningrad, GGTI, 1936, 358 p. (In Russian)
  10. Semple J.G., Kneebone G.T. Algebraic Projective Geometry. Oxford, Oxford University Press, 1952, 405 p.
  11. Coxeter H.S.M. Projective Geometry. New York, Blaisdell Publishing Co, 1964, 162 p.
  12. Fedorov E.S. Nachala ucheniya o figurakh [Bases of the Theory of Figures]. Moscow, EE Media Publ., 2012, 418 p. (In Russian)
  13. Lelon-Ferran Zh. Osnovaniya geometrii [Fundamentals of Geometry]. Transl. from France. Moscow, Mir Publ., 1989, 312 p. (In Russian)
  14. Polezhaev Yu.O., Mitina T.V. K voprosu o metodike resheniya zadach intsidentsii [On the Methodology of Solving Incidence Problems]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2007, no. 1, p. 81. (In Russian)
  15. Vol'berg O.A. Osnovnye idei proektivnoy geometrii [Basic Ideas of Projective Geometry]. 4th edition. Moscow, Editorial URSS Publ., 2009, 192 p. (Nauku vsem — Shedevry nauchno-populyarnoy literatury [Science to Everyone — Masterpieces of Popular Scientific Literature]) (In Russian)
  16. Odesskiy P.D. O teoriyakh prochnosti i effekte vtoroy nagruzki primenitel'no k stal'nym stroitel'nym konstruktsiyam [On Strength Theories of the Effect of the Second Load Applied to the Steel Building Structures]. Promyshlennoe i grazhdanskoe stroitel'stvo [Industrial and Civil Engineering]. 2013, no. 10, pp. 20—24. (In Russian)
  17. Zhilkina T.A. Rol' prostranstvennogo myshleniya v praktike prepodavaniya graficheskikh distsiplin v tekhnicheskikh vuzakh [The Role of Spatial Thinking in the Practice of Teaching Graphic Disciplines in Technical Universities]. Nauka i obrazovanie: problemy i tendentsii : materialy Mezhdunarodnoy nauchno-prakticheskoy konferentsii [Science and Education: Problems and Tendencies : Materials of the International Science and Practice Conference]. Ufa, December 20—21 2013 : in three parts. Ufa, RITs BashGU Publ., 2013, part 2, pp. 142—146. (In Russian)
  18. Znamenskaya E.P., Ruzaev A.M. Geometricheskaya interpretatsiya rezul'tatov poiska optimal'nykh resheniy stroitel'nykh konstruktsiy [Geometric Interpretation of Search for Optimal Solutions for Building Structures]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2010, no. 4, vol. 1, pp. 113—116. (In Russian)
  19. Polezhaev Yu.O., Fatkullina A.A., Borisova A.Yu. Geometricheskie modeli sopryazheniy kvadrik na fragmentakh arkhitekturnykh ob”ektov [Geometric Models of Junctions of Quadrics in Fragments of Architectural Pieces]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2012, no. 9, pp. 18—23. (In Russian)
  20. Martynyuk A.N., Matveev O.A., Ptitsyna I.V. Elementy proektivnoy geometrii [Projective Geometry Elements]. Moscow, MGOU Publ., 2010, 134 p. (In Russian)
  21. Zacharias M. Vvedenie v proektivnuyu geometriyu [Introduction into Projective Geometry]. Transl. from German. Moscow, LIBROKOM Publ., 2010, 90 p. (Fiziko-matematicheskoe nasledie: matematika (geometriya) [Physical and Mathematical Heritage: Mathematics (Geometry)]. (In Russian)
  22. Polezhaev Yu.O., Donskaya O.V. Osobennosti vzaimosvyazey inzhenerno-tekhnicheskogo i khudozhestvennogo risunka. K voprosu o vozrozhdenii akademicheskikh traditsiy [Interaction Features of Engineering Technical and Artistic Drawing. To the Question of Academical Tradition Revival]. Dekorativnoe iskusstvo i predmetno-prostranstvennaya sreda. Vestnik MGKhPA [Decorative Art and Environment. Gerald of the Moscow State Academy of Applied Art and Design named after Sergei Stroganov]. 2012, no. 2-2, pp. 247—252. (In Russian)
  23. Georgievskiy O.V. Khudozhestvenno-graficheskoe oformlenie arkhitekturno-stroitel'nykh chertezhey [Art and Graphic Design of Architectural Drawings]. Moscow, Arkhitektura-S Publ., 2004, 79 p. (In Russian)
  24. Gusakova I.M. Rol' tonal'nogo risunka na poiskovom etape raboty nad dekorativnoy kompozitsiey po distsipline «Materialovedenie, tekhnologiya i proizvodstvennoe obuchenie» [The Role of the Tonal Drawing on the Exploratory Phase of the Decorative Composition on the Subject “Materials Science, Technology and Vocational Training”]. Prepodavatel' XXI vek [A teacher of the 21st Century]. 2014, no. 1, part 1, pp. 170—175. (In Russian)

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Automatic receipt of projective geometry drawings of Johnson bodies

Vestnik MGSU 6/2014
  • 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 (National Research University) (MGSU) Candidate of Technical Sciences, Associate Professor, chair, Department of Descriptive Geometry and Graphics, Moscow State University of Civil Engineering (National Research University) (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 179-183

The article analyzes the possibilities of polyhedral structures’ formation basing on the automated construction of orthographic drawings (trace diagrams) derived from Johnson bodies. Projective Graphical method makes it possible to simulate the new multi-faceted forms with the help of the trace diagrams selected as a basis of a polyhedron. The computer program developed for this aim allows receiving both trace diagrams and diverse visual images of newly created polygonal shapes. Due to the large number of possible solutions it is proposed to use trace diagrams themselves (based on their degree of symmetry) as a tool to assess the feasibility of using this or that Johnson body as a basis for further shaping.

DOI: 10.22227/1997-0935.2014.6.179-183

References
  1. Johnson N.W. Convex Polyhedra with Regular Faces. Can. J. Math. 1966, vol. 18, no. 1, pp. 169—200. DOI: http://dx.doi.org/10.4153/CJM-1966-021-8.
  2. Gurin A.M. K istorii izucheniya vypuklykh mnogogrannikov s pravil'nymi granyami. Sibirskie elektronnye matematicheskie izvestiya [On the Studying History of Convex Polyhedra with Regular Faces]. 2010, no. 7, pp. A.5—A.23. Available at: http://semr.math.nsc.ru/v7/a5-23.pdf. Date of access: 29.11.13
  3. Wenninger M. Polyhedron Models. Cambridge University Press, 1974.
  4. Dutch Steven. Polyhedra with Regular Polygon Faces. Johnson Polyhedra. Available at: http://www.uwgb.edu/dutchs/symmetry/johnsonp.htm. Date of access: 18.01.2014.
  5. Zalgaller V.A. Vypuklye mnogogranniki s pravil'nymi granyami [Convex Polyhedra with Regular faces]. Records of Scientific Workshop. LOMI, 2, Nauka Publ., Moscow-Leningrad, 1967.
  6. Sutton Daud. Platonic & Archimedean Solids. The Geometry of Space. NY, Walker & Company, 2002, 64 p.
  7. Ivashchenko A.V., Kondrat'eva T.M. Proektivograficheskie chertezhi mnogokomponentnykh sistem mnogogrannikov [Shape Generation by Means of a New Method of Orthographic Representation (“Proektivografiya”): Drawings of Multi-Component Polyhedra]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2012, no. 6, pp. 155—160.
  8. Ivashchenko A.V., Kondrat'eva T.M. Proektivograficheskiy analiz mnogogrannikov Dzhonsona [Analysis of Johnson’s Polyhedra Using Projective Geometry Techniques]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2013, no. 5, pp. 226—229.
  9. Gamayunov V.N. Proektivografiya [Projective Geometry]. Moscow, MGPI Publ., 1976, 25 p.
  10. Kalinicheva M.M., Zherdyaev E.V., Novikov A.I. Nauchnaya shkola ergodizayna, VNIITE: predposylki, istoki, tendentsiya stanovleniya. Monografiya. [Scientific School of Energy Design, All-Russian Research Institute of Technical Aesthetics: Background, Origins, Establishment Tendency]. Moscow, VNIITE Publ., Orenburg, IPK GOU OGU Publ., 2009, 368 p.
  11. Sobolev N.A. Obshchaya teoriya izobrazheniy [General Theory of Image] Moscow, Arkhitektura-S Publ., 2004, pp. 489—491.
  12. Ivashchenko A.V. Modeli predstavleniya elementov sistemy proektivograficheskikh epyur i algoritm ikh opredeleniya [Representation Models of the System Elements of Project Geometry Diagrams and their Definition Algorithm]. Molodye golosa: sbornik nauchnoissledovatel’skikh rabot aspirantov i soiskateley [Young Voices: Collection of Scientific Works of Postgraduate Students and Doctoral Candidates]. Moscow, MGOPU Publ., 2000, no. 2.
  13. Nikulin E.A. Komp'yuternaya geometriya i algoritmy mashinnoy grafiki. [Geometry and Algorithms for Computer Graphics]. Saint Petersburg, BKhV-Peterburg Publ., 2003.
  14. Korn G., Korn T. Spravochnik po matematike [Handbook of Mathematics]. Moscow, Nauka Publ., 1970.
  15. Gamayunov V.N., Filin Yu.N. Proektivografiya konfiguratsii Dezarga [Projective Geometry of Desargues Configuration]. Formoobrazovanie v stroitel'stve i arkhitekture: sbornik nauchnykh trudov MISI [Shaping in Construction and Architecture: Collection of Scientific Works of Moscow Institute of Construction and Engineering]. Moscow, MISI Publ., 1986, Part I «Proektivografiya» [Projective Geometry], pp. 105—109.
  16. Gol'tseva R.I. Geometriya mnogogrannykh n-epyurnykh sistem [Polyhedral Geometry of n-Curve Systems]. Formoobrazovanie v stroitel'stve i arkhitekture: sbornik nauchnykh trudov [Shaping in Construction and Architecture: Collection of Scientific Works]. Moscow, MISI Publ., 1986, pp. 175—223.

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Projective configurations in projectivegeometrical drawings

Vestnik MGSU 5/2015
  • 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 (National Research University) (MGSU) Candidate of Technical Sciences, Associate Professor, chair, Department of Descriptive Geometry and Graphics, Moscow State University of Civil Engineering (National Research University) (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 141-147

The article focuses on the optimization of the earlier discussed computer method of obtaining new forms of polyhedra based on projective geometry drawings (trace Diagrams).While working on getting new multifaceted forms by projective geometry methods based on the well-known models of polyhedra on the first stage of the work it is required to calculate the parameters of projective geometry drawings, and then to build them. This is an often used apparatus of analytical geometry. According to it, at first the parameters of the polyhedron (core system of planes) are calculated, then we obtain the equation of the plane of the face of the polyhedron, and finally we obtain the equations of lines the next plane faces on the selected curve plane. At each stage of application such a method requires the use of the algorithms of floating point arithmetic, on the one hand, leads to some loss of accuracy of the results and, on the other hand, the large amount of computer time to perform these operations in comparison with integer arithmetic operations.The proposed method is based on the laws existing between the lines that make up the drawing - the known configurations of projective geometry (complete quadrilaterals, configuration of Desargues, Pappus et al.).The authors discussed in detail the analysis procedure of projective geometry drawing and the presence of full quadrilaterals, Desargues and Pappus configurations in it.Since the composition of these configurations is invariant with respect to projective change of the original nucleus, knowing them, you can avoid the calculations when solving the equations for finding direct projective geometry drawing analytically, getting them on the basis of belonging to a particular configuration. So you can get a definite advantage in accuracy of the results, and in the cost of computer time. Finding these basic configurations significantly enriches the set of methods and the use of projective geometry drawings.

DOI: 10.22227/1997-0935.2015.5.141-147

References
  1. Gamayunov V.N. Proektivografiya. Geometricheskie osnovy khudozhestvennogo konstruirovaniya dlya aspirantov slushateley FPK i studentov khuzhozhestvenno-graficheskogo fakul’teta [Projectography. Geometric Foundations of Artistic Design for Postgraduate Students of FPK and Students of Artistic-Graphical Department]. Moscow, MGPI Publ., 1976, 25 p. (In Russian)
  2. Gol’tseva R.I. Geometriya mnogogrannykh n-epyurnykh sistem [Polyhedral Geometry of n-Curve Systems]. Formoobrazovanie v stroitel’stve i arkhitekture: sbornik nauchnykh trudov [Shaping in Construction and Architecture: Collection of Scientific Works]. Moscow, MISI Publ., 1986, pp. 175—223. (In Russian)
  3. Sobolev N.A. Obshchaya teoriya izobrazheniy [General Theory of Image] Moscow, Arkhitektura-S Publ., 2004, pp. 489—491. (In Russian)
  4. Kalinicheva M.M., Zherdyaev E.V., Novikov A.I. Nauchnaya shkola ergodizayna VNIITE: predposylki, istoki, tendentsiya stanovleniya : monografiya [Scientific School of Ergodesign All-Russian Research Institute of Technical Aesthetics: Prerequisites, Origins, Generation Tendency : Monograph]. Moscow, VNIITE Publ., Orenburg, IPK GOU OGU Publ., 2009, 368 p. (In Russian)
  5. Vennidzher M. Modeli mnogogrannikov [Models of Polyhedra]. Moscow, Mir Publ.,1974, 236 p. (In Russian)
  6. Zalgaller V.A. Vypuklye mnogogranniki s pravil’nymi granyami [Convex Polyhedra with Regular Faces]. Zapiski nauchnykh seminarov LOMI [Records of Scientific Workshops of LOMI]. Moscow-Leningrad, Nauka Publ., 1967, vol. 2, pp. 5—221. (In Russian)
  7. Dutch S. Polihedra with Regular Polygon Faces. Available at: http://www.uwgb.edu/DUTCHS/symmetry/johnsonp.htm. Date of access: 18.11.2014.
  8. Sutton D. Platonic & Archimedean Solids: the Geometry of Space/written and Illustrated. New York, Walker & Company, 2002, 64 p.
  9. Gurin A.M. K istorii izucheniya vypuklykh mnogogrannikov s pravil’nymi granyami [Background of Study of Convex Polyhedra with Regular Faces]. Sibirskie elektronnye matematicheskie izvestiya [Siberian Electronic News of Mathematics]. 2010, vol. 7, pp. 5—23. (In Russian)
  10. Alsina C. Mir matematiki : v 40 tomakh. Tom 23. Tysyacha graney geometricheskoy krasoty. Mnogogranniki [The World of Mathematics : in 40 Volumes. Vol. 23. Thousand Faces of Geometrical Beauty. Polyhedrons]. Translated from Spanish]. Moscow, De Agostini Publ., 2014, 144 p. (In Russian)
  11. Ivashchenko A.V. Modeli predstavleniya elementov sistemy proektivograficheskikh epyur i algoritm ikh opredeleniya [Representation Models of the System Elements of Project Geometry Diagrams and their Definition Algorithm]. Molodye golosa: sbornik nauchno-issledovatel’skikh rabot aspirantov i soiskateley [Young Voices: Collection of Scientific Works of Postgraduate Students and Doctoral Candidates]. Moscow, MGOPU Publ., 2000, no. 2, pp. 12—19. (In Russian)
  12. Ivashchenko A.V., Kondrat’eva T.M. Proektivograficheskie chertezhi mnogokomponentnykh sistem mnogogrannikov [Shape Generation by Means of a New Method of Orthographic Representation (“Proektivografiya”): Drawings of Multi-Component Polyhedra]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2012, no. 6, pp. 155—160. (In Russian)
  13. Ivashchenko A.V., Kondrat’eva T.M. Proektivograficheskiy analiz mnogogrannikov Dzhonsona [Analysis of Johnson’s Polyhedra Using Projective Geometry Techniques]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2013, no. 5, pp. 226—229. (In Russian)
  14. Ivashchenko A.V., Kondrat’eva T.M. Avtomatizatsiya polucheniya proektivograficheskikh chertezhey tel Dzhonsona [Automatic Receipt of Projective Geometry Drawings of Johnson Bodies]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2014, no. 6, pp. 179—183. (In Russian)
  15. Ivashchenko A.V., Znamenskaya E.P. Konfiguratsiya Dezarga v arkhitekturnom i dizayn-proektirovanii [Configuration of Desargue in Architectural and Design Engineering]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2014, no. 9, pp. 154—160. (In Russian)
  16. Nikulin E.A. Komp’yuternaya geometriya i algoritmy mashinnoy grafiki [Geometry and Algorithms for Computer Graphics]. Saint Petersburg, BKhV-Peterburg Publ., 2003, 560 p. (In Russian)
  17. Chetverukhin N.F. Vysshaya geometriya [Higher Geometry]. Moscow, Uchpedgiz Publ., 1939, 144 p. (In Russian)
  18. Young J.W., Veblen O. Projective Geometry. University of Michigan, 1910, 360 p.
  19. Hartshorne R. Foundations of Projective Geometry. Ishi Press, 2009, 190 p.
  20. Filin Yu.N., Veselov V.I., Georgievskiy O.V. Innovatsionnoe preobrazovanie formografiki kubicheskikh modeley v svete resheniya problem razvitiya ekologicheski znachimykh form [Innovative Transformation of Form Graphics of Cubic Models in Frames of Solving the Problems of Ecologically Essential Forms Development]. Innovatsii: perspektivy, problemy, dostizheniya : sbornik trudov Mezhdunarodnoy nauchno-prakticheskoy konferentsii (Moskva 27 maya 2013 g.) [Innovations: Prospects, Problems, Achievements : Collection of Works of International Science and Practice Conference (Moscow, May 27, 2013)]. Moscow, REU im. G.V. Plekhanova Publ., 2013, pp. 277— 282. (In Russian)
  21. Kartavtsev I.S., Veselov V.I., Georgievskiy O.V., Filin Yu.N. Arkhikub-izokonstruktor transformatsii formografiki [ArchicubeIsoconstructor of Form Graphics Transformation]. Ekonomicheski effektivnye i ekologicheski chistye innovatsionnye tekhnologii : sbornik trudov Mezhdunarodnoy nauchno-prakticheskoy konferentsii [Economically Efficient and Environmentally Friendly Innovative Technologies : Collection of Works of International Science and Practice Conference]. Moscow, REU im. G.V. Plekhanova Publ., 2013, pp. 139—143. (In Russian)

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AUTOCAD IN THE OPERATIONAL MANAGEMENT OF THE CONSTRUCTION SITE

Vestnik MGSU 4/2016
  • Tsareva Marina Vladimirovna - Moscow State University of Civil Engineering (National Research University) (MGSU) Associate Professor, Department of Descriptive Geometry and Graphics, Moscow State University of Civil Engineering (National Research University) (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 140-147

Operational management of the construction is usually based on information analysis systems, which are aimed at the monitoring of working schedule and volumes as consistent with predicated schedules. The result of such systems’ operation is traditional information graphics (diagrams, charts, etc.), which provides idea on the current state of the construction site and deviations from the planned settings. The author considers the visualization technology of construction of objects using an image of the situation on the AutoCAD drawings, converted into an interactive format. The article focuses on imperfections of the existing technologies of information support of the managers. The creation of unified IT platform is offered on the basis of CAD for creating an integrated information storage and visualization of the environment using electronic drawings and diagrams. Using interactive methods it is possible to illustrate the condition of almost any part of the construction project using these drawings and diagrams. E-drawings contain the basic information resources - estimates, plans, sections, specifications, technology, construction, etc. necessary for the calculation of indicators. The author proved that implementation of visualization is most efficient in case of electronic drawings in 3D format.

DOI: 10.22227/1997-0935.2016.4.140-147

References
  1. Tsareva M.V. Situatsionnaya sistema dlya investitsionnogo proekta [Situational system for investment project]. Ob”edinennyy nauchnyy zhurnal. Ekonomika i finansy [Economics and Finance — Scientific Journal]. 2004, no. 27. (In Russian)
  2. Codd E.F., Codd S.B., Salley C.T. Providing OLAP (On-Line Analytical Processing) to User-Analysts : An IT mandate. Technical report. 1993. Available at: http://www.minet.uni-jena.de/dbis/lehre/ss2005/sem_dwh/lit/Cod93.pdf.
  3. Bazhin I.I. Informatsionnye sistemy menedzhmenta [Information Management Systems]. Moscow, GU VShE Publ., 2000, 687 p. (In Russian)
  4. Bowman W.J. Graphic Communication. 1968, John Wiley & Sons Inc, 222 p.
  5. Voronin V.A. Formirovanie integrirovannykh sub''ektov khozyaystvovaniya v stroitel’stve s primeneniem metoda kognitivnogo modelirovaniya [Formation of Integrated Business Entities in the Construction Using the Method of Cognitive Modeling]. Vestnik Universiteta (GUU) [University Bulletin (State University of Management)]. 2010, no. 7, pp. 102—110. (In Russian)
  6. Grachev V., Samodelov V. Primenenie sovremennykh tekhnologiy upravleniya v sovershenstvovanii deyatel’nosti predpriyatiy [The Use of Modern Technologies to Improve Management of Enterprises]. Finansovaya gazeta [Financial Newspaper]. 2007, no. 31. (In Russian)
  7. Zotov V.A. Problema razrabotki kognitivnykh sredstv vizualizatsii ekonomicheskoy informatsii v dinamike [Development Problem of Cognitive Visualization Tools of Economic Information in the Dynamics]. Informatsionnye tekhnologii v XXI veke : materialy nauchno-prakticheskoy konferentsii k 100-letiyu REA [Information Technologies on the 21st Century : Materials of Science and Practice Conference to 100 Anniversary of PRUE]. Moscow, Izdatel’stvo Rossiyskoy ekonomicheskoy akademii Publ., 2007. (In Russian)
  8. Kaplan R.S., Norton D.P. Strategy Maps: Converting Intangible Assets into Tangible Outcomes. Harvard Business Review Press, 1 edition, 2004, 454 p.
  9. Campbell A., Sommers K.L. Strategic Synergy (Management Readers). Butterworth-Heinemann, 1992, 240 p.
  10. Mescon M.H., Albert M., Khedouri F. Management: Individual and Organizational Effectiveness. Harpercollins College Div; 2 Sub edition, 1985, 756 p.
  11. Ponomareva N.I. Osobennosti formirovaniya uchetno-analiticheskoy sistemy v stroitel’nykh organizatsiyakh [Peculiarities of Formation of Accounting and Analytical Systems in Construction Companies]. Uspekhi sovremennogo estestvoznaniya [Success of Modern Natural Science]. 2008, no. 7, pp. 72—75. (In Russian)
  12. Trakhtengerts E.A. Komp’yuternaya podderzhka peregovorov pri soglasovanii upravlencheskikh resheniy [Computer Support of Negotiations When Discussing Administrative Decisions]. Moscow, Sinteg Publ., 2003, 272 p. (Seriya «Sistemy i problemy upravleniya» [Series: Systems and Problems of Management]) (In Russian)
  13. Walsh C. Key Management Ratios. T Press, 4 edition, 2009, 408 p.
  14. Edel’steyn G. Intellektual’nye sredstva analiza, interpretatsii i predstavleniya dannykh v informatsionnykh khranilishchakh [Intelligent Analysis, Interpretation and Presentation of Data in the Information Storage]. ComputerWeek-Moscow. 1996, no. 16, pp. 32—33. (In Russian)
  15. Tel’noy V.I., Tsareva M.V. Ispol’zovanie informatsionnykh tekhnologiy pri prepodavanii komp’yuternoy grafiki [Use of Information Technologies in Teaching Computer Graphics]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2012, no. 6, pp. 161—165. (In Russian)
  16. Bachurina S.S., Resin V.I., Traynev V.A. Strategiya korporativnogo menedzhmenta v gradostroitel’stve [The Strategy of Corporate Management in Urban Planning]. Moscow, Dashkov i Ko Publ., 2010, 512 p. (In Russian)
  17. Drucker P.F. Management Challenges for the 21st Century. HarperBusiness, 1st edition, 224 p.
  18. Tel’noy V.I., Tsareva M.V., Rychkova A.V. Razrabotka trekhmernykh modeley pri provedenii zanyatiy po komp’yuternoy grafike [Development of Three-Dimensional Models in Conducting Classes in Computer Graphics]. Integratsiya, partnerstvo i innovatsii v stroitel’noy nauke i obrazovanii : sbornik materialov Mezhdunarodnoy nauchnoy konferentsii (12—13 noyabrya 2014 g., Moskva) [Integration, Partnership and Innovations in Construction Science and Education : Collection of the Materials of the International Scientific Conference (November 12—13, 2014, Moscow)]. Moscow, MGSU Publ., 2015, pp. 332—335. (In Russian)

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SEQUENCE VARIANTS IN THE CONSTRUCTION OF THE CONFIGURATION OF DESARGUES

Vestnik MGSU 9/2016
  • 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 .
  • Znamenskaya Elena Pavlovna - Moscow State University of Civil Engineering (National Research University) (MGSU) Candidate of Technical Sciences, Associate Professor, Department of Descriptive Geometry and Graphics, Moscow State University of Civil Engineering (National Research University) (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 130-139

The article presents the results of the analysis to assess the multi-variant approaches to constructing the Desargues configuration which is the fundamental to projective geometry and projective graphics. From the practical point it is the basis for the theory of perspective and is widely used to solve various tasks, such as constructing shadows in perspective, a direct, incidentally out of the rich within the drawing of the vanishing point, etc. The authors present the algorithm of the possible variants of construction of the Desargues configuration using computer technologies. The computer implementation of theoretical provisions of separate aspects of projective geometry and graphics has previously been considered as applied to Johnson polyhedrons. As any other figure the configuration of Desargues may be constructed by different methods. The authors consider the choice of points and directs included into the configuration and different interpretations of the relations of the point. The considered algorithm of the possible variants of the Desargues configuration construction will allow widely using the configuration in design of complex architectural and design volumes, consisting of a series of simple overlapping forms, by means of modern computer technology.

DOI: 10.22227/1997-0935.2016.9.130-139

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On the use of polar coordinate system in the projective graphic drawings

Vestnik MGSU 11/2016
  • 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 (National Research University) (MGSU) Candidate of Technical Sciences, Associate Professor, chair, Department of Descriptive Geometry and Graphics, Moscow State University of Civil Engineering (National Research University) (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 124-131

Projective graphics is a polyhedra simulation method, which is based on the use of trace diagrams of initial polyhedron. Previously developed computer software allows using Cartesian coordinates. In some cases it is advisable to use polar coordinate system for description of projective graphics drawings. Using the example of icosahedron the authors analyzed the advantages of using projective graphics drawings in the polar coordinate system. The transition to the polar coordinate system is a tool that allows using certain patterns of projective graphics drawings in the process of calculation. When using polar coordinate system the search of Polar correspondence for the directs is simplified. In order to analyze the two lines in the polar coordinate system it is enough to compare the corresponding coefficients of the equations of these lines. The authors consider a diagram of the icosahedron in polar coordinates, and a corresponding fragment of calculation program in the Mathematica system. Some examples of forming based on icosahedrons are offered. Optimization of computer programs using polar coordinate system will simplifies the calculations of projective graphics drawings, accelerates the process of constructing three-dimensional models, which expand the possibilities of selecting original solutions. Finally, the authors conclude that it is appropriate to use the polar coordinate system only in the construction of projective graphics diagrams of the planes system having rich symmetry. All Platonic and Archimedean solids, Catalan solid possess this property.

DOI: 10.22227/1997-0935.2016.11.124-131

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VARIATIONS OF ALGORITHMIZATIONS OF GEOMETROGRAPHIC MODELS OF TRIMETRIC PARALLEL MONOPROPTIONS

Vestnik MGSU 4/2017 Volume 12
  • Polezhaev Yuri Olegovich - Moscow State University of Civil Engineering (National Research University) (MGSU) Associate Professor, Associate Professor of Department of Descriptive Geometry and Graphics, Member of the International Union of Russian Artists, Moscow State University of Civil Engineering (National Research University) (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation.
  • Borisova Anzhelika Yurievna - Moscow State University of Civil Engineering (National Research University) (MGSU) Candidate of Technical Sciences, Associate Professor, Associate Professor of Department of Descriptive Geometry and Graphics, Moscow State University of Civil Engineering (National Research University) (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation.

Pages 464-469

At all stages of the construction design, from conceptual searches to approving the project documentation development, images are important as monoprojections on which the construction basic forms are effectively and expressively shown. Studying the construction of such monoprojections is began even in the first year of higher education, and then they are used to perform term papers and the thesis design. Purpose of study is the choice of the preferred algorithm for solving the problem of constructing monometric projections of trimetric axonometries in the context of the mapping processe computerization, taking into account the form of the object and the conditions for its presentation. In the article, the methodology of the trimetric axonometry monoprojection formation is considered in conditions of the mapping processe computerization. The methods of the metric object point fixation can be selected under the following conditions: orthogonal coordination in the reference point planes; oblique dependence; mixed, i.e., ortho-oblique-angled coordination; they can also contain intermediate transformations for various simplifications. Problems of constructing trimetric axonometry monoprojections at the mapping processe computerization are considered. Since in such cases the number of parameters of the necessary geometrical transformation increases, it becomes possible to use various algorithms for solving the problem. Based on the undertaken studies, conclusions were drawn on possible transformations for obtaining a trimetric monoprojection model and greatly simplifying the solution of problems in the construction object design.

DOI: 10.22227/1997-0935.2017.4.464-469

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