REPRESENTATION OF ENGINEERING GEOMETRY DEVELOPMENT IN “GEOMETRY AND GRAPHICS” JOURNAL
Rubrics: REVIEWS
Abstract and keywords
Abstract (English):
In the paper "On the Increasing Role of Geometry", published in the electronic "Journal of Natural Science Research" in 2017, it was outspoken a hypothesis that now, at the time of innovative technologies, the importance of geometry is constantly increasing. The significance of geometry is also demonstrated by numerous Ph.D. and doctoral dissertations in the specialty No 05.01.01 - “Engineering Geometry and Computer Graphics”. It can be affirmed that all and everyone dissertations of technical and technological profile contain a geometric component to one degree or another. The "Geometry and Graphics" journal turned 8 (it was founded in June 2012). During this time, on its pages have been published numerous scientific papers, developing namely geometry and its branches: from simplest geometric constructions based on new properties of both lines and surfaces, to imaginary elements. Investigations were conducted in the following areas: “New Directions in Geometry”, “Fractal Geometry”, “Multidimensional Geometry”, “Geometric Constructions”, “Construction and Research of Surfaces”, “Imaginary Geometry”, “Practical Application of Geometry”, “Computer Graphics”, “Descriptive Geometry as Basis of other Branches of Geometry” ,”Geometry of Phase Spaces”. The journal publishes both recognized scientists and candidate for Ph.D. and doctor degrees. The considered array of papers clearly confirms the statement of the majority of authors, published in the journal, about geometry continuous development, which knocks out the ground for skeptics who decided that geometry is the science of the past centuries. As long as objects with shapes and surfaces surround us, geometry will be in demand. This, as they say, is unequivocal.

Keywords:
geometry; science; geometry’s branches; geometry’s problems
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65. Romanova V.A. Vizualizaciya pravil'nyh mnogogrannikov v processe ih postroeniya [Visualization of regular polyhedrons in the process of their construction]. Geometriya i grafika [Geometry and graphics]. 2019, V. 7, I. 1, pp. 55-67. DOI:https://doi.org/10.12737/article_5c91ffd0916d52.90296375. (in Russian)

66. Ryazanov S.A. Geometricheskaya model` proizvodyashhej poverxnosti e`kvivalentnoj rabochej poverxnosti zuboreznogo instrumenta «chervyachnaya freza» [Geometric model of the producing surface of the equivalent working surface of the gear cutting tool "worm cutter"]. Geometriya i grafika [Geometry and graphics]. 2019, V. 7, I 2, pp. 56-64. DOI:https://doi.org/10.12737/article_5d2c24f391d6b6.68532534. (in Russian)

67. Savel'ev Yu.A. Grafika mnimykh chisel [Graphic imaginary numbers]. Geometriya i grafika [Geometry and Graphics]. 2013, V. 1, I. 1, pp. 22-23. DOI:https://doi.org/10.12737/465. (in Russian)

68. Sal'kov N.A. Geometricheskaja sostavljajushhaja tehnicheskih innovacij [Geometric component of technical innovations]. Geometrija i grafika [Geometry and graphics]. 2018, V. 18, I. 2, pp. 85-94. DOI: 10.12737/ article_5b55a-5163fa053.0722109. (in Russian)

69. Sal`kov N.A. Geometricheskoe modelirovanie i nachertatel`naya geometriya [Geometric modeling and descriptive geometry]. Geometriya i grafika [Geometry and graphics]. 2016, V. 4, I. 4, pp. 31-40. DOI:https://doi.org/10.12737/22841. (in Russian)

70. Sal`kov N.A. Grafo-analiticheskoe reshenie nekotory`x chastny`x zadach kvadratichnogo programmirovaniya [Graph-analytical solution of some particular problems of quadratic programming]. Geometriya i grafika [Geometry and graphics]. 2014, V. 2, I. 1, pp. 3-8. DOI:https://doi.org/10.12737/3842. (in Russian)

71. Sal`kov N. A. Kinematicheskoe sootvetstvie vrashhayushhixsya prostranstv [Kinematic correspondence of rotating spaces]. Geometriya i grafika [Geometry and graphics]. 2013, V. 1, I. 1, pp. 4-10. DOI:https://doi.org/10.12737/2074. (in Russian)

72. Sal'kov N.A. Nachertatel'naya geometriya - baza dlya geometrii analiticheskoj [Descriptive Geometry As the Basis for Analytical Geometry]. Geometriya i grafika [Geometry and graphics], 2016, V. 4, I. 1, pp. 44-54. (in Russian). DOI:https://doi.org/10.12737/18057. (in Russian)

73. Sal'kov N.A. Nachertatel'naja geometrija - baza dlja komp'juternoj grafiki [Descriptive geometry-base for computer graphics]. Geometrija i grafika [Geometry and graphics]. 2016. V. 4, I. 2, pp. 37-47. DOI:https://doi.org/10.12737/19832. (in Russian).

74. Sal`kov N.A. Nachertatel`naya geometriya - teoriya izobrazhenij [Descriptive geometry-image theory]. Geometriya i grafika [Geometry and graphics]. 2016, V. 4, I. 4, pp. 41-47. DOI:https://doi.org/10.12737/22842. (in Russian)

75. Sal'kov N.A. Obshchie principy zadaniya linejchatyh poverhnostej. Chast' 1 [General Principles for Formation of Ruled Surfaces. Part 1]. Geometriya i grafika [Geometry and graphics], 2018, V. 6, I. 4, pp. 20-31. (in Russian) DOIhttps://doi.org/10.12737/article_5c-21f4a06dbb74.56415078. (in Russian)

76. Sal'kov N.A. Obshhie principy zadanija linejchatyh poverhnostej. Chast' 2 [General principles for setting linear surfaces. Part 2]. Geometrija i grafika [Geometry and graphics]. 2019, V. 7, I. 1, pp. 13-27. DOI:https://doi.org/10.12737/article_5c9201eb1c5f06.47425839. (in Russian)

77. Sal'kov N.A. Obshhie principy zadanija linejchatyh poverhnostej. Chast' 3 [General principles for setting linear surfaces. Part 3]. Geometrija i grafika [Geometry and graphics]. 2019, V. 7, I. 2, pp. 14-27. DOI:https://doi.org/10.12737/article_5d2c170ab37810.30821713. (in Russian)

78. Sal`kov N.A., Vy`shnepol`skij V.I. O vozrastayushhej roli geometrii [On the increasing role of geometry]. Zhurnal estestvennonauchny`x issledovanij [Journal of Natural Sciences]. 2017, V. 2, I. 2, pp. 53-61. URL: https://naukaru.ru/ru/nauka/article/16413/view. (in Russian)

79. Sal`kov N.A. Parametricheskaya geometriya v geometricheskom modelirovanii [Parametric geometry in geometric modeling]. Geometriya i grafika [Geometry and graphics]. 2014, V. 2, I. 3, pp. 7-13. DOI:https://doi.org/10.12737/6519. (in Russian)

80. Sal'kov N.A. Prilozhenie svojstv ciklidy Dyupena k izobreteniyam [Application of Dupin Cyclide Properties to Inventions]. Geometriya i grafika [Geometry and graphics]. 2017, V. 5, I. 4, pp. 37-43. DOI: 10.12737/ article_5a17fd233418b2.84489740. (in Russian)

81. Sal'kov N.A. Svojstva ciklidy Dyupena i ih primenenie. Chast' 1 [Properties of Dupin cyclides and their application. Part 1]. Geometriya i grafika [Geometry and graphics]. 2015, V. 3, I. 1, pp. 16-28. DOI:https://doi.org/10.12737/10454. (in Russian)

82. Sal'kov N.A. Svojstva ciklidy Dyupena i ih primenenie. Chast' 2 [Properties of Dupin cyclides and their application. Part 2]. Geometriya i grafika [Geometry and graphics]. 2015, V. 3, I. 2, pp. 9-23. DOI:https://doi.org/10.12737/12164. (in Russian)

83. Sal'kov N.A. Svojstva ciklidy Dyupena i ih primenenie. Chast' 3 [Properties of Dupin cyclides and their application. Part 3]. Geometriya i grafika [Geometry and graphics]. 2015, V. 3, I. 4, pp. 3-15. DOI:https://doi.org/10.12737/17345. (in Russian)

84. Sal'kov N.A. Svojstva ciklid Dyupena i ih primenenie. Chast' 4 [Properties of Dupin cyclide and their application. Part 4]. Geometriya i grafika [Geometry and Graphics]. 2016, V. 4, I. 1, pp. 21- 33. DOI:https://doi.org/10.12737/18055. (in Russian)

85. Sal'kov N.A. Sposoby zadaniya ciklid Dyupena [Methods for specifying Dupin cyclide]. Geometriya i grafika [Geometry and graphics]. 2017, V. 5, I. 3, pp. 11-20. DOI: 10.12737/ article_ 59bfa354466be1.50763524. (in Russian)

86. Sal`kov N. A. Formirovanie poverxnostej otkosov nasy`pej i vy`emok [Formation of surfaces of slopes of embankments and recesses]. Geometriya i grafika [Geometry and graphics]. 2016, V. 4, I. 1, pp. 55-63. DOI:https://doi.org/10.12737/18058. (in Russian)

87. Sal'kov N.A. Formirovanie poverhnostej pri kineticheskom otobrazhenii [The formation of surfaces under kinetic display]. Geometrija i grafika [Geometry and graphics]. 2018, V. 6, I. 1, pp. 20-33. DOI:https://doi.org/10.12737/article_5ad094a0380725.32164760. (in Russian)

88. Sal'kov N.A. Formirovanie ciklicheskih poverhnostej v kineticheskoj geometrii [The formation of cyclic surfaces in kinetic geometry]. Geometriya i grafika [Geometry and graphics]. 2017, V. 5, I. 4, pp. 24-36. DOI: 10.12737/ article_5a17fbe3680f52.30844454. (in Russian)

89. Sal`kov N.A. Ciklida Dyupena i krivy`e vtorogo poryadka. Ch. 1. [Dupin's Cyclide and second-order curves. Part 1.]. Geometriya i grafika [Geometry and graphics]. 2016, V. 4, I. 2, pp. 19-28. DOI:https://doi.org/10.12737/19829. (in Russian)

90. Sal'kov N.A. Tsiklida Dyupena i krivyye vtorogo poryadka. Chast' 1 [Cyclid Dupin and curves of the second order]. Geometriya i grafika [Geometry and graphics]. 2016, V. 4, I. 2, pp. 19-28. DOI:https://doi.org/10.12737/19829. (in Russian)

91. Sal'kov N. A. Ellips: kasatel'naya i normal' [Ellipse: tangent and normal]. Geometriya i grafika [Geometry and Graphics]. 2013, V. 1, I. 1, pp. 35-37. DOI:https://doi.org/10.12737/470. (in Russian)

92. Sinicyn S.A., Strebkov D.S., Panchenko V.A. Parketirovanie poverxnosti parabolicheskogo koncentratora solnechnogo teplofoto- e`lektricheskogo modulya po zadanny`m differencial`no-geometricheskim trebovaniyam [Parqueting of the surface of the parabolic concentrator of the solar thermal-electric module according to the specified differential-geometric requirements]. Geometriya i grafika [Geometry and graphics]. 2019, V. 7, I. 3, pp. 15-27. DOI:https://doi.org/10.12737/article_5dce6084f1ac94.09740392. (in Russian)

93. Sposob mexanicheskoj obrabotki. Sal`kov N.A. Avtorskoe svidetel`stvo SU 1590195 A1, 07.09.1990. Zayavka № 4211245 ot 04.01.1987 [The method of machining. Salkov N.A. Copyright certificate SU 1590195 A1, 09/07/1990. Application No. 4211245 dated January 4, 1987]. (in Russian)

94. Umbetov N.S. Konstruirovanie e`kvipotencial`noj poverxnosti [Construction of an equipotential surface]. Geometriya i grafika [Geometry and graphics]. 2013, V. 1, I. 1, pp. 11-14. (in Russian)

95. Xejfecz A.L. Koniki kak secheniya kvadrik ploskost`yu (obobshhennaya teorema Dandelena) [Conics as sections of quadrics by a plane (generalized Dundelen theorem)]. Geometriya i grafika [Geometry and graphics]. 2017, V. 5, I. 2, pp. 45-58. (in Russian)

96. Yurkov V.Y. Formal'noe predstavlenie uslovij incidentnosti v mnogomernyh proektivnyh prostranstvah [Formal Representation of Incidence Conditions in Multidimensional Projective Spaces]. Geometriya i grafika [Geometry and graphics]. 2016, V. 4, I. 4, pp. 3-14. DOI:https://doi.org/10.12737/22838. (in Russian)

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