Pub Date : 2021-06-16DOI: 10.33842/22195203/2021/21/154/163
A. Karaiev, A. Matkovskyi, I. Chyzhykov, S. Sushko
{"title":"GEOMETRIC MODELLING OF BIT SURFACE GUIDELINE OF CHISEL TOOL WORKING BODY","authors":"A. Karaiev, A. Matkovskyi, I. Chyzhykov, S. Sushko","doi":"10.33842/22195203/2021/21/154/163","DOIUrl":"https://doi.org/10.33842/22195203/2021/21/154/163","url":null,"abstract":"","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132615601","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-06-16DOI: 10.33842/22195203/2021/21/164/170
V. Kovbashyn, A. Pik, O. Zakharchuk
{"title":"STUDY OF THE COURSE \"ENGINEERING GRAPHICS AND CAD SYSTEMS\" IN THE WEB CONFERENCE MODE IN THE ATUTOR SYSTEM","authors":"V. Kovbashyn, A. Pik, O. Zakharchuk","doi":"10.33842/22195203/2021/21/164/170","DOIUrl":"https://doi.org/10.33842/22195203/2021/21/164/170","url":null,"abstract":"","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"308 4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132821073","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-06-16DOI: 10.33842/22195203/2021/22/89/95
T. Ladogubets, O. Golova, I. Miroshnichenko, I. Palamar
With each passing day, video games are becoming increasingly popular, creating a description of new creative solutions both in the gameplay and in graphics. Fractals play an important role in solving this problem. They are familiar with many uses: by depicting trees and objects in 3D space, building map landscapes to integrate them into gameplay at a deeper level, such as building basic game concepts where some minor parts of the game are parts of a larger one. but still similar to them in concept. Thus, the need to find new ways to use fractal algorithms to improve the graphical and conceptual level of the game. In this work, an analysis of the possibilities of using fractals for the construction of land maps and the introduction of the process of land sales; generation of complex labyrinths; algorithms for procedural generation of 3D video game mazes based on a cross-platform game engine; organization of interaction of graphics with the game with the help of fractals; you can use it in other types of video games. An overview of game applications that use fractal graphics, namely: The Legend of Zelda, Link’s Awakening, Witness, Awakening of the Link, I Love Hue. To simplify the use of fractals in the construction of labyrinths, their classification is carried out depending on the power structures they use. Dimensions, hyperdimensionality, playback topology, tessellation, routing, texture, and priority can be applied to such authorities. The maze can be used for one element from each entered class in any combination. The use of fractals in video games allows you to reduce the amount of RAM required for the operation of the game and increase its speed by optimizing the algorithm. Keywords: fractal, fractal game design, Fractal Design, Link’s Awakening, fractal graphics, fractal mazes, fractal modeling.
{"title":"ANALYSIS OF FIELDS OF APPLICATION OF FRACTALS IN VIDEO GAMES","authors":"T. Ladogubets, O. Golova, I. Miroshnichenko, I. Palamar","doi":"10.33842/22195203/2021/22/89/95","DOIUrl":"https://doi.org/10.33842/22195203/2021/22/89/95","url":null,"abstract":"With each passing day, video games are becoming increasingly popular, creating a description of new creative solutions both in the gameplay and in graphics. Fractals play an important role in solving this problem. They are familiar with many uses: by depicting trees and objects in 3D space, building map landscapes to integrate them into gameplay at a deeper level, such as building basic game concepts where some minor parts of the game are parts of a larger one. but still similar to them in concept. Thus, the need to find new ways to use fractal algorithms to improve the graphical and conceptual level of the game. \u0000In this work, an analysis of the possibilities of using fractals for the construction of land maps and the introduction of the process of land sales; generation of complex labyrinths; algorithms for procedural generation of 3D video game mazes based on a cross-platform game engine; organization of interaction of graphics with the game with the help of fractals; you can use it in other types of video games. An overview of game applications that use fractal graphics, namely: The Legend of Zelda, Link’s Awakening, Witness, Awakening of the Link, I Love Hue. \u0000To simplify the use of fractals in the construction of labyrinths, their classification is carried out depending on the power structures they use. Dimensions, hyperdimensionality, playback topology, tessellation, routing, texture, and priority can be applied to such authorities. The maze can be used for one element from each entered class in any combination. \u0000The use of fractals in video games allows you to reduce the amount of RAM required for the operation of the game and increase its speed by optimizing the algorithm. \u0000Keywords: fractal, fractal game design, Fractal Design, Link’s Awakening, fractal graphics, fractal mazes, fractal modeling.","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125921634","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-06-16DOI: 10.33842/22195203/2021/22/181/196
O. Tserkovna
{"title":"URBAN SPACES WITH FOUNTAINS: GRAPHIC MODELS AND TECHNIQUES OF THE ARCHITECTURAL AND PLANNING ARRANGEMENT","authors":"O. Tserkovna","doi":"10.33842/22195203/2021/22/181/196","DOIUrl":"https://doi.org/10.33842/22195203/2021/22/181/196","url":null,"abstract":"","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125715102","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-06-16DOI: 10.33842/22195203/2021/21/16/22
Y. Badayev, L. Lagodina
{"title":"MODELING AND COMPUTER IMPLEMENTATION VECTOR-PARAMETRIC CURVE ON THE GIVEN TWO POINTS AND THE FIRST, SECOND AND THIRD DERIVATIVES IN THEM","authors":"Y. Badayev, L. Lagodina","doi":"10.33842/22195203/2021/21/16/22","DOIUrl":"https://doi.org/10.33842/22195203/2021/21/16/22","url":null,"abstract":"","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114451461","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-06-16DOI: 10.33842/22195203/2021/21/74/82
O. Vorontsov, I. Vorontsova
{"title":"STUDY OF REGULARITIES OF VALUES CHANGE OF SUPERPOSITION COEFFICIENTS OF ONE-DIMENSIONAL FUNCTIONAL DEPENDENCES ON THE EXAMPLE OF POLYNOMIAL FUNCTIONS","authors":"O. Vorontsov, I. Vorontsova","doi":"10.33842/22195203/2021/21/74/82","DOIUrl":"https://doi.org/10.33842/22195203/2021/21/74/82","url":null,"abstract":"","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114720591","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-06-16DOI: 10.33842/22195203/2021/21/35/46
V. Panchenko, A. Brailov
{"title":"STRATEGIES FOR DETERMINING THE PARAMETERS OF AN INACCESSIBLE POINT OF AN OBJECT","authors":"V. Panchenko, A. Brailov","doi":"10.33842/22195203/2021/21/35/46","DOIUrl":"https://doi.org/10.33842/22195203/2021/21/35/46","url":null,"abstract":"","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"142 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132152409","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-06-16DOI: 10.33842/22195203/2021/22/96/103
O. Mostovenko, S. Kovalov, A. Zolotova
Resolving energy saving tasks is an urgent problem of our time. Geometric modelling of energy processes makes it possible for the designer or architect to solve such problems and to consider the energy costs of a project in advance. It is important for practice to solve a number of optimization tasks, in which it is possible to choose the best solution from a set of criteria. The way of solving one of such tasks is proposed in this study. In a mathematical model of an energy field, which is represented in the form of an equation, some of the specified parameters can be set, and the rest are free. If the number of free parameters exceeds the number of given parameters by one, the mathematical model of the energy field will be underdetermined, and it will be possible to find its optimal solution from the one-parameter set of possible parameters. A mathematical model can be represented by a single equation, if the parameters of energy sources are given. If the parameters of the energy field points are set, but the parameters of the energy sources are unknown, the mathematical model of the field is represented by a system of equations. If the unknowns are the coordinates of the given points of the field, the specified system of equations is non-linear. Most of practical tasks of energy field optimization are connected with energy saving. Optimization criterion in this case is minimization of power of energy sources under fulfillment of given task conditions. Dependence between parameters of a target function is described by a single equation or a system of such equations. The optimization problem in this case becomes single-criteria. Variable parameters of an equation or system of such equations are optimization parameters. In this publication one of several problems of energy field parameters optimization connected with practice of architectural design of interiors and exteriors is solved - minimization of energy source powers to provide given potentials in given points of field or minimization of power of given number of identical energy sources as for artificial illumination of rooms.
{"title":"OPTIMIZATION OF ENERGY FIELD PARAMETERS","authors":"O. Mostovenko, S. Kovalov, A. Zolotova","doi":"10.33842/22195203/2021/22/96/103","DOIUrl":"https://doi.org/10.33842/22195203/2021/22/96/103","url":null,"abstract":"Resolving energy saving tasks is an urgent problem of our time. Geometric modelling of energy processes makes it possible for the designer or architect to solve such problems and to consider the energy costs of a project in advance. It is important for practice to solve a number of optimization tasks, in which it is possible to choose the best solution from a set of criteria. The way of solving one of such tasks is proposed in this study. In a mathematical model of an energy field, which is represented in the form of an equation, some of the specified parameters can be set, and the rest are free. If the number of free parameters exceeds the number of given parameters by one, the mathematical model of the energy field will be underdetermined, and it will be possible to find its optimal solution from the one-parameter set of possible parameters. A mathematical model can be represented by a single equation, if the parameters of energy sources are given. If the parameters of the energy field points are set, but the parameters of the energy sources are unknown, the mathematical model of the field is represented by a system of equations. If the unknowns are the coordinates of the given points of the field, the specified system of equations is non-linear. Most of practical tasks of energy field optimization are connected with energy saving. Optimization criterion in this case is minimization of power of energy sources under fulfillment of given task conditions. Dependence between parameters of a target function is described by a single equation or a system of such equations. The optimization problem in this case becomes single-criteria. Variable parameters of an equation or system of such equations are optimization parameters. In this publication one of several problems of energy field parameters optimization connected with practice of architectural design of interiors and exteriors is solved - minimization of energy source powers to provide given potentials in given points of field or minimization of power of given number of identical energy sources as for artificial illumination of rooms.","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"66 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127122280","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-06-16DOI: 10.33842/22195203/2021/21/583/90
Y. Kholodniak, Y. Havrylenko, I. Pykhtieieva, O. Dereza, O. Ivzhenko
{"title":"MODELING THE WORKING SURFACES OF INDUSTRIAL PRODUCTS BASED ON AN ARRAY OF POINTS","authors":"Y. Kholodniak, Y. Havrylenko, I. Pykhtieieva, O. Dereza, O. Ivzhenko","doi":"10.33842/22195203/2021/21/583/90","DOIUrl":"https://doi.org/10.33842/22195203/2021/21/583/90","url":null,"abstract":"","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"124 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114472155","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-06-16DOI: 10.33842/22195203/2021/21/54/65
V. Vereshchaha, Y. Adoniev, O. Pavlenko, M. Rubtsov
The article shows the sequence of parameterization, along the coordinate axis, of the original discretely presented line (DPL) and is presented in general form by a point polynomial. Possible options for the appearance of multiple points are considered and the values of the parameters for these options are presented. It is indicated that with the appearance of multiple points on the DPL in the constituent elements of a point polynomial, uncertainties arise. It is proved that all these uncertainties are revealed, the limits of which, at the nodal points, are zero or one. It is shown that the uncertainties that arise with the appearance of multiple points on the DPC are not an obstacle to global interpolation modeling resources will increase, and the efficiency and quality of modeling will decrease.
{"title":"GLOBAL INTERPOLATION OF THE POINTING POLYNOMIAL OF THE GEOMETRIC COMPOSITION WITH MULTIPLE POINTS","authors":"V. Vereshchaha, Y. Adoniev, O. Pavlenko, M. Rubtsov","doi":"10.33842/22195203/2021/21/54/65","DOIUrl":"https://doi.org/10.33842/22195203/2021/21/54/65","url":null,"abstract":"The article shows the sequence of parameterization, along the coordinate axis, of the original discretely presented line (DPL) and is presented in general form by a point polynomial. Possible options for the appearance of multiple points are considered and the values of the parameters for these options are presented. It is indicated that with the appearance of multiple points on the DPL in the constituent elements of a point polynomial, uncertainties arise. It is proved that all these uncertainties are revealed, the limits of which, at the nodal points, are zero or one. It is shown that the uncertainties that arise with the appearance of multiple points on the DPC are not an obstacle to global interpolation modeling resources will increase, and the efficiency and quality of modeling will decrease.","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114888280","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}