International Journal of Electrical and Computer Engineering (IJECE) Vol. 10, No. 6, December 2020, pp. 6592~6597 ISSN: 2088-8708, DOI: 10.11591/ijece.v10i6.pp6592-6597  6592 Journal homepage: http://ijece.iaescore.com/index.php/IJECE A mathematical model of movement in virtual reality through thoughts Ivan Trenchev 1 , Radoslav Mavrevski 2 , Metodi Traykov 3 , Ilire Zajmi-Rugova 4 1,4 University of Library Studies and Information Technologies, Bulgaria 1 Department of Electrical Engineering, Electronics and Automatics, South-West University "Neofit Rilski", Bulgaria 2,3 Department of Informatics, South-West University "Neofit Rilski", Bulgaria 3 Department of Informatics, New Bulgarian University, Bulgaria Article Info ABSTRACT Article history: Received Nov 15, 2019 Revised Jun 4, 2020 Accepted Jun 15, 2020 In this article, we'll introduce ways to build virtual worlds through different computer programs. We will show the method of rectangles for analyzing data obtained from the electroencephalogram. We will demonstrate basic mathematical models for movement prediction in a system of virtual reality. Using this data, the main transformations are possible-change of position and rotation (change of orientation). Keywords: Brain-computer interface Brain chain Virtual reality Copyright © 2020 Institute of Advanced Engineering and Science. All rights reserved. Corresponding Author: Ivan Trenchev, University of Library Studies and Information Technologies, UniBIT, Sofia, p.k. 1784, 119 Tsarigradsko Shosse Blvd, Bulgaria. Email: i.trenchev@unibit.bg 1. INTRODUCTION There are many discussions about the origin of the term “virtual reality”. One of them is that it dates back to the German philosopher Immanuel Kant [1-5]. The exact definition is rather philosophical and it does not include terminology. The modern use of this term was presented by Jason Lanier in in the 1980s. Nowadays this term is quite extensive and has become very popular. Initially, a virtual environment was used but now most of the researches prefer to use the term “virtual reality” instead. This environment should not be considered only as “virtual” in the current definition [6-8]. Another widely used concept is advanced reality (AR). This concept is applied for systems in which most of the objects are visualized through glass, cameras or eyeglasses. In most cases, these virtual ob-jects looks like they are added to the user’s virtual world. Mixed reality (MR) is used as a summary of VR, AR and normal reality. This term VR/AR/MR is mostly used to denote all forms. In this paper, AR, MR, telepresence and tele-operation are going to be perfect examples of VR [6-8]. The term virtual reality is quite contradictory. Burbules finds a solution to this problem by proposing the alternative term-virtuality. We make the follow-ing statement that the virtual word refers to the perceptions as a part of VR’s ideology [6]. In most cases, VR includes a very important component: interaction. In other words, if other sensors participate in the virtual word. If only the eyes are in-volved, then the VR system is called an open loop, otherwise-closed. In the second case, the human body has partial control of the stimulation. This incorporates the body movements, including the head, eyes, hands or legs. The other opportunities are: voice commands, heart rate, body temperature.