Submitted by Cássia Santos (cassia.bcufg@gmail.com) on 2016-10-03T12:22:59Z No. of bitstreams: 3 Dissertação - Geovani Rita da Silva - 2016.pdf: 1692714 bytes, checksum: d0d181e14ba19b51de51781d66cde3c2 (MD5) Produto Final - Geovani Rita da Silva - 2016.pdf: 1554742 bytes, checksum: 54b1a2cb259fe91d44d7d9c87a0b6507 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2016-10-03T12:55:18Z (GMT) No. of bitstreams: 3 Dissertação - Geovani Rita da Silva - 2016.pdf: 1692714 bytes, checksum: d0d181e14ba19b51de51781d66cde3c2 (MD5) Produto Final - Geovani Rita da Silva - 2016.pdf: 1554742 bytes, checksum: 54b1a2cb259fe91d44d7d9c87a0b6507 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Made available in DSpace on 2016-10-03T12:55:18Z (GMT). No. of bitstreams: 3 Dissertação - Geovani Rita da Silva - 2016.pdf: 1692714 bytes, checksum: d0d181e14ba19b51de51781d66cde3c2 (MD5) Produto Final - Geovani Rita da Silva - 2016.pdf: 1554742 bytes, checksum: 54b1a2cb259fe91d44d7d9c87a0b6507 (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2016-02-26 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / The famous Rubik’s cube offers interesting opportunities to teach concepts applied in physics, chemistry and mathematics, to develop skills for problem solving. We developed this work using the Rubik’s cube in order to work with some concepts that are forgotten in the books of physics at basic education. Through a guide for teachers, we apply ou product in2nd and 3nd year high school classes in the Estate school Messias Pedreiro in Uberlândia – MG, showing among other things the statiscal nature of entropy, the second law of thermodynamics, Maxwell’s demon and the Max- Boltzmann distribution. To support this work we based on overview about the applied technique. / O famoso cubo de Rubik oferece oportunidades interessantes para ensinar conceitos aplicados na Física, Química e Matemática, para desenvolver habilidades para resolução de problemas. Nesse aspecto desenvolvemos este trabalho no intuito de trabalhar com alguns conceitos que são esquecidos nos livros de Física na educação básica, utilizando o cubo de Rubik. Através de um guia para professores, aplicamos nosso produto em sala de aula de segundo e terceiro ano colegial da Escola Estadual Messias Pedreiro em Uberlândia – MG, mostrando entre outros aspectos, o caráter estatístico da entropia, a segunda lei da termodinâmica, demônio de Maxwell e a distribuição de Max-Boltzmann. Para fundamentar este trabalho baseamos na estratégia de jogos e suas possibilidades metodológicas. Após aplicar o produto foram relatadas pelos estudantes suas impressões sobre a técnica aplicada.

Since the 1970s, the Rubik’s Cube puzzle has intrigued millions of people. It did not take long until people tried to solve the cube as fast as possible, and started to compete. However, in recent years, a new trend of robots solving the cube has flourished. The purpose of this project was to investigate time and precision aspects of a Rubik’s cube solving robot. A four armed robot was designed and a system was built. The construction made it possible to first scan the cube using a webcam and solve the cube by letting the robot perform the movements necessary for solving. Differences in time for different scrambles was analyzed as well as the robot’s precision. Since the robot only had four arms, the results showed differences in turning the up- and downside of the cube. To get access to these sides, the robot had to perform a flip motion. Since the software used was not optimized to minimize these moves there were differences in solving time. Moreover, the robot’s precision differed depending on its setup and how fast it was programmed to go. Two different setups was compared, one being slow and having big margins between each move and the other one being more rapid. Both setups worked, although calibration was more crucial for the faster one. / Sedan 70-talet har Rubiks kub fängslat miljontals människor. Det tog inte lång tid innan kampen om att lösa kuben så snabbt som möjligt uppstod och med det även tävlingar. Under de senaste åren har däremot en ny trend kommit med robotar som löser kuben. Projektets syfte var att undersöka tids- och precisionsaspekter för en robot som löser en Rubiks kub. I det här projeketet byggdes en fyrarmad robot med uppgift att lösa kuben. Systemet skapades så att kuben först skannas med en webkamera och sedan sätts på plats i roboten som löser kuben. Skillnader i tid för olika blandningar samt robotens precision analyserades. Eftersom roboten konstruerades med fyra armar var det tydliga skillnader i tid för upp- och nersidans drag. För att få tillgång till dessa sidor var hela kuben tvungen att roteras. Eftersom mjukvaran som användes inte var optimerad för att minimera nyttjandet av dessa rörelser varierade lösningstiderna. Dessutom var det skillnader i robotens precision beroende på systemets kalibrerade hastighet. Två olika inställningar jämfördes där en var långsammare med större marginaler mellan varje drag och den andra var snabbare. Båda fungerade för att lösa kuben men kalibreringen blev mycket avgörande för den snabbare inställningen.