published_or_final_version / abstract / toc / Statistics / Doctoral / Doctor of Philosophy

Thesis (Ph. D.)--University of Hong Kong, 1997. / Includes bibliographical references (leaf 195-203).

Orientadores: Anamaria Gomide, Célia Picinin de Mello / Dissertação (mestrado profissional) - Universidade Estadual de Campinas, Instituto de Matemática Estatística e Computação Científica / Made available in DSpace on 2018-08-26T15:07:47Z (GMT). No. of bitstreams: 1 Oliveira_JoseFranciscoMota_M.pdf: 3677730 bytes, checksum: 129632445eb36d832a0edf0b95144ac7 (MD5) Previous issue date: 2015 / Resumo: Neste trabalho realizamos um estudo sistemático de algumas pavimentações no plano com polígonos regulares congruentes e não congruentes, propiciando subsídios para o professor que tenha interesse em desenvolvê-lo em sala de aula. Algumas atividades foram sugeridas para serem realizadas inicialmente de forma lúdica e posteriormente objetivando a formalização de alguns conceitos teóricos / Abstract: This work was based on an axiomatic study of some tessellation in the plane with both congruent regular polygons and non-congruent ones providing it for the teachers that are interested in developing it during their classroom. Some activities were suggested to be inicially carried out as an entertaining way and afterwards having as priority the formalization of some theoretical concepts / Mestrado / Matemática em Rede Nacional / Mestre em Matemática em Rede Nacional

The solution for the edge-isoperimetric problem (EIP) of the square tessellation of plane is investigated and solved. Summaries of the stabilization theory and previous research dealing with the EIP are stated. These techniques enable us to solve the EIP of the cubical tessellation.