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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

[en] DISCRETIZATION OF FOUR-VERTEX TYPE THEOREMS FOR SPATIAL AND SPHERICAL POLYGONS / [pt] DISCRETIZAÇÃO DE TEOREMAS DO TIPO QUATRO VÉRTICES PARA POLÍGONOS ESPACIAIS E ESFÉRICOS

SAMUEL PACITTI GENTIL 11 April 2024 (has links)
[pt] O objetivo deste trabalho é estudar uma certa classe de polígonos espaciais e provar teoremas a respeito do número mínimo de achatamentos que tais polígonos necessariamente possuem. Para tal, investigamos polígonos esféricos que não estão contidos em nenhum hemisfério fechado e deduzimos, entre vários resultados, que sob certas hipóteses tais polígonos esféricos possuem uma cota inferior não-trivial para o número de inflexões esféricas. / [en] The aim of this work is to study a certain class of spatial polygons and prove theorems on the minimal number of flattenings that such polygons must have. In order to do this, we investigate spherical polygons which are not contained in any closed hemisphere and deduce, among many results, that under certain hypotheses such spherical polygons have a nontrivial lower bound on the number of spherical inflections.

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