Envelopes of Bisection Lines of Polygons
A bisection line divides a convex planar curve into two parts with equal areas. It is natural to study the envelope of these lines, which in general present singularities. The polygonal case is particularly interesting, since there are several different notions of a discrete envelope. In this paper, we study three different notions of discrete envelopes of bisection lines and the connections between them.
Authors
- Joel Marques Da Silva
- Marcos Craizer (ORCID: https://orcid.org/0000-0003-4477-8853)
Institutions
- Pontifícia Universidade Católica do Rio de Janeiro (BR)
Publication Details
- Journal
- International Electronic Journal of Geometry
- Published
- 2024-09-19
- DOI
- https://doi.org/10.36890/iejg.1512613
- Primary Topic
- Point processes and geometric inequalities
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
- Conselho Nacional de Desenvolvimento Científico e Tecnológico
- Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro