Artigo Acesso aberto Produção Nacional Revisado por pares

Uma definição da curva de Koch e prova das suas propriedades fundamentais

2019; Lázaro, C. and Rodrigues, T.; Volume: 16; Linguagem: Inglês

10.21167/cqdvol16201923169664mramrd8899

ISSN

2316-9664

Autores

M. R. Adames, Marcos Roberto Dalpiaz,

Tópico(s)

Mathematics and Applications

Resumo

We present a variation on the definition given by Koch to the curve that carries its name.With this definition we show that the set defined is, indeed, a curve; that the curve has no tangents; that it is composed of reduced copies of itself and, consequently, also has a fine structure.Lastly we present a definition of fractal dimension and apply it to the Koch Curve.

Referência(s)