Koch Fractal in Non-Euclidean Geometries

被引：0
作者：
P. I. Troshin
机构：
[1] Kazan Federal University,
来源：
Russian Mathematics | 2020年 / 64卷
关键词：
Koch curve; Koch snowflake; Koch island; spherical geometry; hyperbolic geometry; Lobachevskii geometry; fractal; L-system;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We propose a spherical and a hyperbolic (on the Lobachevskii plane) analogues for the Koch curve and the Koch snowflake. The formulae describing metric characteristics of these fractals are given. We also suggest the method of construction for these curves with the help of the groups of rigid motions of the spaces in question.
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页码：86 / 90
页数：4
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