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.

中文翻译：

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非欧几何中的科赫分形

我们为Koch曲线和Koch雪花提出了球面和双曲线（在Lobachevskii平面上）类似物。给出了描述这些分形的度量特征的公式。我们还建议借助这些空间的刚性运动组来构造这些曲线的方法。