Koch fractal in non-Euclidean geometries (Q2225870)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Koch fractal in non-Euclidean geometries |
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Koch fractal in non-Euclidean geometries (English)
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11 February 2021
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The author presents a spherical and a hyperbolic (on the Lobachevskii plane) analogue for the Koch curve and the Koch snowflake. The formulae describing metric characteristics of these fractals are given. He also proposes a method of construction for these curves with the help of the groups of rigid motions of the spaces in question.
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Koch curve
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Koch snowflake
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Koch island
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spherical geometry
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hyperbolic geometry
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Lobachevskii geometry
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fractal
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\(L\)-system
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