Koch Fractal in Non-Euclidean Geometries

dc.contributor.author	Troshin P.I.
dc.date.accessioned	2021-02-25T20:37:52Z
dc.date.available	2021-02-25T20:37:52Z
dc.date.issued	2020
dc.identifier.issn	1066-369X
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/162105
dc.description.abstract	© 2020, Allerton Press, Inc. 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.
dc.relation.ispartofseries	Russian Mathematics
dc.subject	fractal
dc.subject	hyperbolic geometry
dc.subject	Koch curve
dc.subject	Koch island
dc.subject	Koch snowflake
dc.subject	L-system
dc.subject	Lobachevskii geometry
dc.subject	spherical geometry
dc.title	Koch Fractal in Non-Euclidean Geometries
dc.type	Article
dc.relation.ispartofseries-issue	6
dc.relation.ispartofseries-volume	64
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	86
dc.source.id	SCOPUS1066369X-2020-64-6-SID85089073310

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Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.