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Article #375space filling curves (e.g. Hilbert)
From: Wolfgang Burke
Date: Wed, 21 Feb 1996 00:00
Date: Wed, 21 Feb 1996 00:00
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I'm not sure if this is the correct group, but I don't know a better group to place this request. (If you know one, please tell me.) I am looking for enumeration schemes of points in a n-dimensional space such that proximate points get adjacent numbers. I was looking at space filling curves and pictures of the Hilbert curve in the plane seemed very promising so now I am searching for generalized Hilbert curves in n-dimensional spaces. Is there a generalization of Hilbert curves for an arbitrary n (or other space filling curves with similar properties)? The curve transforms every coordinate of a point in the n-dimensional space to a point (number) in one-dimensional space (according to its position on the Hilbert curve). Do you know of any algorithm that given the space coordinates computes the number of the point on the Hilbert curve? Please reply by e-mail since I usually don't read this newsgroup. Excuse me if this is a FAQ, but I don't know much about fractals. Thanks, Wolfgang -- Wolfgang Burke burke@ira.uka.de
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X-Google-Language: ENGLISH,ASCII-7-bit X-Google-Thread: 10ed18,74d5dfc33a91ae32,start X-Google-Attributes: gid10ed18,public X-Google-Thread: ff06e,74d5dfc33a91ae32,start X-Google-Attributes: gidff06e,public From: burke@ira.uka.de (Wolfgang Burke) Subject: space filling curves (e.g. Hilbert) Date: 1996/02/21 Message-ID: <4gerlk$95e@nz12.rz.uni-karlsruhe.de> X-Deja-AN: 140361523 content-type: text/plain; charset=iso-8859-1 organization: University of Karlsruhe (Germany) mime-version: 1.0 newsgroups: sci.fractals,bit.listserv.frac-l nntp-posting-user: burke