Re: Extending continued fractions

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#1246

From: G. A. Edgar
Date: Sun, 06 Sep 1998 00:00

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In article <6srm44$678$1@news-1.news.gte.net>, aardwolf@gte.net wrote:

> 
> Now comes the $64 million question:  what objects comparable to
> continued fractions
> can be conjured from the situation for 3 dimensions?

A good question.  A 3-dimensional analogs of continued fractions
are studied in the branch of mathematics called "the geometry of numbers".
One source is H. Hancock, "The Development of the Minkowski Geometry
of Numbers" (2 volumes) re-printed by Dover.
-- 
Gerald A. Edgar                   edgar@math.ohio-state.edu

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From: edgar@math.ohio-state.edu (G. A. Edgar)
Subject: Re: Extending continued fractions
Date: 1998/09/06
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