Re: [math-fun] Ford circles (Henry Baker)
Re quaternions: Hamilton himself studied CF's of quaternions, but I don't think he got very far (by today's standards). I'm curious about CF's of square matrices -- particularly CF's of matrices like unitary matrices (whatever CF's for those might mean!) --- More Fords (circles, that is) in your future: https://arxiv.org/pdf/1508.01373.pdf http://oro.open.ac.uk/35905/8/__userdata_documents4_ctb44_Desktop_amer.math.... https://arxiv.org/pdf/1412.1457.pdf https://sites.math.washington.edu/~morrow/336_14/papers/bo.pdf http://lup.lub.lu.se/luur/download?func=downloadFile&recordOId=8892215&fileO... At 04:38 PM 11/24/2018, Fred Lunnon wrote:
The later part generalises his method to complex numbers; so what about rational approximation to quaternions? WFL
On 11/24/18, John Golden <goldenj@gvsu.edu> wrote:
I made a quick GeoGebra applet to help me visualize these terrific Ford circles: https://www.geogebra.org/m/v4qn96yr
Date: Sat, 24 Nov 2018 08:09:25 -0800 From: Henry Baker <hbaker1@pipeline.com> Subject: [math-fun] Ford circles
I just discovered this paper on "Ford circles" (1938) for fractions and continued fractions.
Very very cool & elementary. Suitable for high school students.
Either
https://trungtuan.files.wordpress.com/2017/06/ford1938.pdf
or
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Henry Baker