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Re: Loxodromy
On Fri, 11 Apr 2003, Jacques L'helgoualc'h wrote:
> I believe sample.tex is wrong, as spherical spirals obtained by central
> projection of helixes don't cross meridians with a constant angle
> (samples/sphere.xp).
>
Jacques,
Thanks for the code; I'll look carefully through it in the next couple of
days. But mathematically speaking, radial projection from a circumscribed
cylinder to a sphere is conformal, isn't it? (Essentially the logarithm
function on the Riemann sphere, or Mercator projection, as one prefers.)
If so, then helices should project to loxodromes...
--Andy
Andrew D. Hwang ahwang at mathcs dot holycross dot edu
Department of Math and CS http://mathcs.holycross.edu/~ahwang
College of the Holy Cross (508) 793-2458 (Office: 320 Swords)
Worcester, MA, 01610-2395 (508) 793-3530 (fax)
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