POV-Ray : Newsgroups : povray.animations : Mathematician needed : Re: Mathematician needed Server Time
26 Jun 2024 08:01:58 EDT (-0400)
  Re: Mathematician needed  
From: MSAB
Date: 7 Oct 2006 00:40:01
Message: <web.45272f6221f6831cd37f8e50@news.povray.org>
"Bob Frew" <bob### [at] ntlworldcom> wrote:
> Help needed please
> I am trying to calculate a set of regular distance points along the path of
> a conical spiral helix.
> I need these to ultimately run a smooth camera around the scene I'm working
> on.
>
> So if you have a general spiral helix  where
>  R is the large radius
>  r is the small radius
>  H is the height
>  n is the number of turns of the spiral
>
> Anyone know
>        a) How long is the total spiral ?
>        b) How to calculate (x,y,z) for a given distance along the spiral
> (not angle) ?
>
> If this is one of those blindingly obvious things, I'll apologise now.
>
> Thanks Bob
to a) isnt't it (2*pi*((R-r)*2+r))*n+H ?


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