POV-Ray : Newsgroups : povray.general : Bezier problem : Re: Bezier problem Server Time
9 Aug 2024 23:26:56 EDT (-0400)
  Re: Bezier problem  
From: John VanSickle
Date: 16 Apr 2000 21:57:14
Message: <38FA7273.A48417D5@erols.com>
Ron Parker wrote:
> 
> On Sat, 15 Apr 2000 19:50:55 -0400, John VanSickle wrote:
> >There is.  If r is the radius of the quarter circle, then the
> >distance from the little-o control points to its big-O control point
> >will be:
> >
> >  4/3*(sqrt(2)-1) * r
> >
> 
> In the MetaFont Book, IIRC, Knuth states that it's impossible to
> create a circle using Bezier curves.  Is this not true?

It is indeed impossible to create an entire circle with a single
Bezier curve.  However, the Bezier above creates a quarter of a
circle.  I did the math two or three years back, and it boiled
down to a constant radius over that quarter circle.

Regards,
John
-- 
ICQ: 46085459


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