POV-Ray : Newsgroups : povray.newusers : ellipse : Re: ellipse Server Time
2 Nov 2024 11:27:27 EDT (-0400)
  Re: ellipse  
From: Warp
Date: 25 Mar 2004 09:10:12
Message: <4062e844@news.povray.org>
HermanS <sas### [at] pandorabeinvalid> wrote:
> Of course that's an ellipsoid. 
> An ellipse is a curve. One can find many examples to represent a curve 
> using povray. Best of all is starting with a parametrical representation 
> for the curve. x = a*cos(t), z=b*sin(t), y=0 (0<=t<=2*pi) represents an 
> ellipse in the (XZ)-plane with axes 2a and 2b.

  I know that an ellipse is a curve and its mathematical representation.
However, what I said is that I wouldn't bet my money on claiming that
an unevenly scaled sphere is a mathematically correct ellipsoid (at least
not without trying to get the mathematical relation between the two).

  It's an ellipsoid in the colloquial sense of "elongated sphere", but
is it an ellipsoid as defined mathematically is another question. :)

-- 
#macro M(A,N,D,L)plane{-z,-9pigment{mandel L*9translate N color_map{[0rgb x]
[1rgb 9]}scale<D,D*3D>*1e3}rotate y*A*8}#end M(-3<1.206434.28623>70,7)M(
-1<.7438.1795>1,20)M(1<.77595.13699>30,20)M(3<.75923.07145>80,99)// - Warp -


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