POV-Ray : Newsgroups : povray.advanced-users : request for special lens-like shape : Re: request for special lens-like shape Server Time
29 Jul 2024 14:23:40 EDT (-0400)
  Re: request for special lens-like shape  
From: Slime
Date: 5 Mar 2002 18:46:23
Message: <3c8558cf$1@news.povray.org>
> But the derivative of the derivative is discontinuous there...

I've never seen a proof of this, but I'm 99% sure that it is physically
impossible to have a function with both infinitely continuous derivatives
*and* a perfectly flat spot, unless the entire function itself is flat.

If you only need the first and second derivatives to be continuous, and you
don't care about the third derivative, that can be done...

- Slime
[ http://www.slimeland.com/ ]
[ http://www.slimeland.com/images/ ]


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