POV-Ray : Newsgroups : povray.binaries.images : Elliptical torus : Re: Elliptical torus Server Time
29 Apr 2024 01:58:02 EDT (-0400)
  Re: Elliptical torus  
From: Bald Eagle
Date: 22 Sep 2020 06:30:00
Message: <web.5f69d1cea032ea3d1f9dae300@news.povray.org>
Cousin Ricky <ric### [at] yahoocom> wrote:

> You watch Matt Parker to regain your sanity?

After spending most of the weekend trying to work out partial differential
equations of 2D Bernstein polynomials, and Gaussian curvature?
Sure.
After that, lifting boxes at work on Monday was relaxing   :D

Watching Daniel Shiffman would throw me over the edge, because it's
comedy/tragedy of errors, but I'm learning "important" things at the same
time....   It's like elective surgery with insufficient anaesthetic.

And, take a pre-emptive Advil for this one...
https://www.youtube.com/watch?v=YueAtA_YnSY


> I am not convinced that this property is directly relevant to the
> problem I am trying to solve.  I still think the key is in that quartic
> equation I came up with, which should not require numerical methods
> (beyond what's implicit in POV-Ray's built-in functions).  The problem
> is that I am not practiced in solving quartic equations.

Dumb question, but is there an online solver?
A language with the proper symbolic logic?

Cheat and get the right answer first, then use that knowledge as a light to
guide you along the path of working out the quartic.

> P.S.  I have known since 2007 that there is no exact formula for an
> ellipse's circumference.  I discovered that while trying to weld this
> 'O' to the rectangular plate using an ellipse made out of blobs.

It's always the "simple" things, isn't it?


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