POV-Ray : Newsgroups : povray.general : An excellent link about ray-tracing math : Re: An excellent link about ray-tracing math Server Time
29 Jul 2024 22:34:20 EDT (-0400)
  Re: An excellent link about ray-tracing math  
From: Kenneth
Date: 3 May 2010 11:05:01
Message: <web.4bdee551b47a5f4dae92d9930@news.povray.org>
Darren New <dne### [at] sanrrcom> wrote:
> http://meatfighter.com/juggler/
>
> I like his descriptions of why cross products and dot products and stuff
> work the way they do.
>
Very interesting--I like his graphical/geometrical approach.

He also talks about 'quaternions.'  I'm not a mathematician, but this isn't the
first time I've seen that subject mentioned.  Several months ago, I read a
fascinating mathematics book called MATHEMATICS: THE LOSS OF CERTAINTY by Morris
Kline (published in 1980.)  It's really a book-length essay, a kind of
philosophical discussion about the basic 'illogic' of some of modern
mathematics. The book has practically no hard 'math' equations at all (so I
actually read it cover-to-cover!) He talks about quaternions (and the earlier
calculus) as being a kind of 'breaking point' between the pure logic of previous
maths, and more modern constructs. Definitely worth a read.

Ken


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