POV-Ray : Newsgroups : povray.binaries.images : I finally made a pretty picture! Server Time
4 Oct 2024 17:17:10 EDT (-0400)
  I finally made a pretty picture! (Message 1 to 4 of 4)  
From: Anthony Bennett
Subject: I finally made a pretty picture!
Date: 23 Feb 1999 20:00:05
Message: <36D35051.915F7EBB@panama.phoenix.net>
I couldn't believe it when I came into my room after dinner and saw this
on MY screen. I'm still having trouble believing I made this. This is
too cool a sensation for words. I hope you like. I rendered a boy
surface made out of spheres at 640x480 and cut it down to size. Guess
how I got the colors, and I'll send you the source. =)

[Image]


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From: Kyle
Subject: Re: I finally made a pretty picture!
Date: 23 Feb 1999 21:42:06
Message: <36D366F2.7F79E8D4@geocities.com>
Whew! That's sweet!  I hope one day I'll have that sensation as
well......*sigh*
I have no idea how you got the colors.  I'm still trying to figure out
what a "boy surface" is...
		Kyle


Anthony Bennett wrote:
> 
> I couldn't believe it when I came into my room after dinner and saw
> this on MY screen. I'm still having trouble believing I made this.
> This is too cool a sensation for words. I hope you like. I rendered a
> boy surface made out of spheres at 640x480 and cut it down to size.
> Guess how I got the colors, and I'll send you the source. =)
> 
> [Image]


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From: Anthony Bennett
Subject: This is a boy surface...
Date: 24 Feb 1999 10:53:04
Message: <36D421EC.169D7920@panama.phoenix.net>
Model of the projective plane without singularities. Found by Werner Boy on
assignment from David Hilbert.

Parametric equation:


      x =(2/3)*(cos(u)*cos(2*v)+sqrt(2)*sin(u)*cos(v))*cos(u) /(sqrt(2) -
sin(2*u)*sin(3*v))
      y =(2/3)*(cos(u)*sin(2*v)-sqrt(2)*sin(u)*sin(v))*cos(u)
/(sqrt(2)-sin(2*u)*sin(3*v))
      z =sqrt(2)*cos(u)^2 / (sqrt(2) - sin(2*u)*sin(2*v))


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From: Ken
Subject: Re: I finally made a pretty picture!
Date: 24 Feb 1999 11:28:03
Message: <36D4280D.29A9107C@pacbell.net>
Anthony Bennett wrote:
> 
> I couldn't believe it when I came into my room after dinner and saw this on MY
screen. I'm still
> having trouble believing I made this. This is too cool a sensation for words. I hope
you like. I
> rendered a boy surface made out of spheres at 640x480 and cut it down to size. Guess
how I got
> the colors, and I'll send you the source. =)
> 
> [Image]

Ken (that's me by the way) is guessing that the color distribution is
associated with u and v coordinate mapping related to the parametric
equation used to produce the objects shape. Much like the image posted
by Raymond Tracing a while back. Or it might be something else.

-- 
Ken Tyler

mailto://tylereng@pacbell.net


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