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]
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]
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))
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