a second set of images, I think here it's clearer what's happening :)
First the object without subdivision, then 3 times subdivided, then 5 times 
subdivided but with normal triangles.  As you can see, the lighting on the 
bottom object is almost identical as the one on the first two, this means 
the geometry of the third object is the implied geometry of the first.

cu!
-- 
#macro G(b,e)b+(e-b)*C/50#end#macro _(b,e,k,l)#local C=0;#while(C<50)
sphere{G(b,e)+3*z.1pigment{rgb G(k,l)}finish{ambient 1}}#local C=C+1;
#end#end _(y-x,y,x,x+y)_(y,-x-y,x+y,y)_(-x-y,-y,y,y+z)_(-y,y,y+z,x+y)
_(0x+y.5+y/2x)_(0x-y.5+y/2x)            // ZK http://www.povplace.com

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