I read your message and I am almost sure this is an epsilon problem, 
same as when Bill Pragnell and me, and others, modelled the Ringworld a 
couple of years ago. For the POV version then in use, an unofficial 
patch was issued, but the problem appeared again with the 3.7 version 
and, as far as I know, has not been corrected. It is a simple matter of 
a more accurate epsilon value. Strictly speaking this is not a bug and 
you can try to avoid the problem by scaling down the HF and elevate the 
camera a bit more until it disappears. Personally I feel that as an 
inelegant solution though, and I would much prefer an appropriate 
epsilon value.

Thomas

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