"Slime"  wrote in message <458b94d1$1@news.povray.org>:
> But those coincident surfaces are on the *inside*, which shouldn't be a
> problem... or do you need this to be transparent?

Yes. Or hollow sometimes.

> If so, making the cylinders overlap should still be an option - just do it
> only a tiny, tiny bit, so that you can't see it at any reasonable resolution
> but the coincident surface is elliminated.

That is always a possibility, but approximations like that my stomach curl.
And even with very tiny overlap, there are always one or two rays that
arrive just at the bad place and get a strange color.

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