Forgive me if I'm asking a question that's been answered before, but I haven't
been able to find it.  I'm trying to render a glass cup, but there are black
splotches on the sides. This is the simplest code that creates the problem I'm
having:

  #include "colors.inc"

  camera {
    location <4,6,0>
    look_at  <0, 1,  0>
  }

  plane { <0, 1, 0>, -0.1
    pigment {
      checker color White, color Gray80
    }
  }

  cylinder {
    <0,0.1, 0>,
    <0, 3,0>,
    1
    pigment { rgbf 1 }
    interior { ior 1.1 }
  }

  light_source {
    <0,5,-5>
    color White
  }

When I render it, the sides of my cylinder come out black, instead of
transparent like I'd expect.  Can someone tell me what I'm doing wrong?

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