Modeling the iris of an eye...

Hey guys,
I need your help,
I´ve tried to make the tutorial, how to make Pixar looking eyes…
Link: http://en.wikibooks.org/wiki/Blender_3D:_Noob_to_Pro/Creating_Pixar-looking_eyes_in_Blender

if you look at the Page I have a problem…
If i try to texture the iris, i never see the whole texture of the iris on the iris.
I just removed the cornea out of the sight of the camera,
for better seeing the iris…
the result comes with the next post
Screenshot:

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Here we go
down the post you can see how the rendered iris looks like the way I do it…
not very nice.
So please tell me how to fixx this problem and what I made wrong…
the iris is the first thing you can see on the Pic

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This doesn’t belong in the finished projects section,… but rather in a Q&A forum. Please be more carefull to post in the correct forum.