This picture demonstrates how viewpoint matters in perceiving impossible 3d objects.
Check out this site for an explanation on how it is done, the history of and the psychological mechanisms responsible.
And here are some more 3-d impossible structures and animated java demonstrations on how the illusions are possible.
Go here for the demos
There is a demo of the original impossible 3D object from the post a couple days ago at this site as well.
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Thank you so much for posting the "solutions". I was really wondering how the hell those figures were made. Though, even after seeing the explanation/rotations, they still look so real to me!
ohh yeah... thank Eamon and Brian for helping on this one :)