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im doing a question that involves a shape with 8 faces, 10 vertices and 16 edges. Can anyone enlighten me as to what this shape is called? Many Thanks

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    It's not clear to me that the shape is unique given only this information.2011-03-15
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    @Qiaochu: I believe it is unique. It takes a lot cases to prove this though. There are only a couple of possible degree sequences, and only a couple of possible choices for the sequences of faces, and eventually we eliminate all but the degree sequence 3,3,3,3,3,3,3,3,5,5 and the possibility that all the faces are squares. I wonder if there is a slicker way?2011-03-15
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    I am going to leave my previous comment, but Dan Moores answer definitely shows it is completely wrong.2011-03-15

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