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June 13th, 2012, 03:10 AM  #1 
Newbie Joined: Oct 2010 Posts: 3 Thanks: 0  convex polyhedron
Hello! I have a sequence of 3 nested convex hulls in 3d. There is no a plane contained 4 points. The outer hull consists of 5 points, the next one consists of 4 points, the last one consists of 4 points. The hypothesis claims that there is convex polyhedron with 7 vertexes. Please, can you suggest me any method to try to prove it. Thank you. 

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convex, polyhedron 
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