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As best I can tell, the rhombohedron and
trigonal trapezohedron should be identical. All edges are equal length, but hard to see how the acute angles can be different. The MathWorld link is the source of this claim.
Tom Ruen (
talk) 05:16, 28 June 2011 (UTC)reply
Okay, I see a rhombic prism is an example of noncongruent rhombic faces.
Tom Ruen (
talk) 05:22, 28 June 2011 (UTC)reply