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A 4x4x4 in shape of a rhombohedron aka trigonal trapezohedron.
This puzzle can be made quite easy from an octahedral 4x4x4. All a builder has to do is to "delete" two opposing faces by gluing extensions on it and thereby extending the surrounding ones.
The resulting shape is a rhombohedron also known as trigonal trapezohedron.
Thank you to the following people for their assistance in helping collect the information on this page: Andreas Nortmann, Minh Thang Vo.
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