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An edges only tuttminx. The shape is called "Dodecahedron-Small Triambic Icosahedron Compound".
This is a variant of the Tuttminx and can be compared to the Alexander Star.
The Alexander Star is an edges only megaminx.
The Super Star is an edges only Tuttminx.
Please refer to Mathworld when you want to learn mare about the puzzle's shape, the "Dodecahedron-Small Triambic Icosahedron Compound".
Thank you to the following people for their assistance in helping collect the information on this page: Andreas Nortmann, Lawrence Cuthbert.
This puzzle can be found in collections of these members:
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