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A 3x3x3 half-regularly truncated 12 times on its corners. The result has the shape of a Triakis Tetrahedron which is a catalan solid.
This puzzle is part of the series "Sharp Corners". All modifications of this series are made by truncating an 3x3x3 on its corners. These truncations are not regular as in the Half Truncated Cube. One dimension of the cut goes deeper than the other two. This half-regular style of truncating a corner was popularized by the Hexagonal Dipyramid. The cutting depths do have to go as deep as in the Hexagonal Dipyramid. The Triakis Tetrahedron is another example which uses half-regularly truncated corners too but with diffrent cutting depths.
The technical signature (12488800101A05) indicates where to cut the original cube.
Some members of this series are made solely by truncating. Others receive additional extensions to "delete" some of the remaining faces.
Interestingly there has not been any transformation for this specific shape before this one although there were two puzzles presented with the shape of a truncated triakis tetrahedron and a third quickly followed.
Like all shape transformation with this specific symmetry group the puzzle does not change its shape when only halfturns are used.
Edge length (long): 80 mm
Weight: 110 grams
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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