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A 3x3x3 half-regularly truncated on 3 corners and afterwards extended. It implements a symmetry rarely seen before.
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 (40000040010) 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.
In this case three corners are truncated like this. The result is a shape with a 3-fold symmetry. The shape can be rotated around a corners without changing the view if stickers are ignored.
The shape was afterwards extended on three of the non-truncated faces to create a new shape. It was built parallel to the truncated variant.
Edge length (top): 57 mm
Edge length (base): 62 mm
Edge length (longest): 84 mm
Height: 102 mm
Weight: 252 grams
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Contributors
Thank you to the following people for their assistance in helping collect the information on this page: Andreas Nortmann, Lawrence Cuthbert.
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