The shape I presented today has a very rare property. It is self dual.
The known self-dual polyhedra are the tertrahedron and compounds of several tetrahedra. Brückner is a German mathematics who spent a lot of time for searching other self dual solids. He found 4 or 5 more. I don't know if there exist much more.
The unstickered picture shows the shape in the orange color. The complete solid has 24 equal shapes, every is called 6/2-gon.
I built it as a 3x3x3 twisty. Every face has the same splits. It doesn't shapeshift.
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cw_Brueckner 23,7 shape 24 x 6-2 gon (1).JPG [ 1.76 MiB | Viewed 944 times ]
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cw_Brueckner 23,7 (2).JPG [ 1.38 MiB | Viewed 944 times ]
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cw_Brueckner 23,7 (3).JPG [ 1.47 MiB | Viewed 944 times ]
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cw_Brueckner 23,7 (4).JPG [ 1.66 MiB | Viewed 944 times ]
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cw_Brueckner 23,7 (5).JPG [ 1.87 MiB | Viewed 944 times ]
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cw_Brueckner 23,7 (6).JPG [ 1.97 MiB | Viewed 944 times ]
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cw_Brueckner 23,7 (7).JPG [ 1.82 MiB | Viewed 944 times ]
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cw_Brueckner 23,7 midturn (12).JPG [ 2.03 MiB | Viewed 944 times ]
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cw_Brueckner 23,7 midturn (13).JPG [ 1.57 MiB | Viewed 944 times ]
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