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Twelve-Sided: Other
Sharp Edges 18105D2E82060A 3x3x3 truncated on 16 edges and afterwards extended. This shape is also part of the sub-series "Rhombus Cuts".
Sharp Edges 51D2E28000A 3x3x3 truncated on 12 edges and afterwards extended. This shape is also part of the sub-series "Rhombus Cuts".
Skewb Hexagonal diypramidA Skewb truncated into the shape of the namegiving solid.

Slice Hexagonal DipyramidA handmade Slice Cube truncated into a hexagonal dipyramid.
Snub DisphenoidA vertex-turning Snub Disphenoid which is Johnson solid #84.
Snub Disphenoid 2x2x3A 2x2x3 in shape of the namegiving solid which is a Johnson solid.

Soph's DiamondThe Curvy Copter Plus in shape of a hexagonal dipyramid.
Spax DiamondA Spax Cube redesigned to have the shape of a hexagonal dipyramid
Spinning TopA 3x3x3 truncated on six different sides.

Squashed PentultimateInspired by the Pentultimate this puzzle neither has its axis system nor its shape.
Squashed Quasi PentultimateSimplified version of the Squashed Pentultimate, lacking one cut.
StinxA megaminx with one layer removed. Only six sides are twistable.

SunshineA corner turning triakis tetrahedron that is equivalent to a corner turning hexahedron with non-equidistant cuts.
Tera-IcosamoidA bandaged and heavily truncated Teraminx, although this was not the inventor's intention.
TeramoidThe even higher-order version of the megamoid


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