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Six-Sided: Cube (Shape Changing)
Brick CubeA cubical 2x3x3 which solved position is a midturn state. This one was made before the 2x3x3 was mass produced again.
Broken Window Cube (aka Windmill 2x2x2)A 2x2x2 twisted inside is solid around one of the turning axis.
Bump 27A 2x2x2 with three layers of cubies glued on.

Bump and Grind 2x2x2A shape changing 2x2x2 with cubic shape with a midtwist.
Bump KiteA similar concept to Alehs Kite Cube but with an additional twist.
Bump Tower CubeA bumped 2x2x3 in shape of a cube.

Bump-2A "bumped" Square-2
Bump-9A 3x3x3-transformation descending from the Bump Cube. Here the three bumps were applied with equal distances.
Camouflage CubeA bandaged and extended 4x4x4.

Canny CubeAt first glance it looks like a Bermuda Cube but it actually have 5 axis.
Caution Cube aka Gear CubeA Rubik's Cube with edges that turn by gears.
CelticubeAlso named "cubic face-turning deltoidal icositetrahedron"

CheesexahedronA 3-layer-cheese in shape of a platonic solid. In this case it is a hexahedron.
Clover Cube PlusUnbandaged version of the Trifurcation cube.
Confusion CubeA triangular prism with three layers in shape of a cube but with an awkwarly reoriented axis system.

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