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Doctrinaire axis system with fractional angles (face turning hexahedron)
Bagua CubeThe mass produced an enhanced successor of the Octo-Star.
Bagua IllusionPieces swapped between two Bagua Cubes in order to create an Illusion variant of it.
Bandaged Sun CubeA bandaged version of the Sun Cube.

Gem-45A face turning cube which allows 45�-turns and is doctrinaire.
Jumble Circle 4x4x4A Crazy 4x4x4 with all corners split into six pieces each thereby allowing 45°-turns on the faces.
Natural Triakis OctahedronA Sun Cube truncated into a Triakis tetrahdron, thereby uncovering unseen pieces.

Octo-StarA face turning cube, capable of 45 degree turns in some circumstances.
Sphere 612A jumbling version of the 6.1.2 puzzle on Gelatinbrain's virtual puzzle applet.
SunstoneA face turning cube which allows 45°-turns and is doctrinaire. One piece type more than Gem-45.

Super Octo CubeA more advanced version of David Pitcher's OctoCube.

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