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Six-Sided: Cuboid
5 Layer Super Square-1A puzzle made from the Super Square-1 with 5 layers instead of four.
5x5x6 (fully functional)The first fully functional 5x5x6
5x5x7Another cuboid with half-regular dimensions that would have been impossible without CAD.

5x5x7 (pillowed)A pillowed version of the 5x5x7. Made from a mass produced 7x7x7.
5x5x8Another cuboid which for a long time was not known to be missing.
5x5x9Another cuboid which for a long time was not known to be missing.

5x6x6The world first fully functional 5x6x6 cuboid.
5x6x6 I-CubeA 6x6x6 with one layer cut away.
5x6x7An amazing cuboid which pieces could not have been proportional.

5x6x7 Floppy I-cube ExtremeA bandaged 7x7x7 with three layers removed on two sides.
5x7x7The inventor's alternative name for this cuboid is "imperial floppy".
5x7x7 (pillowed)A pillowed version of the 5x7x7. Made from a 7x7x7.

5x7x7 Floppy I cubeA 7x7x7 with the 3 top layers bandaged and truncated.
5x7x9Also labeled as the "the definitive ultimate shapeshifting cuboid".
5x7x9 (pillowed)A slightly pillowed 5x7x9. Made by hand from a 9x9x9.

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