Online since 2002. The most comprehensive site for all around twisty puzzles.

Impossible 1x5x5 CuboidA 1x3x3 with additional layer attached. The corners are held in place with magnets.
Intelligent 2x2x2 BombA shape shifting puzzle in the shape of a brain bomb.
JAMmed PetaminxA bandaged Petamix

JT-BallA combination of the tricylinder 3x3x3, cornerless cube and an unusual stickering scheme.
Johns Hopkins 1x2x5Not a mass produced puzzle but customly 3D-printed.
Jumble IntersectTwo 2x2x2s (rotated with respect each other) fused into one puzzle.

Junior Mental FlopA Mental Flop reduced by one layer.
Key 3x3x3A mass produced 3x3x3 reduced to a compact size and with a customly attached keyring.
KhrombThe axis system of an edge turning hexahedron in shape of a Stellated Rhombic Dodecahedron.

Krystian's SquareA very complicatedly implemented trivial puzzle.
Large KilominxMade from a large Megaminx. 84 mm edge length.
Late Show Stephen ColbertAdvertising for the show of the same name.

Lattice OhA Master Dino Cube in shape of a Super X.
Leesho (1 layer)One layer and one orthogonal ring of moving tiles.
Leesho (2 layers)Two layers and one orthogonal ring of moving tiles.

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