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Eight-Sided: Octahedron
Lolo's octahedronA 2x2x2 with an additional layer on each side. It behaves like a subset of a 4x4x4.
Magic Octahedron (P.G. Continental)The P.G. Continental version.
Magic Octahedron (holographic stickers)This version has holo-colour stickers.

Magic Octahedron (polish)Polish version of the Magic Octahedron.
Master Face Turning OctahedronCorrectly proportional Master (4-layer) Face Turning Octahedron.
Master OctahedronOctahedral version of the 5x5x5 with some part obmitted.

Master OctamateA Master Pentultimate in the shape of an octahedron.
Master Skewb diamondA master skewb transformed into octahedral shape. Also appropriately described as face turning octahedron with central face pieces.
Master face turning octahedron V2A face turning octahedron with four layers but different cuts as version 1.

Mini Master OctahedronAfter the Master Octahedron from the same inventor another 5x5x5 transformed into the shape of an octahedron.
Mirror OctahedronA face turning octahedron transformed like a bump cube.
Mirror OctaradioThe Mirror Blocks transformed into an octahedron.

Mixup Hexagram OctahedronThe combination of Traijbers octahedron (plus mixup turns) and the skewb octahadron.
Mixup OctahedronA deeper cut mixup cube transformed into an octahedron.
Non Proportional OctahedronNot a Trajber's Octahedron but a flat cousin of it.

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