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Eight-Sided: Octahedron
Octahedron 7x7x7A 7x7x7 in shape of an octahedron.
Octahedron AxisA 3x3x3 was transformed into an Axis Cube which was transformed into an octahedron.
Octahedron WindmillA Trajbers Octahedron twisted by several degrees along its main axis.

OctahinxA Megaminx in shape of a octahedron.
OctaminxA fairly accessible custom build based on the Pyraminx.
OctaStar IIThe successor of the 24-Octahedron. A hybrid puzzle that adds faceturning abilities to the Little Chop.

Okki (a.k.a. Gem) (a.k.a. Pyradiamond)A 2x2x2 in octahedral form.
Okki Gem I (aka Alexanders Gem)A sticker variant of the Okki which transforms the puzzle back into a puzzle equivalent to the 2x2x2. Produced in East Germany but often customly remade.
Okki Gem IIA 2x2x2 Octahedron, also called a Gem or Okki, but with a color pattern reminiscent of the Alexander's Star puzzle.

Pillowed Octahedron (Megaminx)The second megaminx in octahedral shape. This one was made in CAD with a pillowed shape.
Polka-Diamond (aka: Okki)A small octahedron-shaped 2x2x2.
Professor Greenhills OctahedronA 5x5x5 truncated and extended into the higher order equivalent of Greenhills octahedron.

QJ OctahedronA 3x3x3 in shape of a non platonic octahedron.
Rainbow octahedronA rainbow cube with the squares "deleted" by extensions.
Rob's OctahedronAn octahedral variant of Rob's Pyraminx

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