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Eight-Sided: Octahedron
Octahedron 3x3x3 aka Greenhills octahedronAnthony Greenhill's octahedron build-up of a 3x3x3 cube.
Octahedron 4x4x4The concept of Greenhills Octahedron adapted to a 4x4x4.
Octahedron 7x7x7A 7x7x7 in shape of an octahedron.

Octahedron AxisA 3x3x3 was transformed into an Axis Cube which was transformed into an octahedron.
Octahedron StarminxA Starminx I in shape of 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.

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