You're asking about a raw diamond, one that has not been cut or polished.
In context, sometimes a raw diamond's "... eight corners are truncated by the eight faces of the octahedron." This is one description of a diamond's raw, crystalline form.
You can read more about the geometric descriptions of raw diamonds, below.
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an eight sideded polygon is an octagon octa means 8 * * * * * Yes, that is an eight sided shape but the question asked what an 8 FACED shape was. The answer to the question that was asked is an octahedron.
A OctahedronThis shape has 8 faces.
The cut of a diamond may contain perpendicular lines. The mineral diamond may also have natural perpendicular lines in the lattice, and these are not visible in gem-stone quality diamonds.
making an octagon using diamond shapes
Depending on the depth of the round brilliant cut, the measurement can be estimated at about 8 mm at the girdle.