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A raw diamond has these geometric characteristics: its crystal habit is octahedral, and its crystal system is isometric-hexoctahedral (cubic).
There are several, including isometric forms such as cubes and octahedrons, twinning is also seen.
I think both are same. There is difference between isometric view and isometric drawing that is of size.
an isometric sketch is a 3D drawing of different regular prisms that are often drawn on isometric dot paper isometric sketches are useful for planing enginering basic items.
isometric drawing