Cubic System. Also known as the isometric system. All three axes are of equal length and intersect at right angles. Based on a square inner structure. Crystal shapes include: Cube (diamond, fluorite, pyrite) Octahedron (diamond, fluorite, magnetite) Rhombic dodecahedron (garnet, lapis lazuli rarely crystallises) Icositetrahedron (pyrite, sphalerite)