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Figure 9
(a) Three-dimensional printed `opened-up' version of the face-centered cubic unit cell with exposed tetrahedral and octahedral interstices (right) and complementary matching piece to `close' the unit cell (left). (b) Three-dimensional printed `opened-up' versions of the unit cell of the hexagonal densest packing of equal spheres with exposed octahedral interstices and a complementary matching piece to `close' three unit cells. These models are used to demonstrate point and translation symmetries. These models are also utilized to derive other structural prototypes from the Cu and Mg structural prototypes by the filling of the various empty spaces with smaller spheres that represent other atoms. (Reprinted with permission.)

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ISSN: 1600-5767
Volume 48| Part 6| December 2015| Pages 1964-1975
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