Round 5: Tossup 17

Dan Shechtman won the 2011 Nobel Prize in Chemistry for discovering the “quasi-” type of these materials, which can be modeled by Penrose tilings. Frank Wilczek (15[1])proposed (15[1])a “time” analogue of these (15[1])materials in which particles display repetitive motion. 32 point groups model the symmetry of these materials, (15[1])which subdivide seven “systems” devised by August Bravais (“bruh-VAY”) such as (*) triclinic and orthorhombic. The most space efficient types of these materials are either hexagonal close-packed or face-centered cubic. (10[1])These materials are modeled by a lattice of repeating unit cells. For 10 points, name these ordered solids exemplified by diamonds. ■END■

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