Question

They’re not matrices, but a proof of Fermat’s theorem on sums of two squares involves choosing prime p and then parameterizing one of these objects with zero, one, p and a square root of negative one in the field of order p. Point groups of these objects have their degrees limited to one, two, three, four, or six by a “restriction theorem.” (15[2])When a symmetric convex (15[1])bounded subset of R·n (“R N”) does not non-trivially intersect one of these objects, its volume is at most two-to-the-n by Minkowski’s (“min-KOF-skeez”) theorem. Maryna Viazovska (-5[1])proved that optimal sphere packings follow (*) “E-sub-eight” (10[1])and “Leech” examples (10[2])of these (10[1])objects. (10[1])These objects (10[1])can be defined as the integer linear combinations of a basis set of Euclidean space. For 10 points, name these mathematical objects exemplified by one named for Bravais (“brah-VAY”) that is used in crystallography. ■END■

ANSWER: lattices [accept crystal lattices, integer lattices, or lattice points; prompt on point groups until read; prompt on integers by asking “what structure do the integers comprise?”; prompt on crystals by asking “what mathematical objects are typically used to represent crystals?”] (The second sentence clues the crystallographic restriction theorem.)
<Anderson Wang and David Bass, Other Science - Mathematics>
= Average correct buzz position

Buzzes

PlayerTeamOpponentBuzz PositionValue
Swapnil GargEvans Hall destruction awaitersSaint Peter Andre 30006115
Billy BusseBHSU[moderator voice] yes that is so tenpointscore! is your team feeling bonuspilled?6115
Eric Bobrowwave2: trimming membership codes 9655377758gpTeach Us to Outgrow Our Ladness6515
Jeremy CummingsHang et al., Robert BrowningIn Search of Things Past88-5
Eric MukherjeeCurse you, Periplus the Platypus!The anti-STOON-dahl cabal (the tall Keyal et al.)9510
Kevin WangI would prefer not toTeam Name Think Detail9810
Vincent DuQuasicrystal SilenceThe Catastrophic Implosion of Packet Sub9810
Geoffrey ChenThe Plague (anime)" was redirected to: "Oran High School Host ClubRomanos IV Diogenes’ Macaroni Grill10010
Vishwa ShanmugamIn Search of Things PastHang et al., Robert Browning10110
Ali HamzehI prefer really not to speak. If I speak I’m in big troubleDon't be Afraid, the Clown's Afraid Too10310

Summary

2023 Chicago Open08/05/2023Y9100%33%11%86.89