cones - 2024 PACE NSC - Buzzpoints App

Question

These objects name natural transformations from a constant diagram to a diagram of the same shape, “universal” examples of which are category theoretic limits. Vector space subsets that are closed under positive scalar multiplication are named for these objects. In the standard parameterization of these objects, replacing the equation “z equals r” with “z equals theta” instead yields a helicoid. (20[1])“Excesses” and “defects” are derived from these objects in the best-known work by (*) Apollonius of Perga. (10[1])Slicing a “double” one of these objects (10[1])with a plane (10[2])yields (10[3])hyperbolas (10[4])and (10[3])parabolas (10[8])as namesake (10[4])“sections.” (10[3])For 10 points, name (10[1])these surfaces that contain a volume of one-third pi (10[1])r-squared h. (10[1])■END■ (10[3])

ANSWER: cones [accept cone of a functor or cones of a functor or universal cones or Conics or conic sections or double cones; prompt on nappe by asking, “What is the name of a single nappe?”] (The words “hyperbola” and “ellipse” come from the Ancient Greek words for “excess” and “defect,” respectively.)

= Average correct buzz position

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Buzzes

Player	Team	Opponent	Buzz Position	Value
Timothy Porter	Maggie Walker A	Seven Lakes	59	20
Robert Wang	Livingston A	DuPage County AT	75	10
Andrea Schirano	Bloomington	Maggie Walker B	82	10
Addison Baker	Walter Payton A	Canyon Crest	85	10
Aditya Shivaswamy	St. Mark's	Okemos	85	10
Aryan Desarapu	Beavercreek	Innovation Academy B	86	10
Josh Fan	Richard Montgomery A	St. Xavier	86	10
Rohan Singh	Thomas Jefferson D	Chattahoochee	86	10
Ayaan Ghori	Carl Sandburg	Thomas Jefferson A	87	10
Rajiv Pujara	Fairfield County AT	Cincinnati Hills	87	10
Ali Hamzeh	Kinkaid	McLean B	87	10
Alan Fan	Thomas Jefferson C	Owensboro	87	10
Danial Pitafi	Carbondale	Belmont	88	10
Janani Gollapalli	Lightridge	Heights	88	10
Jeffrey Xu	Johns Creek A	Detroit Catholic Central B	88	10
Tate Osborne	Alabama Cyber Tech	Richard Montgomery B	89	10
Vidur Kothur	Lindbergh	Detroit Catholic Central A	89	10
Kevin Peng	Winston Churchill A	Johns Creek B	89	10
Thomas Belcher	Saint Joseph	Hoover A	89	10
Jonathan Tao	Stevenson B	Innovation Academy A	89	10
Anthony Zhao	Thomas Jefferson B	Livingston B	89	10
Jonathan Ouyang	University Lab	Maggie Walker C	89	10
Zacariah Hart	St. Thomas	William Fremd	89	10
James Grey	Freeman	Solon	91	10
Brighton Risch	Great Valley	Norfolk Academic Guild	91	10
Ameya Bhalerao	Downingtown STEM	Hoover B	91	10
Sean Harbison	West Point	Strake Jesuit	91	10
Charlie Bork	Elkhorn North	McLean A	92	10
Ben Hellman	Georgetown Day	Mexico	92	10
Ave Rieger	Northmont A	James W. Robinson	92	10
Jingyi Wu	Stevenson A	Detroit Catholic Central C	96	10
Pranav Srambikkal	Lambert	Northmont B	105	10
Ulden Gao	Winston Churchill B	Barrington	107	10
Jun Lowenhar	Hunter B	Choate Rosemary Hall	108	10
Jacob Goldman-Wetzler	Hastings	Durham AT	108	10
Matthew Kohn	Hunter A	Walter Payton B	108	10

Summary

Tournament	Edition	Exact Match?	TUH	Conv. %	Power %	Neg %	Average Buzz
2024 PACE NSC	06/08/2024	Y	36	100%	3%	0%	90.00