Algebraic varieties named for this shape are subject to the orbit–cone correspondence and can be constructed from fans. For knots named for this shape, “x-to-the-p equals y-to-the-q” is a relation of the knot group. “R-squared” quotient “Z-squared” is isomorphic to this surface, which has “Z-cross-Z” as its fundamental group. This surface can be obtained by gluing each pair of opposite edges of the unit square in the same direction. This orientable surface with Euler characteristic zero is the Cartesian product of two circles. Depending on orientation, either a Klein bottle or this genus-one surface is formed by joining the circular ends of a cylinder. For 10 points, the surface of a coffee cup is topologically equivalent to what single-holed surface shaped like a doughnut? ■END■
| Northern California | Main | Y | 5 | 100% | 0% | 60% | 76.80 |
| Southern California | Main | Y | 6 | 100% | 0% | 17% | 72.33 |
| Eastern Canada | Main | Y | 12 | 83% | 0% | 83% | 109.40 |
| Florida | Main | Y | 7 | 86% | 0% | 57% | 98.17 |
| Great Lakes | Main | Y | 7 | 86% | 0% | 57% | 105.67 |
| Lower Mid-Atlantic | Main | Y | 10 | 90% | 0% | 70% | 116.44 |
| Upper Mid-Atlantic (1) | Main | Y | 11 | 100% | 0% | 82% | 116.64 |
| Upper Mid-Atlantic (2) | Main | Y | 5 | 100% | 0% | 60% | 102.20 |
| Lower Midwest | Main | Y | 4 | 50% | 0% | 75% | 119.00 |
| North | Main | Y | 5 | 100% | 0% | 60% | 97.00 |
| Northeast | Main | Y | 12 | 100% | 0% | 33% | 79.67 |
| Northwest | Main | Y | 4 | 100% | 0% | 50% | 91.00 |
| South Central | Main | Y | 8 | 88% | 0% | 63% | 99.57 |
| Upstate NY | Main | Y | 4 | 100% | 0% | 50% | 90.75 |
| Player | Team | Opponent | Buzz Position | Value |
|---|---|---|---|---|
| Ian Parsons | Maryland D | Georgetown B | 60 | -5 |
| Eshan Pant | NYU A | Maryland C | 60 | -5 |
| Jarman Taylor | Johns Hopkins C | George Mason C | 64 | -5 |
| David Bass | Johns Hopkins A | George Mason B | 68 | -5 |
| Zaid Asif | NYU B | George Washington A | 70 | 10 |
| Vincent Zhang | Penn A | Georgetown A | 71 | -5 |
| Max Kolda | Notre Dame E | Catholic University | 82 | -5 |
| Sayan Chandaroy | UMBC A | George Mason A | 95 | -5 |
| Gus Vanskike | Maryland B | George Washington B | 95 | -5 |
| Leonard Castine | Penn B | Johns Hopkins B | 103 | -5 |
| Andy Yu | Maryland A | VCU A | 103 | 10 |
| Ben Spirtas | Maryland C | NYU A | 118 | 10 |
| Dillon George | Catholic University | Notre Dame E | 124 | 10 |
| Jeremy Katen | George Mason A | UMBC A | 124 | 10 |
| Aidan Ross | George Washington B | Maryland B | 124 | 10 |
| Jack O'Brien | Georgetown B | Maryland D | 124 | 10 |
| Margaret Withers | George Mason B | Johns Hopkins A | 124 | 10 |
| Derrick Liu | Johns Hopkins B | Penn B | 124 | 10 |
| Anubhav Kamath | George Mason C | Johns Hopkins C | 124 | 10 |
| Vayun Krishna | Georgetown A | Penn A | 124 | 10 |