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 |
|---|---|---|---|---|
| Parker McCoig | Tennessee A | Clemson A | 55 | -5 |
| Liam Rojas | Virginia A | Liberty A | 68 | -5 |
| Malachi Ledford | Tusculum | Roanoke | 69 | -5 |
| Abbott Sherwin | NC State | Tennessee B | 70 | 10 |
| Mason Lambert | James Madison | Clemson B | 73 | -5 |
| Caleb Slusher | South Carolina A | Virginia Tech A | 92 | -5 |
| Neal Sengupta | North Carolina B | North Carolina A | 93 | -5 |
| Ilyas Choukri | Virginia Tech B | Virginia B | 115 | 10 |
| John McQueen | South Carolina B | North Carolina C | 118 | -5 |
| Sam Kung | North Carolina C | South Carolina B | 119 | 10 |
| Sri Lnu | Clemson B | James Madison | 124 | 10 |
| Abby Keith | Liberty B | Liberty C | 124 | 10 |
| Noah Fine | North Carolina A | North Carolina B | 124 | 10 |
| Thomas Glotfelty | Virginia Tech A | South Carolina A | 124 | 10 |
| Ben Lanahan | Clemson A | Tennessee A | 124 | 10 |
| Alexandra Knight | Liberty A | Virginia A | 124 | 10 |