Question
The first Lemoine circle is the circumcircle of one of these shapes. Pascal’s theorem describes the intersection of this shape’s sides when inscribed in a conic section. “Three root three over two times side length squared” gives the area for a regular one of these shapes. This shape is the least-sided polygon that does not form the faces of a platonic solid. Only squares, triangles, and (*) these shapes tessellate the plane. Placing two isosceles trapezoids along their longest side will create these shapes. These shapes contain internal angles of 120 degrees each, which sum to 720 degrees. For 10 points, name this polygon with six sides. ■END■
ANSWER: hexagon
<Science - Other Science - Math>
 = Average correct buzz position
Buzzes
Summary
| Tournament | Edition | Exact Match? | TUH | Conv. % | Power % | Neg % | Average Buzz | 
|---|---|---|---|---|---|---|---|
| Snowball Fight 2 | 1/11/2025 | Y | 3 | 100% | 33% | 67% | 83.00 | 
| 2024 FARSI @ Columbia | 12/08/2024 | Y | 11 | 100% | 36% | 55% | 73.18 |