Question
This mathematical structure is approximated when a USB stick needs to be flipped twice before it fits the port. For 10 points each:
[10m] Name these elements of complex vector spaces that must be rotated 720 degrees to return to their original state. A 360-degree rotation transforms these elements into their negatives.
ANSWER: spinors
[10e] A spinor can be imagined as an arrow embedded within this topological structure with only one edge. This shape transforms that arrow to its negative after 1 full rotation since this shape is a loop with a half-twist.
ANSWER: Mobius strip [or Mobius loop]
[10h] Constructing the exterior algebra of an even number of copies of the spinor subspace corresponds to particles whose spin value is in this set.
ANSWER: integers
<BW, Other Science>
Summary
| 2024 ARCADIA at BU | 2024-12-06 | Y | 8 | 11.25 | 88% | 13% | 13% |
| 2024 ARCADIA at Duke | 2024-12-06 | Y | 3 | 20.00 | 100% | 33% | 67% |
| 2024 ARCADIA at Missouri S&T | 2024-12-06 | Y | 2 | 20.00 | 100% | 50% | 50% |
| 2024 ARCADIA Online | 2025-05-17 | Y | 5 | 20.00 | 80% | 40% | 80% |
| 2024 ARCADIA at Penn State | 2024-12-06 | Y | 2 | 20.00 | 100% | 0% | 100% |
| 2024 ARCADIA at Florida Tech | 2024-12-06 | Y | 4 | 15.00 | 100% | 25% | 25% |
| 2024 ARCADIA at UC Berkeley | 2024-12-06 | Y | 2 | 25.00 | 100% | 100% | 50% |
| 2024 ARCADIA at Waterloo | 2024-11-09 | Y | 5 | 22.00 | 100% | 60% | 60% |
| 2024 ARCADIA at GT | 2024-12-06 | Y | 5 | 16.00 | 80% | 20% | 60% |
| 2024 ARCADIA at Illinois | 2024-11-09 | Y | 4 | 20.00 | 100% | 75% | 25% |
| 2024 ARCADIA at Warwick | 2024-12-06 | Y | 5 | 18.00 | 100% | 20% | 60% |
| 2024 ARCADIA at Claremont | 2024-11-02 | Y | 3 | 26.67 | 100% | 100% | 67% |
Data
| Penn State | Maryland | 0 | 10 | 10 | 20 |
| Pitt | RIT | 0 | 10 | 10 | 20 |