Packet 8: Bonus 1
Morwen Thistlethwaite created an algorithm that can reduce this group into four subgroups to aid in solving it. For 10 points each:
[10e] Name this mathematical group that may be more familiar as a rotating toy with six faces colored white, red, blue, orange, green, and yellow.
ANSWER: Rubik's Cube [accept Rubik’s Cube group]
[10h] Because a composition of cube moves is not commutative, meaning that the order does matter, the Rubik's Cube [emphasize] is not one of these groups.
ANSWER: Abelian (“AYE-bee–lian”)groups [reject “Non-Abelian”]
[10m] Because Rubik's cube face centers are fixed, they are part of a group named for this operation, which also names a calculus rule with the mnemonic "Low d high minus high d low, over low squared."
ANSWER: quotient [accept quotient group or quotient rule]
<Science - Math, Vikram Narasimhan> | VAULT II Packet 08
| Heard | PPB | E % | M % | H % |
|---|---|---|---|---|
| 44 | 18.86 | 86% | 57% | 46% |
Conversion
Summary
| Tournament | Edition | Match | Heard | PPB | E % | M % | H % |
|---|---|---|---|---|---|---|---|
| VAULT II at Georgia Tech | 2026-01-24 | ✓ | 6 | 20.00 | 83% | 67% | 50% |
| Triangle Cup | 2026-03-13 | ✓ | 3 | 10.00 | 100% | 0% | 0% |
| VAULT II at Eden Prairie HS | 2026-03-13 | ✓ | 3 | 20.00 | 100% | 67% | 33% |
| VAULT II at McGill | 2026-03-13 | ✓ | 4 | 10.00 | 25% | 75% | 0% |
| VAULT II at UCSB | 2026-03-13 | ✓ | 5 | 24.00 | 100% | 80% | 60% |
| VAULT II Northern UK | 2026-04-24 | ✓ | 3 | 20.00 | 100% | 67% | 33% |
| VAULT II Southern UK | 2026-04-24 | ✓ | 4 | 25.00 | 100% | 75% | 75% |
| VAULT II at Harvard | 2026-04-30 | ✓ | 3 | 30.00 | 100% | 100% | 100% |
| VAULT II at MINT | 2026-06-19 | ✓ | 5 | 10.00 | 80% | 0% | 20% |
| VAULT II Stanford Online | 2026-07-17 | ✓ | 8 | 20.00 | 88% | 50% | 63% |