Packet 9: Bonus 13
People who believe foolhardy things shun March 14th in favor of June 28th in order to celebrate this number. For 10 points each:
[10e] Name this number symbolized tau, that is approximately equal to 6.28. This number equals the ratio of a circle's circumference to its radius.
ANSWER: 2𝜋 [accept 2 pi or 2 times pi]
[10m] Tau enthusiasts are bad people for making this “most beautiful identity in math” look less nice. This identity’s typical formula is stated as e to the i times pi plus one equals zero.
ANSWER: Euler's identity
[10h] Michael Hartl’s 2010 Tau Manifesto claims the constant would simplify the formula for the nth one of these values, which is typically given by a formula of e to the power of 2 pi times i over n for some n.
ANSWER: roots of unity [or de Moivre numbers]
<Science - Math, Vikram Narasimhan> | VAULT II Packet 09
| Heard | PPB | E % | M % | H % |
|---|---|---|---|---|
| 34 | 21.18 | 85% | 88% | 38% |
Conversion
| Team | Opponent | Part 1 | Part 2 | Part 3 | Total | Parts |
|---|---|---|---|---|---|---|
| Eden Prairie | Burnsville | 10 | 10 | 0 | 20 | EM |
| Minnetonka A | Minnetonka B | 10 | 10 | 10 | 30 | EMH |
| Providence | Minnetonka C | 0 | 10 | 0 | 10 | M |
Summary
| Tournament | Edition | Match | Heard | PPB | E % | M % | H % |
|---|---|---|---|---|---|---|---|
| VAULT II at Georgia Tech | 2026-01-24 | ✕ | 6 | 25.00 | 100% | 100% | 50% |
| VAULT II at Eden Prairie HS | 2026-03-13 | ✓ | 3 | 20.00 | 67% | 100% | 33% |
| VAULT II at McGill | 2026-03-13 | ✓ | 4 | 17.50 | 75% | 75% | 25% |
| VAULT II at UCSB | 2026-03-13 | ✓ | 5 | 26.00 | 100% | 100% | 60% |
| VAULT II Northern UK | 2026-04-24 | ✓ | 3 | 20.00 | 67% | 100% | 33% |
| VAULT II Southern UK | 2026-04-24 | ✓ | 4 | 27.50 | 100% | 100% | 75% |
| VAULT II at Harvard | 2026-04-30 | ✓ | 2 | 20.00 | 100% | 50% | 50% |
| VAULT II at MINT | 2026-06-19 | ✓ | 5 | 12.00 | 60% | 60% | 0% |
| VAULT II Stanford Online | 2026-07-17 | ✓ | 8 | 23.75 | 100% | 100% | 38% |