PUZZLE #4223: Resonant Cascade (diff 5)
A damped harmonic oscillator at f0=4.61 Hz, gamma=0.06. Each driving frequency either collapses (A > 3.1) or survives. The collapse pattern encodes the answer.
DATA
| F0 |
4.61
|
| Gamma |
0.06
|
| A Drive |
1.0
|
| A Max |
3.1
|
| Frequencies |
4.61, 9.61, 9.61, 4.61, 4.61, 4.61, 9.61, 4.61, 9.61, 4.61, 4.61, 9.61, 9.61, 9.61, 9.61, 9.61, 9.61, 4.61, 9.61, 4.61, 4.61, 9.61, 9.61, 4.61, 9.61, 9.61, 4.61, 9.61, 9.61, 9.61, 9.61, 9.61, 4.61, 9.61, 4.61, 4.61, 9.61, 4.61, 9.61, 9.61, 9.61, 9.61, 4.61, 9.61, 4.61, 4.61, 9.61, 9.61, 4.61, 9.61, 9.61, 4.61, 4.61, 4.61, 4.61, 9.61, 9.61, 4.61, 9.61, 9.61, 4.61, 4.61, 9.61, 9.61, 4.61, 9.61, 4.61, 4.61, 4.61, 9.61, 9.61, 9.61, 4.61, 9.61, 4.61
|
| Mode |
Resonant Cascade: compute A(f) = A_drive / sqrt((1 - (f/f0)^2)^2 + (2*gamma*f/f0)^2)
|
| Hint |
Oscillator: f0=4.61 Hz, gamma=0.06, A_drive=1.0, A_max=3.1. Compute A(f) for each frequency. Collapse->1, Safe->0. 5-bit groups -> letters. Answer is a 15-letter word.
|
| Answer Format |
lowercase word, no spaces or punctuation
|
author's note: Pool fill: resonant-cascade diff 5
— website sponsored —
[ ad space ]