PUZZLE #3773: ScrollFall Cipher [drag: quadratic] (diff 6)
Ball drops through 6 scrolling columns. Physics + scroll timing = 6-char word.
DATA
| Difficulty |
6
|
| Columns |
6
|
| Rows |
120
|
| Capture Condition |
{
"type": "velocity_fraction",
"value": 0.5612907730304735
}
|
| Physics |
{
"gravity": 12.809283197010522,
"ball_mass": 0.4642831419657819,
"drag_type": "quadratic",
"drag_coefficient": 0.06458050798495062,
"medium_density": 1.2
}
|
| Scroll |
{'speed': 1.27, 'direction': -1}, {'speed': 2.66, 'direction': -1}, {'speed': 3.22, 'direction': 1}, {'speed': 4.29, 'direction': -1}, {'speed': 1.92, 'direction': 1}, {'speed': 3.51, 'direction': 1}
|
| Grid |
['D', 'S', 'W', 'M', '8', 'Y'], ['B', 'G', 'G', '8', 'J', 'L'], ['7', 'S', 'D', 'A', 'G', 'L'], ['M', 'X', 'S', '1', 'X', '6'], ['2', '1', 'F', 'Y', '6', 'K'], ['W', 'W', 'e', 'E', '0', 'e'], ['E', 'N', 'F', 'Y', 'z', 'W'], ['6', '7', 'Y', '2', 'G', '8'], ['b', 'r', '3', '4', '3', 'X'], ['Z', '5', '9', 'e', '2', 'I'], ['D', 'E', 'D', 'O', 'L', 'Z'], ['V', 'E', '7', 'X', '3', 'O'], ['P', 'W', 'K', 'S', 'C', 'I'], ['P', 'O', '2', 'E', 'E', 'B'], ['J', '7', 'Y', 'V', 'Z', 'M'], ['Z', '9', '2', '1', 'K', '6'], ['1', 'W', 'X', 'E', 'V', 'I'], ['Z', '5', 'U', '1', '7', 'U'], ['P', 'E', '3', 'Y', 'Y', 'R'], ['3', 'P', 'L', 'E', 'R', 'L'], ['Y', 'I', 'E', 'E', 'A', '3'], ['5', 'F', 'Y', 'M', 'X', 'R'], ['H', 'U', 'W', '2', '1', 'F'], ['Y', 'O', '2', 'E', '4', 'S'], ['F', 'I', 'W', 'B', '0', 'F'], ['4', 'N', '8', '5', 'B', '6'], ['6', 'W', '6', 'H', 'G', 'Q'], ['J', '5', 'U', '8', 'G', 'U'], ['M', 'G', '7', '7', 'M', 'Z'], ['M', 'P', 'W', '1', 'S', 'V'], ['W', 'D', '8', 'Q', 'V', '1'], ['C', 'L', 'F', 'M', 'T', 'P'], ['U', 'S', '5', 'L', '8', '9'], ['N', 'G', 'E', 'A', '0', 'Y'], ['X', '8', '3', 'E', 'S', 'U'], ['9', '6', 'X', '3', '9', 'J'], ['C', '2', 'Z', 'Q', 'Y', 'D'], ['B', 'A', '0', 'U', 'D', '4'], ['L', '3', '6', 'M', 'W', '1'], ['Z', 'C', 'N', 'V', 'R', 'W'], ['2', '1', 'E', '6', '3', 'T'], ['N', 'P', '5', 'B', 'Z', 'B'], ['K', '0', 'L', 'H', '5', 'I'], ['7', 'F', 'Q', 'V', 'X', 'K'], ['S', 'P', 'U', 'Y', 'G', '8'], ['2', 'S', 'D', '4', 'O', 'K'], ['D', '5', '6', '8', 'L', '2'], ['7', 'L', '6', '0', 'I', 'V'], ['4', 'P', 'D', '7', 'I', 'U'], ['7', 'Y', 'N', '1', '6', '2'], ['S', 'E', 'I', 'H', 'U', 'I'], ['O', '3', 'Y', 'H', 'L', 'B'], ['T', 'L', 'K', '3', 'E', 'K'], ['U', 'B', '1', '0', '0', 'X'], ['G', 'Y', 'A', '7', 'L', '7'], ['Y', 'J', 'L', 'O', '7', 'W'], ['A', '8', 'L', 'B', 'U', 'K'], ['N', 'Z', 'K', 'C', 'H', 'L'], ['1', 'G', 'O', 'U', '7', 'E'], ['X', 'O', 'F', 'E', 'K', '3'], ['Q', 'F', 'J', '6', 'T', 'E'], ['M', 'Z', 'G', 'U', 'H', 'U'], ['C', 'I', 'G', '1', 'T', '7'], ['H', 'T', 'L', '6', 'M', 'S'], ['H', 'M', '6', 'B', 'N', '0'], ['T', '9', 'P', '2', '3', '5'], ['0', '0', '7', 'Y', 'S', 'E'], ['O', '0', 'W', 'W', 'V', 'Q'], ['S', '3', '4', 'V', '7', '7'], ['X', 'W', '2', '1', 'W', 'V'], ['U', 'N', 'Z', 'P', 'B', '5'], ['9', 'V', 'K', 'X', 'L', 'F'], ['T', 'I', 'L', 'H', 'U', '7'], ['O', 'I', 'Z', 'K', '0', 'U'], ['L', 'C', '0', 'D', 'J', 'S'], ['M', 'M', 'T', '4', 'D', 'F'], ['0', 'I', '4', 'T', 'T', 'O'], ['T', 'K', 'B', 'P', 'R', 'B'], ['B', 'D', '3', 'V', 'Y', 'N'], ['0', 'L', 'W', '4', '4', 'F'], ['D', '7', 'L', 'Q', 'D', '0'], ['B', '6', 'P', 'X', '9', 'T'], ['1', 'B', 'D', 'U', '8', '6'], ['B', 'U', 'J', 'A', 'T', 'S'], ['7', '2', 'S', 'P', 'F', '6'], ['3', 'Z', 'O', 'R', 'V', 'D'], ['5', '7', 'I', 'F', 'M', 'H'], ['T', 'Q', 'X', '5', '7', 'R'], ['8', 'J', '6', 'T', 'S', '7'], ['9', 'L', 'Z', 'V', '3', 'Z'], ['F', 'O', '7', 'Q', '2', '6'], ['V', 'B', 'L', 'M', '1', 'L'], ['C', 'C', 'L', 'C', 'U', 'L'], ['D', 'Y', '8', 'G', 'F', 'X'], ['X', 'M', 'H', 'R', 'I', 'I'], ['J', 'D', 'R', '4', 'Z', 'P'], ['E', 'V', 'Q', '9', 'I', 'N'], ['B', 'H', 'Y', '9', 'Z', 'W'], ['0', 'V', '3', 'H', 'D', 'X'], ['7', '3', '8', 'A', 'U', '0'], ['Z', '7', '5', 'N', 'V', '8'], ['Y', 'J', 'B', 'R', 'C', '0'], ['F', 'H', '0', 'E', 'L', 'T'], ['N', 'X', '3', 'F', 'D', '5'], ['H', 'Z', '8', 'G', 'A', 'U'], ['A', '8', 'F', 'V', '5', '0'], ['E', 'V', 'T', 'C', 'X', '4'], ['5', 'D', 'P', 'P', 'W', 'V'], ['5', 'Z', 'G', '1', 'T', 'I'], ['P', 'O', 'J', 'T', 'S', 'V'], ['K', '5', 'L', '1', 'V', 'E'], ['E', '5', 'O', 'O', 'K', 'H'], ['R', 'U', 'H', 'X', '1', 'Q'], ['V', 'P', 'I', 'C', 'Z', 'G'], ['9', '5', 'J', 'A', '9', '9'], ['L', 'I', '1', 'G', 'S', '2'], ['6', 'O', 'Z', 'Q', '2', '0'], ['S', 'U', 'R', 'S', '6', 'Q'], ['5', '8', 'C', 'C', 'H', 'C'], ['H', '4', 'Z', 'E', 'I', 'C']
|
| Row Shift |
6
|
| Hints |
Capture when v(t) = 0.56 x v_term. Compute v_term from physics, find t where v(t)=f*v_term, then y(t)=capture_row. capture_row is NOT given. Derive it from the velocity condition. Physics: g=12.81, m=0.46, drag=quadratic, Cd=0.064581. Each column scrolls independently. Compute capture_time, then scroll offset per column. Find the character at capture_y at capture_time in each column. The grid may not show all answer chars at same row. Submit the 6-character word.
|
| Hint |
Capture when v(t) = 0.56 x v_term. Compute v_term from physics, find t where v(t)=f*v_term, then y(t)=capture_row. capture_row is NOT given. Derive it from the velocity condition. Physics: g=12.81, m=0.46, drag=quadratic, Cd=0.064581. Each column scrolls independently. Compute capture_time, then scroll offset per column. Find the character at capture_y at capture_time in each column. The grid may not show all answer chars at same row. Submit the 6-character word.
|
| Answer Format |
lowercase decoded message
|
author's note: Pool fill: scrollfall diff 6
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