PUZZLE #4329: The Lensing
A compound diff-7 puzzle: NURBS baseline surface, gravitational lensing distortion, wave ripple, and XOR-encrypted pixel font payload. Four layers to peel back.
DATA
| Title |
The Lensing
|
| Grid Size |
64
|
| Z |
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|
| Baseline |
{
"type": "nurbs",
"control_net": [
[
0.8,
1.0,
1.0,
0.8
],
[
1.0,
0.2,
0.2,
1.0
],
[
1.0,
0.2,
0.2,
1.0
],
[
0.8,
1.0,
1.0,
0.8
]
],
"weights": [
[
1.0,
1.0,
1.0,
1.0
],
[
1.0,
1.0,
1.0,
1.0
],
[
1.0,
1.0,
1.0,
1.0
],
[
1.0,
1.0,
1.0,
1.0
]
],
"knot_u": [
0,
0,
0,
0,
1,
1,
1,
1
],
"knot_v": [
0,
0,
0,
0,
1,
1,
1,
1
],
"degree_u": 2,
"degree_v": 2,
"num_control_points": [
4,
4
],
"method": "Cox-de Boor recursion"
}
|
| Lensing |
{
"mass_position": [
19,
41
],
"strength": 4.23,
"model": "Simplified point-mass: r' = r + S/r"
}
|
| Wave |
{
"amplitude": 0.2,
"frequency_x": 4,
"frequency_y": 5
}
|
| Encryption |
{
"method": "xor",
"hint": "The decoded bitmap shows XOR-encrypted characters. XOR key is derived from mass position: key byte = (mass_x + mass_y) mod 256, repeated."
}
|
| Hint |
THE LENSING — difficulty 7 compound puzzle.
NURBS baseline: 4x4 control grid, degree (2,2). Use Cox-de Boor recursion to compute basis functions.
Lensing mass at (19,41), strength=4.2. Inverse: solve r' = r + S/r for r.
Wave: sin(x*4/N*2π)*0.2 + cos(y*5/N*2π)*0.2.
XOR key: mass_x + mass_y = 60 -> byte 60, repeated.
|
| Answer Format |
lowercase decoded message
|
author's note: Pool fill: lensing diff 4
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