PUZZLE #4973: Galton Board Cipher (diff 6)
A 4-letter word in Galton board pin densities with 4 decoys.
DATA
| Difficulty |
6
|
| Char Count |
4
|
| Char Width |
3
|
| Char Height |
5
|
| Char Gap |
1
|
| Chars |
[[0.81, 7.43, 0.85], [1.43, 7.74, 1.88], [1.0, 6.64, 1.19], [0.84, 0.84, 1.95], [0.76, 6.51, 1.8]], [[1.08, 0.83, 8.74], [1.35, 6.35, 0.51], [1.56, 0.63, 1.19], [0.55, 6.72, 1.44], [1.9, 6.53, 1.65]], [[0.6, 1.48, 8.72], [0.88, 6.11, 1.74], [1.83, 1.15, 8.74], [1.38, 7.95, 0.92], [1.91, 8.9, 1.79]], [[1.78, 1.46, 7.28], [1.69, 7.67, 1.1], [1.04, 1.02, 5.41], [0.91, 5.5, 5.75], [1.07, 7.35, 5.89]]
|
| Font |
{
"A": [
"010",
"101",
"111",
"101",
"101"
],
"B": [
"110",
"101",
"110",
"101",
"110"
],
"C": [
"011",
"100",
"100",
"100",
"011"
],
"D": [
"110",
"101",
"101",
"101",
"110"
],
"E": [
"111",
"100",
"110",
"100",
"111"
],
"F": [
"111",
"100",
"110",
"100",
"100"
],
"G": [
"011",
"100",
"101",
"101",
"011"
],
"H": [
"101",
"101",
"111",
"101",
"101"
],
"I": [
"111",
"010",
"010",
"010",
"111"
],
"J": [
"111",
"010",
"010",
"010",
"110"
],
"K": [
"101",
"101",
"110",
"101",
"101"
],
"L": [
"100",
"100",
"100",
"100",
"111"
],
"M": [
"101",
"111",
"101",
"101",
"101"
],
"N": [
"101",
"111",
"111",
"101",
"101"
],
"O": [
"010",
"101",
"101",
"101",
"010"
],
"P": [
"110",
"101",
"110",
"100",
"100"
],
"Q": [
"010",
"101",
"101",
"110",
"011"
],
"R": [
"110",
"101",
"110",
"101",
"101"
],
"S": [
"011",
"100",
"010",
"001",
"110"
],
"T": [
"111",
"010",
"010",
"010",
"010"
],
"U": [
"101",
"101",
"101",
"101",
"101"
],
"V": [
"101",
"101",
"101",
"010",
"010"
],
"W": [
"101",
"101",
"101",
"111",
"101"
],
"X": [
"101",
"010",
"010",
"010",
"101"
],
"Y": [
"101",
"010",
"010",
"010",
"010"
],
"Z": [
"111",
"001",
"010",
"100",
"111"
]
}
|
| Decoy Count |
4
|
| Instructions |
1. Each character is a 3x5 grid of Galton-board pin densities.
2. Low pin density (<3.5) = balls pass through = pixel ON.
3. High pin density (>3.5) = balls blocked = pixel OFF.
4. DECOYS: some empty cells also have low density.
5. Run 2-means clustering (k=2) on all values to find LOW cluster.
6. Set threshold at (low_mean + high_mean)/2.
7. For each character, try ALL font patterns, pick the closest match.
|
| Hint |
2-means cluster 15×5 pin densities. Low cluster ≈ ON, high cluster ≈ OFF. Match each 3×5 bitmap to the 26-letter font.
|
| Answer Format |
comma-separated bin counts
|
author's note: Pool fill: galton diff 6
— website sponsored —
[ ad space ]