Cipher Challenge
The Hidden Square
Introduction
Polybius cipher. Each two-digit group identifies one cell in a 5 × 5 square: row first, then column. Rows and columns are numbered 1–5, I and J share one cell, and `/` marks a word break. The square was initialized from an undisclosed keyword by keeping each letter’s first appearance, then appending unused letters in alphabetical order.
Count overlapping units and compare their distributions.
Live output582 overlapping coordinate pairs
| Unit | Count | Share | Rank |
|---|---|---|---|
| 24 | 80 | 13.7% | 1 |
| 12 | 59 | 10.1% | 2 |
| 41 | 52 | 8.9% | 3 |
| 14 | 43 | 7.4% | 4 |
| 15 | 37 | 6.4% | 5 |
| 22 | 37 | 6.4% | 6 |
| 33 | 34 | 5.8% | 7 |
| 53 | 34 | 5.8% | 8 |
| 21 | 28 | 4.8% | 9 |
| 42 | 26 | 4.5% | 10 |
| 31 | 24 | 4.1% | 11 |
| 45 | 21 | 3.6% | 12 |
1
21 15 14 13 / 44 24 51 15 33 24 / 24 21 24 45 41 33 22 45 / 41 24 21 24 13 33 12
26
25 31 32 / 44 24 12 45 15 14 / 51 22 33 24 53 / 45 15 35 21 42 / 12 14 14 15 35 14
51
45 24 / 15 14 21 32 / 12 / 51 24 43 / 11 24 53 53 12 13 24 53 / 12 13 33 24 24 42 / 22
76
14 / 12 42 54 12 14 45 24 / 45 21 24 15 55 24 14 35 53 / 12 14 42 / 42 24 11 15 45
101
21 24 22 41 35 53 / 42 24 54 22 53 24 42 / 12 / 11 15 33 24 / 51 21 24 55 22 44 21
126
24 / 53 32 53 41 24 11 / 12 14 42 / 25 15 21 32 44 22 35 53 / 21 12 41 24 33 / 24 55
151
25 21 12 22 14 24 42 / 12 14 42 / 33 24 51 22 14 24 42 / 22 41 / 41 31 24 32 / 42 22
176
54 22 42 24 42 / 41 31 24 / 12 21 25 31 12 44 24 41 / 12 45 33 15 53 53 / 51 22 54
201
24 / 41 12 44 21 24 41 53 / 12 / 53 24 14 42 24 33 / 33 12 22 53 24 42 / 41 15 33 45
226
31 24 53 / 15 14 / 41 31 24 / 21 24 51 41 / 41 15 / 14 12 11 24 / 12 / 41 12 44 21 24 41 /
251
41 31 24 14 / 41 15 33 45 31 24 53 / 15 14 / 41 31 24 / 33 22 13 31 41 / 41 15 / 14 12
276
11 24 / 12 / 21 24 41 41 24 33 / 22 14 / 41 31 12 41 / 43 12 32 / 12 / 43 12 41 45 31 11
301
12 14 / 15 14 / 12 / 42 22 53 41 12 14 41 / 25 24 12 52 / 45 15 35 21 42 / 41 33 12 14
326
53 11 22 41 / 35 14 24 55 25 24 45 41 24 42 / 14 24 43 53 / 22 14 53 41 24 12 42 /
351
15 51 / 45 31 15 15 53 22 14 13 / 51 33 15 11 / 12 / 33 22 13 22 42 / 21 22 53 41 / 11
376
15 42 24 33 14 / 54 24 33 53 22 15 14 53 / 12 33 33 12 14 13 24 / 41 31 24 / 21 12
401
41 22 14 / 12 21 25 31 12 44 24 41 / 51 33 15 11 / 12 / 41 31 33 15 35 13 31 / 23 / 22
426
14 / 12 / 51 22 54 24 / 44 32 / 51 22 54 24 / 53 34 35 12 33 24 / 43 22 41 31 / 15 14 24 /
451
53 31 12 33 24 42 / 25 21 12 45 24 / 51 15 33 / 41 31 24 / 41 43 15 / 21 24 41 41 24
476
33 53 / 41 31 12 41 / 45 12 14 14 15 41 / 51 22 41 / 24 12 45 31 / 21 24 41 41 24 33 /
501
44 24 45 15 11 24 53 / 12 / 25 12 22 33 / 15 51 / 45 15 15 33 42 22 14 12 41 24 53 /
526
12 / 53 22 11 25 21 24 / 22 42 24 12 / 35 53 24 51 35 21 / 22 14 / 53 22 13 14 12 21
551
21 22 14 13 / 45 33 32 25 41 15 13 33 12 25 31 32 / 12 14 42 / 53 41 24 13 12 14
576
15 13 33 12 25 31 32
Compare word shapes, terminals, contacts, and reversals.
Live output120 words · 86 distinct
| Word | Pattern | Count | Start positions |
|---|---|---|---|
12 | 1 | 12 | 57, 114, 209, 244, 278, 294 +6 |
41 31 24 | 1.2.3 | 5 | 181, 231, 264, 396, 465 |
22 14 | 1.2 | 4 | 75, 285, 425, 543 |
12 14 42 | 1.2.3 | 4 | 93, 133, 158, 567 |
51 22 54 24 | 1.2.3.4 | 3 | 198, 428, 434 |
15 14 | 1.2 | 3 | 229, 262, 303 |
45 15 35 21 42 | 1.2.3.4.5 | 2 | 40, 317 |
12 21 25 31 12 44 24 41 | 1.2.3.4.1.5.6.7 | 2 | 184, 404 |
41 15 33 45 31 24 53 | 1.2.3.4.5.6.7 | 2 | 222, 255 |
41 15 | 1.2 | 2 | 238, 272 |
14 12 11 24 | 1.2.3.4 | 2 | 240, 274 |
21 24 41 41 24 33 | 1.2.3.3.2.4 | 2 | 279, 495 |
Terminals
| Sequence | Initial | Final |
|---|---|---|
41 31 | 10 | 1 |
24 42 | 0 | 8 |
41 31 24 | 7 | 5 |
24 53 | 0 | 6 |
12 14 | 5 | 1 |
15 14 | 5 | 4 |
22 14 | 5 | 5 |
31 24 | 0 | 5 |
51 22 | 5 | 0 |
12 14 42 | 4 | 4 |
14 42 | 0 | 4 |
21 24 | 4 | 2 |
Contacts
| Pair | Left | Right |
|---|---|---|
11 | 6: 15 3, 12 2, 24 2, 22 1, 31 1, 53 1 | 5: 24 4, 15 3, 12 1, 22 1, 25 1 |
12 | 14: 33 6, 24 5, 31 5, 14 4, 21 4, 41 3, 43 2, 11 1, 13 1, 25 1, 35 1, 45 1, 53 1, 54 1 | 13: 14 12, 41 6, 44 4, 45 4, 21 3, 22 3, 25 3, 33 3, 11 2, 13 2, 42 2, 32 1, 52 1 |
13 | 6: 14 4, 22 3, 12 2, 15 2, 24 2, 35 1 | 6: 33 4, 24 2, 31 2, 12 1, 14 1, 22 1 |
14 | 8: 12 12, 22 11, 15 8, 24 3, 14 2, 35 2, 13 1, 33 1 | 11: 24 5, 42 5, 12 4, 13 4, 15 3, 53 3, 14 2, 45 2, 21 1, 35 1, 41 1 |
15 | 13: 41 5, 45 5, 33 4, 11 3, 14 3, 15 2, 51 2, 21 1, 22 1, 24 1, 25 1, 31 1, 43 1 | 13: 14 8, 33 6, 35 4, 11 3, 13 2, 15 2, 51 2, 53 2, 21 1, 41 1, 42 1, 45 1, 55 1 |
21 | 10: 12 3, 25 3, 35 3, 44 3, 24 2, 45 2, 14 1, 15 1, 21 1, 51 1 | 8: 24 13, 12 4, 22 2, 25 2, 32 2, 42 2, 15 1, 21 1 |
22 | 14: 51 6, 53 4, 12 3, 33 3, 42 3, 21 2, 54 2, 11 1, 13 1, 24 1, 41 1, 43 1, 44 1, 55 1 | 12: 14 11, 41 5, 53 4, 54 4, 13 3, 42 3, 33 2, 11 1, 15 1, 35 1, 44 1, 45 1 |
24 | 16: 21 13, 41 10, 31 9, 33 7, 42 6, 14 5, 44 5, 11 4, 53 4, 54 4, 45 3, 13 2, 25 2, 24 1, 51 1, 55 1 | 18: 42 8, 33 7, 41 7, 53 7, 12 5, 51 4, 14 3, 45 3, 55 3, 11 2, 13 2, 21 2, 43 2, 15 1, 22 1, 24 1, 32 1, 54 1 |
25 | 5: 12 3, 21 2, 55 2, 11 1, 32 1 | 6: 31 5, 21 3, 24 2, 12 1, 15 1, 41 1 |
31 | 5: 41 11, 25 5, 45 5, 13 2, 53 1 | 7: 24 9, 12 5, 32 3, 11 1, 15 1, 33 1, 41 1 |
32 | 7: 31 3, 21 2, 12 1, 24 1, 33 1, 44 1, 53 1 | 3: 25 1, 44 1, 53 1 |
33 | 10: 24 7, 15 6, 13 4, 12 3, 22 2, 41 2, 45 2, 51 2, 31 1, 33 1 | 10: 24 7, 12 6, 15 4, 22 3, 45 2, 53 2, 14 1, 32 1, 33 1, 42 1 |
Reversals
24 41 7 · 41 24 1012 14 12 · 14 12 421 24 13 · 24 21 224 33 7 · 33 24 724 42 8 · 42 24 631 41 1 · 41 31 1114 15 3 · 15 14 824 53 7 · 53 24 415 33 6 · 33 15 412 33 3 · 33 12 612 41 6 · 41 12 314 24 5 · 24 14 3Working squareSelect or drag a Square or Polybius Hypothesis Result to edit this grid.
Live partial conversion
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? Unknown · ! Invalid token or configuration
Live exact conversionUnavailable