Experiment 72

“The 32 points of the compass and the words of Sanborn's last hint as alphabets”

Sanborn's 2025 letter marks 'what's the point?' as a clue, and he chose the word 'directions' on purpose. The vocabulary held only the four cardinal points and NORTHEAST. Here the alphabets are rebuilt from all 32 compass points (EASTNORTHEAST, NORTHBYEAST and the rest) and from the hint's words (POINT, POWER, RESIDES, WITHOUT, DIRECTIONS, BEARING), and tested with a repeating key, the self-feeding autokey, and both together.

revertedstatus
experiment 53parents
72 stime, all phases
0candidates
0/24known letters
1

The experiment method

What the method does with the 24 known letters.

In his last open letter Sanborn wrote 'what's the point?' and marked it as a clue, and years earlier he said he used the word 'directions' on purpose. The known lettersthe known letters Sanborn has confirmed that positions 22 to 34 of the message read EASTNORTHEAST and positions 64 to 74 read BERLINCLOCK. already say EAST NORTHEAST, which is one of the 32 points of a compass. We build the tablethe table The right-hand half of the sculpture, 26 rows of the alphabet each shifted one place further, starting from the word KRYPTOS.'s scrambled alphabets from all 32 point names and from the words of that letter, and try the simplest ciphers with them. Scrambled coppers get the same treatment, so we can tell a real fit from luck.

Words in the margin are defined on the glossary page.

1.1

The method at work

The carved letters go in at the top; the reading comes out at the bottom.

OBKRUOXOGHULBSOLIFBBWEASTNORTHEASTOTWTQSJQSSEKZZWATJKLUDIAWINFBBERLINCLOCKWGDKZXTJCDIGKUHUAUEKCARIN: THE COPPER, ALL 97 LETTERS, THE 24 KNOWN PLACES IN ACCENTthe standard alphabetABCDEFGHIJKLMNOPQRSTUVWXYZmixed by EASTNORTHEASTEASTNORHBCDFGIJKLMPQUVWXYZFTon the EASTNORTHEAST alphabet places 22 and 29 share slot 0 but force F and T42 alphabets from the 32 compass points and the words of the 'what's the point?' letterkey length 26, consistent0393the copper: 87ten shuffled coppersthe copperOUT: NO READING; COMPASS ALPHABETS BEHAVE LIKE CHANCEEASTNORTHEASTBERLINCLOCK
the clue

EASTNORTHEAST is a compass bearing, and Sanborn's letter asks 'what's the point?'. This builds alphabets from every compass point and from the words of that letter.

the check

On the EASTNORTHEAST alphabet places 22 and 29 force F and T in the same slot: dead for a 7-letter word.

the bound

42 alphabets, 1,764 pairings, repeating keys to 52, ciphertext autokey and both together: survivors at the shuffled rate, no word in the fragments.

2

Best candidate against the known letters

This experiment produced no candidate: the search ruled everything out before a full text was built. Its product is the bounded negative in section 7.

3

Walkthrough, by hand

Redo the method on a few letters with pencil and paper.

  1. Build the alphabet from EASTNORTHEAST: EASTNORHBCDFGIJKLMPQUVWXYZ, counted from E = 0.
  2. Use it for message and carved letters, Vigenere, with a 7-letter word.
  3. Place 22: known E is 0, carved F is 11; key 11, F, in slot 0.
  4. Place 29: known T is 3, carved R is 6; key 3, T, also slot 0.
  5. F and T disagree, so this alphabet with a 7-letter word is dead.
  6. Repeat for every pair, word length and lag.
the worksheet: the first steps by hand, on squared paper
THE EASTNORTHEAST ALPHABET, USED FOR MESSAGE AND COPPER, VIGENEREthe alphabet mixed by EASTNORTHEASTE0A1S2T3N4O5R6H7B8C9D10F11G12I13J14K15L16M17P18Q19U20V21W22X23Y24Z25placeknowncarvedslotkey22E=0F=11011 F29T=3R=603 TKey = carved - known on thealphabet. Same slot, differentkeys: dead for a 7-letter word.
4

Worked example, generated

The same steps run by the code on the real letters.

alphabet EASTNORHBCDFGIJKLMPQUVWXYZ on both sides, Vigenere, 7-letter key

place  known  carved  key  slot
   22      E       F    F     0
   29      T       R    T     0
   23      A       L    K     1
   30      H       N    X     1
5

Hypothesis, for a cryptanalyst

Family, key space, the constraint under test, and the clues it reads.

Family 1 re-entered with a new key source: C15(a) and (e) (open letter, sources/openletter-2025.txt: 'If they don't, then (CLUE) what's the point? Power resides with a secret, not without it') and C16 ('the word directions is, I use intentionally', 2010). EASTNORTHEAST is itself a compass point, so the boxing of the 32 points is a natural key source for a man who chose it as plaintext. Words: the 32 point names (NORTH, NORTHBYEAST, NORTHNORTHEAST, NORTHEASTBYNORTH, NORTHEAST, ... in the traditional boxing), SOUTHEAST, SOUTHWEST, NORTHWEST, POINT, POWER, RESIDES, WITHOUT, DIRECTION, DIRECTIONS, BEARING, TRUENORTH, ORIENTATION, OFFSET, COMPASSROSE, WINDROSE, AZIMUTH, DECLINATION; keyword-mixed alphabets, duplicates removed, plus standard and KRYPTOS. Systems: (1) periodic key, periods 1-52, every plain-cipher pair, Vigenere or Beaufort, exact crib consistency, fragments at periods up to 29 matched against the vocabulary and K1-K3; (2) ciphertext autokey with a constant shift, every lag, both alphabets the same word alphabet, key letter on it or on the standard; (3) the 0066 form, autokey plus a periodic key up to 26, same alphabets. Ten shuffled coppers through the same sweeps.

6

Prediction

Written before the run; the result decides it.

No pair makes a periodic key of period 24 or less consistent; 25-26 survive at the shuffled-copper rate; no fragment at periods up to 29 matches a word; neither autokey form has a survivor with three or more redundant checks beyond the controls. Zero candidates pass.

7

Method

  1. Build the alphabets from the compass and letter words.
  2. For each pair and mode, compute the key value each known letter forces and check slot agreement at every period up to 52; keep fragments.
  3. For each word alphabet, lag and key alphabet, check the autokey residuals, alone and with a periodic key up to 26.
  4. Repeat on ten shuffled coppers.
  5. Match fragments against words.
8

Result and bounds

The harness's record: candidates, gates, loss, and the negative result this experiment leaves behind.

0candidates returned
0passed every gate
0/24known letters, best
–lowest loss
34champion before

42 alphabets, 1764 pairs. Periodic consistent at P <= 26: {'25': (0, 0, 2), '26': (87, 17, 393)}. Autokey (checks: K4, control min, max): {'1': (19, 7, 19), '2': (0, 0, 1)}. Autokey plus periodic: {'1': (998, 852, 1094), '2': (27, 15, 33), '3': (0, 0, 5)}. Word matches in 10671 fragments: 0.

What was searched, as the harness recorded it.

family
compass-point and C15 word alphabets: periodic key, ciphertext autokey, autokey plus periodic key
alphabets
42
pairs
1,764
periods
1-52
periodic consistent by period
25
k4
0
controls
0, 2, 0, 0, 0, 0, 0, 0, 2, 0
26
k4
87
controls
164, 393, 224, 308, 163, 140, 17, 79, 275, 61
27
k4
3,528
controls
3,528, 3,528, 3,528, 3,528, 3,528, 3,528, 3,528, 3,528, 3,528, 3,528
28
k4
3,528
controls
3,528, 3,528, 3,528, 3,528, 3,528, 3,528, 3,528, 3,528, 3,528, 3,528
29
k4
3,528
controls
3,528, 3,528, 3,528, 3,528, 3,528, 3,528, 3,528, 3,528, 3,528, 3,528
30
k4
125
controls
71, 293, 55, 151, 245, 199, 50, 101, 95, 0
31
k4
5
controls
0, 2, 0, 5, 0, 5, 2, 4, 1, 3
32
k4
2
controls
1, 0, 0, 0, 0, 1, 1, 0, 0, 0
50
k4
0
controls
0, 2, 0, 0, 0, 0, 0, 0, 2, 0
51
k4
0
controls
7, 4, 0, 5, 14, 6, 10, 2, 6, 8
52
k4
87
controls
164, 393, 224, 308, 163, 140, 17, 79, 275, 61
autokey constant by checks
1
k4
19
controls
19, 8, 7, 16, 8, 18, 15, 10, 16, 8
2
k4
0
controls
0, 1, 0, 0, 0, 0, 1, 0, 1, 0
autokey plus periodic by checks
1
k4
998
controls
1,079, 967, 1,027, 993, 1,008, 852, 1,008, 1,057, 1,094, 1,011
2
k4
27
controls
25, 23, 33, 30, 20, 28, 15, 24, 29, 32
3
k4
0
controls
5, 1, 5, 1, 0, 0, 0, 0, 0, 0
fragments
10,671
word matches
none

How this experiment sits among the others is on the lineage page; its family's open hypotheses are on the families page.

Rendered from the record on 2026-10-18 12:26 UTC; updated after every experiment.
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