Experiment 31

“The copper off by one letter: the chained autokey and the two-word tests rerun with a letter dropped or added anywhere”

The one-letter-error parameter applied to two exact tests at once. The carved text is taken with one letter deleted at each of 97 positions or one unknown letter inserted at each of 98, and the chained plaintext autokey (0012) and the two-word linear test (0014, total length up to 20) run on every variant.

revertedstatus
experiment 12parents
66 stime, all phases
0candidates
0/24known letters
1

The experiment method

What the method does with the 24 known letters.

The second message on the sculpture was carved with one letter missing, and the artist has been vague about whether the fourth has 97 or 98 letters. So we redo the two sharpest tests from yesterday on every version of the text that has one letter removed, or one unknown letter slipped in, at every possible place. If a single carving slip was hiding the method, one of these versions would suddenly chain together or solve.

1.1

The method at work

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

OBKRUOXOGHULBSOLIFBBWEASTNORTHEASTOTWTQSJQSSEKZZWATJKLUDIAWINFBBERLINCLOCKWGDKZXTJCDIGKUHUAUEKCARone of 196 variants: the carved letter at place 41 taken out; every later letter moves one place leftOBKRUOXOGHULBSOLIFBBWFLRVQQPRNGKSSOTWTQSQSSEKZZWATJKLUDIAWINFBNYPVTTMZFPKWGDKZXTJCDIGKUHUAUEKCARtaken out: J. BERLINCLOCK now sits over different carved letterstried for every deletion and insertion: no autokey lag up to 25 and no pair of words up to 20 letters fitsEASTNORTHEASTBERLINCLOCKIN: THE COPPER, ALL 97 LETTERS, THE 24 KNOWN PLACES IN ACCENTOUT: NO READING; A SINGLE CARVING SLIP DOES NOT RESCUE THESE METHODS
the slip

K2 has a carving error. If K4 has one too, a missing or extra letter shifts every later known letter against its carved letter, and tests that count places fail for the wrong reason.

the variants

The copper with one letter taken out at each of 97 places, or an unknown letter put in at each of 98: 196 versions, each run through two exact tests.

the bound

Neither the chained plaintext autokey (lags 1 to 25) nor two secret words of total length up to 20 fits any version.

2

Experiment lineage

What this experiment was built on, from the lineage page: 3 experiments before it, back to the root of its line. Its number is in bold.

kept reverted, in its family's colour ×error or timeout reverted under today's rules built on a parent in the same family built on a parent in another family
3

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 under Result and bounds below.

4

Walkthrough, by hand

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

  1. Suppose the carver dropped a letter right after position 40. Then the carved letters from 41 on are one place early: the true position 65 is the carved 64, and so on.
  2. Take lag 13 and the sculpture's alphabet with Vigenere.
  3. Position 22 (E) is keyed by position 9, and in turn keys position 35, exactly as before, because the slip is after 40.
  4. But position 64 (B) is now keyed by the true position 51, which is the carved 50, and keys the true 77, the carved 76.
  5. Chain every known letter through its lag with the corrected numbering and see whether the chain closes without contradiction.
  6. Repeat for a slip at every position, and for an extra letter at every position.
the worksheet: the first steps by hand, on squared paper
IN60NFFB62BNNY64YPPV66VTTT68TMMZ70ZFFP72PKKW74WGBERLINCLOCKas carvedwith place 41 removedBERLINCLOCK, places 64 to 74Each known letter now sits over the carvedletter one place further along. Redo theautokey ledger and the two-word sums with thenew pairs; the record ran them for every slip.WHAT A MISSING LETTER DOES: PLACES 60 TO 75 BEFORE AND AFTER TAKING OUT PLACE 41
5

Worked example, generated

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

variant: the carved letter at 41 deleted; lag 13; KRYPTOS alphabet throughout, Vigenere

chain from the cribs breaks after forcing 28 letters
.....................EASTNORTHEASTB............I............W..BERLINCLOCK............U.........
6

Hypothesis, for a cryptanalyst

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

K2 was carved with a letter dropped, and Sanborn has said 97, 98 and 100 in the same breath (C17, C18, family G). 0009 applied the parameter to the stretch scores only. The two tests most able to decide a family exactly are the chained plaintext autokey, where every crib forces letters up and down the chain, and the two-word composition, where 24 equations fall on a + b unknowns. Each runs here on 195 variants under the 24 conventions (autokey) and the standard and KRYPTOS alphabets with both signs (two words). An inserted unknown letter breaks the autokey chain where it sits and drops the equation at its position; a deleted letter shifts every later position by one. Convention: crib positions are kept as given in the variant's own numbering, since Sanborn's positions refer to the carved text. Bounds: complete for one insertion or deletion anywhere.

7

Prediction

Written before the run; the result decides it.

No variant makes the autokey chain consistent at any lag up to 25, and no variant makes a word pair of total length up to 20 consistent. Larger closures and longer pairs behave as on the carved text. Zero candidates pass.

8

Method

  1. Build the 195 variants.
  2. Autokey: for each variant, lag and convention, chain forced letters from the cribs, treating an inserted unknown as a wall; reject on conflict; record consistent lags.
  3. Two words: for each variant, alphabet pair, sign and length pair with a + b <= 20, solve the crib equations by weighted union-find; record consistent pairs.
  4. Submit fully forced autokey texts and vocabulary word matches.
9

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
nonechampion before

196 variants. Autokey lags 1-25: 0 variants have a consistent lag, 0 fully forced (97-letter variants only). Two words with a + b <= 20: 0 consistent cases.

What was searched, as the harness recorded it.

family
one-letter error (insert or delete anywhere) x chained plaintext autokey lags 1-25 x two words a + b <= 20
variants
196
conventions
24
two word pairs
19
autokey variants with a consistent lag
0
autokey consistent cases
autokey fully forced
0
two word consistent cases
none
n two word consistent
0

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 2026-11-05 17:14 UTC; updated after every experiment.
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