“A1.3, with moves: 0117's running keys from the sculpture's texts and Carter, plus any constant shift of the table, with or without every type-1 move, either order, allowing up to three of the 24 known letters to be slips, exact, against scrambled copies, with planted slipped messages”
A1.3 (Stage 2, step 2, issue #76), the part 0210 left out: 0117 required all 24 known letters (change then move: the 23 key differences matched by hash; move then change: a pair index filtered check by check, deepest 8 of 24). Here both orders allow up to 3 failed checks: change then move by a pigeonhole index (4 blocks of 6 known places; 3 slips leave one block whole, whose 5 key differences are looked up), move then change by 4 disjoint pairs of known places (3 slips leave one pair whole, looked up by its key difference at its gap). Both compiled; same sources, numberings, 12 conventions and 0117's route library unchanged; K4 against 10 scrambled copies; two planted messages (one per order) with 3 and 2 slips.
Experiment 117 took the sculpture's own texts as a long key, let the whole table slide by any of 26 places, and tried it with and without the grid scrambles of experiments 80-83. Nothing gave the 24 known lettersthe known letters Sanborn has confirmed that positions 22 to 34 of the message read EASTNORTHEAST and positions 64 to 74 read BERLINCLOCK.. Here the same search allows Sanborn up to three slipsa slip A mistake made while enciphering by hand: a wrong row or column of the table at one letter, so the carved letter is not the one the method gives there. at those 24 places, on the carving and on scrambled copiesa shuffled control The same experiment run on the carved letters shuffled into a random order., with two messages of our own hidden the same way, slips included, to check the search finds them.
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.
the idea
Sanborn was surprised nobody had run the original matrix through all the possible shifts. Experiment 117 did, with the sculpture's texts as the key and every grid move, and found nothing with all 24 known letters; three slips would have hidden it.
the check
The same search, both orders (move first or table first), every route, table, shift and offset, allowing 3 of the 24 known letters to disagree, found through a block or a pair of known places that must agree; K4, 10 copies, two planted messages.
the bound
No setting with 3 or fewer slips on K4 or any copy (chance about 10^-14); both planted messages found at their own route, table, text, offset and shift.
2
Experiment lineage
What this experiment was built on, from the lineage page: 6 experiments before it, back to the root of its line. Its number is in bold.
keptreverted, in its family's colour×error or timeoutreverted under today's rulesbuilt on a parent in the same familybuilt 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.
Take the four ciphertexts as the key text, from some offset, and the KRYPTOS table with Vigenere.
At each known place, the key needed is the carved letter minus the known letter, and the key text offers its own letter.
With a constant shift, needed minus offered must come out the same at every known place.
Allow up to 3 places where it does not: those would be Sanborn's slips.
Slide the offset, and repeat for every text, rule, and every grid scramble before or after the table.
the worksheet: the first steps by hand, on squared paper
5
Worked example, generated
The same steps run by the code on the real letters.
key text: the four ciphertexts as one panel, offset 0; KRYPTOS table, Vigenere, no move
place known carved needed offered needed - offered
22 E F 1 0 1
23 A L 10 1 9
24 S R 21 19 2
25 T V 18 6 12
64 B N 11 22 15
65 E Y 17 12 5
74 K K 0 23 3
the most common value of the last column covers 2 of 24 places; a shift with 3 slips needs 21
6
Hypothesis, for a cryptanalyst
Family, key space, the constraint under test, and the clues it reads.
C2(b) (Sanborn 2003: 'surprised that no one had tried recovering the original matrix and running it through all the possible shifts'), C6(a) (keys concealed at the sculpture), C1(a) (a matrix stage), with A1 (knowledge/12-assumptions.md) and C27(a) (the PALIMPCEST slip). Model as 0117: c = E(p, y[o + i] + s) for a key text y numbered on the standard or KRYPTOS alphabet, offset o, constant s 0-25, E one of 12 conventions (Vigenere, Beaufort, variant; plain and cipher alphabets standard or KRYPTOS); with a type-1 move before the table (move then change: key aligned to carved places) or after it (change then move: key aligned to message places); key texts the carved tableau (rows, rows with index, columns), the Morse (carved, reversed order), the four ciphertexts, K1-K3 plaintexts, Sanborn's 1989 letter, the 1991 dedication texts, the 2025 open letter, forward and backward, every cyclic offset; Carter's book in the change-then-move order only (as 0117). A slip at known place q makes its equation fail; settings with at most 3 failures are counted, K4 against each copy. Chance of any setting with 3 or fewer slips on a text: about 10^-15 (change then move, 4 x 10^11 trials) and 10^-17 (move then change), so the 24 checks decide at k <= 3.
7
Prediction
Written before the run; the result decides it.
No setting with 3 or fewer slips on K4 or on any copy, in either order. Both planted messages are found at their own route, convention, key text, offset and shift, with exactly their slips. Zero candidates on K4.
8
Method
Build 0117's key texts (both numberings) and route library.
Change then move: index every offset of every key text by the 5 key differences inside each of 4 blocks of 6 known places; for each route, convention and text, compute the key each known place needs and look up its block differences; check every offset found on all 24 places with the shift its clean block gives.
Move then change: for 4 disjoint pairs of known places, the moved places' gap and needed key difference are looked up in a per-gap index of each key text; check every offset found on all 24.
Keep settings with at most 3 failures.
K4, 10 copies, two plants with 5 copies each.
9
Result and bounds
The harness's record: candidates, gates, loss, and the negative result this experiment leaves behind.
0117's running keys plus a constant shift, with or without a type-1 move, either order, 0-3 known letters slipped (A1.3)
routes distinct
27,852
conventions
12
shifts
26
key texts
change then move
44
move then change
40
letters cm
1,193,440
letters mc
53,784
trials
change then move
10,370,783,554,560
move then change
467,373,494,016
chance settings with 3 or fewer slips
change then move
4.1e-14
move then change
1.8e-15
method
change then move: 4 blocks of 6 known places, key differences indexed; move then change: 4 disjoint pairs, per-gap difference index; compiled; every hit checked on all 24
k4 settings by order and slips
0, 0, 0, 0, 0, 0, 0, 0
copies settings by order and slips
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
0, 0, 0, 0, 0, 0, 0, 0
copies done
10
k4 hits
none
plants
seed
2,111
order
change then move
route
keyword KRYPTOS (repeats dropped)
keytext
Carter vol 1 fwd [kry]
offset
182,002
shift
15
conv
vig/kry/kry
k
3
slips
33, 65, 70
settings by order and slips
0, 0, 0, 1, 0, 0, 0, 0
planted found
yes
planted mismatches
3
same reading routes
1
own copies settings
0, 0, 0, 0, 0
found
yes
seed
2,112
order
move then change
route
turn cw 9
keytext
panel ciphertexts K1-K4 fwd [std]
offset
96
shift
15
conv
beau/std/kry
k
2
slips
30, 31
settings by order and slips
0, 0, 0, 0, 0, 0, 1, 0
planted found
yes
planted mismatches
2
same reading routes
1
own copies settings
0, 0, 0, 0, 0
found
yes
slip cost bits
1
9.3
2
17.5
3
25.1
controls
10 shuffled copies (seeds 2120-2129); each plant against 5 shuffles of its own ciphertext
exhaustive
yes
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.