“The Berlin clocks as the key: lamp counts of the set-theory clock and the hours on the World Clock, minute by minute”
Sanborn told solvers to 'delve into that particular clock' (the Mengenlehreuhr, 2014) and later said the Berlin Clock is the World Clock (2025). Here the clocks themselves drive the key: as the time advances by a fixed step per letter, the key is the number of lit lamps, the hour, the minute, their sum, or the digits of the time, from every starting minute of the day. Every schedule is fully fixed by its start, so the 24 known letters test it exactly.
Berlin has a famous set-theory clock that tells the time with rows of lamps, and the World Clockthe Berlin clocks Two famous Berlin timepieces. where the crowds met when the Wall fell. Sanborn told people to 'delve into that particular clock'. Perhaps the keythe secret word The word or string a cipher needs besides the method. is the clock itself: start it at some minute, move it on a fixed amount for each letter, and use the number of lit lamps, or the hour, or the minutes, as the shift for that letter. Each such key is completely fixed by its starting time, so 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. test every one of them exactly.
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 clue
BERLINCLOCK points at the set-theory clock in Berlin, whose lamps count hours and minutes in fives and ones. Its lamps could drive a key, one setting per letter.
the check
Moving one minute per letter, places 22 and 23 leave constants 22 and 4: they differ, so this schedule is dead.
the bound
Lit lamps, hour, minute, their sum, the five-minute row and the time digits, steps of 1 to 30 minutes, every start: at most 8 of 24 known places agree, as on shuffled coppers.
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.
Start the set-theory clock at midnight and move it one minute per letter, so place 22 shows 00:21 and place 23 shows 00:22.
At 00:21 the lamps lit are none for the hours, four five-minute lamps and one minute lamp: 5. At 00:22: 4 + 2 = 6.
On the sculpture's alphabet with Vigenere, place 22 needs total key F (12) minus E (11) = 1, so the constant is 1 - 5 = -4, which is 22.
Place 23 needs L (17) minus A (7) = 10, so the constant is 10 - 6 = 4.
22 and 4 disagree: dead.
Repeat for every start minute, step, schedule and table.
the worksheet: the first steps by hand, on squared paper
4
Worked example, generated
The same steps run by the code on the real letters.
set-theory clock from 00:00, one minute per letter, lit lamps as the key; sculpture's alphabet, Vigenere
place time lamps needed constant
22 00:21 5 1 22
23 00:22 6 10 4
24 00:23 7 21 14
25 00:24 8 18 10
5
Hypothesis, for a cryptanalyst
Family, key space, the constraint under test, and the clues it reads.
Family 1, a key schedule from the clocks (C12(b); 02-sanborn-said.md 2014 'delve into that particular clock... a lot of fodder there', 2025 'the Berlin Clock in K4 is the World Clock'). Mengenlehreuhr state at minute t of the day: a = hour div 5 and b = hour mod 5 (rows of four), c = minute div 5 (row of eleven) and d = minute mod 5 (row of four). Schedules: total lit lamps a+b+c+d (0-23), the hour, the minute, hour plus minute, the clock's five-minute row c, and the digit stream of the time HHMM read minute after minute. The time advances by s minutes per letter, s in {1, 2, 3, 5, 10, 15, 30}, from every start minute 0-1439. Weltzeituhr readings: the 24 facets read in turn give a period-24 key and a 24-letter ring is excluded by 0052, so only the minute-driven schedules are new; a step of 60 minutes gives period 24, dead by the crib sweep. Key value v added to (Vigenere), subtracted from (variant) or used Beaufort-style, with any constant offset, plain and cipher alphabets standard or KRYPTOS. A schedule survives only if all 24 residuals agree (23 checks); the closest fit is reported as mismatches against the most common residual, with ten shuffled coppers.
6
Prediction
Written before the run; the result decides it.
No schedule, step, start and setup makes all 24 known letters agree; the closest fit leaves about as many mismatches as on the ten shuffled coppers. Zero candidates pass.
7
Method
For each schedule, step and start minute, compute the key value under each known place.
For each setup, subtract (or add) it from the total key the known letter needs; the residuals must all be the same constant.
Record survivors and the fewest mismatches.
Repeat on ten shuffled coppers.
8
Result and bounds
The harness's record: candidates, gates, loss, and the negative result this experiment leaves behind.