u/Decent_Note_1964

Repeated column trigrams in K1

I’ve seen ELY in K1 mentioned a few times as a possible K4-relevant artifact, but ELY is only one example of a broader pattern. I have not seen this mentioned elsewhere, so maybe it's useful information for someone.

[edit] I believe this is novel information, not a rehash of tired analysis, hence this post. I wrote it to help another user who was looking into ELY, I thought the following was well-known. Apologies if old news, please correct me. Also, see K4 relevance in later edit. This is NOT a solution to K4, but might help.

If you stack K1 as plaintext / key / ciphertext, several entire vertical columns repeat. In other words, it is not just that the ciphertext has repeated letters, but that the same PT+key+CT column triple blocks recur. Examples include:

  • ELY appears 4 times (position is almost regular - 13, 23, 33, 43, 53)
  • ELY SIU appears twice
  • NPV CAJ ELY OIQ FMT appears twice
  • other single column triples like EPH, HMS, etc. repeat too

That seems more specific than a normal text repeat. For a column triple to repeat, Sanborn’s plaintext wording, the repeating PALIMPSEST key alignment, and the resulting CT all have to line up.

Since Jim only had a budget of 63 characters (K1 length) it would be unusual to force 29 columns (46%) to occur in a repeated triple unless there was good reason.

For example, imagine he needed ALICE to repeat in 2 specific spots, including exact corresponding keyword fragment (say ALIMP) and CT. He'd need to plot ALICE on said positions (strongly constrained by where (p)ALIMP(sest) happens to land, it is predetermined) then build up a coherent sentence around them. Here is an example. Now imagine having to fill in the space surrounding ALICE/ALIMP with lucid prose.

              what here
? |A L I C E| ? ? ? ? ? |A L I C E| ? ? ? ? ...   CT
p |A L I M P| s e s t p |A L I M P| s e s t ...   keyword

Given that K1’s phrasing was apparently “carefully worded,” I don’t think this should be dismissed as just "ELY appearing by chance". I don’t know what, if anything, it implies for K4, but the phenomenon is better described as repeated PT/key/CT column-triple blocks, not merely repeated CT fragments.

[edit, per mod]: Consider that these repeated sections are useful as alignment edges or strides (see the 13/23/33/43/53 pattern). Or that their content is elements of a transposition or (say) a Polybius square. Or perhaps concatenated as a keystream. Or maybe under some shift they give us the full RDUM strings. Or the indexes and lengths frame text extents in K4. Not sure, but perhaps they connect some dots someone else has been looking for.

Nomenclature: Repeated sections delineated using |x|, eg at position 13, you can see ELY SIU, which you can see again at 43. The more interesting/longer one is at 31 & 51

                        |13 | <-- See repeat of this 2 column block at 43
 B E T W E|E|N S U B T L|e s|H A D
 P A L I M|P|S E S T P A|l i|M P S
 E M U F P|H|Z L R F A X|y u|S D J
          |6|  
                          |31     35| <-- See repeat of this 5 column block at 51
 I N G A N D T H|E|A B S E|n c e o f|
 E S T P A L I M|P|S E S T|p a l i m|
 K Z L D K R N S|H|G N F I|v j y q t|
 ^               26            ^


              |43 |            |51     55|  *
 L I G H T L I|e s| T H|E N|U A|n c e o f|I q L U S I O N
 P S E S T P A|l i| M P|S E|S T|p a l i m|P c E S T P A L
 Q U X Q B Q V|y u| V L|L T|R E|v j y q t|M k Y R D M F D
                       |47 |

Inventory (29 columns):

EPH x2  positions  6, 26
NSZ x2  positions  7, 19
USR x3  positions  9, 49, 59
ELY x4  positions 13, 33, 43, 53
SIU x2  positions 14, 44
HMS x2  positions 15, 25
APD x2  positions 16, 21
NPV x2  positions 31, 51
CAJ x2  positions 32, 52
OIQ x2  positions 34, 54
FMT x2  positions 35, 55
LPQ x2  positions 36, 41
IPM x2  positions 56, 61
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u/Decent_Note_1964 — 2 days ago

The K Walk on Vig

A walk on the Vig tableau exactly transforms EAST → FLRV. It works partially for other cribs too, but breaks down quickly. Probably not the answer, but maybe a useful seed for someone.

I'm not claiming this solves K4. It almost certainly doesn't. But the EAST/FLRVmapping is exact and reproducible, so I'm putting it out there.

I found this while trying to see what IDBYROWS could mean geometrically.

TLDR; navigate the Vig surface in a specific way using EAST and it emits FLRV

EAST / FLRV:

1 - First ct is F. Go to F row on Vig, find corresponding pt, E
2 - scan across until you find K. Then +1 since you moved right (left=0)
3 - scan down until you find the next pt, A. You are on row L
4 - scan left to K. Scan down to find S. Row is R.
5 - scan left to K. Scan down to find T. Row is V.

A KRYPTOSABCDEFGHIJLMNQUVWXZKRYP
   
F       E       →      KR  - start on F row, letter E
        ^               ↓  - scan right to K (then +1 since right)
                        ↓  - scan down to find A -> is on L row
L                K   ←  A  - scan left to K (+0 since left) 
                 ↓      ^
                 ↓         - scan down to find S -> is on R row
R          K  ←  S         - K on left (+0)
           ↓     ^
           ↓               - scan down to find T -> is on V row
V          T               - K on left (+0)
           ^

Three consecutive hops, all clean, no fudging. Input EAST, output FLRV

Where it breaks:

  • BERLINCLOCK / NYPVTTMZFPK: only the opening B/E step lands on a K cleanly; the rest need much larger post-K offsets that don't fit the "+1" rule.
  • CLOCK / MZFPK: middle two contacts (L/O on Z→F and O/C on F→P) work, but the rest don't. However it DOES work if you use TXXT instead of K
  • NORTHEAST / QQPRNGKSS: no full path under the strict rule.

What's interesting about it:

  • It's purely geometric — no key, just the literal letter K on the tableau.
  • The K-letter overrepresentation in K4 CT (8 K's, ~12× English) has a natural explanation if K is structurally an anchor.

What it's NOT:

  • A full decryption method.
  • Tested for letters past the four official cribs.
  • Robust beyond EAST. Though maybe a tweak will 'fix it'

Analysis says this result is ~10x random expectation, so I believe there's a hidden nugget here. But could still be coincidence.

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u/Decent_Note_1964 — 6 days ago

LAYERTWO and 'L' row are both extended on row-14

A curious alignment of clues. I haven't seen this mentioned, apologies if it's old news. There are two 'extended' rows on Kryptos, one on the left & one on the right. And they're both row 14.

  • The 'mistake' in K2 for IDBYROWS / LAYERTWO is on row 14.
  • The row on the Vig with the extra L is on row N == 14.

So we had to 'fix'/add an extra letter to the left-row, extending it by 1.
Already had an extra letter on same right-row, extending it by 1.

                                      + extra
N(14) GHIJLMNQUVWXZkRYPTOSABCDEF GHIJ L  Vig row N

14    DQUMEBEDMHDAFMJGZNUPLGEWJL LAETG   C (idbyrows)
      TESFORTYFOURSECONDSWESTIDB YROWS   P

14    DQUMEBEDMHDAFMJGZNUPLGEsWJ LLAETG  C (layertwo)
      TESFORTYFOURSECONDSWESTxLA YERTWO  P
                             + extra

Aligns with my belief that it was not a mistake, it was a clue.

Remember the P/C thing on his photo - maybe this reinforces it - tells us how to anchor P/C/Vig? Not sure. But maybe it helps someone.

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u/Decent_Note_1964 — 9 days ago

Do the Shadows Force an Ambigram

I was reading this post (thanks u/Sorry_Adeptness1021) which has the below Vig image from the Smithsonian archives. I realized I could read it (almost) legibly even though it was upside down/rearward.

I believe this is known as an ambigram (an approach where letters are designed to be readable from multiple orientations - eg SOS reads the same upside-down, as does SWIMS, and WOW reads MOM).

I interpret the Vig letters as:
ELCHI?KT <-- idea is freshly-baked, no idea what J would represent
DELCHI?K
GDELCHI?

The serifs help make this interpretation possible (grateful he didn't use comic-sans)

Then I remembered he once said something about (paraphrase) 'turn it around, shine a light on it, ...' and I thought - if a light was placed behind the scroll, it would project the text reversed. Furthermore, if you consider a camera lens (what is a photo but a LUCID MEMORY) it would project the text as inverted (note that camera OBSCURA letters can be found in same K4 block as KRYPTOSY)

This is not far-fetched, he demonstrates exactly this with another artwork, Cyrillic Projector, see 2nd picture. Note how MEDUSA is projected with correct orientation, ie he must have engraved it in reverse - ASUDEM

In other words, is there a potential encoding when read this way? Obviously it's the K4 text I am referring to; the Vig image just makes the idea clear.

Just an idea, maybe it helps someone - I have not had time to investigate it myself yet.

Per my usual warning, I could also be hallucinating, the toast has so many (clock) faces.

Smithsonian archives, annotated by OP

[Edit]: Here is a photo from Elonka's site of the projection. Apologies for the multiple edits - I could not get all 3 images to render. Hopefully working now.

Projection of MEDUSA (Elonka, annotated by OP)

Reversed engraving ASUDEM (Elonka, annotated by OP)

Ugh - images may refuse to render - See images in my reply below

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u/Decent_Note_1964 — 9 days ago