nice find..note each symbol coloured are the same distance apart, same as the pivots.
cheers.

One more pic –

added the triangle repeat to lower left in yellow and added some curious (more speculative)/similar symbol repeats highlighted in red only.

the blue is just one of the known bigrams.

anyway, just wondering how far out this pivot-centric logic can be taken and what it could mean. The consistent distances do feel interesting when seen in relation to the pivots- Also I’m noticing how the repeats I’m finding – so far – are localized to the lower part of the cipher.
maybe lower half uses a transposition and upper does not?
(So far I buy into the idea the first part was enciphered "on the fly"…
maybe select areas are like mini crosswords?

cheers

Hi,

these patterns are posted here:
viewtopic.php?f=81&t=3217

Doranchak posted some more. There are quite a few of them

To me it looks still interesting that they cluster around the pivots

cool – I had to assume someone already saw these – thanks, will check out the link!

For what it is worth, if you follow the "/" symbol across the paper, it boxes in the pivots.

The "distance 39" repeats line up nicely if you rewrite the cipher to width 39:

Pivot symbols are marked in red and blue. Repeated unigrams are in green.

At width 78, there are almost twice as many repeated unigrams, the highest at any width:

It’s very interesting to me that the repeated unigrams "resonate" at twice the period of the pivots.

at width 78 all of the pivot symbols are on the same row

I posted earlier that if you follow the "/" across the page it boxes in the pivots. I was looking at it today and found that there are 99 symbols in each of the sections made by the "/." I think my counts are correct but please double check.

Also there exactly 20 symbols from the beginning of each section to the pivot.

working out from there I noticed these extra patterns… just symbols bearing the same position-relationship to the two pivots.

anyone have any thoughts?

I have the same observation as you. Here is another attempt to make sense of it.

In the picture you see the 340 cipher being mirrored with all the colored non-gray squares being period 29 bigram repeats. The pivots are made up entirely of these repeats, which are period 39 not mirrored. The period number is equal to the offset, move 5 squares to the right and 2 squares up. I gave the pivots a darker color to more easily spot them since we are looking at the mirrored cipher.

Consider the 4 vertical sections that are set apart through column 4, 9 and 14.

Section 1: from column 1 to 3
Section 2: from column 4 to 8
Section 3: from column 9 to 13
Section 4: from column 14 to 17

To each section I assigned a specific color for squares that repeat in any one of the other sectors at the offset the pivots use without wrapping around the cipher. In red are the squares that do not repeat in such a way.

Upon careful examination of the picture it can clearly be seen that the pivots are part of a larger structure that tends to repeat from one section to another.

I see this interesting repeating pattern, which may be bigger. What do you want to call them. The P29 patterns?

Yes I noticed that one too. It actually repeats perfectly across all 4 sections, you missed the part of the purple squares. I have called it a p29 repeating bigram structure in another thread so that will do for a name I guess.

408 period 10, the same thing: