So here’s the third method I’ve heard of for solving K3: a double rotational transposition.

As always, the easy visualization/manipulation site:
http://rumkin.com/tools/cipher/rotate.php

Take K3:

ENDyaHrOHNLSRHEOCPTEOIBIDYSHNAIA
CHTNREYULDSLLSLLNOHSNOSMRWXMNE
TPRNGATIHNRARPESLNNELEBLPIIACAE
WMTWNDITEENRAHCTENEUDRETNHAEOE
TFOLSEDTIWENHAEIOYTEYQHEENCTAYCR
EIFTBRSPAMHNEWENATAMATEGYEERLB
TEEFOASFIOTUETUAEOTOARMAEERTNRTI
BSEDDNIAAHTTMSTEWPIEROAGRIEWFEB
AECTDDHILCEIHSITEGOEAOSDDRYDLORIT
RKLMLEHAGTDHARDPNEOHMGFMFEUHE
ECDMRIPFEIMEHNLSSTTRTVDOHW

Leave off the ? and grid it into a 24×14 grid.  Rotate to the right 90 degrees.

DAEGIFWQEWRNDEMGGRBIEHONAOYNRTOI
SONEEDRHSDIDEEETAETIPSHyPHAWDU
TNFTENNaFAOFDEACOESOAHERSENTMTL
ELSIrIDDBIUAASNNMAOMPDAAATYERN
RCHENREAEECDAEWHNHEYCHOGRTHLXTLN
ODTTTYEICEMNSLHLDTOEIWTBNRRSMO
DMAEFEELEEHSGRHSRRTNNPTYETFIITML
BHEIPUOTMTLEABRAUIRLCRFRCWETSED
ANDPTEKEPEEPIRCGSTVULIIREAOEAALED
HMHETFMYTETLOOELSRNOHTNWISIHE
EIORANEHMHLBWCHTATSEYATNLI

Change the column width to 8 and rotate again.

SLOWLYDESPARATLYSLOWLYTHEREMAINS
OFPASSAGEDEBRISTHATENCUMBEREDT
HELOWERPArTOFTHEDOORWAYWASREMOV
EDWITHTREMBLINGHANDSIMADEATINY
BREACNINTHEUPPERLEFTHANDCORNERAN
DTHENWIDENINGTHEHOLEALITTLEIIN
SERTEDTHECANDLEANDPEEREDINTHEHOT
AIRESCAPINGFROMTHECHAMBERCaUSED
THEFLAMETOFLICKERBUTPRESENTLYDETA
ILSOFTHEROOMWITHINEMERGEDFROM
THEMISTXCANYOUSEEANyTHINGQ

Once again this involves leaving the ? behind but can we say that’s proof to leave it with K4?

2 out 3 methods leave it out however those methods require a grid that presupposes the ? must be left out.

The Q is in for sure however.

So how does this compare to solution 1 and solution 2?  Man, if I knew that I’d probably have the brain power to solve K4 by now.

It’s all just reversing the original transposition.  I’m sure computer analysis could follow each letter as it makes the adjustments for each method and calculate the vectors needed.  After that it could extrapolate all the possible algorithms to result in plaintext recovery from K3’s ciphertext.

For the rest of us, we know that it works and that’s great.

3 separate but related methods of solving K3.

Kryptosfan