# Where is my girlfriend?

Well, I'm really, really sorry to everyone who has spent time trying to tackle this puzzle. I made a HUGE mistake in the presentation. I honestly don't know how I managed to make a mistake this big, but in any case, I'm sorry to have wasted your time. What's worse is that I didn't even realize the mistake I had made and I posted comments encouraging people and telling them that they were on the right track.

The rubik's cube image is wrong. I don't really have an excuse, but this is what happened: during the development of this puzzle, I toyed with several different ways to incorporate the rubik's cube. One of the versions of the puzzle involved the rubik's cube image that I ended up using, but it isn't the one that matches the cipher text that I provided.

The correct image should feature a solved rubik's cube net numbered in the following fashion.

         [ 1][ 2]
[ 3][ 4]

[ 5][ 6] [ 7][ 8] [ 9][10]
[11][12] [13][14] [15][16]

[17][18]
[19][20]

[21][22]
[23][24]


and the exact same unsolved rubik's cube, with no letters on it, and every square marked with it's appropriate number.

Again, I'm really, really sorry to have wasted people's time. This isn't quite the impression I had intended to make for my debut question on the site. I'm going to flag this question for closure as "off-topic," but I'm not sure that that is the correct course of action.

The intended solution is:

permute each block of the cipher text the same way that the cube squares are permuted

and then

Use the substitution defined by mapping the "in order" alphabet above the board to the first line of the cipher text.

My girlfriend teaches the third grade at a nearby elementary school. Today, I was supposed to meet her in her classroom after the school day ended, so we could go to the movies together.

However, when I got to her classroom, I couldn't find her. Instead,this message was printed on the white board:

vmrdtonhilxwagfsecjkbupq
oowaoijhbhjxcdbrrccbsjdo
jwoiyaljrtjccmpgdtpxalcr


On her desk, there was a 2x2x2 rubik's cube with some writing on it. I'm not sure if it is important, but I've reproduced the net of the cube as I found it, as well as the net of the solved state.

Solved Cube:

Her Cube, as found:

It appears that she had written the lettering on herself.

A final detail in the room struck me as out of place. Above the white board, there were cards displaying the cursive alphabet, e.g. Aa, Bb, Cc..., however it appeared that the final letters Yy and Zz were missing.

All in all, the board looked something like this:

Can you help me decipher the message on the board?

Edit: I modified her cube so that one of two logical orderings is forced. This does not change the answer, but reduces the trial and error to find it.

Hint:

Permutation(s) are involved (pretty obvious because of the rubik's cube.), but just permutations will not solve this.

Bigger hint:

The first line of cipher text is not actually part of the message! It is there to help you decipher the following two lines.

• Welcome to puzzling! This a great puzzle for a new user! – Beastly Gerbil Oct 9 '16 at 12:58
• @BeastlyGerbil Thanks. Lurking pays off eventually. – Liam Oct 9 '16 at 13:01
• I'm sorry to say mate, but I don't think she wants to be found :( – n00dles Oct 9 '16 at 19:08
• She really doesn't want to go to the movies, does she? – QBrute Oct 9 '16 at 21:45
• Do you think you can fix this puzzle rather than closing it? If so, I'd suggest doing that (by replacing the erroneous images with the correct ones). Seems like some solvers were on their way to figuring it out. – Dan Russell Oct 10 '16 at 18:28

If we solve the cube with the writing on it we get:

This suggest that each section is a letter in the alphabet, Liam has said also said the alphabet goes in a snaking pattern:

And the pattern:

This is why Y and Z cards are missing, there are only 24 squares

This also means you girlfriend's cube looks like this:

Now the cipher...

We know it can't just be from the cubes because there is a 'y' in the cipher but obviously not in the cubes, (also translating just gives gibberish)

• This is correct and a necessary step. – Liam Oct 9 '16 at 13:35
• @Liam I have the next bit just writing it up... – Beastly Gerbil Oct 9 '16 at 13:36
• Interesting, to observe that "K,.,M,N,O" are in the natural order. So one would guess the place of the letter L instantly. Although I have no clue what this would mean, if anything. – Matsmath Oct 9 '16 at 13:40
• @BeastlyGerbil I'm going to give you a hint because this is my fault. In hindsight I should have made this clearer. The ordering should be snaking AB and then next line DC, etc. I should have added letters on different lines to force a single valid ordering. – Liam Oct 9 '16 at 13:48
• @Liam oops, so I have it the wrong way round? – Beastly Gerbil Oct 9 '16 at 13:50

This is not an answer yet, but I couldn't just keep on posting all my observations in comments so I will do it here.

The first line have 1 of each of the 24 letters which seems to indicate another level of permutation or something. I have yet to find out how to use it but it will be important to figure out if the first level of permutation must be used on it before it is usable.
I also noticed that there is a y in the message, which can be a hint toward something or simply meant to be left as a y.

I tried many many things which all let to pure giberrish. First, since the first line has 24 different letters, and the message has 25(with the y), I assumed that the whole cube puzzle was meant to decode the first line, and then we could use the first line to solve the message, but it has not worked.

• Your first observation is very important, especially given that I tried to hint (via proximity) that that first line might be used with the alphabet string above the board. – Liam Oct 9 '16 at 14:50

Now that the rubik cube has been solved, I tried various permutaions (spoilers have some weird interaction with other formatting, but this is not the solution yet)

sorting the three lines:
abcdefghijklmnopqrstuvwx <= same as on the cube but permuted differently
abbbcccddhhijjjoooorrswx <= not all letters present, many duplicates but not enough vowels
aacccdgijjjllmopprrttwxy

_

writing them on the cube in the solved snakified order:

  vm        oo        jw
dr        aw        io
tonhil    oijhbh    yaljrt
sfgawx    rbdcxj    gpmccj
ec        rc        dt
kj        bc        xp
bu        sj        al
qp        od        rc


...then rotating the cube to the original position

oximdlprhjaksgfvebctqwun
ijboahdwhccbrdborscooxjj
ajrwitcojpcxgmpjdatyrcll

ox        ij        aj
mi        ob        wr
dlprhj    ahdwhc    itcojp
vfgska    obdrbc    jpmgxc
eb        rs        da
tc        oc        yt
qw        ox        rc
nu        jj        ll


writing them on the unsolved cube then solving it

sdhtkvqiromuxgfaejlwcpnb
rahoboobwiojjdbcrchxcdjs
gijyxjrroawljmpcdptctcla

sd        ra        gi
th        oh        yj
kvqiro    boobwi    xjrroa
afgxum    cbdjjo    cpmjlw
ej        rc        dp
wl        xh        ct
cp        cd        tc
bn        sj        al


treating the first line as a cube permutation and [un-]solving the other two lines

catidpmjrpxtwlacrogyljcj
cscarbdhbcbhojidowrojoxj

ca        cs
it        ac
dpmjrp    rbdhbc
calwtx    dijohb
ro        ow
yg        or
lj        jo
jc        jx

jccabbdhbxodojicowhjosrr
lctixpmjrcrcjlapyotjwagd

jc        lc
ac        it
bbdhbx    xpmjrc
cijodo    paljcr
ow        yo
jh        jt
os        wa
rr        dg


none of this seems to produce any meaningful words even if reading in any direction on the surface of the cube

if the second and third line are both part of the message, there must be an additonal step to replace the letters and not simply permute them. There is not enough data for frequency analysis, but roughly mapping the top 6 "cjoradb" to the most frequent letters "etaoins" makes some of the messages almost readable (with phrases like "awaiting you at the temple" scattered around if you squint). Mapping the alphabet, first line and cube to each other, however, keeps it unreadable.

My immediate thought is

an XOR cipher where the first line is the key, the second and third line XOR to each other, and give the plain-text out.

But it just gives you nonsense.

ALL of which are system characters. (Used this to decode this)

19 02  05  05  1b  06  04  00  0b 04  12 0f 02  03  04  01  17  00  09 09 11  1f 14 1e
EM STX ENQ ENQ ESC ACK EOT NUL VT EOT FF SI STX ETX EOT SOH ETB NUL HT HT DC1 US SO RS


Which is nonsense, because you have a text that never ends (1st 02), no SOT's for the 3 EOT's, and the device turns on AFTER a bunch of instructions, which leads me to believe the whole sequence of bytes before that DC1 instruction (190205051b0604000b04120f0203040117000909) is a start up sequence.

if you say the first line is needed to encode the message, then it must be a Vigenere or Variant Beaufort, but they don't do a thing.