## Blue Ox (Solution)

#### by Eli Bogart and David Farhi

Here is an unordered list of answers to the twenty round puzzles, for reference. The colors identify which puzzle answer this is (e.g. DAMP is the answer to the red/green edge cubelet).
```        RYB   SHLEP
RY    EXTANT
RYG   DEDITION
RG    DAMP
RWG   BOIL
RW    UNARY
RWB   CONTIGUOUS
RB    BASSIST
YB    SLAUGHTER
YG    BEER CHUGGING
WG    EDITH PIAF
WB    CREAM OF TARTAR
OYB   ARMORED RECON
OY    HYPAPANTE
OYG   COMMEMORATIVE BATS
OG    DERRICK TRUCK
OWG   BROWN ROT
OW    ATTORNEYS GENERAL
OWB   SACROSANCT
OB    IMPROMPTU
```

Each face is a different shade of blue. Their hex codes (clued by the title, and visible by looking at the source for the page) are:

```  2001FF 3A00FF 2020FF
0041FF 3A45FF 0420FF
2A20FF 2401FF 3005FF
```

Each non-blue digit takes only 3 values over the whole grid: 0 and two others. So we turn it into four 3x3 grids:

```  232
030
223
```

```  0A0
0A4
A40
```

```  002
442
200
```

#### 4th digit

```  100
150
015
```

Each of these four looks like a tic-tac-toe grid. In each case there is a unique completion of the game assuming optimal play. For example, for the second digit it must be player 4s turn (he has played fewer times). 4 plays in the upper right, then A plays in the lower left, then 4 in the upper right, then A in the middle right. This gives us a string of 4 letters: the 4th letter of the upper right answer, then the Ath (10th) letter of the lower right, then the 4th letter of the upper left, then the Ath of the middle. Those are ECTR.

In this manner the games of tic-tac-toe give:

```EL
ECTR
OOSM
OSIS
```

spelling out the answer, ELECTROOSMOSIS.