(Meta-meta puzzle solution)

# Meta-puzzle for Round 4 (M4)

### by Francis Heaney

Tuesday the boss went to see a psychic.

She nods as you enter, looking unsurprised, and gestures you to a seat. "You've come about your boss," she tells you before you can say anything. "I didn't tell him he was going to die, of course. Who wants bad news? I wonder if he could tell, though. Before he left, he gave me this and told me to keep it safe until someone came to ask for it." She hands you a small stack of paper, the top sheet of which has the following on it:

 34 4 28 23 46 32 21 5 29 20 26 18 6 1 39 13 15 19 7 48 40 25 16 30 36 33 8 47 2 45 41 44 27 43 37 22 10 12 14 38 35 3 11 17 24 42 31 9

1. PIQUE
2. ARGYLE
3. TASS
4. HAM
5. WORMS
7. NEXUS
8. DAYS
9. SQUIRM

Filling in the puzzle answers in numerical order into the provided grid gives:

```NUESITRE
QOAMAPDA
SWRMANHU
XEGRIUYQ
DSUMLTSS
EQEAISAY
```

The first letters of the answers read "PATH WINDS," a hint to read a winding path starting from the shaded square. The path reads "Now graph y times x squared equals a squared times a minus y." Graphing the function yx2=a2(a-y) gives you a curve that looks a little like a witch's hat. As it happens, this curve has a name, which is the answer to the metapuzzle: WITCH OF AGNESI.