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Solutions for Act V Scene 4 - Junction

The first step for this puzzle is to identify each clued word. It soon becomes apparent that they are all three letters long, and in alphabetical order. In order we get:

ads, age, aid, ali, bra, caw, chi, dee, die, ego, ems, est, ewe, fie, him, hoi, ice, ida, ids, ill, ire, ism, jet, jew, lea, opt, peg, pew, pie, psi, rip, sip, sir, spy, via, web, wit, wye, yes, yew, zit, ziz

The other thing to note is that the clues' initials spell out a message. It says FIFTH WORD, TWELFTH WORD, EIGHTH WORD'S SUCCESSOR. This is referencing our list, so the words BRA, ILL, and the successor of DEE, namely the letter E. Concatenated this gives us the word BRAILLE, which must be an important hint.

Indeed a three-letter word written in Braille would make a 3x6 rectangle of dots, and the provided shape is promisingly 3x6x6 in dimensions. It seems we want to enter these words into the grid somehow. The arrows provide further help here, as they presumably show which direction to enter the words. Strangely though, there are two arrows pointing in perpendicular directions. This then implies a further restriction: that Braille-encoded words must read in both directions simultaneously.

Obviously we want to slot six words in each direction. Since we have 42 words total, it would seem we can't have 6 words read one way and 6 different words read the other, at least without using some words twice. Another solid assumption then is to assume that in fact, the 6 words read one way are the same 6 read the other. This helps deductions greatly and makes the puzzle finally approachable.

At this point some logic-informed trial-and-error must take place, but one can quickly identify useful patterns. A particularly useful approach is to consider pairs of letters taken from the same position in adjacent words. For instance if PIE and CAW were adjacent, the P/C, I/A, and E/W pairs are to be considered. For these to also read as two letters in the other direction, we find only certain pairs fit. Also, one of these pairs must read as themselves when read in the other direction, since the words must overlap each other at some point.

After enough work we can find the seven groups of six that fit into the grid as described. The only ambiguity that arises is PIE/FIE in the first group, and this is resolved when we find only FIE can lie in the second group. Altogether we get the groups:

PIE/CAW/IDS/AGE/EST/WEB
EGO/WIT/HOI/FIE/ZIZ/JET
OPT/IDA/PEW/DIE/SIP/BRA
HIM/ILL/WYE/ALI/YES/AID
SIR/CHI/JEW/EWE/RIP/IRE
SPY/ADS/PSI/DEE/ZIT/PEG
YEW/VIA/EMS/ICE/ISM/LEA

Finally we wish to extract a message from these groups. The diagram has clearly marked in red a 2x3 grid that can be interpreted as another Braille letter. When each group is filled into the giant grid, this highlighted section makes a different letter, and we get C, D, H, I, P, T, and Y. These anagram to give only one word: DIPTYCH, which describes a hinged dual artwork, reflecting the method of filling the grid in this puzzle.

The answer is: diptych