Draw Wings
At a glance of the puzzle, we are given a variety of hand drawings, which are separated into four different columns. In addition to the drawings, there are arrows between pairs of pictures within each column, and what appear to be functional inverse markers (namely the parentheses and inverse symbols). Finally, we have dashes at the bottom of various lengths, which seems to be relevant for extraction.
For now, we focus on the drawings. Noting the title of the puzzle "Draw Wings" and its similarity to the word "drawings", we suspect that the content of the puzzle is punny in nature. Indeed, most of the drawings in the puzzle clue at some form of homophone, with the lengths of the punny homophone given next to each picture. The only drawings that don't have any punny interpretations are the ones at top, which just hint at the respective word directly.
The full list of pun / homophone combos are given below:
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CASHEW (6) | HUM (3) | TIGER (5) | NEIGHBOR (8) | ||||||||
↓ | ↓ | ↓ | ↓ | ||||||||
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WELL BREAD (4, 5) | WHERE WOLF (5, 4) | GUARD ENTRAILS (5, 8) | VAMPIRE SLEIGHER (7, 8) | ||||||||
↓ | ↓ | ↓ | ↓ | ||||||||
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HUNDRED PER SCENT (7, 3, 5) | WELL BREAD (4, 5) | DOOR MOUSE (4, 5) | PAY PER BAG (3, 3, 3) | ||||||||
↓ | ↓ | ↓ | ↓ | ||||||||
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WHERE WOLF (5, 4) | WIKILEEKS (9) | REIGN DEER (5, 4) | WELL BREAD (4, 5) | ||||||||
↓ | ↓ | ↓ | ↓ | ||||||||
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HORSE SHOOS (5, 5) | PAY PER BAG (3, 3, 3) | NO THYME (2, 5) | PI SLICE (2, 5) | ||||||||
↓ | ↓ | ↓ | ↓ | ||||||||
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FISH ROW (4, 3) | NO BUTTS (2, 5) | PI SLICE (2, 5) | SINE LANGUAGE (4, 8) | ||||||||
↓ | ↓ | ↓ | ↓ | ||||||||
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WOK IN THE PARK (3, 2, 3, 4) | DISCREET MATH (8, 4) | KNIGHT CAP (6, 3) | GIVE A DAM (4, 1, 3) | ||||||||
↓ | ↓ | ↓ | ↓ | ||||||||
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PAY PER BAG (3, 3, 3) | SUM BODY (3, 4) | PAR CORE (3, 4) | BASK IN ROBINS (4, 2, 6) | ||||||||
↓ | ↓ | ↓ | ↓ | ||||||||
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KNIGHT CAP (6, 3) | DOOR MOUSE (4, 5) | TIRE RING (4, 4) | HORSE SHOOS (5, 5) | ||||||||
↓ | ↓ | ↓ | ↓ | ||||||||
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PI SLICE (2, 5) | EYE LAND (3, 4) | EYE LAND (3, 4) | DOOR MOUSE (4, 5) | ||||||||
↓ | ↓ | ↓ | |||||||||
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BOOT LIQUOR (4, 6) | TIRE RING (4, 4) | THIS CORD (4, 4) | |||||||||
↓ | |||||||||||
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DOOR MOUSE (4, 5) | |||||||||||
↓ | ↓ | ↓ | ↓ | ||||||||
_ _ _ _ _ _ | _ _ _ _ _ _ | _ _ _ _ _ | _ _ _ _ |
Now, we consider the other elements of the puzzle separate from the drawings. The arrows present in the puzzle hint at some sort of transformation. Given that some of the drawings have inverse symbols, this suggests that the drawings themselves are the transformations, which are applied within each column starting from the top image.
As to what kind of transformation, let's take, as an example, the "NEIGHBOR" chain, which has "VAMPIRE SLEIGHER" / "VAMPIRE SLAYER" as the first punny drawing in the chain. Squinting at the letters, "NEIGHBOR" includes the same "EIGH" chunk as "VAMPIRE SLEIGHER", and the "EIGH" chunk is exactly the part of the word that is different in "VAMPIRE SLAYER". Looking at the other chains, we observe similar cases where letters involved in the transformation appear in the starting words.
This indicates the transformation mechanic -- we treat the changed letters in the drawing as a transformation, which are applied starting from the top to the initial word. Each transformation is applied in place, with the changed letters being swapped out exactly based on the punny / correct spellings. Moreover, there are two possible directions for the transformation -- from the "correct" spelling to the "punny" spelling, and from the "punny" spelling to the "correct" spelling, the latter of which is indicated by the inverse sign.
The full list of transformations are given below:
| Before | After | Transformation | Letters | Before | After | Transformation | Letters | Before | After | Transformation | Letters | Before | After | Transformation | Letters |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
CASHEW | |||||||||||||||
WELL BREAD | WELL BRED | A → _ | CSHEW | HUM | TIGER | ||||||||||
HUNDRED PER SCENT | HUNDRED PER CENT | S → _ | CHEW | WHERE WOLF | WEREWOLF | H → _ | UM | GARDEN TRAILS | GUARD ENTRAILS | _ → U | TIGEUR | NEIGHBOR | |||
WHERE WOLF | WEREWOLF | H → _ | CEW | WELL BRED | WELL BREAD | _ → A | UMA | DORMOUSE | DOOR MOUSE | _ → O | TIGEOUR | VAMPIRE SLEIGHER | VAMPIRE SLAYER | EIGH → AY | NAYBOR |
HORSE SHOES | HORSE SHOOS | E → O | COW | WIKILEAKS | WIKILEEKS | A → E | UME | REIGN DEER | REINDEER | G → _ | TIEOUR | PAY PER BAG | PAPER BAG | Y → _ | NABOR |
FISH ROW | FISH ROE | W → E | COE | PAPER BAG | PAY PER BAG | _ → Y | UMYE | NO TIME | NO THYME | I → HY | THYEOUR | WELL BREAD | WELL BRED | A → _ | NBOR |
WOK IN THE PARK | WALK IN THE PARK | O → AL | CALE | NO BUTS | NO BUTTS | _ → T | UMYTE | PI SLICE | PIE SLICE | _ → E | THEYEOUR | PI SLICE | PIE SLICE | _ → E | NEBOR |
PAPER BAG | PAY PER BAG | _ → Y | CAYLE | DISCRETE MATH | DISCREET MATH | TE → ET | UMYET | NIGHT CAP | KNIGHT CAP | _ → K | THEYEKOUR | SINE LANGUAGE | SIGN LANGUAGE | NE → GN | GNBOR |
NIGHT CAP | KNIGHT CAP | _ → K | CKAYLE | SUM BODY | SOME BODY | UM → OME | OMEYET | PARKOUR | PAR CORE | KOUR → CORE | THEYECORE | GIVE A DAMN | GIVE A DAM | N → _ | GBOR |
PI CHART | PIE CHART | _ → E | CKEAYLE | DOOR MOUSE | DORMOUSE | O → _ | MEYET | TIRE RING | TIRING | RE → _ | THEYECO | BASKIN ROBBINS | BASK IN ROBINS | B → _ | GOR |
BOOT LICKER | BOOT LIQUOR | CKE → QUO | QUOAYLE | EYE LAND | ISLAND | EYE → IS | MIST | EYE LAND | ISLAND | EYE → IS | THISCO | HORSE SHOOS | HORSE SHOES | O → E | GER |
DOOR MOUSE | DOR MOUSE | O → _ | QUAYLE | TIRING | TIRE RING | _ → ER | MISTER | THIS CORD | DISCORD | TH → D | DISCO | DORMOUSE | DOOR MOUSE | _ → O | GOER |
With our four final words, we are now able to extract. We've done enough letter manipulation previously, so we look at semantic meanings this time. DAN QUAYLE is a former US vice president; MISTER is a formal honorific, which is similar to SIR; and someone who is a DISCO GOER would also likely be a DANCER. From this, we form our final homophone pun pair: "DAN SIR" and "DANCER", the latter of which is the final answer to the puzzle.
Authors' Notes
Ever since I found out how to describe a truly tasty bubbly beverage (SODALICIOUS), I've enjoyed tracking down puns and sharing them with friends, usually to their displeasure. After a conversation with Herman, we decided that this could formulate a really funny puzzle, as long as we tightened up the selection of the puns in question (exact or almost exact homophones only, words should be dictionary legal, only puns that are drawable). Rule 2 unfortunately rules out SODALICIOUS, but what can you do.
In the puzzle itself, it is technically possible to get away with performing anagrams at each step, instead of applying the transformations in place only. This does introduce ambiguities, however (e.g. GOER has multiple possible anagrams). Performing the transformations in place only has the neat property of constraining letter placement at certain steps. For example, the transformation SINE LANGUAGE -> SIGN LANGUAGE applied on NEBOR forces G to be at the left most of the string. For cases where this is not constrained, the placement of letters generally results in only one possible correct solution (e.g. TIRING -> TIRE RING can add either ER or RE to a string, but only MIST + ER makes sense.).