Connections is a puzzle from Round 1 of the 2021 Silph Puzzle Hunt. Solvers are presented with a 3x3 crossword grid, and a clue for each row and column. Below, there is a list of clues in a lefthand column, alphabetized in groups of 2-4, and in the righthand column, an alphabetized list of similar clues. There are the same number of entries on either side, hinting that the solver is meant to pair the lefthand and righthand clues together.
Solve Path
The 3x3 grid at the top can be solved with the clues given for it, yielding a 3x3 grid of letters. This will not prove to be useful for a while, but is needed nonetheless.
As solvers fill in answers for the crossword-like clues below the 3x3 grid, they may notice a connection between words answered in the left column and words answered in the right column. Answers in the right column correspond to answers in the left column, minus their first and last letter.
Pairing up each answer in the left column to another answer in the right column and subtracting the letters yields a two letter bigram for each clue. Alternatively, this is just the first and last letter of the lefthand clue, but the lefthand clues are ambiguous enough that a righthand clue pair is often needed to confirm the center letters.
Each of the two letters in the bigrams extracted from the clue pairs is represented in the 3x3 grid solvers filled out at the beginning of the puzzle.
Solvers are meant to draw a line connecting the two letters extracted from each clue on top of the 3x3 grid. Doing so for each group of clues given in the puzzle yields a pictographic representation of a letter. There are 8 groups of clues in the lefthand column, yielding an 8 letter answer.