Silph Puzzle Hunt 2021/Δ

Description

Solvers are presented with rows of clues inside of various boxes, with an enumeration given at the end of each row. After solving all of the clues in a particular box, solvers may notice something about the answers they filled in - Click to revealthe answers seem to come from a small pool of letters, and upon further inspection, may notice Click to revealthe number of occurrences of a specific letter is unique. Alternatively, this same fact can be arrived at by Click to revealsumming the enumerations of each box, and the final enumerations at the end of each row, and noticing that these numbers are all part of a particular sequence

Solve Path

Within each grey box, there is a Triangle number of letters, and each letter is used a different number of times. This fact, along with the title, clues the solver to arrange the letters in each box into a triangle. Reading these triangles from top to bottom yields a word, and when read with other boxes in the same row, form a new clue. The answer to these clues is given by the enumeration at the end of each row. After solving all of these new clues, solvers are meant to repeat the same step, and make a triangle out of the new letter bank. Doing so yields the final answer.