By dkl9, written 2024-361, revised 2024-361 (0 revisions)
Polyomino puzzles are a type of tiling puzzle, loosely like jigsaw puzzles, which I reinvented some weeks ago. Every day, I intend to publish a new one on my website. This document serves to explain the format.
Once you understand the format, you can jump straight to today's puzzle or yesterday's.
The prompt for a polyomino puzzle is a list of n polyominoes, each one being a set of n square cells, joined edge-to-edge to make a shape. Generally, the puzzles here have n = 6. As an example, here's the prompt for the first puzzle:
You solve the puzzle by arranging the polyominoes to form an n-by-n square, sans overlaps or gaps. Polyominoes may (and often will) rotate from prompt to solution, but will stay in the same plane, sans reflections.
From n polyominoes with n cells each, there are n² total cells. An n-by-n square has n² total cells. Thus it will always be plausible that there exists a solution.
It helps to draw out partial solutions as you think thru them. It helps even more to cut out copies of the polyominoes — paper is easier to prepare, wood is easier to use — to play with physically.
All the rest should be self-explanatory. Go forth and rotate the shapes to fit together.
It should be obvious when you finish correctly. You can see what you missed by looking at "yesterday's solution" the next day.