Currently, it looks like our next fortnightly topic challenge is going to be about puzzles that I have tentatively called "grid logic" puzzles. A more precise definition would be "abstract puzzles on a grid using a pure logical deduction to arrive at an answer. The answer is a modified version of the original grid satisfying specific properties given by the rules of that specific instance that relate to relative placement of 'objects' (typically either numbers, bars, geometric shapes, or shading squares)."
However, the hypothetical tag grid-logic is extremely similar to the current tag logic-grid, which refers to puzzles with clues like "The Belgian man lives to the left of the person who owns a fish".
So, what tag name should we use for these puzzles? They all share the idea of "logical deductions, usually on a grid", but there are very distinct examples:
- Masyu, in which you have to draw a loop connecting all the circles according to specific rules
- LITS, in which 4 squares have to be shaded in each region to make a tetromino so no two of the same tetromino are touching and no 2×2 squares are formed
- Akari, in which "lightbulbs" acting like chess rooks must light up the whole grid without attacking each other
- Shakashaka, in which triangles must be added to a grid to make all unshaded areas rectangular
- Fillomino, in which a grid must be divided into regions so each number is in a region of its own area, and no two equal-area regions touch
- and many, many more.
What concise phrasing could we use to describe all of these?
All example puzzles here were made by Mathgrant, a writer for GMPuzzles. For more puzzles in this genre, I recommend GMPuzzles, Nikoli, and Krazydad.