Four Grids, Four Kinds of Thinking
Tile Flip, Corner Flip, Sort Quick and Path Find all take place on a small square grid. They look like cousins. They are not — each one trains a genuinely different style of reasoning, and that is the whole reason all four earned a slot.
A games catalogue that included four grid puzzles which all played the same would be padding. We were careful to avoid that. Here is what each of the four actually asks of you, and why we think the set is worth your time as a set.
Tile Flip — solving by sweep
Tile Flip (#16) is our version of the classic Lights Out. Click a tile, it and its four edge-neighbours toggle; turn the whole board dark. Under the surface it is a linear-algebra problem, but you do not need the algebra to play well — you need a procedure. The standard one is "chase the lights" from the top row down, which converts a confusing 25-tile board into a mechanical sweep. The skill Tile Flip trains is recognising that a confusing problem has a hidden procedure, and trusting the procedure even when intermediate steps look like they are making things worse.
Corner Flip — solving by decomposition
Corner Flip (#21) looks like Tile Flip with one rule changed: clicking a tile flips its four diagonal corners instead of its edge-neighbours. That single change does something beautiful — it splits the board into two completely independent sub-puzzles. Imagine the grid as a chessboard; a diagonal move always lands on the same colour, so the "white" tiles and the "black" tiles never interact. The skill Corner Flip trains is the single most valuable move in problem-solving: noticing that one big problem is secretly two small, independent ones. We placed it deliberately close to Tile Flip in the catalogue so that playing them back-to-back makes the difference vivid.
Sort Quick — solving by sequence
Sort Quick (#14) is the 15-puzzle: slide numbered tiles in a 4×4 frame until they read 1 to 15 in order. Unlike the two flip games, Sort Quick has no hidden algebraic structure to exploit — it has an ordering. You must solve the top row, then the left column, then reduce to a 3×3 sub-problem, in that sequence, because solving them in the wrong order creates conflicts you then have to undo. The skill here is planning a sequence of sub-goals and committing to it. Players who solve "whatever tile looks easiest next" thrash; players who follow the corner-first order glide.
Path Find — solving by foresight
Path Find (#25) asks you to draw one unbroken line that visits every cell exactly once. It is a Hamiltonian-path puzzle, and the skill it trains is foresight — specifically, the discipline of not walling yourself off. The killer mistake is creating an isolated pocket the path can no longer reach. Good players solve the constrained cells first (corners have only two neighbours, so the path is nearly forced through them) and keep checking that the un-visited region stays connected. It is the most "look ahead" of the four.
Why the set works
Sweep, decompose, sequence, foresee. Those are four genuinely different cognitive moves, and a player who works through all four grids has practised a small but real toolkit of problem-solving styles. That is the standard we hold ourselves to when we put more than one game of a "type" in an issue: each one has to teach something the others do not. If you want the cleanest contrast, play Tile Flip and Corner Flip one after another — same surface, completely different solution.
Published · 14 May 2026 · Written and signed by Bill