The Snake Pattern

Keep your anchored edge in strictly descending order — the largest in the corner, each next tile smaller, down to the smallest at the far end. When the row fills, continue that descending order back along the row above, then fold again, tracing an S across the board. That S is the "snake," and its whole purpose is to line up merges so they chain.

You are looking for a run of tiles where each is half the one before it, hugging one edge. When that run exists, a single slide can set off a cascade: merge the two smallest and the result equals the next tile up, which is now ready to merge, which produces the next, and so on. The signal that a snake is "loaded" is equal tiles sitting adjacent along the chain — that is the trigger.

Ordering also makes the board predictable. You always know where the next tile should go — into the small end of the snake — so you rarely have to think about your big tiles at all. They sit in order, waiting, while you shuffle small tiles into place.

The board above holds a full snake: 1024·512·256·128 across the top, then folding down the right and back as 64·32·16·8. Read it as one continuous descending line that bends once. Now imagine feeding a 2 into the small end and merging upward: 2+2→4, and if a 4 already sits above it, 4+4→8, meeting the 8, and the cascade runs up the chain toward the corner. One slide, several merges, and a fresh large tile at the top — all because the line was ordered before you pulled the trigger.

Think of the snake as a ladder. Each merge at the small end raises a tile by one rung, which lets it join the tile above, which raises that one, and so on. Because the values are already in order, every rung is in place, so a single move can climb several at once. The power is not luck — it is the ordering. An unordered board makes every merge a one-off; an ordered board makes merges compound.

This is also why the snake pays off more on bigger boards. On a 5×5 grid the chain can be far longer, so one collapse leaps you several tiles up the ladder; on a cramped 3×3 there is barely room to fold, so the snake shrinks to a short ordered row and speed matters more than shape. Match the ambition of your snake to the space you have.

Snakes break. A forced move or an awkward spawn drops a small tile into the middle of your ordered chain and the descending run develops a bump. Do not tear it down. The fix is local: work the intruding tile toward the small end where it belongs, merging as you go, while leaving the big end untouched in its corner.

The key is that a snake only needs to be ordered where it matters — the big-tile end near your anchor. The small end can be messy without much cost, because small tiles combine quickly and forgive mistakes. So when repairing, protect the ordered head at all costs and accept temporary disorder in the tail. Rebuild outward from the corner, not inward from the mess.

If all of this feels like a lot to hold in your head, remember the snake is one habit expressed visually: keep your tiles in order, biggest to smallest, and never break the order for a quick gain. The folds, the repairs, the board-size tweaks are detail on top of that single idea. A snake is powerful but rigid, so the companion skill is knowing which merges to take first and which to postpone — that is merge order. And resist forcing your two biggest tiles together before the chain is ready: see don't chase big tiles.