Loomlock the daily no-guess loop puzzle

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Loomlock #61, explained

The board from 2026-08-20 — a 6×6 grid of 17 clues — with its finished loop and a walkthrough of how the deduction goes.

The board

This was Loomlock #61, the daily for 2026-08-20: 3 zeros, 7 ones, 4 twos, and 3 threes scattered across 6 rows. Your task was to trace the single closed loop those numbers allow — the cord below is that unique answer, 30 edges long.

00012123331121211

The solved loop for Loomlock #61. Each number is satisfied: it counts exactly how many of its four sides the cord runs along.

How the solve unfolds

Every step below follows by pure logic — no guessing, ever. That is the whole promise of Loomlock: because each board is verified solvable by deduction alone, an edge is only ever drawn when it is provable.

  1. Start at the 0 in row 1, column 6. A zero forbids the loop from touching that cell, so all four of its edges come straight off the board as crosses — no deduction required. The board carries 3 zeros in all, each an instant foothold.
  2. Two 3s sit shoulder to shoulder (row 3, column 3 and its neighbour). The edge they share is forced into the loop, and the two outer edges follow — a classic pattern that cracks the middle of the board open before you have touched a single clue elsewhere.

From there the loop rule finishes the job: at each lattice node the cord either passes straight through or turns, but it can never branch, cross itself, or dead-end, and every clue must end up satisfied by exactly one closed loop. Follow those constraints and the answer above is the only place they can all be true at once.