Loomlock the daily no-guess loop puzzle

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Loomlock #75, explained

The board from 2026-09-03 — a 6×6 grid of 15 clues — with its finished loop and a walkthrough of how the deduction goes.

The board

This was Loomlock #75, the daily for 2026-09-03: 7 zeros, 3 ones, 4 twos, and 1 threes scattered across 6 rows. Your task was to trace the single closed loop those numbers allow — the cord below is that unique answer, 22 edges long.

222012003011000

The solved loop for Loomlock #75. 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 2, column 3. 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 7 zeros in all, each an instant foothold.
  2. The 3 at row 3, column 6 carries the cord on three of its four sides; in the finished loop only its left edge stays open, which pins down the corners around it.

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.