NYT Pips Puzzle Solution: Hard Tier Walkthrough for August 7

Each Friday, the New York Times Pips puzzle invites solvers into a quiet contest between logic and constraint — a grid of colored regions where dominoes must be placed not merely to fit, but to satisfy mathematical conditions that govern every tile. Today's hard puzzle, built on a tower-grid layout with no doubles, asks players to think in sequences rather than moves, trusting that each committed placement will illuminate the next. It is a small theater of deduction, where the rules are fixed but the path through them must be discovered.