NYT Pips Puzzle Solutions and Walkthrough for Thursday, August 13

Each morning, the New York Times Pips puzzle arrives as a quiet test of patience and logic — a grid of colored regions, numbered dominoes, and layered constraints that ask the solver to hold many truths simultaneously. Today's Hard puzzle, shaped like a J, distills this challenge to its essence: three groups must each sum to fifteen, and every domino placed reshapes what remains possible. In this small, self-contained world, the ancient human pleasure of finding order within limits plays out one tile at a time.