NYT's Pips Game: Daily Hints and Solutions for July 21

Since its arrival in the New York Times games catalogue last August, Pips has quietly posed an old question in new form: how do we navigate systems of constraint? Built on the familiar bones of dominoes but layered with color-coded logical conditions, the game asks players not merely where a tile belongs, but what it must be — a distinction that separates placement from understanding. For those who find themselves caught between the puzzle's demands and its unforgiving all-or-nothing hint system, guides like this one offer a middle path: enough light to keep moving, without surrendering the jo