A billiard rack is a rack, usually a triangle, that can hold a certain number of equal size billiard balls, such that the balls' centres cannot move within the rack.

Can the rack be a square, for every number of balls? (For 1 to 24 balls, the answer is yes.)

A billiard rack is a rack, usually a triangle, that can hold a certain number of equal size billiard balls, such that the balls' centres cannot move within the rack.

Can the rack be a square, for every number of balls? (For 1 to 25 balls, the answer is yes.)