Draft:Bpow27

A triomino is an arrangement of three squares with a "corner" as sketched below -- note that the figure may be rotated through any multiple of 90 degrees

What is the largest number of squares on an 8 X 8 checkerboard which can be colored green so that any triomino on the board has at least one of its squares not colored green?

Problem by Alberto L Delgado, from the now extinct Bradley Problem of the Week.