# Colored trominoes touching corner-to-corner on a grid

Let's have an 8x8 GRID to be filled with L-trominoes of 3 different colors. 64 squares leave room for 21 trominoes, so there should be 7 trominoes of each color and one empty square. Trominoes of the same color are not allowed to touch side-to-side anywhere. In the presented example, there is an empty square in the position B3; trominoes of the same color touch corner-to-corner in two places marked with red. With the empty square in the B2 position (that is, one row higher), can you fill the grid with L-trominoes, such that trominoes of the same color touch corner-to-corner in only 2 places?

• Does this satisfy "trominoes of the same color touch corner-to-corner in only 2 places"? Corner-to-corner touch occurs three times but at two places. (This is not an answer because it has 8 grays and 6 blues) Dec 2, 2021 at 7:52
• The question is specific...only two places is it allowed for trominoes to touch corner-to-corner. In your example you have thee places where trominoes meet corner-to-corner and the number of each color tromino is not equal. Dec 3, 2021 at 3:42