Report Bowling for equilateral triangles in New Logic/Math Puzzles Posted June 19, 2018 My try at it Spoiler Consider the middle pin to be any color (since it doesn't matter) so lets say "o". Now consider all the pins adjacent to it and note that the adjacent faces of the hexagon have to have either both be the opposite color of the center or one has to be the same and the other has to be different from the center. There is only one way (really a bunch with mirroring and rotating) that this can be accomplished without creating the same color triangles x x o o o x x No consider the bottom two corners of the larger triangle. They would have to be "o" in the schematic because of the bold underlined "x"s. With both of those the top would have be an "x" because of the largest triangle possible would be the same color but this can not be because the triangle created by the top 3 pins. Therefore this is not possible and this guy is clearly hammered since he couldn't see this.