IBM Ponder This #186 · October 2013

Color the squares of an 8x8 check-board in two colors (black and white) and calculate the percentage of black squares in every one of the 8 rows, 8 columns and 30 diagonals.

Our challenge this month is to find such coloring which gives the same percentage for every row; different one for every column and as many different numbers in the diagonals as possible.

Supply your answer as 8 lines of 8 B/W characters.

For example, the following is a solution for a 2x2 case of the problem:
BW
BW

The column percentage is 0%, 100%; all rows are 50% and the diagonals has 0%,50% and 100% (each appears twice).

Solution

Best opened after a real attempt

To be added.