Crazy Mathematical Fact of the week

If you don't get the elegance of this, you may continue your life normally. Otherwise, prepare to lift your jaw from the floor.
Syntience Inc.:

“Our logo shows a solution to the famous eight queens problem:

How do you place eight queens on a chessboard so that none can capture any other?

To arrive at this solution you can compute (2⁸ - 1) / (8 - 1) which equals 255 / 7
which equals (rounded to 6 decimals) 36.428571

The eight digits making up that number are the numbers of the rows in which to place 8 successive queens.”

Here's proof that it works:

1   • • • • • • • X
2   • • • X • • • •
3   X • • • • • • •
4   • • X • • • • •
5   • • • • • X • •
6   • X • • • • • •
7   • • • • • • X •
8   • • • • X • • •