How many queens can you put on a chessboard

Nf5 Na3 5. Nh6 gxh6 7. Bb2 Ng4 8. Bf6 exf6 9. Nf3 Ne3 Nd4 Bc3 Nf5 Rg3 Rb1 f5 Rb6 axb6 Qa3 Qg7 Qb2 h5 Qaa1 f4 Kd2 f5 Qcc3 f4 Qcb3 f3 Ke1 d3 Kf2 d2 Qcc1 Qd5 Qd3 b3 Qbc3 b2 One possible solution is: A list and images!

Improve this answer. Yout Ried 1, 8 8 silver badges 24 24 bronze badges. Daniel Duque Daniel Duque 3 3 silver badges 9 9 bronze badges. Please don't. Take it as an oportunity to see the importance of a good design in puzzle creation and an example of thinking out of the box. Show 1 more comment. Sign up or log in Sign up using Google.

Sign up using Facebook. Sign up using Email and Password. This question has now been answered by Bowtell and Keevash. Although the formula does not give an exact answer, it becomes clear how fast the number of possible formations is growing n gets bigger. Except for a limited number of cases, our formula gives any value for n A very accurate approximation of the number of solutions.

Bowtell began working on the queen problem nearly four years ago — it was one of the main topics of her doctoral research under Kivash. Many avenues for a possible solution turned out to be dead ends. Bautil sometimes felt he had to give up the whole problem. Nothing works. Finally, the puzzle pieces fell into place.

Bowtell and Keevash made extensive use of so-called graph theory, a branch of mathematics with applications in, among other things, decision theory and computer science. Simply put, a graph is a network of nodes that may or may not be connected to each other. Therefore, our methods can be useful in answering similar questions. Hardcore reader. Incurable music scholar. Web guru. Freelance troublemaker. Jun 29, 4. Jun 29, 5. Jun 29, 6. That had that as a puzzle.

There were a few chess puzzles in the game. Jun 29, 7. Jun 30, 8. Here's a 7x7 setup to 6.