Saturday, 20 August 2016

mathematics - Peaceable Bishops on an 8x8 grid


Place an equal number of red, white and black bishops on a 8x8 chess grid, such that no two bishops of different colours attack each other. What is the largest number of bishops you can place? Bonus question: can you add more bishops of one colour?


Here is a similar question with queens: Discrete Peaceful Encampments: Player 3 has entered the game!



Answer



Can this be improved?



14,14,16
$$\begin{array}{|c|c|}\hline A&C&A&&&B&C&B\\ \hline C&A&C&A&B&C&B&C\\ \hline A&C&A&&&B&C&B\\ \hline &A&&&&&B&\\ \hline &B&&&&&A&\\ \hline B&C&B&&&A&C&A\\ \hline C&B&C&B&A&C&A&C\\ \hline B&C&B&&&A&C&A\\ \hline \end{array}$$




No comments:

Post a Comment

Understanding Stagnation point in pitot fluid

What is stagnation point in fluid mechanics. At the open end of the pitot tube the velocity of the fluid becomes zero.But that should result...