Chessboard and Domino problem

  
Problem


Welcome to the Chess & Go problems... see also the players blog.

Search in the problems  


Last problem posted :


Philip Roe    (2011-01-09 18:56:43)
Chessboard and Domino problem

This is actually very easy once you see it. Wherever you place a domino, it covers one black square and one white. So any number of dominoes covers equal numbers of black and white squares. If the two kings are placed on squares of the same color, the task is impossible.

A variation, that I have not yet tried to solve. If the Kings are placed on any two squares of opposite color, can the dominoes always be placed?




Chess problems :

White #5       (chess)     replies : 10       2022-09-06

White #3       (chess)     replies : 1       2022-08-05

Mate in 3       (chess)     replies : 7       2022-01-12

Mate in 3       (chess)     replies : 1       2021-06-23

Very Easy       (chess)     replies : 5       2018-12-18

Computers fail to solve it       (chess)     replies : 3       2018-01-24

Amazing endgame       (chess)     replies : 7       2017-04-29

The lonely knight       (chess)     replies : 1       2016-02-11

Mad endgame       (chess)     replies : 2       2016-01-06

White to play and win       (chess)     replies : 2       2015-12-22



Go problems :

Killer problem 7       (go)     replies : 9       2019-09-22

Killer problem 1 (correct)       (go)     replies : 5       2013-08-19

Killer problem 3       (go)     replies : 5       2013-07-30

Killer problem 2       (go)     replies : 4       2013-07-30

Killer problem 6       (go)     replies : 3       2013-07-30

Killer problem 5       (go)     replies : 4       2013-07-30

Killer problem 4       (go)     replies : 3       2013-07-30

Can Black do anything?       (go)     replies : 7       2011-08-11

Enjoyable       (go)     replies : 6       2011-03-09

Life and death (5)       (go)     replies : 8       2010-07-03




Display  problem archives , all problems.        



Follow the new problems     RSS feed