Let's imagine an infinite board extended both sides, but bound in the column direction. In this Board, Black has King, Pawn, and Wazir, and White has King and a Wazir with Alfil capture (WcA).
Black
... a b c d e f g h 9 10 11 ...
+---+---+---+---+---+---+---+---+
8 | | | | | w | | | | 8
+---+---+---+---+---+---+---+---+
7 | | | | | | | | | 7
+---+---+---+---+---+---+---+---+ The board extends infinitely
6 | | | | | |WcA| | | 6 to both sides!
+---+---+---+---+---+---+---+---+
5 | | | | | | | | | 5
+---+---+---+---+---+---+---+---+
4 | | | | | | | | | 4
+---+---+---+---+---+---+---+---+
3 | | | k | | | | | | 3
+---+---+---+---+---+---+---+---+
2 | | p | | | | | | | 2
+---+---+---+---+---+---+---+---+
1 | | K | | | | | | | 1
+---+---+---+---+---+---+---+---+
... a b c d e f g h 9 10 11 ...
White
Now, the problem is:
Black to play and checkmate in
w + 15 moves , where w
is the first transfinite ordinal.
Anyone? :-)
Return to Alberto Monteiro's Chess Page
This page was visited
times
Please send any comments to albmont@centroin.com.br
Get your own Free Home Page