A cylindrical problem by Miodrag Petkovic: Imagine that the board is rolled into a cylinder, with the a-file adjoining the h-file. How can White mate in two moves?
Puzzles
Black and White
By John Griswold White. White to mate in two moves.
No Attraction
Kepler’s second law holds that a line segment connecting an orbiting planet to its sun sweeps out equal areas in equal periods of time: In the diagram above, if the time intervals t are equal, then so are the areas A.
If gravity were turned off, would this still be true?
Black and White
By Sam Loyd. White to mate in two moves.
Math Notes
Prove that log10 5 is irrational.
Black and White
By George Edward Carpenter. White to mate in two moves.
The Suicidal King
Imagine a 1000 x 1000 chessboard on which a white king and 499 black rooks are placed at random such that no rook threatens the king. And suppose the king goes bonkers and wants to kill himself. Can he reach a threatened square in a finite number of moves if Black is trying actively to avoid this?
Black and White
By Hyacinth R. Agnel. White to mate in two moves.
Black and White
By William Anthony Shinkman. White to mate in two moves.
Trivium
The names of two U.S. state capitals end with the same eight letters. What are they?