Daniil Frolov wrote on Mon, May 19, 2014 02:36 PM UTC:
An interesting idea came in my mind... Maybe, something alike has already
existed, but i did not see such things.
Consider Rubik's Cube (preferably, of non-standart size - at least 4x4x4),
on wich each square, instead being colored in one of six colors, depicts
certain chess piece of certain side (black or white), or empty. And the
goal of this puzzle is to make a chess problem, solvable for white, on each
of six sides (positions of different sides don't interact, and each side
is a separate board). Of course, each side must contain one black king and
one white king. Thereafter, on the same cube, player can try to reach
opposite goal - make six problems, solvable for black.
As variation, it's not necessary to make the cube's square corresponding
to chess playing space. Instead, it can can correspond to 2x2 area. In this
case, standart 3x3x3 size is enough, as it makes 6x6 boards on each side.