An official chessboard is an board containing 64 equal
squares alternating between light and dark, on which the
game of chess is played (FIDE 2023, Article 2.1). An checkerboard
can serve as a chessboard. In chess, the board
is oriented with a light square at each player's near
right corner.
It is impossible to cover a chessboard from which two opposite corners have been
removed with dominoes.
The above plot shows a chessboard centered at (0, 0) and its inverse about a small circle also centered at (0, 0) (Gardner
1984, pp. 244-245; Dixon 1991).
The illustration above shows an infinite chessboard reflected in a sphere.