Chess played on a cylindrical board. To avoid pieces sliding off the board, cylinder chess is usually played on a flat board, with the convention that the left and right sides of the board are assumed to be joined. Since the a and h files are considered to be adjacent, a game of cylindrical chess might begin 1. d4 g6+!, the check being given by Black's f8 bishop. Some players disallow castling in cylindrical chess, but usually all rules are the same as standard chess.

Here is a cylindrical chess problem by Augustus Mongredien:

+---+---+---+---+---+---+---+---+
|   |   |   |   |   |   |   |   |
+---+---+---+---+---+---+---+---+
|   |   |   |   |   |   |   |   |
+---+---+---+---+---+---+---+---+
|   |   |BP |   |   |   |   |WR |
+---+---+---+---+---+---+---+---+
|   |BK |BP |   |   |   |   |   |
+---+---+---+---+---+---+---+---+
|   |   |   |   |   |   |   |WR |
+---+---+---+---+---+---+---+---+
|WK |   |   |   |   |   |   |   |
+---+---+---+---+---+---+---+---+
|   |   |   |   |   |   |   |   |
+---+---+---+---+---+---+---+---+
|   |   |   |   |   |   |   |   |
+---+---+---+---+---+---+---+---+
White is to move and checkmate in two. Here's the solution, printed backwards: knar htfif eht ot koor emas eht evom, sevom kcalb retfa; detrats ti erehw sdne ti taht os yllatnoziroh serauqs thgie knar htruof eht no koor eht evoM

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