Inspired by a picture in a book from 1905 which showed a circular chess board in use in the 11th century, Dave Reynolds from Lincoln, England, Great Brittain, invented the modern rules of the game in 1983, and played this with others in a pub in Lincoln. Others followed, and especially in the Lincoln Tap and Spile circular chess became a regular sight. Society had his first world championship in 1996. It is likely that the game seen in the book by Reynolds was Byzantine Chess , or an offspring of Byzantine Chess. The game is played on a cicular board, made of 4 rings of 16 squares each.
Pawns move in a specific direction, and continue to move in that direction.
Also, there is no en-passant capture. There is no castling. It is not allowed to make a move with the rook or queen that ends up on the square where the move started. The rook could move entirely around the board to the place where the rook started, effectively meaning that the move didn't change the position.