Editing Cylinder chess (section)

== Related variants ==
{|align="right" border="0" cellpadding="1" cellspacing="0"
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[[Image:Toroidal chessboard.jpg|thumb|right|upright=1.2|Toroidal chessboard]]
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{{Chess diagram small
 |tright
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 |rd|  |bd|  |  |bd|  |rd
 |pd|pd|  |  |  |  |pd|pd
 |nd|  |pd|qd|kd|pd|  |nd
 |  |  |  |pd|pd|  |  |  
 |  |  |  |pl|pl|  |  |  
 |nl|  |pl|ql|kl|pl|  |nl
 |pl|pl|  |  |  |  |pl|pl
 |rl|  |bl|  |  |bl|  |rl
 |Toroidal chess starting position
}}
|}

In '''horizontal cylinder chess''', the first and last ranks of the chessboard are connected. In '''toroidal chess''', the board has the form of a [[torus]] (donut shape). A toroidal board can be formed by connecting the first and last ranks of the cylindrical board.

Horizontal cylinder chess and toroidal chess, unlike cylinder chess, cannot use the starting position of standard chess; otherwise, both kings will begin the game in checkmate. The adjacent diagram shows the starting position for toroidal chess on a standard board. In the starting setup, the rooks protect each other while being threatened by the opponent's rooks. They are supported by the knights on the sides of the board, making their positions more defensible.

On the toroidal board, checkmate is impossible with king and queen versus king,<ref>Е.Я. Гик, ''Шахматы и математика'', Наука, Москва, 1983 (in Russian)</ref> but it is possible with king and two rooks versus king.

Bishops can make null moves in toroidal chess, by moving e.g. c1–d2–e3–f4–g5–h6–a7–b8–c1.
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