Difference between revisions of "Strong connection"
(Re-organization and gave a more self-contained definition (previously "strong connection" and "group" were defined in terms of each other).) |
|||
| Line 1: | Line 1: | ||
A ''strong connection'' or ''virtual connection'' between two (or more) pieces consists of a set of cells that are either empty or occupied by pieces of the same color (the "carrier" of the virtual connection), such that whatever moves the opponent makes in the carrier, it is always possible for the player to respond in the carrier in such a way that the pieces remain connected. | A ''strong connection'' or ''virtual connection'' between two (or more) pieces consists of a set of cells that are either empty or occupied by pieces of the same color (the "carrier" of the virtual connection), such that whatever moves the opponent makes in the carrier, it is always possible for the player to respond in the carrier in such a way that the pieces remain connected. | ||
| − | Virtual connections are not always equivalent to [[chain|actual connections]]. In order to keep their connection, the player has to answer the opponent's threats. The opponent can use this to their advantage, for example by [[stealing territory]]. Playing in the carrier of an opponent's virtual connection is called | + | Virtual connections are not always equivalent to [[chain|actual connections]]. In order to keep their connection, the player has to answer the opponent's threats. The opponent can use this to their advantage, for example by [[stealing territory]]. Playing in the carrier of an opponent's virtual connection is called ''intruding'' on the virtual connection. |
Every [[chain]] is trivially a virtual connection. Virtual connections are often formed by connecting several chains via [[template]]s and [[double threat]]s. A set of virtually connected pieces is also called a [[group]]. | Every [[chain]] is trivially a virtual connection. Virtual connections are often formed by connecting several chains via [[template]]s and [[double threat]]s. A set of virtually connected pieces is also called a [[group]]. | ||
[[category:connection types]] | [[category:connection types]] | ||
Revision as of 21:15, 5 July 2020
A strong connection or virtual connection between two (or more) pieces consists of a set of cells that are either empty or occupied by pieces of the same color (the "carrier" of the virtual connection), such that whatever moves the opponent makes in the carrier, it is always possible for the player to respond in the carrier in such a way that the pieces remain connected.
Virtual connections are not always equivalent to actual connections. In order to keep their connection, the player has to answer the opponent's threats. The opponent can use this to their advantage, for example by stealing territory. Playing in the carrier of an opponent's virtual connection is called intruding on the virtual connection.
Every chain is trivially a virtual connection. Virtual connections are often formed by connecting several chains via templates and double threats. A set of virtually connected pieces is also called a group.
