AGON VS HEX

Agon (or Queen's Guards or Royal Guards) is an strategy game invented by Anthony Peacock of London, and first published in 1842. It is a two player game played on a 6×6×6 hexagonal gameboard, and is notable for being the oldest known board game played on a board of hexagonal cells. Each player has one queen and six guards. Players determine who moves first, then turns alternate. On each turn, a player moves one of his pieces. The object of the game is to be first to maneuver one's queen to the central hex (the throne) at the center of the board, and surround her with all six of her guards. The gameboard may be thought of as a series of concentric rings of hex cells (highlighted by rings of alternating colors). Pieces move one step at a time to an adjacent cell, either sideways in the same ring, or towards the throne to the next ring. The cell moved to must be vacant. Only the queen may move to the throne.

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Hex is a two player abstract strategy board game in which players attempt to connect opposite sides of a hexagonal board. Hex was invented by mathematician and poet Piet Hein in 1942 and independently by John Nash in 1948. It is traditionally played on an 11×11 rhombus board, although 13×13 and 19×19 boards are also popular. Each player is assigned a pair of opposite sides of the board which they must try to connect by taking turns placing a stone of their color onto any empty space. Once placed, the stones are unable to be moved or removed. A player wins when they successfully connect their sides together through a chain of adjacent stones. Draws are impossible in Hex due to the topology of the game board. The game has deep strategy, sharp tactics and a profound mathematical underpinning related to the Brouwer fixed-point theorem. The game was first marketed as a board game in Denmark under the name Con-tac-tix, and Parker Brothers marketed a version of it in 1952 called Hex; they are no longer in production. Hex can also be played with paper and pencil on hexagonally ruled graph paper. Hex-related research is current in the areas of topology, graph and matroid theory, combinatorics, game theory and artificial intelligence.

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