DIAMOND VS HEX

Diamond is a two-player abstract strategy board game invented by Larry Back. The invention was inspired by the game Kensington, which uses a similar board pattern and game objective. Rules for Diamond were conceived in 1985 and finalized in 1994. Diamond introduces a new board geometry and neutral pieces, with the aim of enhancing the game dynamic and lowering the potential for draws. Diamond was featured in the February 2013 issue of Games magazine. The Diamond gameboard consists of interlocking squares and triangles. White and Black each control 12 game pieces of their own color. Neutral pieces (red-colored in the diagrams) enter the game via captures. The pieces are played on the line intersections (called points, as in Go). White and black (but not red) pieces can move along straight lines to adjacent unoccupied points. A player wins by being the first to occupy all four corners (points) of a board square with their pieces. Capturing moves are possible in the Movement phase. If the points of a triangle contain exactly one white and one black piece, either player can capture the opponent piece by occupying the remaining open point ("cornering" the enemy piece on the triangle). The captured piece can be cornered on one triangle (see Example 1), or simultaneously cornered on two different triangles (Example 4). The captured piece is immediately removed from the game and replaced on its point by a neutral piece. If a move simultaneously corners two opponent pieces on two different triangles, then neither enemy piece is captured (Examples 2 and 3). A piece can move safely to a triangle point even if the other two points of the triangle are occupied by enemy pieces (Example 5).

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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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