HEX VS LIUBO
HEX
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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LIUBO
Liubo (Chinese: 六博 or 陸博; pinyin: liù bó; Wade–Giles: liu po; lit. 'six sticks') is an ancient Chinese board game played by two players. For the rules, it is believed that each player had six game pieces that were moved around the points of a square game board that had a distinctive, symmetrical pattern. Moves were determined by the throw of six sticks, which performed the same function as dice in other race games. The game was invented no later than the middle of the 1st millennium BCE, and was popular during the Han dynasty (202 BCE – 220 CE). However, after the Han Dynasty it rapidly declined in popularity, possibly due to the rise in popularity of the game of Go, and it became totally forgotten. Knowledge of the game has increased in recent years with archeological discoveries of Liubo game boards and game equipment in ancient tombs, as well as discoveries of Han dynasty picture stones and picture bricks depicting Liubo players. It is not known when the game of Liubo originated, although according to legend it was invented by Wu Cao (烏曹, called Wu Zhou 烏胄 in the early 2nd century CE Shuowen Jiezi dictionary), a minister to King Jie, the last king of the Xia dynasty, who according to traditional chronology reigned 1728–1675 BCE. While there is no archeological or reliable documentary evidence to support the view that Liubo dates back to the Shang dynasty (1600–1046 BCE), early Chinese records do indicate that Liubo was already a popular game by the Warring States period (476–221 BCE). For example, the Records of the Grand Historian records a speech made during the reign of King Xuan of Qi (reigned 319–301 BCE) that claims that the capital city of Linzi was so wealthy that its citizens were all able to indulge in activities such as playing musical instruments, cockfighting, dog racing, playing Liubo and playing kick ball.