OUK-KHMER VS RITHMOMACHY

Ouk-Khmer (also known as Cambodian Chess) is a chess variant which D. B. Pritchard claimed was played in Cambodia although its actual origins appear to be unknown. Pritchard gives the source as P. A. Hill. It combines elements of makruk and xiangqi. Similar to xiangqi, it is played on the intersections of an 8×8 monotone board (instead of 8×9). Contrary to Pritchard's claim, the actual variety of chess played in Cambodia today, known as "Ok" or "Ouk Chatrang", is nearly identical to makruk. The authenticity of the game described by Pritchard remains doubtful. Pritchard (The Encyclopedia of Chess Variants, 1994) described this game as "an old variant displaying elements of Burmese Chess, Chaturanga and Makruk". However, the rules provided appear to be a hybrid of Makruk and Xiangqi. For example, play on the intersections and the movement of the fish (pawn) follow Xiangqi rules. The advanced placement of the full line of pawns resembles the initial setup of makruk. The naming of the "boat" also follows makruk. John Gollon, the author of "Chess Variations: Ancient, Regional, and Modern", received a description of a chess game in 1969 from a U.S. serviceman who claimed to have obtained the details from a Cambodian born guerrilla officer he was questioning. The serviceman expressed concern that he may have been mistaken about some of the details and Gollon stated that he was never able to confirm the details with an official Cambodian source. He admitted in his letter: “The correspondent later expressed some concern that he may have been mistaken in some details.” In 2007, the English chess specialist John Beasley published a revised edition of late D.B.Pritchard's book (The Classified Encyclopedia of Chess Variants), in which more details from Gollon's letter were given (such as the local names of the chessmen, not included in the 1st edition) and where Beasley expressed his strong doubt about the authenticity of this kind of chess. In reaction to this publication, Beasley was sent information that a set of this chess had made an apparition in an exhibition in Tokyo in 2002 as well as in several Japanese books that preceded or followed, written by Umebayashi Isao and Okano Shin. They could have rediscovered these rules by translating a book bought in Cambodia, where the Elephant could not capture sideways. The names they gave for the chessmen were somewhat different from Gollon (Kwon, Neamahn, Kwo, Seh, Tuuk, Trey as for the table). Umebayashi and Okano designated that game as "shattrong". A photo of a complete set was available showing the 18 pieces on a board with marked diagonals. Beasley published a corrective note in the British specialized magazine Variant Chess (Issue 55, September 2007 and issue 64, August 2010 ) to acknowledge this second “evidence”. He acknowledged that the game is apparently absent "from the streets of Phnom Penh in 2003" and stated that Peter suggested "that this may have been a minor consequence of the mass killings of the Pol Pot era.". The situation has been cleared out in 2012 with the help of a Japanese chess researcher, Yasuji Shimuzu who got in touch with Umebayashi Isao. First, it has been now understood that Umebayashi and Okano's books were simply presenting a reconstruction of the “Cambodian” chess which they had discovered in Pritchard's first edition. As Pritchard didn't name the chessmen in his first edition, the Japanese authors extrapolated the names with the help of a dictionary. No Cambodian books had been consulted and even found. The difference in Elephant's move was simply a misreading. Finally, looking for an illustration, they just set up a set of makruk with additional Fishes and Officials over a facsimile Burmese board that they had and fitted well the size of his chessmen. John Beasley published a corrective note on his website http://www.jsbeasley.co.uk/. His conclusion is that the game described to P. A. Hill in 1969 appeared once more to reduce to a single informant whose statements were at variance with all other known testimony. Moreover, John Beasley has found and proven that the game is flawed if played seriously.

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Rithmomachy (or Rithmomachia, also Arithmomachia, Rythmomachy, Rhythmomachy, or several other variants; sometimes known as The Philosophers' Game) is a highly complex, early European mathematical board game. The earliest known description of it dates from the eleventh century. A literal translation of the name is "The Battle of the Numbers". The game is much like chess, except most methods of capture depend on the numbers inscribed on each piece. It has been argued that between the twelfth and sixteenth centuries, "rithmomachia served as a practical exemplar for teaching the contemplative values of Boethian mathematical philosophy, which emphasized the natural harmony and perfection of number and proportion. The game, Moyer argues, was used both as a mnemonic drill for the study of Boethian number theory and, more importantly, as a vehicle for moral education, by reminding players of the mathematical harmony of creation." Very little, if anything, is known about the origin of the game. Medieval writers attributed it to Pythagoras, but no trace of it has been discovered in Greek literature, and the earliest mention of it is from the time of Hermannus Contractus (1013–1054). The name, which appears in a variety of forms, points to a Greek origin, the more so because Greek was little known at the time when the game first appeared in literature. Based upon the Greek theory of numbers, and having a Greek name, it is still speculated by some that the game originated in Greek civilization, perhaps in the later schools of Byzantium or Alexandria. The first written evidence of Rithmomachia dates to around 1030, when a monk named Asilo created a game that illustrated the number theory of Boëthius' De institutione arithmetica, for the students of monastery schools. The rules of the game were improved shortly thereafter by another monk, Hermannus Contractus from Reichenau, and in the school of Liège. In the following centuries, Rithmomachia spread quickly through schools and monasteries in the southern parts of Germany and France. It was used mainly as a teaching aid, but gradually intellectuals started to play it for pleasure. In the 13th century Rithmomachia came to England, where famous mathematician Thomas Bradwardine wrote a text about it. Even Roger Bacon recommended Rithmomachia to his students, while Sir Thomas More let the inhabitants of the fictitious Utopia play it for recreation. The game was well enough known as to justify printed treatises in Latin, French, Italian, and German, in the sixteenth century, and to have public advertisements of the sale of the board and pieces under the shadow of the old Sorbonne.

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