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A History of Backgammon

by Mark Driver

       From Genesis to Revelation: The Evolution of Backgammon and theFactors
                                 influencing its Popularity & Longevity.
 

      Abstract:Backgammon,A Global Cultural Phenomenon

      The ancient game of backgammon is aninveterate recreational pursuit for millions of people throughout the FourCorners of the
      globe. The fundamental format of thegame, is essentially a contest between two opponents who each race 15checkersaround a
      prescribed track of twenty-four pips,framed within a rectangular board. The first contestant to remove all theirpieces from the board
      secures victory. The movement of thecheckers is governed by chance engendered by the numbers generated by aroll of two die.
      The game enjoys no political orlinguisticboundaries: from the deserts of Arabia to the rainforests of the Amazonthe game's
      popularity encompasses every continent.Indeed, it is not uncommon to find scientists based in Antarctica ensconcedin a
      backgammon battle against geographicallydistant opponents thanks to the advent of the Internet game servers. Thisarticle
      attempts to provide a concise overviewof the evolution of the game from its nebulous origins in the Middle Eastto the virtual
      gaming arenas of the 3rd millenniumA.D. In addition, the piece will attempt to assess the historicsocio-dramaticfactors, which
      have influenced the popularity of thisfascinating game.

                                         'We go out in the world and take ourchances
                                            Fate is just the weight of circumstances
                                             That's the way that lady luck dances
                                                     Roll the bones'(1)
 

      The Genesisof Backgammon

      Recreational board-games employing skilland/or chance are an almost universal feature throughout the panoply ofglobal
      civilization. The existence of suchgames can be traced back thousands of millennia B.C. to the ancient culturesof the Middle East
      and Asia. However, the specific originsand the dates of their invention remains shrouded in the mists of time.The answer to the
      question 'why were board games originallyinvented?' has proven to be an even more elusive 'Grail' quest for manyhistorians.
      Various commentators(2) have suggestedthat the concept of board-games was originally derived from other gamesof chance,
      which in turn had their origins in thedivinatory use of the arrow head. Other historians perceive their originto lie in the realm of the
      occult.(3) In general, commentatorsattribute the origins of backgammon to the ancient board-games played bythe Egyptians,
      Sumerians, Romans and Persians.
 

      A number of wall-paintings discoveredwithin various Egyptian temples and tombs contain illustrations of personsplaying
      board-games. The illustrations havebeen typically dated at around 2500 B.C. One such game with similaritiesto the modern
      physical format of backgammon is thegame of Sen't or Senat. Actual game-boards and assorted gaming paraphernaliawere
      discovered in a number of Egyptian tombsdating from the First Dynasty to the Twelfth Dynasty (3000 - 1788 B.C.).(4)Though the
      physical design of the games varied,they invariably fell into the classification of 'race' board-games. Theformat of the boards
      typically comprised of a matrix of squarecells, some of which bore distinctive insignia. Relics of playing piecesaccompanied some
      boards though the number of piecescomprisinga full set is unknown. The original rules of Senet remain a mystery asno
      documentary record of authentic ruleshas been discovered to date. Despite the impossibility of reconstructingthe games from
      incomplete relics and two-dimensionalimages from tomb walls, a number of enthusiasts have attempted to completethe arcane
      jigsaw.(5) It should be noted however,that no evidence exists that the game involved the use of 'dice'.

      In 1926 a joint expedition between theBritish Museum and the University of Pennsylvania Museum, led by the Britisharchaeologist
      Sir Leonard Woolley discovered fourwooden game-boards amongst the treasure troves of Ur al Chaldees, theancientcultural
      centre of Sumer. Two of the board-gamesconsisting of a matrix of twelve squares have been dated at around 2600B.C. Sets of
      'checkers' and two sets of threetetrahedraldie were also discovered at the site.(6) These 'Royal Games of Ur' areregarded as
      strong candidates as the harbingersof modern backgammon though the precise rules of the game remain unknown.(7)
 


 
       Lacta aleaest. - The die is cast

      The legacy of the Roman Empire containsartifacts of the board-game 'Ludus Duodecim Scriptorum', now popularlyknown as 'the
      game of the twelve lines'. Examplesof leather game-boards(8) have been found dating from around the secondcentury A.D.,
      though literary references provideevidenceof the game's popularity prior to this period.(9) Interestingly, some boardswere
      discovered with sets of 30 'checkers'consisting of 15 ivory, and 15 ebony pieces(10). Evidence suggests thatchecker movement
      was governed by roll of three die, andexamples of game-boards dated around 600 A.D., have been found accompaniedby a set of
      six cubic die.(11) The game was possiblyderived from the Egyptian Senat possessing a similar matrix of 3 x 12points,and
      Murray(12) is of the opinion that thegame is a replica of the Greek 'Kubeia', which Plato assigns to Egyptianorigin.

      Around the first century A.D., a newvariant of Ludus Duodecim Scriptorum appeared in Rome in which the 3rdrow of 12 points was
      omitted. The generic term of 'Alea'which originally meant - 'the art of gambling with dice' - became attachedto the new variant.
      Documentary evidence illustrates thatAlea had become a popular pastime by the First century AD, at which timeit was the favored
      game of Emperor Claudius who is reputedto have written a manuscript on the game.(13) As the game increased inpopularity the
      generic term of 'Tabula', meaning -'Board' - became common currency, though the two names coexisted long intothe new
      millennium. The reformation of thegame-boardto 24 points makes Alea a strong candidate as the first true precursorof
      backgammon. Documentary evidence(14)demonstrates that the game originally commenced by the players castingdice to enter
      their 'checkers' on to the board, acharacteristic featured in the rules of many contemporary backgammonvariantsincluding
      Acey-Deucy, and Puff. However, followingdiffusion of the game throughout Asia and Europe, variations in the initialstarting
      positions of the game were manifest.
 

      In Persia, the game of Nard was playedon a board of similar design to Alea, the significant difference beingthe use of 2 die to
      govern the movement of checkers. Setup of the modern game is identical to backgammon with play commencing froma fixed
      arrangement of the checkers on the board.References to Nard are found in the Babylonian Talmud which was compiledaround 500
      A.D. Murray(15) notes that popularetymologyascribed the invention of the game to Ardeshir (aka Artaxerxes), the founderof the
      Sassanian dynasty in 224 A.D. The gamealso became known as 'Nardshir' throughout the Middle East (aka Nardeshir,and
      Nard-i-Shir). Nard was a generic Persianname for wood or wooden products, whilst shir means lion. Murray considersthat the
      suffix 'shir' is attributable to thefact that the checkers of Nard were often carved in the shape of lion heads,though an alternative
      interpretation is that the suffixacquiredcommon currency through the association of Ardeshir with the game. Withintwenty years,
      Ardeshir (224-241) created a vast empirethat stretched as far as the Indus, which may account for a reference byAl-Ya Qubi(16)
      that, professes Nard to be an Indianinvention.(17) Al-Ya Qubi attributes a cosmological symbolism to the designof the board and
      its appurtenances:

      'The board represents a year; each sidecontains 12 points for the months of the year; the twenty-four pointsrepresentthe hours
      in a day; the 30 checkers representdays of the month; the sum of opposing sides of the die represent the 7days of the week; the
      contrasting colors of each set ofcheckersrepresent day and night.'

      Ardeshir's son Shapur I (241-272)continuedthe expansion of the Sassanian Empire, which lead to several militarycampaigns
      against Rome around 259 A.D. The contactbetween the two cultures may have provided an opportunity for theintroductionof the
      rules of Nard into the Roman game ofAlea. However, the tangled web of inter-cultural relations set in thedistantpast precludes an
      accurate assignment of credit for theoriginal invention of backgammon's immeadiate ancestor.

      Dissemination,Diffusion and Metamorphosis

      The renowned historian Sir John Myersnoted that much of our written history concerns the documentation ofchange.(18)The history
      of board-games clearly illustrates adistinct paradigm whereby a parochially successful game is rapidlydisseminatedfrom its
      source of invention to neighboringcentresof culture.(19) The opportunities for dissemination increase with theenhancedmobility of
      the populace, for example throughdevelopingtrade routes and political empire building. As board-games become entrenchedin
      the social fabric of neighboring culturesthe opportunities for further dissemination on an increasingly widergeographicscale
      accrue. Developments in transport andmilitary technology, such as the utilization of horses and horse drawnvehicles by the various
      militaristic dynasties of Asia and theLevant, facilitated the rapid promulgation of social paradigms acrossdisparatepolitical and
      theological ideologies.

      The dissemination of secular conceptswas generally confined to the oral tradition prior to the invention ofthe printing press. As
      board games became distributed far andwide from their original source, so the opportunities for modificationincreased. It is highly
      likely that the inherent complexitiesin the translation of the spoken word, from one language to another,facilitateda diffusion of the
      oral rules of games. In the culturalmelting pots of the Medieval Middle East, the intricate nuances of myriadlanguages and dialects
      engendered significant opportunitiesfor disparity in the interpretation of the rules. Further incrementalchangesin the minutiae of the
      rules would be inevitable as thetraditionswere passed down intergenerationally by word of mouth.

      The material format of the games, howeverwas less prone to accidental modification as gaming boards tended to beconstructed
      of durable and easily replicatedmaterialssuch as stone, wood or leather. It is likely that these factors accountfor the rich diversity in
      backgammon variants which share thecommon physical format of a board divided into four quadrants eachcontaining6 pips, and
      two sets of 15 distinctly coloredcheckers.The evolution and metamorphosis of recreational games is a common cultural
      phenomena; for example the contemporarygame of chess is significantly different to the modern game of Japanesechess yet both
      variants share the same ancestralunderpinningsin the ancient game of Chinese chess.(20)

      Exodus ofBackgammon

      The exact origins of a particular gameand the historic passage from its source to distant communities may beobscured by the filter
      of time. However, the name adopted bythe subsequent players for the game may provide a valuable clue to assistin determining
      the game's immediate cultural source.The legacies left by ancient civilizations of the 'Old World' have proveda veritable treasure
      trove of information. Artifactsdiscoveredat various sites throughout Asia illustrate that board games formed asignificantcultural
      component of life during those times.Far beyond the geographical boundaries of Egypt, Sumer, Persia and Rome,examples of
      similar boards provide solid evidenceof the gradual progression of theie board-games northerly into Europe andeastwards
      through Asia.

      Conquering Roman legionaries transportedAlea to the farthest frontiers of the Roman Empire where the game'sfascinatingallure
      was not lost on the local populace.Murray argues that the adoption of the generic Roman name of 'Tablula'(aka Tables), by local
      cultures provides evidence that theexistence of these games was unfamiliar in Northern Europe prior to theRoman invasion.
      Tabula also reached Arabia by Romanexpansion into the Middle East during the first century A.D.

      By a similar modus operandi, board-gamespopular within the Muslim cultures of Arabia were disseminated to the localpopulace
      under the aegis of the Muslim empire.However, the Arabs had probably first come into contact with the game ofNard after their
      conquest of Persia in 631 A.D. Throughtrade routes and military campaigns, the game of Nard spread Northwardsinto Georgia
      and Easterly to arrive in Northern Indiaduring Sassanian rule in Persia.(21) In turn the game spread from Indiato China where it had
      become known as Shwan-liu (meaning'doublesix'),(22) by 700 A.D.

      A major distinction between Tabula andNard was the latter's use of two die. The period of the European Crusadesaround the 12th
      century facilitated further culturalinterchange and following the Crusaders return to Europe, the use of 2die for playing 'Tablula'
      became increasingly common.

      According to Murray, the modern versionof backgammon (as opposed to Tables) can be traced to the mid-17th Century.Murray
      notes that Backgammon was distinguishedfrom Tables by virtue of the introduction of the contemporary norm ofplayingdoubles
      twice.(23) It has been suggested thatthe modern term of 'Backgammon' was coined from the Welsh words 'bac' (akabach), and
      'gammon (aka 'cammaun') which translateto 'little battle'. However, Jacoby and Crawford(24) note that the namecould be derived
      from the 'Olde' English words 'baec'and 'gamen' meaning 'back game'. An equally plausible explanation couldbe the historic
      tradition whereby backgammon boardswere found on the reverse side of Chess boards, hence - the game on theback (of the
      chessboard).

      Evolution &Standardization

      Johann Gutenberg's invention of theprintingpress in 1436 marked a revolution in media communications. The printingpress greatly
      facilitated the accurate communicationof ideas and concepts both within and between temporally and spatiallydistant communities.
      As the printed word became accessibleto a progressively wider audience, the opportunity for accidental changediminished.
      Furthermore, the dissemination of thewritten word was no longer a monopoly held by the ecclesiastical sector.As the
      dissemination of ideas becameprogressivelyeasier and cheaper, authors were able to cater to the growing secularinterestsof the
      populace. A raft of publications devotedto recreational games started to appear in Europe from the 15th centuryonwards.(25) The
      historic social commentaries onbackgammonauthored by James Balmford;(26) and Daniel Bellamy;(27) and the moretechnical
      works of Edmond Hoyle(28) provide ampledocumentary evidence of the popularity of the game in Britain from theMiddle Ages to
      the era of the Industrial Revolution(29).

      A sound argument can be made that theperiodic publication of new texts devoted to specific recreational gamesprovides a fairly
      accurate indicator of their sustainedpopularity. From this premise, it can be demonstrated that backgammonsustaineda reputation
      as one of the most popular parlor gamesof the British literate classes from the Middle Ages until the latter halfof the 19th century.
      Other popular games in Britain duringthis period included Chess, Draughts, (aka Checkers), Dominoes and Whist.

      Despite the close proximity of Britainto mainland Europe, documentary evidence suggests that distinct backgammonvariants -
      each possessing an idiosyncratic bodyof rules - remained a parochial favorite pastime from the Mediterraneanto Scandinavia.
      Throughout the diversity of Europeanculture, specific variants were adopted by the locals as their favoredgame of choice.
      Murray(30) notes that around 25 distinctversions of the game were evident throughout Europe during the Middle Ages.Around the
      Mediterranean for example, variantsin which the game commenced by 'bearing in' checkers, or in which the gamebegins with all
      checkers stacked on the respective'ace-points',became firmly entrenched in the local culture. In France, the cognoscentipreferred
      the comparatively complex rules of thebackgammon variant Tric Trac. From the 17th century onwards, the literaryworks of
      numerous French authors provided averitablewealth of information on this significant variant.(31)

      At the turn of the 3rd millennium, thephenomena of 'standardization' permeates almost every aspect of our dailylives. The printing
      revolution facilitated an incrementaladoption of standardized rules throughout societies. As the rules of gamesbecame accurately
      enshrined in print, the opportunityfor accidental modification of the rules diminished. The profusion ofprintedmatter on
      backgammon served to 'market' the gameto an ever increasing, and more widely distributed audience. A larger,and increasingly
      more affluent and literate populationprovided a strong potential readership base to further motivate the nascentpublishing industry.

      Dynamism andPopularity

      Human nature is not entirely adverseto change. The deliberate modification and evolution of recreational games,to improve upon
      the status quo (or merely change forchange sake), has remained a healthy phenomena to the present day.Certainly,slight or even
      radical changes to the rules of a gamecan act as an invigorating tonic to revive interest where a game has becomestale through
      stasis. For example, it is debatablewhether backgammon would enjoy its present popularity in the 'Western world'were it not for the
      innovative introduction of the doublingcube during the 1920's. Perhaps it is no coincidence that around a decadeearlier
      Holzhausen(32) professed that the popularlongevity of a board game was dependent on the element of skill involved.For
      Holzhausen, a strategy game whose outcomewas dependent on the skill of the players would only survive if the skilllevel necessary
      for an opponent to prevail was suchthat only slight errors could lead to the loss of the game. It is arguablethat the introduction of the
      doubling cube significantly enhancedthe element of skill in the game so increasing its marketability in anincreasingly competitive
      leisure market.

      A further factor, which impacts uponthe popularity of a particular game, is the competition posed by similarrecreational pursuits. A
      game that is dull or has become staleovertime will inevitably suffer once a more interesting competitor isintroducedto the market.
      Newly introduced games may provide agreater challenge, for example requiring a player to master a broader rangeof skills to
      prevail over their opponent. New gamesmight also offer a novel sensory stimulus, provide greater thrills throughincreased
      opportunities for gambling, or facilitateincreased social interaction by enabling more players to participate inthe proceedings.
      From a historical perspective, thepopularityof backgammon in the 'West' has clearly waxed and waned in tune to bothnational and
      international developments inrecreationalpursuits.

      In 1930, Boyden(33) reflected thatbackgammonwas one of the most fashionable games of England at the end of the 19thCentury,
      attributing its popularity to the extantprejudice against card games of that era. The early years of the 20thCenturywitnessed
      significant social change in WesternEurope, and during this period the social stigma attached to card gameswere quickly eroded.
      With the increased competition fromcard games (particularly Bridge which was rapidly eclipsing the popularityof Whist due to the
      increased skill factor), the popularityof backgammon waned significantly. The introduction of the popular orientalparlor game of
      Mahjong to Britain around this periodalso impacted negatively upon the popularity of backgammon(34).

      Boyden's book is but one example of aswarm of texts published around 1930 by publishing houses hungry tocapitalizeon the
      surge in demand for information onbackgammonafter its return to popularity in both the USA and Britain. The numberof
      backgammon texts (around 20 titles),(35)published from the late 1920's to the early 1930's almost rivals the halcyondecade of the
      1970's in prolificacy. Perhaps it isno coincidence that renewed enthusiasm for the game was immediately precededby the
      changes in rules concomitant with theanonymous introduction of the doubling cube to the game.

     Table 1 - Historic Distribution of English Language Backgammon Publications. (Note that the 'non-mass media' titles
     such as the self published texts of inter alia Danny Kleinman are not included)

      A New WorldOrder

      The global political turmoil of the 1940'smarked an end to the 'Western' backgammon renaissance of the previousdecade.The
      number of new publications graduallytrickled to a halt in the decade following the Second World War. In 1960,Robert Charles Bell
      commented that:

      "Pamphlets of rules can be bought inthe better games shops in England, but few sell boards or pieces;occasionallythey can be
      found in antique shops. The seller maybe unaware of their purpose!".(36)

      It is significant to note that 1947 markedthe birth of the 'modern' Pinball machine (a derivative of the 18th centuryFrench game of
      Bagatelle) following the addition ofthe 'flipper' by the Gottlieb company.(37) The 1950's and 60's witnesseda massive surge in
      popularity of the Pinball gameparticularlyamong the younger generations hungry for new sensory stimuli. Backgammonhad clearly
      become stale and largely ignored pastimein the eyes of the young.

      Throughout the ages backgammon hasconsistentlyproven to be a fascinating recreational pastime capable of captivatingthe
      hearts and minds of generations of casualand serious game enthusiasts. In the 'New World Order' of the post-war20th century the
      power of marketing fueled by everincreasingdevelopments in media communications, facilitated a resurgence of interestin the
      game from the mid-1960's.

      The initial resurgence in the popularityof backgammon in the post-war years has been traced to the efforts of PrinceAlexis
      Obolensky during the 1960's. PrinceObolensky promoted the concept of invitational tournaments and wasinstrumentalin
      establishing an 'official' formal WorldChampionships for the game in 1964. Competitiveness has long remained astrong and
      compelling force in both the human andnon-human kingdoms. The kudos attached to an individual's high performancein such
      events combined with the attendant allureof big prize money proved to be a fine recipe for success. From themid-1960's,
      participation in International andnationalbackgammon tournaments steadily grew. By the 1970's the social status ofthe
      participants had broadened from theprivileged elite to include a more diverse range of individuals from thelesser privileged
      classes. The 1970's renaissance wasmarked by a further boom in backgammon publishing. The 1969 publicationof Prince
      Oblensky and Ted James', 'BackgammonThe Action game sparked an enfilade of backgammon texts by the majorpublishing
      houses of the United States and Britain.
 
  

      In contemporary times, commentators havecome to regard the 1970's decade as the 'heyday of backgammon'.(38) The
      subsequent demise in the game'spopularityin the 'West' may have been partly due to the new competition for ourleisuretime
      posed by the nascent video gamesindustry,which offered another new sensory stimuli with Atari's release of the firstcommercially
      successful(39) video arcade game'Pong'(40)in 1973. Subsequent whirlwind developments in video technology facilitatedan
      onslaught of progressively more popularvideo 'arcade' games spearheaded by the phenomenally popular 'SpaceInvaders'(41)and
      'Pac Man'(42) (the most successful videoarcade game of all time) in 1978 and 1980 respectively. Capitalizing uponits success in
      the arcades, 'Home Pong',(43) (andboostedby a drop in price of microchips), exploded into the living rooms ofmillionsof baby
      boomer consumers in 1974.(44)
 

      The Revelationof Backgammon

      The 1980's witnessed a rapid end to the'gammonmania' of the preceding decade. Bower(45) notes that the gamesufferedthe
      demise typically associated with a 'fad',as the rapid attrition of players was not replenished with new blood andthe mass media
      publicity disappeared. It is highlylikely that backgammon had become a stale game in the eyes of 'X generation'teenagers whose
      leisure time was often spent entrenchedin the Video arcades or sat transfixed before their home-video gameconsoles.Despite
      backgammon's fall from the limelight,a steady stream of 'academic' texts(46) catered to a niche market ofhardcorebackgammon
      enthusiasts throughout the decade andinto the 1990's.

      Despite the negative impact of the videogames on the popularity of backgammon, developments in the video gamesindustry were
      largely responsible for the widespreadacceptance of computers by the public. The computer age would prove tobe a blessing in
      disguise for the popularity of backgammonin the 'West'. Progressively more powerful home computers at increasinglyaffordable
      prices engendered a computer literateconsumer base for the burgeoning Information Technology industry. Throughthe maelstrom
      of new computer games, (most of whichpassed in and out of vogue in the flash of an eye), traditional board-gamesfound their way
      into the new market place to establisha firm foothold in the virtual landscape.

      Advances in computing technology such asthe development of 'Artificial Intelligence' paid unexpected dividendsto the
      backgammon community(47) as a successionof 'Robot' players and software products were released into a global marketplace
      and on to the Internet. The releaseof 'Hi-Tec' backgammon software(48) opened the door to the previouslyelusiveand hallowed
      realm of theoretically 'expert play'to all those willing to pay the modest price for admission. Meanwhile,the media revolution of the
      Internet dissolved spatial barriersenabling scientists in Antarctica to pitch their skill against Bedouinsin Arabia within the virtual
      gaming colloseums of cyberspace. Perhapsmore importantly, the silicon chip had enabled backgammon to branch outfrom its
      inveterate physical format to find ahome in the hearts and minds of the children of the new revolution.

      CopyrightMark Driver 2000. 
      
     Artwork of Senet, Royal Game of Ur and Tabulae, copyright Dean Kezan2000.
     Dean's 'Active Backgammon Desktop Theme' honourware can be viewed anddowloadedfrom the following link;
     http://www.kezan-design.com/backgammon/theme.htm

      Reproductionof this article in whole or in part, is not permitted without prior writtenpermission from the author.
 
 

       Appendix1: Substantive Backgammon Variants

      Although the physical format of the gameis common throughout the world, a multitude of backgammon variants isextant.Such
      variations include major differencesin the initial set up of the checkers (either on or off the board) andthe movement and action of
      the checkers throughout their journeyto the bear off. Other minor disparities include the rules governing thephysical etiquette for
      casting of the dice and the movementof checkers on the board.

      A comprehensive description of the fullpanoply of backgammon variants would fill an entire book and was certainlybeyond the
      scope of this article. However a briefand select overview of significant variants is provided below:

      Acey-Deucy:A further variant from the German 'Gegenpuf',(49) popular with the UnitedStates Navy,(50) In which the game
      commences by bearing in checkers intothe respective home boards of each opponent. Checker movement follows anopposing
      path as in regular backgammon and Blot may be hit after which they must enter from the bar. Distinct rules applyto the movement
      of checkers, and the roll of 2-1 receivesspecial treatment whereby the player is entitled to a complex series ofcombination moves
      and a further throw of the dice.

      Moultezem;is a variant popular amongst the Levantine. The initial set of the boarddiffers significantly from other variants in that
      each side's inner boards are diagonallyopposite. All checkers start on the board stacked on the respectiveace-pointsfor each
      player, and are raced around 24 pipsto bear off in the respective home-boards for each side. Significantvariationsto the rules of
      standard backgammon include: blots cannot be hit and taken to the bar; initial progression of the checkers isrestricted until the first
      checker has passed the opponent's'ace-point';and primes are restricted to four points in each player's outer table.(51)

      Plakoto;is a further variant popular in the Levant. Play commences with all 15checkers stacked opposite each other on the
      respective ace-points of each playeri.e. both columns will appear either to the right or the left of each playerdepending upon their
      perspective). The flow of the checkeraround the board is similar to regular backgammon, however after a hit,blots are not captured
      and taken to the bar, rather theyremainedin a state of paralysis until the opponent has removed the attacking checkerfrom the
      Point occupied by the blot.(52)

      TricTrac;invented in France around 1500.(53) Play commences with 15 checkers stackedon each opponent's ace-point. Though
      similar to backgammon, Tric Trac isnot fundamentally a racing game, as points are scored for making prescribedplays and
      achieving specific positions from thepossible combinations permitted by the throws of the dice. However, theend game is similar
      to backgammon in the bear off stage.Checker movement is governed by a number of specialized rules;(54) forexample a checker
      may not move to or pass over a pointoccupied by one or more of the opponent's checkers. Games are won by thefirst player to
      attain a score of 12 points. A TricTrac match typically consists of twelve games of twelve points.

      Other noteworthy backgammon variantsinclude inter alia; Domino Gammon; Misere Backgammon (aka Anti-backgammon);
      Nackgammon; and hypergammon.
 

       Appendix2: Select Bibliography & Further Reading: Articles published on theInternet
 

      Chuck Bower, '(20th Century) Historyof Backgammon' published on GammOnline August 1999 edition
     http://www.gammonline.com/members/Aug99/articles/chuck.htm

      Michael Crane, 'Tavla in Turkey' (firstpublished in Bibafax No 35, July 1996) reproduced on the Mind SportsOlympiadMindzine at
     http://www.msoworld.com/mindzine/news/classic/bg/tavla.html

      Mark Driver, 'Historic Origins ofBackgammonin Britain, including a Review of Edmond Hoyle's 'A Short Treatise On theGame of
      Back-Gammon' published atGammonvillage.comhttp://www.gammonvillage.com/news/article_display.cfm?resourceid=433

      Dean Kezan, "Backgammon Game Or...'publishedon Kezan Design homepage at http://www.kezan-design.com/backgammon/

      David Levy, 'History of Tric Trac' &Rules of Tric Trac, published on the Tric Trac Homepage athttp://www.best.com/~dlevy/trictrac/

      James Masters, 'Backgammon - Historyand Useful Information', published at The Online Guide to Traditional Games
     http://web.ukonline.co.uk/james.masters/TraditionalGames/Backgammon.htm

      Catherine Soubeyrand, 'The Royal Gameof Ur', published at Gamecabinet.comhttp://www.gamecabinet.com/history/Ur.html

      Catherine Soubeyrand, 'The Game of Senet',published at Gamecabinet.com http://www.gamecabinet.com/history/Senet.html

      Michael Strato, 'History of Backgammon'published at Gammonvillage.com
     http://www.gammonvillage.com/news/article_display.cfm?resourceid=38

      Kit Woolsey, 'Computers and Rollouts'published on GammOnline, January 2000 edition, at
     http://www.gammonline.com/members/Jan00/articles/roll.htm

      Footnotes

      1 Neil Peart - Core Music Publishing1991
      2 See for example, Stewart Culin, 'Chessand Playing Cards', (Washington, 1898).
      3 See for example, Nigel Pennick, 'Gamesof the Gods: The Origin of Board Games in Magic and Divination', (Rider,London,
      1988).
      4 For a detailed description andillustrationsof these games see for example, Catherine Soubeyrand, 'The Game of Senet',
      published at Gamecabinet.com.
      5 Conjectural rules for the game ofSenat have been published by: Timothy Kendall, published in Jean MarieLhote, 'Historie des
      Juex de Societe', (Flammarion, 1994);and Robert Charles Bell, published in R. C. Bell, 'Board and Table Gamesfrom Many
      Civilizations', (Oxford University Press,London, 1960). A summary of the work of Kendall and Bell is reproducedin Soubeyrand,
      note 4 above.
      6 Sir Leonard Wooley, 'Ur, the firstPhase', (Penguin books, London, 1946), at 35.
      7 Conjectural rules for the Royal Gameof Ur have been published by Robert Charles Bell, in R. C. Bell, 'Boardand Table Games',
      (Oxford University Publishing, 1969).
      8 A leather board dating from themid-secondcentury is housed in the National Museum of Wales.
      9 See for example H. J. R., Murray,'A History of Board-Games other than Chess', (Oxford University, ClarendonPress, 1952), at
      29.
      10 W. B. Emery, 'Nubian Treasure' (London1948), at 20.
      11 W. B., Emery, note 10 above, at 46.
      12 H. J. R. Murray, note 9 above at24 - 30.
      13 H. J. R., Murray, note 9 above, at31.
      14 The Epigrams of Agathias of Myrnein the Platine Anthology.
      15 H. J. R., Murray, note 9 above, at114.
      16 Al-Ya Qubi, 'Manuscript containedin the British Museum - Brit. Mus., Arab. Add. 7515
      17 H. J. R. Murray, note 9 above at115.
      18 John L. Myres, 'The Dawn of History',(Henry Holt Co., New York, 1911)
      19 See for example H. J. R. Murray,note 9 above, especially Chapter 9 - 'The Distribution and Origin of BoardGames'.
      20 H. J. R. Murray, 'History of Chess',(Oxford, 1913).
      21 See H. J. R. Murray note 9 aboveat 115.
      22 Stewart Culin, 'Chinese Games withDice and Dominoes', (Washington 1895), at 80.
      23 H. J. R., Murray, note 9 above at122.
      24 Oswald Jacoby and John R Crawford,'The Backgammon Book', (Viking Press, New York, 1970, reissued in paperbackby
      Bantam Books, New York, 1973).
      25 See for examples Jessel, Frederic,'A Bibliography of Works in English on Playing Cards and Gaming', (Longmans,Green, and
      Co., London, 1905).
      26 James Balmford, 'A Short and PlainDialogue concerning the unlawfulness of Playing at Cards or Tables. (London,1593);
      27 Daniel Bellamy, 'Backgammon: or theBattle of the Friars, a Tragic-comic Tale in Verse, to which is added aShort Essay on the
      Folly of Gaming, by Way of Application',(J. Wilford, London, 1734).
      28 Edmond Hoyle, 'A Short Treatise Onthe Game of Back-Gammon', (Published in Great Britain, printed for: T.Osborne, in Gray's
      Inn; J. Hilyard, at York; M. Brysonat Newcastle; and J. Leake, at Bath 1745).
      29 Further titles published during theera of the Industrial Revolution include; William Green, 'The BackgammonTeacher: A Treatise
      New and Original throughout; to whichis added a familiar exposition of the manner of calculating chances, witha new table of Odds
      and a new Code of Laws', (Baldwin andCraddock, London 1819); Frederic Hardy, 'Handbook of Draughts andBackgammon,With
      Illustrative Diagrams', (Frederick Warne,London, 1867); George F. Pardon, 'Backgammon: Its History and Practice',(D. Bogue,
      London, 1844); George F. Pardon (writingunder the pseudonym 'Captain Rawdon Crawley'), ' A Handbook of Draughts:With a
      Chapter on Backgammon', (Routledge,1863); Roy Reuben, 'Roy's Game of Backgammon, wherein the Principles ofthe Game are
      explained, and the Directions of thebest Players and Authorities have been compared and revised', (H. K.Causton,London 1848);
      H.D. Symonds, 'Backgammon: Rules andDirections for Playing the Game of Backgammon, Illustrated withCalculations,Critical
      Cases, and Games', (Lee & HurstLondon, 1798);
      30 H J R Murray , note 9 above, at 117- 127.
      31 Examples include; Jollivet, Euvertede, sieur de Votilley, 'L'excellent jeu du triquetrac, tres-doux esbates nobles compagnies',
      (Guillemot, Paris, 1634); M. j. M.Falavel,'Le jeu du Trictrac, ou les Principes de ce Jeu' (Nyon, Paris, 1776); andN., Guiton, 'Traite
      Complet du Jeu de Trictrac', (L. G.Michaud, Paris, 1816). For a comprehensive bibliography of Tric Trac, seeDavid Levy's 'Tric
      Trac Home Page'.
      32 Freiherr von Holzhausen, 'Handbuchdes Schachspiels', (Leipzig 1912).
      33 Elizabeth Boyden, 'The NewBackgammon',(Frederick Warne and Co Ltd, London, 1930).
      34 See for example Boyden note 4 above.
      35 See for example; Ralph A. Bond,'Beginner'sBook of Modern Backgammon', (Sears Publishing Company, New York, 1930);
      Frank Elmer Bruelheide, 'WinningBackgammonat Sight', (Bruce-Roberts, Chicago, 1930); W. D. Eyre, 'Taking Some ofthe Luck
      Out of Backgammon', (Ramapo PublishingCo, 1931); Bar Point, 'Backgammon Up To Date: with Thumb Index and 27Diagrams;
      An Ideal Reference for Novice or Expert'(de la Rue, 1931); Peter Nicholas Gatsos, 'Modern Backgammon in a Nutshell:
      Backgammon as a Military Conflict',(J. Poly & Sons, Cleveland, 1930); Lelia Hattersley, 'How to Play theNew Backgammon',
      (Doubleday, Doran & Company, NewYork 1930); R. Hoyle, 'How to Play Backgammon', (Laurie, 1931); JohnLongacre,
      'Backgammon of Today', (The John C.Winston Company, Philadelphia, 1930); Georges Mabardi and Clare BootheBrokaw,
      'Vanity Fair's Backgammon to Win',(HoraceLiveright, New York, 1930); Grosvenor Nicholas, 'Modern Backgammon', (HenryHolt
      and Company, New York, 1928); GrosvenorNicholas and C. Wheaton Vaughan, 'Winning Backgammon: Problems and Answers',
      (D. Appleton and Company, New York,1930); Walter L. Richard, 'Complete Backgammon', (Cosmopolitan BookCorporation,New
      York, 1931); Oh Tee, 'Backgammon asPlayed in Hollywood', (E. Hays Press, Hollywood, 1930); Harold Thorne,'Backgammon in
      20 Minutes', (E. P. Dutton & Co.,New York, 1930); Harold Thorne, 'Backgammon Tactics: Containing 50BackgammonProblems
      with Answers & Authorized Laws for1931', (E. P. Dutton & Co., New York, 1931); William H. Walling andWilliam J. Hiss,
      'Backgammon Standards: How to Win atBackgammon', (Simon and Schuster, New York, 1930).
      36 R. C. Bell, 'Board and Table Games',Volume 1, (Oxford University Press, London, 1960) at 43.
      37 Harry Mabs invented Gottlieb's'FlipperBumpers' in 1947.
      38 See for example, Chuck Bower, 'Historyof Backgammon' in Kit Woolsey (ed.) GammOnline (August 1999).
      39 The first commercial video arcadegame was 'Computer Space', produced by Nutting Associates in 1971, howeverthe project
      was not commercially successful.
      40 Invented by Nolan Bushnell in 1972.
      41 Taito/Bailey/Midway, 1978.
      42 Baily/Midway, 1980.
      43 Atari 1974.
      44 For a comprehensive overview of thehistory of Video Games, see for example; 'The Dot Eaters: Video Game History101', at
      http://www.emuunlim.com/doteaters/
      45 Bower, note 33 above.
      46 See for example the works of DannyKleinman, Kent Goulding and Bill Robertie.
      47 For more detailed information onthe history of backgammon computing see for example; Bower note 37 above;and Kit
      Woolsey, 'Computers and Rollouts',publishedon GammOnline January 2000 issue.
      48 For example, JellyFish, and Snowie.
      49 See H. J. R. Murray note 4 aboveat 129.
      50 Boyden, note 33 above, at 93.
      51 For further information on Moultezem,see for example; Oswald Jacoby, and John R. Crawford, note 24 above at223 - 225.
      52 For further information on Plakoto,see for example Jacoby and Crawford, note 24 above, at 226 to 227.
      53 See H. J. R. Murray, note 4 aboveat 124.
      54 A comprehensive set of rules forTric Trac is available at David Levy's Tric Trac Homepage,.

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