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FrankhoBaGuaMathematics(FrankhoEightDiagramsMath)何氏八卦数学HoMathandChessLearningcentreVancouver,Canadawww.mathandchess.comJune1,2011In2011,Ireadanewspiece(1)aboutacity(八卦城[bāguàchéng)inChina,whichhasstreetsdesignedinChineseBaGuashapeandtherewerenotrafficlightsinstalledbuttrafficcanflowwithnomajorheadaches.ThispieceofinformationgotmyinterestsaboutBaGuaandthenIstartedlookintothemysteryofBaGua.SinceIhavebeencreatingmathematicsworkbookusingmyinventionofGeometryChessSymbolsoIveryquicklyrealizethatthe8directionstheBaGuapointstohasadirectlinkwiththequeens’movesinchess.intuitivelyIknowIcoulduseBaGuatocreatesomekindofmathematicalpuzzlesforchildrentoworkon.IlikethephilosophythatBaGua’sviewaboutuniverse.ThisverymuchresemblesabouttheconceptofmathfunctionandIliketousetheconceptoffunctiontocreatepuzzles,itaddsfuntothepuzzlesandthepuzzlebecomesmorechallenging.IliketheideaofusingTaijintostartwiththepuzzleasafocalpoint.AstheChineseYi-ChingdescribesTaijiasfollows.無極生有極、有極是太極、太極生兩儀、即陰陽;兩儀生四象:即少陰、太陰、少陽、太陽、四象演八卦、八八六十四卦1TheLimitless(Wuji)producesthedelimited,andthisistheAbsolute(Taiji)TheTaijiproducestwoforms,namedyinandyangThetwoformsproducefourphenomena,namedlesseryin,greatyin(taiyinalsomeanstheMoon),lesseryang,greatyang(taiyangalsomeanstheSun).Thefourphenomenaactontheeighttrigrams(bagua),eighteightsaresixty-fourhexagrams.Taijiand8trigamcreatestheconvergenceanddivergenceofdataflow.BaGuashowsdirectionsandIcanmakeuseofthistocreatpuzzleandlinktochess.BaGuashowsbinarytrigramssoIcanmakeusofthesetocreatemathcomputationproblems.2CalculatethefollowingbinarynumbersrepresentedbytrigramsusedinBaGua.++++++++++++Reference(1)http://www.chinese.cn/travel/en/article/2009-09/27/content_42721.htm32#8FrankhoEightDiagramsMath™何氏八卦数学™(TheFrankhoBaGuaMath™)七巧板八卦九宫数不知题只见谜中谜何氏国际象棋谜踪全球第一独特发明见棋谜不见题劝君迷路不哭涕数学象棋加谜题健脑思维眞神奇Youarepositionedinthemiddleofachessboardwhichisatc3anditiscalledBaGua(八卦)inChinese."Ba"meanseight(8)