《尹湾汉墓简牍》博局占图构造考释

An analysis of the mathematical method of the divination practise on the Slips and Tablets from the Han Tombsat Yinwan

应用排列、配置、统计等方法 ,对连云港尹湾汉墓木牍 (约公元前 1 5年 )中的“博局占”图进行考释 ,找到了“博局占”图的原始形式 ,发现了 2 1 0 0年前一种数学游戏的新证据。应用数学方法研究占法获得一些有趣的结论 ,这有助于对汉代占卜史的研究和了解中国古人如何在占卜中应用数学方法。

In1 993some tombs of the Han Dynasty were excavated at Yinwan(尹湾 ) near the City of Lianyun Gang(连云港市 ) ,Jiangsu proivnce .And in 1 997the Slipsand Tablets from the H an Tombsat Yinwan(《尹湾 汉墓简牍》) were published.Among these relics are a number of bamboo slips and wooden tablets,true records of the divination practise about 1 5BC,which had hitherto been unknown. Using mathematical methods,such as permutation,disposaland statistics,itispossible to makean analysisof the diagram of' Boju Zhan' (博局占 , the divination on a gambling diagram) .The original from of the diagram of' Boju Zhan' was found and new evidence was discovered for a mathematical game of 2 1 0 0 years ago. Research in the divination practise by means of mathenatical method may leads to some interesting conclusions.It is hoped that the work may promote the study of the divination practise in thd Han Dynasty .Perhaps,itmay also help people to understand how the ancient Chinese applied mathematics to divination.