智力玩具九连环研究  

A Chinese Intelligence Toy: The Ring of Linked Rings

作　　者：沈康身[1] 

机构地区：[1]浙江大学数学系,浙江杭州310027

出　　处：《高等数学研究》2012年第5期56-62,F0003,共8页Studies in College Mathematics

摘　　要：经考证指出中国智力玩具九连环在先秦时代已经发明;探讨九连环的结构、操作特点、源流、上下环充分必要条件及其计数函数;介绍西方数学家Cardan G(1501-1576),Wallis J(1616-1703)和Lucas F EA(1842-1891)所取得的相关成果.The Chinese intelligence toy Ring of Linked Rings was invented before the Qin Dynasty （B.C. 221）. This paper intends to show its structure and operation, its history, the sufficient and necessary conditions for disjointing the rings and it＇s counting function. The paper also presents research results by G. Cardan （1501 -- 1576）, J. Wallis （1616 -- 1703 and F. E. A. Lucas （1842- 1891）, and comments that their researches are successful.

关 键 词：九连环 上 下环充要条件 计数函数 

分 类 号：O112[理学—数学]