保加利亚纸牌游戏及其数学
The Bulgarian solitaire and the mathematics around it
摘要：
保加利亚纸牌是一种单人玩的数学纸牌游戏。一副n张牌被分成几副牌（或“牌堆”）。每次移动包括从每副牌中取出一张牌，并收集取出的牌组成一副新牌。当相同的位置出现两次时，游戏结束。已经证明，当n=k（k+1）/2是一个三角形数时，游戏达到了与桩1，2，.的大小相同的稳定配置，K.本文的目的是告诉（相当有趣）的游戏故事，并讨论与保加利亚纸牌有关的数学问题。这篇论文是为了纪念Borislav Bojanov（1944-2009），他是一位伟大的数学家，人和朋友，也是保加利亚纸牌故事的主角之一。
英文摘要：
The Bulgarian solitaire is a mathematical card game played by one person. A pack of n cards is divided into several decks (or "piles"). Each move consists of the removing of one card from each deck and collecting the removed cards to form a new deck. The game ends when the same position occurs twice. It has turned out that when n=k(k+1)/2 is a triangular number, the game reaches the same stable configuration with size of the piles 1,2,...,k. The purpose of the paper is to tell the (quite amusing) story of the game and to discuss mathematical problems related with the Bulgarian solitaire. The paper is dedicated to the memory of Borislav Bojanov (1944-2009), a great mathematician, person, and friend, and one of the main protagonists in the story of the Bulgarian solitaire.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
