论文标题
民间传说，浮球戒指，二十面体和三个维度
Folklore, the Borromean rings, the icosahedron, and three dimensions
论文作者
论文摘要
浮球戒指，二十面体和所谓的Poincaré同源性领域之间存在关系。在一条流浪的道路上探索了这种关系，该路径介绍了拓扑结构的基本思想和八面体的二十面体化合物的几何结构。这种探索导致证据表明，二十面体的定向对称群是五个符号的交替组，这是连接硼圆环的事实，与庞加莱猜想有关的背景。这是针对本科生的已知结果的阐述。
There is a relationship between the Borromean rings, the icosahedron and something called the Poincaré homology sphere. This relationship is explored in a wandering path that introduces fundamental ideas from topology and a geometric construction of an icosahedral compound of octahedra. This exploration results in proofs that the orientation-preserving symmetry group of an icosahedron is the alternating group of five symbols, the fact that the Borromean rings are linked, and background related to the Poincaré conjecture. This is an exposition of known results aimed at undergraduates.
