论文标题
Bricard的Octahedra的组合
Combinatorics of Bricard's octahedra
论文作者
论文摘要
我们通过满足某些基本规则的组合对象来重新展示Bricard在XX世纪初在XX世纪初获得的灵活八面体的分类。这些规则的解释取决于使用现代代数几何形状的众所周知的创建，这是带有标记点的稳定理性曲线的模量空间，用于描述球体上图的配置。一旦接受对象和规则，分类就会变成基本（尽管不是微不足道），并且无需对该主题的深刻背景而享受。
We re-prove the classification of flexible octahedra, obtained by Bricard at the beginning of the XX century, by means of combinatorial objects satisfying some elementary rules. The explanations of these rules rely on the use of a well-known creation of modern algebraic geometry, the moduli space of stable rational curves with marked points, for the description of configurations of graphs on the sphere. Once one accepts the objects and the rules, the classification becomes elementary (though not trivial) and can be enjoyed without the need of a very deep background on the topic.
