论文标题
来自恒星立方体的本地球形高血压
Locally spherical hypertopes from generlised cubes
论文作者
论文摘要
我们表明，每个非脱位常规多层都可以用来构建一个薄的，残留的，腔室传播的入射率几何形状，即带有尾三角形Coxeter图的常规高血压。我们讨论将这种结构应用于广义立方体时得出的几个有趣的例子。特别是，我们产生了一个等级$ 5 $有限本地球形的示例。
We show that every non-degenerate regular polytope can be used to construct a thin, residually-connected, chamber-transitive incidence geometry, i.e. a regular hypertope, with a tail-triangle Coxeter diagram. We discuss several interesting examples derived when this construction is applied to generalised cubes. In particular, we produce an example of a rank $5$ finite locally spherical proper hypertope of hyperbolic type.
