论文标题
同时分形
Cohomology fractals
论文作者
论文摘要
我们介绍了共同分形；这些是与双曲线三序列上的共同体学类相关的某些图像。它们包括完全由圆圈制作的图像，还包括没有几何简单特征的图像。它们与限制kleinian群体集密切相关，但有一些关键差异。结果，我们几乎可以朝任何方向缩小实时任意深度的方向。我们在使用射线铸造的理想三角形设置中提出了实施。
We introduce cohomology fractals; these are certain images associated to a cohomology class on a hyperbolic three-manifold. They include images made entirely from circles, and also images with no geometrically simple features. They are closely related to limit sets of kleinian groups, but have some key differences. As a consequence, we can zoom in almost any direction to arbitrary depth in real time. We present an implementation in the setting of ideal triangulations using ray-casting.
