17. Lines Patterns in Space

The text discusses the concept of straight lines in CPS Geometry, a system where points are infinitesimal spheres arranged in a specific pattern. It explores the concept of lines as patterns that extend infinitely in both directions and can be defined by any two points in the space. The text then investigates patterns formed by lines emanating from a central point, analyzing these patterns based on the surrounding layers of points, which are arranged in cuboctahedron structures. The text also considers how these patterns arise from the arrangement of rhombic dodecahedrons, which fill space in CPS Geometry. The text concludes by highlighting the potential for further exploration of these line patterns and their connection to complex analysis concepts such as Möbius transformations.