This work develops a formal topological analysis of a planar geometric configuration commonly known as the “Pi Crop Circle” (2008), treated here purely as an abstract hybrid structure. The configuration is modeled as a composition of a distinguished center, a one-dimensional spiral trajectory, and three nested cyclic components. Parametrization in the manifold S^1 R^+ separates the linear and cyclic contributions and reveals a coherent hybrid organization. A minimal set of structural invariants is identified—center, continuous spiral, discrete radial segmentation, and embedded cycles—each stable under homeomorphisms and jointly determining the topological type of the configuration. The resulting discrete--continuous architecture exhibits low redundancy and high internal order, characteristic of hybrid linear--cyclic systems. Such structures are relevant to geometric encoding theory and to methodological approaches in technosignature analysis, where emphasis is placed on structural coherence rather than provenance. The identified invariants correspond to widely recurring geometric motifs—center, cycle, spiral, and radial progression—appearing across independent mathematical and cosmological traditions. These parallels are noted solely at the level of abstract form. The study makes no claims regarding authorship or intent. Its contribution lies in demonstrating that the configuration constitutes a well-defined example of hybrid linear--cyclic topology with potential applications in encoding theory, discrete--continuous systems, and the analysis of structured patterns in applied contexts.
Vasil Tsanov (Tue,) studied this question.