Twelve Pentagons: Grids and the Unruled Reality

Language philosopher Bry Willis examines how human-constructed systems, such as mapping grids and clocks, are mere overlays that fail to fully capture the true nature of space and time. By comparing orthogonal coordinates to ternary systems and spherical geometry, the author demonstrates that every rigid framework inevitably leaves behind a mathematical residue or "defect." The text distinguishes between the quantisation of reality—which can erase the original "groove" of an event—and the simple act of reading a dial, which merely casts a shadow over a continuous flow. Ultimately, Willis argues that while our linguistic and metric tools are useful for navigation, they should not be mistaken for the underlying territory they attempt to measure. The only elements that remain consistent across these conflicting layers are fundamental properties like sequence and adjacency, which persist regardless of the chosen scale.👉 https://brywillis634737.substack.com/p/twelve-pentagons