Abstract
This disclosure describes a compact, opaque geographic addressing format ("a4l:") for hexagonal cells of a Goldberg polyhedron tessellation of the Earth's surface. Unlike static geographic grids, this framework applies a continuous temporal rotation (precession) to the tessellation lattice using the Golden Ratio (φ = 1.6180339...) as the rotation period divisor, creating a 4-dimensional address (spatial + temporal) that cannot be decoded without knowledge of the exact Unix timestamp at event creation.
Format: `a4l:PH` where PP = pentagon identifier (00-11), QQQQ/RRRR = axial hex coordinates offset-encoded as 16-bit unsigned hexadecimal values.
The dynamic grid makes the addressing scheme privacy-preserving by design: without the original Unix timestamp and the Golden Ratio precession parameter, coordinates cannot be reliably reverse-mapped to standard GPS coordinates. Applications include geographic tagging of decentralized protocol events (NOSTR NIP-01) with spatial privacy from external scrapers while enabling precise spatial queries within trusted client implementations.
Prior art: Goldberg polyhedra (Goldberg, 1937), axial hex coordinates (standard), Golden Ratio mathematics (ancient). No prior combination of dynamic Golden Ratio precession with hexagonal Goldberg tessellation for opaque geographic addressing is known to the authors.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.
Recommended Citation
RENAULT, Frédéric, "4D Opaque Hexagonal Geo-Addressing Scheme Using Dynamic Goldberg Polyhedra and Chinese Remainder Theorem Encoding", Technical Disclosure Commons, (June 03, 2026)
https://www.tdcommons.org/dpubs_series/10327