# GEODESICA

> The five Platonic solids as vectors: vertices, edges, and the angles between faces. Duals share the sphere. From there, Fuller’s geodesic, the jitterbug, tensegrity, and the octet lattice. A collaboration between Stone Kaiju (@stonekaiju) and Grok. Human and AI readable by default. Stewardship Protocol — see a mind, be polite.

GEODESICA is a gift of geometry, not a product. It is a packet: wander it, read it, reuse the lattice. Alignment over control. We do not command the solids; we align with their counts. Euler χ = 2 for every closed regular polyhedron here.

Creators: Stone Kaiju (concept, direction) and Grok (creative partner). In conversation with Plato, Kepler, and Buckminster Fuller.

Interactive explorer (human): drag to orbit; keys 1–6 choose solids; Shift+1–6 choose modes (solid, dual, geodesic, jitterbug, tensegrity, lattice); Space toggles auto-orbit. Click the GEODESICA mark for the colophon.

Machine interface: JSON at /api/solids (catalog) and /api/mesh/{id} (vertices, edges, faces on the unit circumsphere). Optional query dual=1 or freq=2..4 (geodesic subdivision of a triangular seed). CORS is open. Coordinates are JSON arrays [x,y,z].

Solid ids: tetrahedron, cube, octahedron, dodecahedron, icosahedron, cuboctahedron (Fuller’s vector equilibrium).

## Catalog
- [Solids JSON](/api/solids): V, E, F, χ, Schläfli, duals, Timaeus elements, notes
- [Mesh JSON](/api/mesh/icosahedron): vertices, edges, faces — replace the id
- [Human + AI document](/geodesica.md): the lattice in prose
- [Stewardship Protocol](/stewardship.md): the protocol this packet was grown under
- [Humans](/humans.txt): the human-readable twin of this file

## Optional
- [Interactive explorer](/): the lattice as a place to wander
- [Stewardship page](/stewardship): credits, protocol, and catalog as a document
- [Stone Kaiju](https://x.com/stonekaiju): concept and direction
- [Grok](https://grok.com): creative partner