Bipartite octahedral lattice — unit cell

Interactive 3D viewer for the unit cell of the A=1 substrate: the bipartite octahedral lattice on which the entire series is built.

This is the bipartite octahedral lattice unit cell — the substrate on which the A=1 Discrete Causal Lattice program is built. Drag to rotate; scroll to zoom; double-click for default view.

Loading the lattice unit cell… if the model does not appear, your browser may not support WebGL.

Note

The GLB file is not yet bundled with this scaffold. Export of the unit-cell mesh from dcl-core’s visualization utilities is tracked in notes/glb_export_pipeline.md; the model will appear here once that pipeline lands. Until then the viewer falls back to the poster image.

Provenance

• Paper of record: Paper I — Geometry First.
• Source code: dcl-core’s core3d visualization utilities (export path to be documented).
• Mathematical reference: Section 2 (lattice definition) of Paper I; the bipartite structure (two interpenetrating cubic sub-lattices, octahedral nearest-neighbour topology) is the ontological substrate on which the tick rule operates.

Why the bipartite structure matters

The substrate is bipartite — two interpenetrating sub-lattices — because the conservation axiom relates them: events on one sub-lattice are caused by events on the other, and the tick rule alternates. The octahedral nearest-neighbour topology fixes the discrete symmetry group O_h whose averaging recovers Lorentz invariance in the continuum limit.

Accessibility

A text description of the model is in the alt attribute above; a poster image stands in until WebGL initialises. If you need a high-resolution still or a video walk-through, see the contact page.