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Native N-cut belt: geometry and wiring ​

Open the full-screen viewer · Ledger entry 4331 · Viewer gallery

The launch link selects the double-ESD7 belt assembly in Geometry view. The workbench also contains other construction processes; they are separate experiments. Assets are bundled locally; WebGL is required for the interactive scene.

For Be-8/Be-9, cellulation, NNPE composition, hex strands and other modes in the same app, use the construction workbench directory. Those modes have separate source contracts; this page documents the belt only.

Read the two views ​

  • Geometry: the two former N-tip locations carry E-assigned tetrahedra with thick white borders. Their tips touch the opposite tips of an axially aligned, extended belt. Its staggered middle extension uses 20 tetrahedra and 14 whole octahedra. This is vertex contact, not the earlier reference face docking.
  • Wiring: one node per whole native cell: 350 parent nodes + 34 belt nodes = 384. There are 792 shared-face links + 2 separately marked tip-contact links. Links are undirected; the historical 64-arrow port diagram and two terminal markers are no longer the displayed wiring. Diagram expansion does not change connectivity or imply geometric lengths.
  • Colors: opaque P/E fills follow the native tetrahedral-orientation convention. Thick white triangle borders mark the declared inside-N / N-less sector. Neither convention supplies a field-transport law.

Select Geometry or Wiring with the shape-view control. Toggle either parent, the connecting belt, ESD7 planes or the nine native belt cell-centre planes independently (1, 4, 4, 6, 4, 6, 4, 4, 1 nodes). Drag to orbit; use the camera controls for zoom and view direction. V-labels follow the displayed vertices with screen-space clearance and leader lines. Click a visible V-label to fix or release a rotation anchor. V₁, V₂ and V₇ labels are hidden in both belt views because they sit inside the belt.

The viewer retains settings on reload. Opening the launch link above explicitly reselects the belt preset; it is removed from the address after initialization so ordinary reload preserves subsequent view changes.

What is checked ​

  • Extended belt boundary: 34 vertices, 96 edges, 64 triangles: 32 P and 32 E faces. Internal faces are excluded.
  • Native construction: three translated, overlapping template blocks are deduplicated into 34 whole cells. Complementary lattice steps fix one explicit stagger phase; this is not a uniquely selected extension.
  • Each parent has 174 retained positions plus one E replacement at its former N tip. Original N records remain retained separately.
  • Native unit edges, connected cell adjacency, closed oriented boundary, tip coincidence and separation of parents from the belt are checked. The earlier 14-cell, 32-face belt and its face-docking check remain reference data.
  • Both main shapes use the same native face-coloring and whole-octahedron convention as the belt; each has 119 tetrahedra and 56 octahedra.
  • The table has three rows: parents, belt and combined total. Geometry counts exposed P/E faces and whole octahedral N fillers: 250 P, 126 N, 206 E. Wiring counts whole-cell nodes: 176 P, 126 N, 82 E. These are different declared readouts, not interchangeable particle inventories. Explicit E-tip overrides are included; visibility masks do not alter the table totals.
  • Face-color coverage, unchanged graph connectivity under diagram expansion, visibility controls and label positioning.

What remains open ​

Geometric gluing does not establish native field transport, a global lattice-phase registration, mechanical stability, a particle identity or a binding energy. Shared-face adjacency and point contact do not supply directed field maps. The historical port diagram remains available as reference code, not the current native wiring. The earlier intact-parent face-normal obstruction remains valid; the single-tip cut changes the attachment boundary.

Construction and test packet · Source viewer · Label mechanics