C587 — Generate all twelve Enoch cells

Question

Can one count-and-carrier rule recover the complete source family?

Inputs

{
  "N": [
    77,
    63,
    50
  ],
  "g": [
    70,
    72
  ],
  "rail": 110,
  "terminal_AD": 65,
  "Enoch_index": 7
}

Sources

[
  "File69 §§1–3; Appendix B.1–B.4"
]

Opened utc

2026-09-28T00:21:07.811549+00:00

Results

{
  "cells": [
    {
      "N": 77,
      "g": 70,
      "u": 180,
      "cell": [
        12646,
        12536,
        12576,
        12466
      ]
    },
    {
      "N": 63,
      "g": 70,
      "u": 180,
      "cell": [
        10126,
        10016,
        10056,
        9946
      ]
    },
    {
      "N": 50,
      "g": 70,
      "u": 180,
      "cell": [
        7786,
        7676,
        7716,
        7606
      ]
    },
    {
      "N": 77,
      "g": 72,
      "u": 182,
      "cell": [
        12786,
        12676,
        12714,
        12604
      ]
    },
    {
      "N": 63,
      "g": 72,
      "u": 182,
      "cell": [
        10238,
        10128,
        10166,
        10056
      ]
    },
    {
      "N": 50,
      "g": 72,
      "u": 182,
      "cell": [
        7872,
        7762,
        7800,
        7690
      ]
    },
    {
      "N": 77,
      "g": 70,
      "u": 70,
      "cell": [
        4946,
        4836,
        4876,
        4766
      ]
    },
    {
      "N": 63,
      "g": 70,
      "u": 70,
      "cell": [
        3966,
        3856,
        3896,
        3786
      ]
    },
    {
      "N": 50,
      "g": 70,
      "u": 70,
      "cell": [
        3056,
        2946,
        2986,
        2876
      ]
    },
    {
      "N": 77,
      "g": 72,
      "u": 72,
      "cell": [
        5086,
        4976,
        5014,
        4904
      ]
    },
    {
      "N": 63,
      "g": 72,
      "u": 72,
      "cell": [
        4078,
        3968,
        4006,
        3896
      ]
    },
    {
      "N": 50,
      "g": 72,
      "u": 72,
      "cell": [
        3142,
        3032,
        3070,
        2960
      ]
    }
  ],
  "coordinate_matches": 48,
  "rule": "x=(N−7)u−64; cell=(x+110,x,x+110−g,x−g)"
}

Finding

One indexed carrier expression reconstructs48 printed coordinates across twelve cells. Accumulation uses u, while local birth-to-ascension uses g; retaining both is the key compression.

Reassessment

Test whether a single ordinary affine map could replace the indexed carrier rule.

Checks

{
  "coverage": true,
  "local_spans": true
}

Closed utc

2026-09-28T00:21:07.812677+00:00

Record provenance

Exact record hash: 583c5dfd0c0212b9525a21f69f627817931e26f8e1b3bff7c98917bc3f411830

Source journal: Research_Cycles/C0532_C0631/journal.json