# C647 — Normalize the nested bilateral spans

## Question

What structure is shared by the source’s14,140 and980 layers?

## Inputs

```json
{
  "widths": [
    14,
    140,
    980
  ],
  "halves": [
    7,
    70,
    490
  ]
}
```

## Sources

```json
[
  "File70 Appendix D.5"
]
```

## Opened utc

2026-09-28T01:04:13.636096+00:00

## Results

```json
{
  "normalized_halves": [
    [
      1,
      1
    ],
    [
      1,
      1
    ],
    [
      1,
      1
    ]
  ],
  "scale_from14": [
    1,
    10,
    70
  ]
}
```

## Finding

The three layers share the bilateral1|1 shape at scales1,10,70. This establishes nested geometric scale, without creating an appointment at an unsupplied midpoint.

## Reassessment

Test the more informative five-node Creation–Terah refinement rather than stopping at bilateral similarity.

## Checks

```json
{
  "halves": true,
  "scales": true
}
```

## Closed utc

2026-09-28T01:04:13.636323+00:00

## Record provenance

Exact record hash: `eebd35943fcf34a0390ba6b207d01d4c46454ddf6e2ca10563c2efe7cab6071d`

Source journal: `Research_Cycles/C0632_C0731/journal.json`