# C1226 — Close the source-to-Key rectangle

## Question

Do the two source-generated radii produce the same40-year gain?

## Inputs

```json
{}
```

## Sources

```json
[
  "C1224",
  "C1225",
  "Strategy §4.3"
]
```

## Opened utc

2026-09-28T05:33:46.553257+00:00

## Results

```json
{
  "rectangle": {
    "path": "model/SP_rectangle_source_to_keys.json",
    "sha256": "2915b2ba9d1a46ccd7d9d007050f8822558866bd9ac4f478d7e5a612fd262477",
    "bytes": 444
  },
  "gains": [
    40,
    40
  ],
  "gap": 9200
}
```

## Finding

The reconstructed inputs give the established40/40 gains to Conquest1406, preserving9200, whose25/23 expansion is10000. The advance is the genealogy-to-cap-to-Key explanation, not another independent occurrence of those numbers.

## Reassessment

Determine which supplied placements are essential to the equal-gain equality.

## Checks

```json
{
  "gains40": true,
  "same_target": true,
  "gap9200": true,
  "expanded10000": true
}
```

## Closed utc

2026-09-28T05:33:46.553745+00:00

## Record provenance

Exact record hash: `3dd7ca3b747f0a73d39da7ea3dca814fa4160e517c5c9a0b915f7bc6a5fbc49a`

Source journal: `Research_Cycles/C1132_C1431_Recovered/journal.json`