# C563 — Compress the double Adam square

## Question

Do both110-squared constructions follow from a rigid translation?

## Inputs

```json
{
  "base": [
    14006,
    1906,
    1796
  ],
  "apparent_whole_year": [
    14036,
    1936,
    1826
  ]
}
```

## Sources

```json
[
  "File61 §§12.4–12.6"
]
```

## Opened utc

2026-09-28T00:15:00.974870+00:00

## Results

```json
{
  "differences": [
    [
      12100,
      12210,
      110
    ],
    [
      12100,
      12210,
      110
    ]
  ],
  "pair_translation": [
    30,
    30,
    30
  ],
  "exact_phase_mismatch": "24199/2",
  "square": 12100
}
```

## Finding

The two square/rectangle displays are the same12100/12210 geometry translated30. Substituting an exact-phase Joseph node alone yields12099.5 and breaks the square; no new head is fitted.

## Reassessment

Determine how the Isaac macro partition relates to the calendar ratios.

## Checks

```json
{
  "same_shape": true,
  "translation": true,
  "mismatch": true
}
```

## Closed utc

2026-09-28T00:15:00.975240+00:00

## Record provenance

Exact record hash: `85bcaeadc456db00f32fa3ca3524cd88291d4d41b97cc312a3d72127954dca79`

Source journal: `Research_Cycles/C0532_C0631/journal.json`