C1029 — NT equal-block coarsening preserves reflection

Question

Does the complete77-edge NT field carry reflection through seven-edge blocks?

Inputs

{
  "edges": 77,
  "block_size": 7
}

Sources

[
  "File43",
  "File54",
  "C1028"
]

Opened utc

2026-09-28T04:01:19.343924+00:00

Results

{
  "block_map": [
    10,
    9,
    8,
    7,
    6,
    5,
    4,
    3,
    2,
    1,
    0
  ],
  "selected_boundaries": [
    0,
    7,
    14,
    21,
    28,
    35,
    42,
    49,
    56,
    63,
    70,
    77
  ],
  "reflected_boundaries": [
    77,
    70,
    63,
    56,
    49,
    42,
    35,
    28,
    21,
    14,
    7,
    0
  ]
}

Finding

Reflection permutes all eleven equal seven-edge blocks, so the NT490 coarsening passes the criterion. This explains why one contraction preserves the reflection that the Toledot section quotient loses.

Reassessment

Compare the three kinds of retained information now exposed.

Checks

{
  "all_blocks": true,
  "boundary_invariance": true,
  "eleven_blocks": true
}

Closed utc

2026-09-28T04:01:19.344406+00:00

Record provenance

Exact record hash: fceec64736d298c84820860ac60bcf8a9becb90c69fa152136e26fc41d36ce65

Source journal: Research_Cycles/C0932_C1131/journal.json