{
  "date": "2026-10-11",
  "status": "passed",
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        "contact_panels": 3
      },
      {
        "variantId": 20,
        "origin": [
          1,
          1,
          1
        ],
        "contact_panels": 3
      },
      {
        "variantId": 20,
        "origin": [
          2,
          0,
          0
        ],
        "contact_panels": 3
      },
      {
        "variantId": 21,
        "origin": [
          0,
          2,
          0
        ],
        "contact_panels": 3
      },
      {
        "variantId": 22,
        "origin": [
          -1,
          -1,
          1
        ],
        "contact_panels": 3
      },
      {
        "variantId": 22,
        "origin": [
          0,
          0,
          2
        ],
        "contact_panels": 3
      }
    ],
    "proper_rotation_panel_checks": 576,
    "maximum_rotation_trace_sample_error": 0,
    "patches": [
      {
        "level": 0,
        "tiles": 1,
        "cubes": 7,
        "shared_panels": 0
      },
      {
        "level": 1,
        "tiles": 8,
        "cubes": 56,
        "shared_panels": 48
      },
      {
        "level": 2,
        "tiles": 64,
        "cubes": 448,
        "shared_panels": 576
      },
      {
        "level": 3,
        "tiles": 512,
        "cubes": 3584,
        "shared_panels": 5376
      }
    ]
  },
  "analytic_facts": {
    "constant_coefficient": 0,
    "reason": "Every collar is symmetric tangentially, and its profile is odd under y -> -y.",
    "finite_exact_representation": false,
    "obstruction": "The nonzero field vanishes on an open interior set; a finite Laplacian eigenmode sum is analytic in the connected interior."
  },
  "limitations": "Infinite aperiodicity conclusion relies on the cited Chair44 theorem. No unrestricted placement-registration theorem, reflection transfer, exact finite-mode equality or certified numerical cutoff. Erasing fields is not claimed here to preserve aperiodicity."
}