{"id": "c233", "title": "C233 — Integral expanded square vertices do not preserve ordinary Creation", "filename": "490d_C233_529_Mirror_Bounded_Step_20260923.md", "role": "Research action", "step": 233, "sha256": "a0229a6c4428913448be4bac3b319f944b98fda35592f0f86018720e59ff473d", "bytes": 1969, "origins": ["C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_C206_C265_529_Expansion_Centers_20260923/C233/490d_C233_529_Mirror_Bounded_Step_20260923.md"], "download": "/sources/a0229a6c4428913448be4bac3b319f944b98fda35592f0f86018720e59ff473d.md", "format": "md", "derived": false, "tags": ["Regular", "Mirror / 529"], "excerpt": "C233 — Integral expanded square vertices do not preserve ordinary Creation\n\n23 September 2026 · Step 28 of 60, continuing C205.\n\nThe exact C204 square has vertices p−12K, p−10K, p+5K and p+7K. Its first two macro images are integral because K becomes 575 and 625. Ordinary Creation and ordinary MT Flood additionally con", "content": "# C233 — Integral expanded square vertices do not preserve ordinary Creation\n\n23 September 2026 · Step 28 of 60, continuing C205.\n\nThe exact C204 square has vertices p−12K, p−10K, p+5K and p+7K. Its first two macro images are integral because K becomes 575 and 625. Ordinary Creation and ordinary MT Flood additionally contain the −190 profile term, whose scaled images are fractional.\n\nIntegral square vertices therefore do not imply an integral expanded ordinary Creation/Flood configuration. The alternate-MT vertex remains a generated image under this map; its integrality does not preserve the profile relation as a held 190-year source shift. This supplies a direct source-domain explanation of the anchor obstruction.\n\n## Evidence and scope\n\nK=529 and r=25/23. BC base B means (B+1)t/Bn BC; reflected AD base A means AD At/(A+1)n. Their civil span is B+A in both seasonal components, with no year zero. Signed paired centers are −B and +A; the center model uses components ±1/4 and restores this separation after dilation. An interval center is geometry, not an event or a proposed universal Mirror axis.\n\nRegular Gears are restricted to Noah/Shem/Flood. Creation and Conquest retain fixed source-field members; no fourth Gear is admitted. Generated coordinates, source-field membership and stored graph incidence are distinct. File_18/File_09 and the frozen C127 graph are unchanged. Earlier N01/N03 qualifications, the missing Shem join, closed primers and unestablished original Reports 11–25 remain unchanged. This packet selectively uses prior evidence; it does not rerun completed campaigns. Assertions and alternative placements are not independent historical witness counts.\n\n**12 step-specific checks and 19 frozen-input checks passed.** Exact inputs, results and predecessor hashes are in the accompanying JSON records; calculation code is in the evidence archive. Source dependencies are identified in the body and frozen in `sources/`.\n", "evidenceLinks": [{"id": "d-68301ab760bfbe2e", "title": "File 18"}, {"id": "d-45851004c5864229", "title": "File 09"}]}