{"id": "c226", "title": "C226 — Centers of the cumulative 17-fold expansion", "filename": "490d_C226_529_Mirror_Bounded_Step_20260923.md", "role": "Research action", "step": 226, "sha256": "de2a114c7e39b04508c6ba451a87b937bd16a971b86b8eb02b13fab89062dfbf", "bytes": 2097, "origins": ["C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_C206_C265_529_Expansion_Centers_20260923/C226/490d_C226_529_Mirror_Bounded_Step_20260923.md"], "download": "/sources/de2a114c7e39b04508c6ba451a87b937bd16a971b86b8eb02b13fab89062dfbf.md", "format": "md", "derived": false, "tags": ["Regular", "Cumulative", "Mirror / 529"], "excerpt": "C226 — Centers of the cumulative 17-fold expansion\n\n23 September 2026 · Step 21 of 60, continuing C205.\n\nC04’s cumulative construction expands both boundaries about the retained comparison center p. Its interval centers move earlier by 69 and then 75, unlike the later-moving centers of the fixed-Creation chain.\n\n| p | ", "content": "# C226 — Centers of the cumulative 17-fold expansion\n\n23 September 2026 · Step 21 of 60, continuing C205.\n\nC04’s cumulative construction expands both boundaries about the retained comparison center p. Its interval centers move earlier by 69 and then 75, unlike the later-moving centers of the fixed-Creation chain.\n\n| p | Stage | Left center | Right center | Interval center |\n|---|---|---|---|---|\n| 3 | 0 | -5287 | 3706 | -1581/2 |\n| 3 | 1 | -5747 | 4028 | -1719/2 |\n| 3 | 2 | -6247 | 4378 | -1869/2 |\n| 5 | 0 | -5285 | 3708 | -1577/2 |\n| 5 | 1 | -5745 | 4030 | -1715/2 |\n| 5 | 2 | -6245 | 4380 | -1865/2 |\n\nThe width ladder is 8993→9775→10625. The expanded coordinates are generated images under this operation even when a number separately belongs to a native field. This report adds the center calculation to C04’s established endpoint analysis.\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**14 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"}]}