Research action

C259 — The same six selections realize the inherited δ=2 square

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Study sequence: Coupled local/macro expansions and the sourced 6875 Flood closure (C206–C265) · Mirror & 529

C259 — The same six selections realize the inherited δ=2 square

23 September 2026 · Step 54 of 60, continuing C205.

Adding the retained +190 MT profile counterpart gives six δ=2 squares. Their equal sides are 1060=2K+2; the cross-width matrix is [[17K,19K+2],[15K−2,17K]].

sLXX ON Shem BCLXX OFF Flood BCAlternate MT Flood ADSP Noah ADFirst center gapSecond center gap
26348528826453705869191
36347528726463706869191
46346528626473707869191
56345528526483708869191
66344528426493709869191
76343528326503710869191

The center partition is 869+191=1060. This specializes the inherited C201 grammar; it is not the exact δ=0 /1058 square. The source relation 1060=600+460 uses the same-index cumulative Shem/Flood separation and retained profile displacement. Source-field support does not imply that every displayed node is already stored in C127.

Evidence and scope

K=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.

Regular 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.

31 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/.

Linked sources and evidence

Edition and provenance

490d_C259_529_Mirror_Bounded_Step_20260923.md

SHA-256 981d89bcc184014ef69922362250e99734a185a59ce45124ecae1638d48e1859

C01–C479/reference/490d_C01_C265_Complete_Window_Archive_20260923.zip!/workspace/mirror_C206_C265_529_Expansion_Centers_20260923/C259/490d_C259_529_Mirror_Bounded_Step_20260923.md