# 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]].

| s | LXX ON Shem BC | LXX OFF Flood BC | Alternate MT Flood AD | SP Noah AD | First center gap | Second center gap |
|---|---|---|---|---|---|---|
| 2 | 6348 | 5288 | 2645 | 3705 | 869 | 191 |
| 3 | 6347 | 5287 | 2646 | 3706 | 869 | 191 |
| 4 | 6346 | 5286 | 2647 | 3707 | 869 | 191 |
| 5 | 6345 | 5285 | 2648 | 3708 | 869 | 191 |
| 6 | 6344 | 5284 | 2649 | 3709 | 869 | 191 |
| 7 | 6343 | 5283 | 2650 | 3710 | 869 | 191 |

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/`.