C56 — 20, 22 and 24 form a canonical-axis cumulative Mirror rectangle
22 September 2026 · Step 4 of the authorized ten-step Mirror continuation (C53–C62).
Use two source-qualified BC members: OFF cumulative Flood opening F=5290=10K and whole-year Aaron-side ON Shem S=6348=12K. Reflect each pair about the existing January AD 1 axis. The cross-axis widths are:
| BC source → reflected source | Width | Multiple |
|---|---|---|
| F → F | 10580 | 20 |
| F → S | 11638 | 22 |
| S → F | 11638 | 22 |
| S → S | 12696 | 24 |
The 20-fold and 24-fold self-Mirrors are concentric at the canonical axis. Their BC-side and AD-side margins are each S−F=1058. Each crossed interval is 22K=11638, giving the width progression 20K,22K,24K in steps of 2K.
This is a width identity from shared endpoints: 20K+24K=22K+22K. It is not a general date-averaging operator or four independent confirmations. The two crossed intervals are canonical reflections of one another. The determinant identity (2F)(2S)−(F+S)²=−(S−F)² records the same shared-endpoint dependence.
For the 24-fold pair, 6349t/6348n BC → AD 6348t/6349n gives 12696 in both seasonal civil components. This use of the whole-year member will receive an exact phase audit in C61.
At j=0 the MT cumulative ON Flood field also contains coordinate 5290, but that is a different typed role from the LXX OFF opening. The rectangle here uses the LXX role. Neither coincidence supplies the missing SP Noah 3703 or the out-of-field Creation candidate 4422. This is a cumulative-only construction, not an additional full 6877 join.
Validation. 10 exact arithmetic/structural checks passed. The 13 frozen dependencies passed hash verification; all three generated outputs replayed byte for byte in isolation, and the original dependencies remained unchanged. This step reads completed certificates and does not execute their campaigns.
Scope and provenance. Controlling File_18 and File_09 remain unchanged. Regular Gears apply only to Noah/Shem/Flood; SP person companions only to Noah/Shem. Creation and Conquest fields remain fixed. Native LXX ON, explicitly derived OFF, independent Flood start/close, and paired suffix inversion at January AD 1 remain in force. No civil year zero, upstream Gear transport, primers, Rounded campaign, or localized −33 is introduced. These are new continuation reports, not recovered historical Reports 11–25. Evidence is conditional on the supplied project model, not a proof of literary intention or independent historical dating.
Source locators. File_09 §0.4 rules 21–22 and the Creation Cell / Aaron Phase guard (week anatomy), §3 (paired Mirror); File_18 §§4.2 and 6A–6D (lifespans and cumulative fields); frozen C15/C16/C22 and C43/C46/C48/C50/C52 certificates (retained graph, unit, and domains).
Best next bounded step — High sufficient. Derive the six-year MT-ON/LXX-OFF Flood displacement from the named source lifespans.