Research action

The second realization of the598 triangle

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Study sequence: 529 Mirror scaffold, placement premises and source paths (C266–C310) · Mirror & 529

C280 — LXX ON / restored MT realization of the triangle

24 September2026. Selected after C279 joined the8395 and17K families.

All six598/8395/8993 triangles survive in the documented second realization. Native cumulative LXX ON is paired with regular MT Cainan ON, Terah+60, full430. No SP companion is assumed in this Flood-only result.

jCumulative Shem signedCumulative Flood partner signedReflected MT Flood
2−6348−57502645 G1 close
3−6347−57492646 G1 start
4−6346−57482647 G2 close
5−6345−57472648 G2 start
6−6344−57462649 G3 close
7−6343−57452650 G3 start

Every row has598 between the two cumulative sources,8395 from cumulative Flood to reflected regular Flood, and8993 from cumulative Shem to that same regular Flood. The registered MT baseline values plus130 regular Cainan and60 Terah reproduce the bilateral source table exactly. Both seasonal components agree along both routes.

The equality of the coordinate displacement has two different explanations. Cumulative OFF→ON adds460 to the BC numeral and therefore subtracts460 from the signed center. On the reflected regular side, replacing SP by MT changes the BC numeral by−650, then the selected130 and60 restorations give−460. Thus the whole signed triangle is translated by−460. This is a comparison between qualified states, not one historical operation applied indiscriminately to every node.

No regular cumulative-Cainan460 operator has been introduced: regular Cainan remains130. No cumulative Terah+60 has been imposed. The native cumulative bases are5750 and6350; annual field indices retain their prior meaning and receive no Gear.

The result shows covariance of the complete triangle, beyond preservation of its8395 edge alone. It does not independently establish an absolute local placement. A corresponding change of local-map intercepts would be required to keep every local image unchanged; that requirement is a separate operation and was not imposed here.

Thirty-seven mathematical/domain checks and nine source-authentication checks pass. Two readouts replay identically. Author review only; canonical files and C127 remain unchanged.

Best next bounded step — C281: test the Noah side of this second realization. MT has no SP companion rail, so determine exactly which600 rectangles and598/602 crosspairs retain admissible Noah records. High is sufficient.

Edition and provenance

490d_C280_LXX_ON_MT_Restored_Triangle_20260924.md

SHA-256 30a61f9b12cafe811eb96951a6c32e49ae1bbfb498bc8ae0dc9509c6eeae7d9a

C01–C479/packets/C280/490d_C280_LXX_ON_MT_Restored_Triangle_20260924.md