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MathOS Master Diagram v0.1 (One-Panel Engine + Under-Load Phases + FenceOS + Recovery)

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PAGE_START
PageID: EDUKATE::MATHOS::MASTER_DIAGRAM_01
Slug: /mathos-master-diagram-v0-1/
Title: MathOS Master Diagram v0.1 (One-Panel Engine + Under-Load Phases + FenceOS + Recovery)
Version: v0.1 (LOCK)
Parent: /mathos-runtime-control-tower-v0-1/
Intent:

  • Provide the single master diagram spec (CivOS parity requirement)
  • One panel that can be rendered as SVG/image later
  • Includes: EngineChain, P0–P3, sensors, thresholds, failure atlas loop, recovery corridors loop
    GrammarLock:
    Place×Lane×Zoom×Role×Type×ID
    Lane: MATH

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NOTE
This page is a diagram SPEC in almost-code.
You (or future tool) can render it as:
– SVG
– PNG
– simple infographic
The meaning is locked by the structure below.

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DIAGRAM_SPEC::MATHOS_ONE_PANEL

CANVAS:
Layout: 3 rows × 2 columns
Width: 1200
Height: 800
Style: minimal, black/white, high contrast
Title: “MathOS v0.1 — Engine + Phase Under Load + FenceOS + Recovery”

PANEL_A (Top-Left): ENGINE CHAIN (How math works)

A_Title: “ENGINE (Truth → Model → Decision)”
A_BoxChain:
AXIOMS
-> DEFINITIONS (meaning locks)
-> RULES (legal moves)
-> DEDUCTION / PROOF (validity chain)
-> THEOREMS (reusable invariants)
-> MODELS (world ↔ math mapping)
-> DECISIONS (prediction/optimization/control)
A_FooterLink:
/how-mathematics-works/

PANEL_B (Top-Right): PHASES UNDER LOAD (P0–P3)

B_Title: “PHASE UNDER LOAD (Reliability)”
B_Band:
P3: builder (corridors/models)
P2: transfer-stable (same structure, different skin)
P1: template-only (familiar skins only)
P0: panic/guessing (meaning collapse)
B_Arrows:
Load↑ triggers: P2→P1→P0 (phase slip)
Repair triggers: P0→P1→P2→P3 (recovery corridors)
B_Links:
/math-phase-slip-why-students-panic/
/mathos-recovery-corridors-p0-to-p3/

PANEL_C (Mid-Left): CORE SENSORS (Z0 Student)

C_Title: “SENSORS (Z0 Student)”
C_List:
SML: Symbol-Meaning Lock
EQ : Equivalence stability
TR : Transfer rate (3-skin packs)
LS : Load shear (timed vs untimed)
CHOICE: strategy selection (structure tag)
ORA: verification habit (sanity checks + first illegal step)
TB : time bleed (triage failure)
C_Links:
/mathos-sensors-pack-v0-1/
/mathos-fenceos-threshold-table-v0-1/

PANEL_D (Mid-Right): FENCEOS THRESHOLDS (Stop-Loss)

D_Title: “FENCEOS (Thresholds → Actions)”
D_TriggerRules (compact):
Fence_P0:
if (LS high) AND (SML low) -> TRUNCATE timing, rebuild meaning
Fence_P1:
if (TR < 0.4) -> stop templates, run 3-skin packs
Promote_P2:
if (TR >= 0.7) AND (ORA present) -> timed ladder entry
Promote_P3:
if (ORA strong) AND (CHOICE strong) -> sandbox allowed
D_ActionChain:
Sensors -> Thresholds -> Truncate -> Stitch -> Retest -> Re-Enter
D_Links:
/mathos-fenceos-threshold-table-v0-1/
/math-fenceos-stop-loss-for-exam-mistakes/
/math-truncation-and-stitching-recovery-protocol/

PANEL_E (Bottom-Left): FAILURE ATLAS LOOP

E_Title: “FAILURE ATLAS (Name → Repair)”
E_Content:

  • PatternIDs MATH_FAIL_001..030
  • Each entry includes:
    Trigger → FailureTrace → Sensors → Truncate → Stitch → Retest
    E_ExampleRow (one-line):
    MATH_FAIL_001 Template Illusion -> TR low -> 3-skin packs -> TR retest
    E_Links:
    /mathos-failure-atlas-v0-1/

PANEL_F (Bottom-Right): RECOVERY CORRIDORS (Indexed Procedures)

F_Title: “RECOVERY CORRIDORS (RC_###)”
F_Content:
RC_001 P0 stop-loss
RC_002 SML rebuild
RC_004 TR repair (3-skin)
RC_009 timed re-entry ladder
RC_010 word→model corridor
RC_012 sandbox safety reset
F_Rule:

  • corridor chosen by dominant sensor trigger
  • corridor passes only with Retest
    F_Links:
    /mathos-recovery-corridors-p0-to-p3/

FOOTER_STRIP (across bottom)

Footer_Title: “CivOS Symmetry Link (Society-Level Threshold)”
Footer_Text:
ProjectionUnlock if f_math(P2) + EDU_PIPE + ORA_NORM + UNIT_STD are high
Footer_Links:
/math-threshold-why-societies-suddenly-scale/
/symmetry-of-mathematics-genesis-selfie/
/mathos-in-12-lines/

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RENDER_NOTES (optional)

  • Use arrows for flow; no colors required
  • Keep text short; prefer icons only if stable
  • Each panel title must remain exactly as above (lock)

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RELATED_PAGES
Links:

  • /mathos-runtime-control-tower-v0-1/
  • /mathos-sensors-pack-v0-1/
  • /mathos-fenceos-threshold-table-v0-1/
  • /mathos-failure-atlas-v0-1/
  • /mathos-recovery-corridors-p0-to-p3/
  • /mathos-data-adapter-spec-v0-1/
  • /mathos-in-12-lines/

NEXT_OUTPUT (if you say “Next”)
PageID: EDUKATE::MATHOS::REG_ERROR_TAX_01
slug: /mathos-registry-error-taxonomy-v0-1/
(start registries: Error taxonomy -> Skill nodes -> Concept nodes -> Binds -> Methods -> Transfer packs)

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