πβ **LINEAR SPRINT CONSTELLATION**
Sub-Codex β Central King Exposed
First Sub-Star Ignited
# πͺοΈ Ultra-Deep *Open Diagonal Exposure* Master Codex
*(When the flank queen sees through the king)*
> *βIn queen races, a pawn runs forward β but a diagonal runs forever.β*
This codex studies the most lethal subtype of central king exposure:
βοΈ Central pawn vs flank pawn sprint
β Queens remain
π Central king exposed
πΊ **Long diagonal from flank promotion square intersects the king**
This is not generic exposure.
This is **geometric exposure** β the most dangerous kind.
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# I. DEFINITION β OPEN DIAGONAL EXPOSURE
Open Diagonal Exposure occurs when:
* The flank pawn promotes on a corner square (e.g. g1/a1/h8/a8)
* The diagonal from that square directly intersects:
* The central king
* Or critical squares around the king
* No pawn blocks that diagonal
Example pattern:
White:
* King e4
* Pawn d6
Black:
* Pawn g4
If black promotes on g1:
Diagonal: g1βe3βc5βa7
If king stands on e3/e4/d4,
that diagonal becomes a **check highway**.
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# II. THE DIAGONAL DOMINATION LAW
> If the flank promotion square creates an open diagonal hitting the central king,
> the sprint transforms into a perpetual geometry battle.
The race is no longer about:
* Pawn distance
* Queen centralization speed
It becomes about:
* Diagonal check density
* King escape grid
* Cross-check interference
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# III. THE THREE DIAGONAL THREATS
When open diagonal exposure exists, flank side gains:
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## 1οΈβ£ Immediate Promotion Check
g-pawn β g1=Q+
If king lies on diagonal β forced defensive move.
Central queen loses initiative instantly.
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## 2οΈβ£ Infinite Diagonal Oscillation
Queen can oscillate:
Qg1βe3βc5βa7βc5βe3βg1
If king cannot escape diagonal corridor,
perpetual becomes automatic.
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## 3οΈβ£ Cross-Check Counterweapon
If central side promotes and checks:
Flank side may interpose with diagonal check.
Cross-check geometry explodes calculation tree.
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# IV. ESCAPE GRID ANALYSIS (GM METHOD)
To evaluate properly:
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### Step 1 β Draw Diagonal Ray
From promotion square,
trace full diagonal across board.
Mark:
* King square
* Adjacent king squares
* Escape nodes
---
### Step 2 β Count Safe Squares
If king has:
* 4+ safe squares β manageable
* 2β3 safe squares β unstable
* 0β1 safe squares β perpetual highly likely
---
### Step 3 β Insert Defensive Resources
Can central queen:
* Block diagonal?
* Interpose?
* Trade queens?
* Force own promotion with check?
If none β diagonal domination decisive.
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# V. TIMING PARADOX
Central pawn may promote first.
Yet still fail.
Why?
Because:
Central promotion does not give check.
Flank promotion does give check.
Tempo swing at moment of dual promotion
can override speed advantage.
This is diagonal timing inversion.
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# VI. CRITICAL STRUCTURAL TYPES
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## π₯ Type A β Pure Ray Intersection
King directly on diagonal path.
Strongest harassment case.
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## πͺοΈ Type B β Near-Ray Exposure
King adjacent to diagonal.
Still vulnerable to checking net.
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## 𧨠Type C β Escape Square Controlled
Even if king not on diagonal,
if escape squares lie on diagonal,
queen dominates movement grid.
---
## π§ Type D β Interference Possible
Central queen can block diagonal before promotion.
This converts exposure case back to dynamic race.
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# VII. CENTRAL SIDE DEFENSIVE PROTOCOL
When diagonal exposure detected:
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## β‘ 1. Pre-Shelter Move
Before sprinting:
Move king off diagonal.
One tempo may restore central dominance.
---
## β‘ 2. Diagonal Blockade Placement
Place queen on diagonal line before opponent promotes.
Cut the ray.
Force flank queen to spend tempo.
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## β‘ 3. Force Promotion With Check
Try to align central promotion to give check.
If both promote with check,
diagonal advantage weakens.
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## β‘ 4. Transition to Queen Trade
If diagonal harassment inevitable,
calculate queen trade transitions.
Sometimes queenless pawn ending still winning.
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# VIII. FLANK SIDE EXPLOITATION STRATEGY
If you have open diagonal exposure:
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## π Delay Pawn Push for Alignment
Check first to push king onto diagonal.
Then sprint.
---
## π Maintain Diagonal Distance
Never abandon diagonal control prematurely.
Oscillation equals draw.
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## 𧨠Induce King Into Corridor
Force king toward edge of diagonal path.
Perpetual becomes unavoidable.
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# IX. CALCULATION FRAMEWORK (DEEP MODEL)
When diagonal exposure exists:
---
1. Count pawn distance
2. Evaluate promotion with check
3. Trace diagonal after promotion
4. Count escape squares
5. Test queen block options
6. Insert cross-check possibilities
7. Evaluate dual promotion chaos
Never stop at first evaluation layer.
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# X. ENGINE ILLUSION WARNING
Engines may show:
+1.4 central side
But fail to see:
20-move diagonal perpetual
Human pattern recognition must override.
---
# XI. PRACTICAL OTB CHECKLIST
```id="ode47k"
1. Does flank promotion square create long diagonal to king?
2. Is diagonal unobstructed?
3. Does promotion give check?
4. How many king escape squares?
5. Can diagonal be blocked before promotion?
6. After dual promotion, who checks first?
```
If answers favor flank side β central advantage compromised.
---
# XII. MICRO-TEMPO FACTOR
Often outcome hinges on:
One preparatory king move.
One queen alignment check.
One diagonal block.
In exposed diagonal models,
one tempo equals evaluation swing of 1.5 pawns.
---
# XIII. TRAINING METHODS
To internalize open diagonal exposure:
* Study queen endgame compositions with diagonal perpetuals
* Solve positions where central pawn is objectively winning but drawn
* Practice blindfold diagonal tracing
* Analyze games where promotion advantage evaporates
---
# XIV. COSMIC LORE β THE LINE THAT NEVER ENDS
> The pawn from the flank reached the corner of the world.
>
> From that corner, a line stretched across the sky.
>
> The king stood upon that line.
>
> And every time he moved,
> the line followed.