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Knot Topology Lab Distance Matrix

Knot Configuration

Knot Type

Distance Metric

Time/Space Ratio (c)

Points (N)

Control Points

Physics Parameters

Target Edge Length

Edge Stiffness

Repulsion Strength

Repulsion Cutoff

Optimization

Optimizer

Learning Rate

Metric Optimization

Optimizes rotation to minimize/maximize required c for lightlike separation.

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Loss Function: L = L_edge + L_repel L_edge = k Σ(|pᵢ - pᵢ₊₁| - d₀)² L_repel = r Σᵢ\neqⱼ\pm₁ 1/(|pᵢ - pⱼ|² + ε)

Total Loss --

Edge Loss --

Repulsion --

Step 0

Min Distance --

Max Distance --

Avg Distance --

Distance Matrix D[i,j] = ||pᵢ - pⱼ||

2.0 1.0 0.0