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Update README - GeoFractalDavid-Basin-k9 - Run 20251015_233559 - Acc 78.94%

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@@ -14,7 +14,7 @@ metrics:
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  - accuracy
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  library_name: pytorch
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  model-index:
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- - name: GeoFractalDavid-Basin-k4
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  results:
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  - task:
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  type: image-classification
@@ -23,29 +23,31 @@ model-index:
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  type: imagenet-1k
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  metrics:
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  - type: accuracy
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- value: 82.36
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  name: Validation Accuracy
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  ---
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- # GeoFractalDavid-Basin-k4: Geometric Basin Classification
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  **GeoFractalDavid** achieves classification through geometric compatibility rather than cross-entropy.
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  Features must "fit" geometric signatures: k-simplex shapes, Cantor positions, and hierarchical structure.
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  ## 🎯 Performance
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- - **Best Validation Accuracy**: 82.36%
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- - **Epoch**: 10/10
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- - **Training Time**: 26m 54s
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  ### Per-Scale Performance
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- - **Scale 576D**: 69.88%
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- - **Scale 640D**: 69.78%
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- - **Scale 704D**: 67.68%
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- - **Scale 768D**: 81.33%
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- - **Scale 832D**: 65.97%
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- - **Scale 896D**: 70.34%
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- - **Scale 960D**: 59.12%
 
 
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  ## 🏗️ Architecture
@@ -55,9 +57,9 @@ Features must "fit" geometric signatures: k-simplex shapes, Cantor positions, an
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  **Core Components**:
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  - **Feature Dimension**: 768
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  - **Number of Classes**: 1000
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- - **k-Simplex Structure**: k=4 (5 vertices per class)
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- - **Scales**: [576, 640, 704, 768, 832, 896, 960]
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- - **Total Simplex Vertices**: 5,000
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  **Geometric Components**:
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  1. **Feature Similarity**: Cosine similarity to k-simplex centroids
@@ -72,9 +74,9 @@ Each scale learns to weight these components differently.
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  The alpha parameter controls middle-interval weighting in the Cantor staircase.
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- - **Initial**: 0.4817
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- - **Final**: 0.0247
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- - **Change**: -0.4570
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  - **Converged to 0.5**: False
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  The Cantor staircase uses soft triadic decomposition with learnable alpha to map
@@ -85,40 +87,50 @@ features into [0,1] space with fractal structure.
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  Each class has a learned scalar Cantor prototype. The model pulls features toward
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  their class's Cantor position.
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  **Scale 576D**:
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- - Mean: 0.0753
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- - Std: 0.1164
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- - Range: [-0.0998, 0.4649]
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  **Scale 640D**:
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- - Mean: 0.0751
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- - Std: 0.1163
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- - Range: [-0.0999, 0.4648]
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  **Scale 704D**:
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- - Mean: 0.0753
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- - Std: 0.1164
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- - Range: [-0.0999, 0.4648]
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  **Scale 768D**:
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- - Mean: 0.0787
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- - Std: 0.1191
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- - Range: [-0.0950, 0.4677]
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  **Scale 832D**:
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- - Mean: 0.0750
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- - Std: 0.1163
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- - Range: [-0.0999, 0.4647]
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  **Scale 896D**:
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- - Mean: 0.0771
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- - Std: 0.1179
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- - Range: [-0.0978, 0.4663]
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  **Scale 960D**:
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- - Mean: 0.0761
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- - Std: 0.1170
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- - Range: [-0.0991, 0.4654]
 
 
 
 
 
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  Most classes cluster around 0.5 (middle Cantor region), with smooth spread across [0,1].
@@ -128,13 +140,15 @@ This creates a continuous manifold rather than discrete bins.
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  Each scale learns optimal weights for combining geometric components:
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- **Scale 576D**: Feature=0.791, Cantor=0.028, Crystal=0.182
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- **Scale 640D**: Feature=0.741, Cantor=0.029, Crystal=0.230
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- **Scale 704D**: Feature=0.640, Cantor=0.031, Crystal=0.329
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- **Scale 768D**: Feature=0.991, Cantor=0.001, Crystal=0.008
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- **Scale 832D**: Feature=0.613, Cantor=0.026, Crystal=0.362
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- **Scale 896D**: Feature=0.772, Cantor=0.002, Crystal=0.226
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- **Scale 960D**: Feature=0.252, Cantor=0.004, Crystal=0.743
 
 
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  **Pattern**: Lower scales rely on feature similarity, higher scales use crystal geometry.
 
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  - accuracy
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  library_name: pytorch
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  model-index:
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+ - name: GeoFractalDavid-Basin-k9
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  results:
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  - task:
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  type: image-classification
 
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  type: imagenet-1k
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  metrics:
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  - type: accuracy
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+ value: 78.94
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  name: Validation Accuracy
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  ---
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+ # GeoFractalDavid-Basin-k9: Geometric Basin Classification
31
 
32
  **GeoFractalDavid** achieves classification through geometric compatibility rather than cross-entropy.
33
  Features must "fit" geometric signatures: k-simplex shapes, Cantor positions, and hierarchical structure.
34
 
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  ## 🎯 Performance
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+ - **Best Validation Accuracy**: 78.94%
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+ - **Epoch**: 2/10
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+ - **Training Time**: 5m
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  ### Per-Scale Performance
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+ - **Scale 512D**: 78.05%
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+ - **Scale 576D**: 78.18%
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+ - **Scale 640D**: 78.17%
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+ - **Scale 704D**: 78.07%
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+ - **Scale 768D**: 77.93%
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+ - **Scale 832D**: 77.51%
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+ - **Scale 896D**: 77.29%
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+ - **Scale 960D**: 76.83%
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+ - **Scale 1024D**: 76.89%
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  ## 🏗️ Architecture
 
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  **Core Components**:
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  - **Feature Dimension**: 768
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  - **Number of Classes**: 1000
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+ - **k-Simplex Structure**: k=9 (10 vertices per class)
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+ - **Scales**: [512, 576, 640, 704, 768, 832, 896, 960, 1024]
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+ - **Total Simplex Vertices**: 10,000
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  **Geometric Components**:
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  1. **Feature Similarity**: Cosine similarity to k-simplex centroids
 
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  The alpha parameter controls middle-interval weighting in the Cantor staircase.
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+ - **Initial**: 0.4823
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+ - **Final**: 0.4067
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+ - **Change**: -0.0756
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  - **Converged to 0.5**: False
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  The Cantor staircase uses soft triadic decomposition with learnable alpha to map
 
87
  Each class has a learned scalar Cantor prototype. The model pulls features toward
88
  their class's Cantor position.
89
 
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+ **Scale 512D**:
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+ - Mean: 0.4160
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+ - Std: 0.1368
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+ - Range: [0.0494, 0.7292]
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+
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  **Scale 576D**:
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+ - Mean: 0.4171
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+ - Std: 0.1361
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+ - Range: [0.0492, 0.7291]
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  **Scale 640D**:
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+ - Mean: 0.4178
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+ - Std: 0.1356
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+ - Range: [0.0497, 0.7288]
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  **Scale 704D**:
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+ - Mean: 0.4183
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+ - Std: 0.1352
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+ - Range: [0.0495, 0.7274]
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  **Scale 768D**:
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+ - Mean: 0.4165
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+ - Std: 0.1294
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+ - Range: [0.0494, 0.6725]
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  **Scale 832D**:
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+ - Mean: 0.4172
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+ - Std: 0.1301
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+ - Range: [0.0493, 0.6754]
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  **Scale 896D**:
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+ - Mean: 0.4170
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+ - Std: 0.1329
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+ - Range: [0.0493, 0.6931]
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  **Scale 960D**:
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+ - Mean: 0.4173
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+ - Std: 0.1335
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+ - Range: [0.0495, 0.6973]
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+
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+ **Scale 1024D**:
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+ - Mean: 0.4171
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+ - Std: 0.1341
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+ - Range: [0.0497, 0.7015]
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  Most classes cluster around 0.5 (middle Cantor region), with smooth spread across [0,1].
 
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  Each scale learns optimal weights for combining geometric components:
142
 
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+ **Scale 512D**: Feature=0.688, Cantor=0.075, Crystal=0.237
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+ **Scale 576D**: Feature=0.646, Cantor=0.075, Crystal=0.279
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+ **Scale 640D**: Feature=0.609, Cantor=0.074, Crystal=0.317
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+ **Scale 704D**: Feature=0.599, Cantor=0.069, Crystal=0.332
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+ **Scale 768D**: Feature=0.855, Cantor=0.027, Crystal=0.118
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+ **Scale 832D**: Feature=0.800, Cantor=0.032, Crystal=0.168
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+ **Scale 896D**: Feature=0.704, Cantor=0.041, Crystal=0.255
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+ **Scale 960D**: Feature=0.667, Cantor=0.045, Crystal=0.289
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+ **Scale 1024D**: Feature=0.633, Cantor=0.046, Crystal=0.321
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  **Pattern**: Lower scales rely on feature similarity, higher scales use crystal geometry.