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fso_visualizer.py

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+import time
+import math
+
+class ManifoldVisualizer:
+    """
+    Law XII Component: The Aesthetic Eye
+    Visualizes the multi-dimensional distribution of TGI atoms in Z_m^k.
+    Projects Z_m^4 to a 2D (x, y) grid for terminal monitoring.
+    """
+    def __init__(self, m=256, k=4, screen_size=40):
+        self.m = m
+        self.k = k
+        self.screen_size = screen_size
+
+    def project_to_2d(self, coord):
+        """Project (x, y, z, w) in Z_m^4 to a 2D terminal (px, py) grid."""
+        # Simple projection: (x + z) mod screen_size, (y + w) mod screen_size
+        px = (coord[0] + coord[2]) % self.screen_size
+        py = (coord[1] + coord[3]) % self.screen_size
+        return px, py
+
+    def render_manifold(self, manifold):
+        """Draw the topological distribution of atoms in the terminal."""
+        grid = [[' ' for _ in range(self.screen_size)] for _ in range(self.screen_size)]
+        
+        # Populate the grid with atoms by fiber type
+        fiber_symbols = {1: 'L', 2: 'K', 3: 'A', 0: 'B'}
+        
+        for coord, atom in manifold.items():
+            px, py = self.project_to_2d(coord)
+            grid[py][px] = fiber_symbols.get(atom['fiber'], '*')
+
+        print("\n" + "=" * (self.screen_size + 2))
+        print(" TGI MANIFOLD MAP (L=Logic, K=Knowledge, A=Aesthetics)")
+        print("=" * (self.screen_size + 2))
+        for row in grid:
+            print("|" + "".join(row) + "|")
+        print("=" * (self.screen_size + 2))
+        print(f"Total Nodes: {len(manifold)} | Projection: (x+z, y+w) mod {self.screen_size}")
+
+if __name__ == "__main__":
+    visualizer = ManifoldVisualizer()
+    # Mock manifold
+    mock_manifold = {
+        (10, 20, 30, 40): {'fiber': 1},
+        (100, 150, 200, 250): {'fiber': 2},
+        (50, 50, 50, 50): {'fiber': 3},
+        (255, 0, 255, 0): {'fiber': 0}
+    }
+    visualizer.render_manifold(mock_manifold)