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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) | |