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2276938 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 | 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)
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