#!/usr/bin/env python3 """ Universal Pioneer Plaque Stripped of simulation baggage - pure principles for aliens """ import numpy as np import matplotlib.pyplot as plt import matplotlib.patches as patches from matplotlib.patches import Circle, Rectangle, FancyArrowPatch import math PHI = (1 + math.sqrt(5)) / 2 fig, ax = plt.subplots(1, 1, figsize=(12, 12), dpi=200) ax.set_xlim(0, 100) ax.set_ylim(0, 100) ax.set_aspect('equal') ax.axis('off') fig.patch.set_facecolor('black') # === TOP: THE FUNDAMENTAL CONSTANT === # Phi - the universal harmonic # Golden spiral theta = np.linspace(0, 3*np.pi, 150) r = np.exp(theta * np.log(PHI) / (np.pi/2)) x_spiral = 50 + r * np.cos(theta) * 0.08 y_spiral = 88 + r * np.sin(theta) * 0.08 ax.plot(x_spiral, y_spiral, 'gold', linewidth=2) ax.text(50, 82, 'φ = 1.6180339887...', color='gold', fontsize=14, ha='center', fontweight='bold') ax.text(50, 78, 'THE HARMONIC CONSTANT', color='gray', fontsize=9, ha='center') # === LEFT: DISCRETE vs CONTINUOUS === # Show we understand reality has smallest unit ax.text(15, 72, 'DISCRETE', color='white', fontsize=10, ha='center', fontweight='bold') # Grid of discrete points for i in range(5): for j in range(5): ax.add_patch(Circle((8 + i*3, 58 + j*3), 0.8, facecolor='white')) ax.text(15, 55, 'REALITY HAS', color='gray', fontsize=8, ha='center') ax.text(15, 52, 'SMALLEST UNIT', color='gray', fontsize=8, ha='center') # === RIGHT: DUALITY === ax.text(85, 72, 'DUALITY', color='white', fontsize=10, ha='center', fontweight='bold') # Two complementary forms ax.add_patch(Circle((80, 65), 4, facecolor='white')) ax.add_patch(Circle((80, 65), 1.5, facecolor='black')) ax.add_patch(Circle((90, 65), 4, facecolor='black', edgecolor='white', linewidth=1)) ax.add_patch(Circle((90, 65), 1.5, facecolor='white')) ax.text(85, 58, 'ORDER ↔ COMPLEXITY', color='gray', fontsize=8, ha='center') # === CENTER: THE UNIVERSAL PATTERN === # Self-similar structure - the fractal echo ax.text(50, 48, 'SELF-SIMILARITY', color='white', fontsize=11, ha='center', fontweight='bold') # Nested squares showing same pattern at all scales colors = ['white', 'gray', 'darkgray', 'dimgray'] for i, c in enumerate(colors): size = 20 - i*4 offset = i*2 rect = Rectangle((40+offset, 22+offset), size, size, facecolor='none', edgecolor=c, linewidth=2-i*0.3) ax.add_patch(rect) ax.text(50, 18, 'SAME PATTERN', color='gray', fontsize=8, ha='center') ax.text(50, 15, 'ALL SCALES', color='gray', fontsize=8, ha='center') # === BOTTOM: PHASE TRANSITION === ax.text(50, 10, 'PHASE TRANSITION', color='white', fontsize=10, ha='center', fontweight='bold') # Show discontinuous jump (not smooth) ax.plot([30, 40], [6, 6], 'white', linewidth=3) ax.plot([40, 40], [6, 4], 'white', linewidth=3) # The jump ax.plot([40, 70], [4, 4], 'white', linewidth=3) ax.text(50, 2, 'DISCONTINUOUS', color='gray', fontsize=8, ha='center') # === LEFT BOTTOM: INFORMATION IS STRUCTURE === ax.text(15, 35, 'INFORMATION', color='cyan', fontsize=9, ha='center', fontweight='bold') ax.text(15, 32, '= STRUCTURE', color='cyan', fontsize=9, ha='center', fontweight='bold') # Pattern that IS the information for i in range(4): for j in range(4): if (i+j) % 2 == 0: ax.add_patch(Rectangle((10+i*2.5, 24+j*2.5), 2, 2, facecolor='cyan')) ax.text(15, 22, 'NOT STORED', color='gray', fontsize=7, ha='center') ax.text(15, 19, 'IS THE PATTERN', color='gray', fontsize=7, ha='center') # === RIGHT BOTTOM: THE EQUATION === ax.text(85, 35, '∇²ψ + ψ□ψ', color='white', fontsize=11, ha='center') ax.text(85, 31, '− ∂ₙψ + ε', color='white', fontsize=11, ha='center') ax.text(85, 27, '= φ²', color='gold', fontsize=14, ha='center', fontweight='bold') ax.text(85, 23, 'SINGLE FIELD', color='gray', fontsize=8, ha='center') plt.tight_layout() plt.savefig('D:/fractal-brain/beast-build/images/2026-03-23-universal-plaque.png', dpi=250, bbox_inches='tight', pad_inches=0.3, facecolor='black') plt.close() print("Universal Pioneer Plaque generated.") print("No simulation references. Pure universal principles.")