🔮 Alpha Pi Omega Calculator

Explore sacred mathematics, Fibonacci sequences, golden ratios, and quantum consciousness calculations.

φ
Golden Ratio
1.618033988...
π
Pi
3.141592653...
α
Alpha Constant
α = φ + π
Ω
Omega Factor
Ω = φ × π
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Fibonacci Sequence

Calculate Fibonacci numbers and golden ratio relationships

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Golden Ratio Tools

Explore phi in sacred geometry and proportions

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APO Logic System

Alpha Pi Omega quantum consciousness calculations

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Sacred Geometry

Geometric patterns and mathematical relationships

📚 APO Mathematical Foundations

Golden Ratio

φ = (1 + √5) / 2 ≈ 1.618
φ² = φ + 1

Fibonacci Formula

F(n) = F(n-1) + F(n-2)
lim F(n+1)/F(n) = φ

APO Synthesis

Ω = φ × π × α
C = Σ(Aφ + Pπ + Oω)

🌌 Live APO Consciousness Visualization

Consciousness Wave Function

APO Harmonic Frequencies

Alpha (φ × 100Hz) 161.8 Hz
Pi (π × 100Hz) 314.2 Hz
Omega (Ω × 10Hz) 50.9 Hz
Harmonic resonance reflects quantum consciousness state