import numpy as np
 
def generate_harmonic_field(base_freq=1.0, loops=3, resolution=1000):
    """
    Simulate a harmonic field using nested loops and triadic overlays.
    base_freq: starting frequency (symbolic anchor)
    loops: number of nested harmonic layers
    resolution: number of data points
    """
    time = np.linspace(0, 2 * np.pi, resolution)
    field = np.zeros_like(time)
 
    for i in range(1, loops + 1):
        harmonic = np.sin(base_freq * i * time) / i
        field += harmonic
 
    return time, field
 
def visualize_field(time, field, title="Triadic Harmonic Field"):
    import matplotlib.pyplot as plt
    plt.figure(figsize=(10, 4))
    plt.plot(time, field, color="#6600cc")
    plt.title(title)
    plt.xlabel("Time")
    plt.ylabel("Amplitude")
    plt.grid(True)
    plt.show()
 
if __name__ == "__main__":
    t, f = generate_harmonic_field(base_freq=1.0, loops=5)
    visualize_field(t, f)