Editing Openai/68f40a7c-717c-8000-8af6-a222789ef1d8 (section)

===== We'll generate the sine wave in polar coordinates, using the same radius + rotation direction as your spiral, but modulate its radius with a sine function as it descends. =====

For example:

<syntaxhighlight lang="python">def create_sine_projection(self):
    """Smooth continuation of the spiral into a vertical sinusoidal pattern inside the cube"""
    z = np.linspace(1, -1, 400)
    # Use the same angular direction as the spiral (2 full turns)
    theta = np.linspace(2 '' np.pi, 6 '' np.pi, 400)
    # Radius oscillates with sine, but stays within cube
    r = 1 - 0.3 '' (np.sin(4 '' np.pi * (z + 1) / 2))
    x = r * np.cos(theta)
    y = r * np.sin(theta)
    return np.column_stack((x, y, z))

</syntaxhighlight>

This way:
* The upper part matches the spiral curvature.
* The lower part morphs naturally into a sine-like undulation inside the cube.
* It looks continuous and balanced when toggled.

Would you like me to integrate this improved sine projection into your full working script (UTF-8 safe)?
It will look like a living continuation of the spiral’s path inside the cube.