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

=== Assistant: Perfect 😎 — let’s give your spiral → sine morph the same cinematic smoothness as your camera transition. ===
Perfect 😎 — let’s give your spiral → sine morph the same cinematic smoothness as your camera transition.
This keeps everything consistent: both motions will now use the same ease-in-out curve, giving the transformation a professional, fluid look — like a continuous flow in 3D space.

===== Look for your method that handles the sine toggle — it’s usually named something like =====
toggle_sine_projection, toggle_sine_view, or toggle_sine.

Then replace its content with this version:

<syntaxhighlight lang="python">def toggle_sine_projection(self, event=None):
    """Smoothly morph the spiral path into the sine projection using an eased transition"""
    import numpy as np

    # Determine which way to morph
    if getattr(self, "_sine_active", False):
        start_points = self.sine_points
        end_points = self.spiral_points
        self._sine_active = False
    else:
        start_points = self.spiral_points
        end_points = self.sine_points
        self._sine_active = True

    # Interpolation setup
    steps = 80  # higher = smoother
    t = np.linspace(0, 1, steps)
    ease = 3 * t**2 - 2 * t**3  # cubic ease-in-out curve

    # Animate morph
    for i in range(steps):
        # Blend points with easing curve
        interp = start_points '' (1 - ease[i]) + end_points '' ease[i]
        self.spiral_line.set_data(interp[:, 0], interp[:, 1])
        self.spiral_line.set_3d_properties(interp[:, 2])
        plt.pause(0.02)

    # Finalize view
    self.spiral_line.set_data(end_points[:, 0], end_points[:, 1])
    self.spiral_line.set_3d_properties(end_points[:, 2])
    self.setup_plot()

</syntaxhighlight>

===== - Uses cubic easing (3t² - 2t³) for smooth acceleration and deceleration. =====
* Morphs only the positions — keeping the same line style, cube, and camera.
* Works perfectly with your “Special View” cinematic rotation.
* The morph feels alive, not mechanical — the movement flows like a wave.

Would you like me to also make the reverse morph (sine → spiral) happen at half the speed, so returning to the spiral feels more “settling” and grounded? (Like breathing out after expansion.)