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

===== Replace your </code>toggle_sine_projection<code> and </code>setup_plot` functions with these improved ones. =====
Also, add one helper function animate_transition().

<syntaxhighlight lang="python">import matplotlib.animation as animation  # add near the top

=== Replace setup_plot ===
def setup_plot(self, alpha=1.0):
    self.ax.clear()

    # Draw cube faces
    for i, face in enumerate(self.faces):
        verts = self.vertices[face]
        poly = Poly3DCollection([verts], alpha=0.03)
        poly.set_facecolor(self.face_colors[i])
        poly.set_edgecolor("gray")
        self.ax.add_collection3d(poly)

    # Base spiral and ellipse
    s = self.spiral_points
    self.ax.plot3D(s[:, 0], s[:, 1], s[:, 2], color="black", linewidth=3)

    c = self.circle_projection
    self.ax.plot3D(c[:, 0], c[:, 1], c[:, 2], color="blue", linewidth=2)

    g = self.golden_ellipse_points
    self.ax.plot3D(g[:, 0], g[:, 1], g[:, 2], color="gold", linewidth=3)

    # Smooth blended path between spiral and sine (for animation)
    if self.sine_visible or alpha < 1.0:
        s_len = min(len(self.spiral_points), len(self.sine_projection_points))
        blended = (1 - alpha) '' self.spiral_points[:s_len] + alpha '' self.sine_projection_points[:s_len]
        self.ax.plot3D(blended[:, 0], blended[:, 1], blended[:, 2],
                       color="orange", linewidth=3)

    # Axes and limits
    self.ax.set_xlim([-1.5, 1.5])
    self.ax.set_ylim([-1.5, 1.5])
    self.ax.set_zlim([-1.5, 1.5])
    self.ax.set_xlabel("X Axis", fontweight="bold")
    self.ax.set_ylabel("Y Axis", fontweight="bold")
    self.ax.set_zlabel("Z Axis", fontweight="bold")
    self.ax.set_title("Golden Ellipse Phenomenon", fontweight="bold")

    self.ax.view_init(elev=self.elev, azim=self.azim)
    self.fig.canvas.draw_idle()

=== New helper for animation ===
def animate_transition(self, direction):
    frames = 50
    if direction == "on":
        alpha_values = np.linspace(0, 1, frames)
    else:
        alpha_values = np.linspace(1, 0, frames)

    def update(frame):
        self.setup_plot(alpha=frame)
        return []

    self.anim = animation.FuncAnimation(self.fig, update,
                                        frames=alpha_values,
                                        interval=30,
                                        blit=False,
                                        repeat=False)
    self.fig.canvas.draw_idle()

=== Replace toggle_sine_projection ===
def toggle_sine_projection(self, event=None):
    if not self.sine_visible:
        self.animate_transition("on")
        self.sine_visible = True
    else:
        self.animate_transition("off")
        self.sine_visible = False

</syntaxhighlight>