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

=== Assistant: Excellent — adding a slider for elevation angle will make your visualization even more interactive and educational. ===
Excellent — adding a slider for elevation angle will make your visualization even more interactive and educational.

Here’s how we’ll enhance your GoldenEllipseSpiralCube class:
* Add a matplotlib Slider widget below the plot.
* It will control the elevation angle (from 0° to 90°).
* As you move the slider, the red dashed ellipse will update in real time to show how the circle compresses into the golden ellipse.

===== You only need to add or replace the following sections inside your class: =====

<syntaxhighlight lang="python">from matplotlib.widgets import Button, Slider  # ✅ add Slider import

class GoldenEllipseSpiralCube:
    def __init__(self):
        self.fig = plt.figure(figsize=(16, 10))
        self.ax = self.fig.add_subplot(121, projection='3d')
        self.ax_info = self.fig.add_subplot(122)
        self.ax_info.axis('off')

        self.phi = (1 + np.sqrt(5)) / 2
        self.pyramid_angle = 51.84

        # Cube setup (same as before)
        self.vertices = np.array([
            [-1, -1, -1], [1, -1, -1], [1, 1, -1], [-1, 1, -1],
            [-1, -1, 1], [1, -1, 1], [1, 1, 1], [-1, 1, 1]
        ])
        self.faces = [
            [0, 1, 2, 3], [4, 5, 6, 7],
            [0, 1, 5, 4], [2, 3, 7, 6],
            [0, 3, 7, 4], [1, 2, 6, 5]
        ]
        self.face_colors = [
            [1, 0, 0, 0.05], [0, 1, 0, 0.05],
            [0, 0, 1, 0.05], [1, 1, 0, 0.05],
            [1, 0, 1, 0.05], [0, 1, 1, 0.05]
        ]

        self.spiral_points = self.create_circle_projection_spiral()
        self.circle_projection = self.create_circle_projection()
        self.golden_ellipse_points = self.create_golden_ellipse_projection()

        self.elev = 30
        self.azim = 45
        self.dragging = False
        self.prev_mouse = None

        self.create_buttons()
        self.create_slider()  # ✅ new function
        self.setup_plot()
        self.setup_info_panel()
        self.connect_events()

    # ✅ NEW FUNCTION: create slider for elevation angle
    def create_slider(self):
        """Add a slider to control elevation angle interactively."""
        slider_ax = plt.axes([0.3, 0.08, 0.45, 0.03])
        self.slider_elev = Slider(
            slider_ax, 'Elevation (°)', 0, 90, valinit=self.elev, valstep=0.5
        )
        self.slider_elev.on_changed(self.update_elevation)

    def update_elevation(self, val):
        """Called when the slider value changes."""
        self.elev = self.slider_elev.val
        self.ax.view_init(elev=self.elev, azim=self.azim)

        # Recalculate perspective ellipse dynamically
        for line in self.ax.lines[:]:  # remove old red dashed ellipse
            if line.get_linestyle() == '--':
                line.remove()

        perspective_ellipse = self.calculate_perspective_ellipse(self.elev)
        self.ax.plot3D(
            perspective_ellipse[:, 0],
            perspective_ellipse[:, 1],
            perspective_ellipse[:, 2],
            color='red', linewidth=2, linestyle='--', alpha=0.8
        )
        self.fig.canvas.draw_idle()

</syntaxhighlight>

That’s all you need to add — the rest of your class remains the same.

===== - When you move the Elevation (°) slider, it updates: - The camera’s vertical angle. - The red dashed ellipse (the perspective distortion of the circle). =====
* This visually shows how at ~51.84°, the ellipse’s ratio closely matches the golden ratio.

Would you like me to modify your entire script with this slider fully integrated (so you can copy–paste and run it directly)?