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

=== Assistant: That’s a fantastic enhancement — adding a sinusoidal projection like a sine wave wrapped through the cube or projected … ===
That’s a fantastic enhancement — adding a sinusoidal projection (like a sine wave wrapped through the cube or projected onto a face) will create a striking contrast against the geometric symmetry of the golden ellipse and the spiral.

Let’s do it in a clean, interactive way:
✅ Add a "Toggle Sine Projection" button.
✅ When clicked, it shows or hides a sine-wave path drawn on the front face (z = 1) of the cube.
✅ The wave will run along the X-axis and oscillate in Y.

Here’s the update section you can drop into your clean version (I’ll show exactly where to put it):

===== Replace your create_buttons method with this version: =====

<syntaxhighlight lang="python">def create_buttons(self):
    self.ax_reset = plt.axes([0.20, 0.02, 0.12, 0.04])
    self.ax_golden = plt.axes([0.33, 0.02, 0.15, 0.04])
    self.ax_pyramid = plt.axes([0.49, 0.02, 0.15, 0.04])
    self.ax_sine = plt.axes([0.65, 0.02, 0.18, 0.04])  # NEW sine projection button

    self.button_reset = Button(self.ax_reset, "Default View")
    self.button_golden = Button(self.ax_golden, "Golden Ratio View")
    self.button_pyramid = Button(self.ax_pyramid, "Pyramid Angle View")
    self.button_sine = Button(self.ax_sine, "Toggle Sine Projection")

    self.button_reset.on_clicked(self.reset_view)
    self.button_golden.on_clicked(self.reset_to_golden_view)
    self.button_pyramid.on_clicked(self.reset_to_pyramid_view)
    self.button_sine.on_clicked(self.toggle_sine_projection)  # NEW callback

</syntaxhighlight>

===== Right after self.create_slider() inside __init__, add these: =====

<syntaxhighlight lang="python">self.sine_visible = False
self.sine_line = None
self.sine_points = self.create_sine_projection()

</syntaxhighlight>

===== Add this new method anywhere in the class: =====

<syntaxhighlight lang="python">def create_sine_projection(self):
    """Generate a sine wave projection along the X axis on the front face (z=1)."""
    x = np.linspace(-1, 1, 300)
    y = 0.5 '' np.sin(3 '' np.pi * x)  # 1.5 oscillations across cube width
    z = np.ones_like(x)  # Projected onto front face (z = 1)
    return np.vstack((x, y, z)).T

</syntaxhighlight>

===== Add this new method too: =====

<syntaxhighlight lang="python">def toggle_sine_projection(self, event=None):
    """Toggle visibility of the sine projection."""
    if self.sine_visible:
        if self.sine_line:
            self.sine_line.remove()
            self.sine_line = None
        self.sine_visible = False
    else:
        s = self.sine_points
        self.sine_line, = self.ax.plot3D(
            s[:, 0], s[:, 1], s[:, 2],
            color="orange", linewidth=2.5, alpha=0.9,
            label="Sine Projection"
        )
        self.sine_visible = True

    self.fig.canvas.draw_idle()

</syntaxhighlight>

===== In the beginning of setup_plot(), right after self.ax.clear(), reset the sine state: =====

<syntaxhighlight lang="python">self.sine_line = None
self.sine_visible = False

</syntaxhighlight>

===== When you run the script: =====

<syntaxhighlight lang="bash">py GoldenEllipseSpiralCubeSLIDER.py

</syntaxhighlight>

You’ll see a new orange “Toggle Sine Projection” button below the other controls.
* Click once → A smooth orange sine wave appears across the cube’s front face (z=1).
* Click again → It disappears.
* You can still rotate, zoom, or change elevation interactively.

Would you like me to give you the full ready-to-run combined version (clean ASCII, slider, and sine button all integrated)?