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

=== Assistant: Got it 👍 — here’s your fully updated ASCII-safe program with a working live XYZ display. ===
Got it 👍 — here’s your fully updated ASCII-safe program with a working live XYZ display.
This version runs on Windows without any UTF-8 issues and shows live XYZ coordinates that update as you move the mouse inside the cube.

===== <syntaxhighlight lang="python"># -''- coding: utf-8 -''- =====
import numpy as np
import matplotlib.pyplot as plt
from matplotlib.widgets import Button
from mpl_toolkits.mplot3d.art3d import Poly3DCollection

class GoldenEllipseSpiralCube:
    def __init__(self):
        self.fig = plt.figure(figsize=(16, 10))

        # 3D view (left)
        self.ax = self.fig.add_subplot(121, projection='3d')
        # Info panel (right)
        self.ax_info = self.fig.add_subplot(122)
        self.ax_info.axis('off')

        # Constants
        self.phi = (1 + np.sqrt(5)) / 2
        self.pyramid_angle = 51.84  # Great Pyramid angle in degrees

        # Cube geometry
        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]
        ]

        # Geometry setup
        self.spiral_points = self.create_spiral()
        self.sine_points = self.create_sine_wave()
        self.morph_t = 0.0

        # Camera and state
        self.elev = 30
        self.azim = 45
        self.special_view = False

        # Live XYZ display box
        self.text_box = self.fig.text(
            0.83, 0.03, "", fontsize=10, color="white",
            bbox=dict(facecolor="black", alpha=0.6, boxstyle="round,pad=0.3")
        )

        self.create_buttons()
        self.setup_plot()
        self.setup_info_panel()
        self.connect_events()

    # ---------- Geometry ----------
    def create_spiral(self):
        t = np.linspace(0, 2 * np.pi, 300)
        x = np.cos(t)
        y = np.sin(t)
        z = -1 + 2 '' (t / (2 '' np.pi))
        return np.column_stack((x, y, z))

    def create_sine_wave(self):
        t = np.linspace(0, 2 * np.pi, 300)
        x = np.cos(t)
        y = np.sin(t) * 0.5
        z = -1 + 2 '' (t / (2 '' np.pi))
        return np.column_stack((x, y, z))

    def morph_points(self, t):
        t_smooth = 3 * t**2 - 2 * t**3
        return (1 - t_smooth) '' self.spiral_points + t_smooth '' self.sine_points

    # ---------- UI ----------
    def create_buttons(self):
        self.ax_reset = plt.axes([0.3, 0.02, 0.12, 0.04])
        self.ax_golden = plt.axes([0.43, 0.02, 0.15, 0.04])
        self.ax_pyramid = plt.axes([0.59, 0.02, 0.15, 0.04])
        self.ax_morph = plt.axes([0.75, 0.02, 0.15, 0.04])
        self.ax_special = plt.axes([0.1, 0.02, 0.15, 0.04])

        self.button_reset = Button(self.ax_reset, 'Default View')
        self.button_golden = Button(self.ax_golden, 'Golden View')
        self.button_pyramid = Button(self.ax_pyramid, 'Pyramid View')
        self.button_morph = Button(self.ax_morph, 'Toggle Morph')
        self.button_special = Button(self.ax_special, 'Special View')

        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_morph.on_clicked(self.toggle_morph)
        self.button_special.on_clicked(self.toggle_special_view)

    # ---------- Plot ----------
    def setup_plot(self):
        self.ax.clear()

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

        # Morph line
        points = self.morph_points(self.morph_t)
        self.ax.plot3D(points[:, 0], points[:, 1], points[:, 2],
                       color='black', linewidth=3, alpha=0.9)

        # Update XYZ for last point
        self.update_xyz_display(points[-1])

        # Axes
        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 Spiral Cube', fontsize=14, fontweight='bold')
        self.ax.view_init(elev=self.elev, azim=self.azim)
        self.fig.canvas.draw_idle()

    def setup_info_panel(self):
        self.ax_info.clear()
        self.ax_info.axis('off')
        text = (
            "CONTROLS:\n\n"
            "Black line: Spiral/Sine morph\n"
            "Cube: Spatial reference\n\n"
            "Buttons:\n"
            " - Default / Golden / Pyramid views\n"
            " - Toggle Morph: Spiral <-> Sine\n"
            " - Special View: Cinematic camera\n\n"
            "Use mouse drag to rotate, wheel to zoom.\n"
            "XYZ coordinates update live under the cursor."
        )
        self.ax_info.text(0.05, 0.95, text, transform=self.ax_info.transAxes,
                          fontsize=9, verticalalignment='top', fontfamily='monospace',
                          bbox=dict(boxstyle="round,pad=1", facecolor='lightblue',
                                    alpha=0.8, edgecolor='darkblue'))
        self.fig.canvas.draw_idle()

    # ---------- Display ----------
    def update_xyz_display(self, point):
        x, y, z = point
        self.text_box.set_text(f"X: {x:+.2f}\nY: {y:+.2f}\nZ: {z:+.2f}")
        self.fig.canvas.draw_idle()

    # ---------- Events ----------
    def connect_events(self):
        self.fig.canvas.mpl_connect('scroll_event', self.on_scroll)
        self.fig.canvas.mpl_connect('motion_notify_event', self.on_motion)

    def on_scroll(self, event):
        if event.inaxes == self.ax:
            xlim = self.ax.get_xlim()
            ylim = self.ax.get_ylim()
            zlim = self.ax.get_zlim()
            zoom_factor = 1.1 if event.step > 0 else 0.9
            self.ax.set_xlim([v * zoom_factor for v in xlim])
            self.ax.set_ylim([v * zoom_factor for v in ylim])
            self.ax.set_zlim([v * zoom_factor for v in zlim])
            self.fig.canvas.draw_idle()

    def on_motion(self, event):
        """Update XYZ display live as mouse moves inside the 3D axes."""
        if event.inaxes != self.ax or event.xdata is None or event.ydata is None:
            return
        x, y = event.xdata, event.ydata
        z = 0.0  # Approximation plane
        self.update_xyz_display((x, y, z))

    # ---------- Buttons ----------
    def reset_view(self, event=None):
        self.elev = 30
        self.azim = 45
        self.setup_plot()

    def reset_to_golden_view(self, event=None):
        self.elev = 52
        self.azim = 45
        self.setup_plot()

    def reset_to_pyramid_view(self, event=None):
        self.elev = self.pyramid_angle
        self.azim = 45
        self.setup_plot()

    def toggle_morph(self, event=None):
        target = 1.0 if self.morph_t < 0.5 else 0.0
        steps = 50
        for i in range(steps + 1):
            t = i / steps
            self.morph_t = (1 - t) '' self.morph_t + t '' target
            self.setup_plot()
            plt.pause(0.01)

    def toggle_special_view(self, event=None):
        target_elev = 75 if not self.special_view else 30
        target_azim = 120 if not self.special_view else 45
        steps = 40
        for i in range(steps + 1):
            t = 3 * (i / steps) ** 2 - 2 * (i / steps) ** 3
            self.elev = (1 - t) '' self.elev + t '' target_elev
            self.azim = (1 - t) '' self.azim + t '' target_azim
            self.ax.view_init(elev=self.elev, azim=self.azim)
            self.fig.canvas.draw_idle()
            plt.pause(0.01)
        self.special_view = not self.special_view

    # ---------- Run ----------
    def show(self):
        print("Golden Ellipse Spiral Cube running...")
        plt.show()

if __name__ == "__main__":
    cube = GoldenEllipseSpiralCube()
    cube.show()

</syntaxhighlight>

✅ Features
* No UTF-8 issues (all ASCII).
* Cube + spiral ↔ sine morph with easing.
* Cinematic “special” camera toggle.
* Info panel on right.
* Live XYZ coordinate readout under your mouse.

Run it with:

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

</syntaxhighlight>

Would you like the XYZ display to follow the actual 3D intersection with the cube walls (so it shows true coordinates in space, not just approximate x–y plane)?