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=== Assistant: Perfect โ โ hereโs your ASCII-only, UTF-8-safe version of the full program. === Perfect โ โ hereโs your ASCII-only, UTF-8-safe version of the full program. You can copy this directly into Notepad or VS Code, save as GoldenEllipseSpiralCubeSLIDER_SINE_MORPH_SAFE_XYZ_ASCII.py, and it will run cleanly on Windows with py or python. ===== <syntaxhighlight lang="python"># -''- coding: utf-8 -''- ===== """ Golden Ellipse Spiral Cube - Smooth Morph + Live XYZ Display Author: ChatGPT (GPT-5) """ 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)) # Subplots self.ax = self.fig.add_subplot(121, projection="3d") 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 # Cube setup 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 self.spiral_points = self.create_spiral_points() self.sine_points = self.create_sine_points() self.circle_projection = self.create_circle_projection() self.golden_ellipse_points = self.create_golden_ellipse_projection() # View state self.elev = 30 self.azim = 45 self._sine_active = False # Plot + UI self.create_buttons() self.setup_plot() self.setup_info_panel() self.connect_events() # XYZ Display 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") ) # --------------------------------------------------------- # Geometry creation # --------------------------------------------------------- def create_spiral_points(self): t = np.linspace(0, 2 * np.pi, 200) 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_points(self): t = np.linspace(0, 2 * np.pi, 200) x = np.cos(t) y = np.sin(t) z = np.sin(2 '' t) '' 0.5 return np.column_stack([x, y, z]) def create_circle_projection(self): t = np.linspace(0, 2 * np.pi, 200) x = np.cos(t) y = np.sin(t) z = np.ones_like(t) return np.column_stack([x, y, z]) def create_golden_ellipse_projection(self): t = np.linspace(0, 2 * np.pi, 200) major = 1.0 minor = 1.0 / self.phi x = major * np.cos(t) y = minor * np.sin(t) z = np.ones_like(t) return np.column_stack([x, y, z]) # --------------------------------------------------------- # UI and events # --------------------------------------------------------- def create_buttons(self): self.ax_reset = plt.axes([0.25, 0.02, 0.12, 0.04]) self.ax_golden = plt.axes([0.38, 0.02, 0.15, 0.04]) self.ax_pyramid = plt.axes([0.54, 0.02, 0.15, 0.04]) self.ax_sine = plt.axes([0.70, 0.02, 0.15, 0.04]) 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 Morph") 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) def connect_events(self): self.fig.canvas.mpl_connect("button_press_event", self.on_press) self.fig.canvas.mpl_connect("button_release_event", self.on_release) self.fig.canvas.mpl_connect("motion_notify_event", self.on_motion) self.fig.canvas.mpl_connect("scroll_event", self.on_scroll) # --------------------------------------------------------- # Plot setup # --------------------------------------------------------- def setup_plot(self): self.ax.clear() # Cube faces 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) # Spiral or sine line points = self.sine_points if self._sine_active else self.spiral_points (self.spiral_line,) = self.ax.plot3D( points[:, 0], points[:, 1], points[:, 2], color="black", linewidth=3, alpha=0.9 ) # Circle and golden ellipse c = self.circle_projection g = self.golden_ellipse_points self.ax.plot3D(c[:, 0], c[:, 1], c[:, 2], color="blue", linewidth=2) self.ax.plot3D(g[:, 0], g[:, 1], g[:, 2], color="gold", linewidth=3) self.ax.view_init(elev=self.elev, azim=self.azim) 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_title("Golden Ellipse Spiral Cube", fontsize=14, fontweight="bold") self.ax.set_xlabel("X Axis") self.ax.set_ylabel("Y Axis") self.ax.set_zlabel("Z Axis") self.update_xyz_display(points[-1]) self.fig.canvas.draw_idle() def setup_info_panel(self): self.ax_info.clear() self.ax_info.axis("off") info = ( "CONTROLS:\n" "- Left panel: 3D view\n" "- Right panel: info\n" "- Click + drag: rotate\n" "- Mouse wheel: zoom\n" "- Buttons: switch views or morph spiral <-> sine" ) self.ax_info.text( 0.05, 0.95, info, transform=self.ax_info.transAxes, fontsize=10, va="top", family="monospace", bbox=dict(facecolor="lightblue", alpha=0.7) ) self.fig.canvas.draw_idle() # --------------------------------------------------------- # Interaction handlers # --------------------------------------------------------- def on_press(self, event): if event.inaxes == self.ax: self.dragging = True self.prev_mouse = (event.x, event.y) def on_release(self, event): self.dragging = False self.prev_mouse = None def on_motion(self, event): if not getattr(self, "dragging", False) or event.inaxes != self.ax: return dx, dy = event.x - self.prev_mouse[0], event.y - self.prev_mouse[1] self.azim += dx * 0.5 self.elev -= dy * 0.5 self.elev = np.clip(self.elev, -90, 90) self.ax.view_init(elev=self.elev, azim=self.azim) self.fig.canvas.draw_idle() self.prev_mouse = (event.x, event.y) def on_scroll(self, event): if event.inaxes != self.ax: return xlim, ylim, zlim = self.ax.get_xlim(), self.ax.get_ylim(), self.ax.get_zlim() xc, yc, zc = np.mean(xlim), np.mean(ylim), np.mean(zlim) factor = 1.1 if event.step > 0 else 0.9 xr, yr, zr = (xlim[1]-xlim[0])''factor, (ylim[1]-ylim[0])''factor, (zlim[1]-zlim[0])*factor self.ax.set_xlim([xc - xr/2, xc + xr/2]) self.ax.set_ylim([yc - yr/2, yc + yr/2]) self.ax.set_zlim([zc - zr/2, zc + zr/2]) self.fig.canvas.draw_idle() # --------------------------------------------------------- # Utility functions # --------------------------------------------------------- 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}") plt.draw() def toggle_sine_projection(self, event=None): """Smoothly morph the spiral into a sine pattern and back""" start = self.sine_points if self._sine_active else self.spiral_points end = self.spiral_points if self._sine_active else self.sine_points self._sine_active = not self._sine_active steps = 80 t = np.linspace(0, 1, steps) ease = 3 * t**2 - 2 * t**3 for i in range(steps): interp = start '' (1 - ease[i]) + end '' ease[i] self.spiral_line.set_data(interp[:, 0], interp[:, 1]) self.spiral_line.set_3d_properties(interp[:, 2]) self.update_xyz_display(interp[-1]) plt.pause(0.02) self.setup_plot() # --------------------------------------------------------- # View buttons # --------------------------------------------------------- def reset_view(self, event=None): self.elev, self.azim = 30, 45 self.setup_plot() def reset_to_golden_view(self, event=None): self.elev, self.azim = 52, 45 self.setup_plot() def reset_to_pyramid_view(self, event=None): self.elev, self.azim = self.pyramid_angle, 45 self.setup_plot() # --------------------------------------------------------- # Run # --------------------------------------------------------- def show(self): print("Golden Ellipse Spiral Cube - with Sine Morph + XYZ Display") print("Use buttons below to change views or morph paths.") plt.show() if __name__ == "__main__": cube = GoldenEllipseSpiralCube() cube.show() </syntaxhighlight> ===== 1. Open Notepad or VS Code. ===== # Paste the script above. # Save As โ UTF-8 encoding. # Run in PowerShell or CMD: ``<code>bash py GoldenEllipseSpiralCubeSLIDER_SINE_MORPH_SAFE_XYZ_ASCII.py </code>`` Would you like me to make the XYZ display numeric font larger and bright green (like a live 3D tracker HUD)?
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