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

=== Assistant: Perfect choice — the pure positional morph keeps the geometry clean and elegant especially for something golden-ratio t… ===
Perfect choice — the pure positional morph keeps the geometry clean and elegant (especially for something golden-ratio themed ✨).

Here’s the final, Windows-safe version of your script — including the new morph animation (no opacity fade, just shape transition).
You can copy–paste this entire version and run it directly with:

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

</syntaxhighlight>

<syntaxhighlight lang="python"># -''- coding: utf-8 -''-
=== GoldenEllipseSpiralCubeSLIDER_SINE_MORPH_SAFE.py ===
=== Windows-safe version with smooth spiral → sine morph ===

import numpy as np
import matplotlib.pyplot as plt
from matplotlib.widgets import Button
from mpl_toolkits.mplot3d.art3d import Poly3DCollection
import matplotlib.animation as animation

class GoldenEllipseSpiralCube:
    def __init__(self):
        self.fig = plt.figure(figsize=(12, 8))
        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

        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_circle_projection_spiral()
        self.circle_projection = self.create_circle_projection()
        self.golden_ellipse_points = self.create_golden_ellipse_projection()
        self.sine_projection_points = self.create_sine_projection()

        # State
        self.sine_visible = False
        self.elev = 30
        self.azim = 45

        # UI setup
        self.create_buttons()
        self.setup_plot()
        self.setup_info_panel()

    # ------------------------------------------------------------
    # Geometry generation
    # ------------------------------------------------------------
    def create_circle_projection_spiral(self):
        t = np.linspace(0, 2 * np.pi, 200)
        spiral = []
        for a in t:
            x = np.cos(a)
            y = np.sin(a)
            z = -1.0 + (a / (2 '' np.pi)) '' 2.0
            spiral.append([x, y, z])
        return np.array(spiral)

    def create_circle_projection(self):
        proj = []
        for p in self.spiral_points:
            proj.append([p[0], p[1], 1])
        return np.array(proj)

    def create_golden_ellipse_projection(self):
        t = np.linspace(0, 2 * np.pi, 200)
        major = 1.0
        minor = major / self.phi
        ell = []
        for a in t:
            x = major * np.cos(a)
            y = minor * np.sin(a)
            z = 1
            ell.append([x, y, z])
        return np.array(ell)

    def create_sine_projection(self):
        """Smooth continuation of the spiral into a vertical sinusoidal pattern inside the cube"""
        start = self.spiral_points[-1]
        x0, y0, z0 = start
        z = np.linspace(z0, -1, 400)

        theta_start = np.arctan2(y0, x0)
        theta = np.linspace(theta_start, theta_start + 4 * np.pi, 400)

        r_base = np.sqrt(x0 ''' 2 + y0 ''' 2)
        r = r_base '' (1 - 0.2 '' np.sin(4 '' np.pi '' (z - z0) / 2))

        x = r * np.cos(theta)
        y = r * np.sin(theta)
        return np.column_stack((x, y, z))

    # ------------------------------------------------------------
    # Buttons and event handlers
    # ------------------------------------------------------------
    def create_buttons(self):
        self.ax_reset = plt.axes([0.25, 0.02, 0.12, 0.05])
        self.ax_golden = plt.axes([0.38, 0.02, 0.15, 0.05])
        self.ax_pyramid = plt.axes([0.54, 0.02, 0.15, 0.05])
        self.ax_sine = plt.axes([0.70, 0.02, 0.18, 0.05])

        self.btn_reset = Button(self.ax_reset, "Default View")
        self.btn_golden = Button(self.ax_golden, "Golden Ratio View")
        self.btn_pyramid = Button(self.ax_pyramid, "Pyramid Angle View")
        self.btn_sine = Button(self.ax_sine, "Toggle Sine Projection")

        self.btn_reset.on_clicked(self.reset_view)
        self.btn_golden.on_clicked(self.reset_golden_view)
        self.btn_pyramid.on_clicked(self.reset_pyramid_view)
        self.btn_sine.on_clicked(self.toggle_sine_projection)

    # ------------------------------------------------------------
    # Plot setup and drawing
    # ------------------------------------------------------------
    def setup_plot(self, alpha=1.0):
        self.ax.clear()

        # Draw cube
        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)

        # Spiral, ellipse, etc.
        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)

        # Morph transition
        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, 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()

    def setup_info_panel(self):
        self.ax_info.clear()
        self.ax_info.axis("off")
        text = (
            "Golden Ellipse and Spiral Cube\n\n"
            "Controls:\n"
            "- Default View\n"
            "- Golden Ratio View\n"
            "- Pyramid Angle View\n"
            "- Toggle Sine Projection\n\n"
            "Morph Transition:\n"
            "Smooth positional morph between spiral and sine projection."
        )
        self.ax_info.text(0.05, 0.95, text, transform=self.ax_info.transAxes,
                          va="top", ha="left", fontsize=9, family="monospace",
                          bbox=dict(boxstyle="round,pad=1",
                                    facecolor="lightblue", alpha=0.7))
        self.fig.canvas.draw_idle()

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

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

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

    # ------------------------------------------------------------
    # Morph Animation
    # ------------------------------------------------------------
    def animate_transition(self, direction):
        frames = 50
        alpha_values = np.linspace(0, 1, frames) if direction == "on" else 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()

    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

    # ------------------------------------------------------------
    # Show
    # ------------------------------------------------------------
    def show(self):
        print("GOLDEN ELLIPSE & CONTINUOUS SINE MORPH")
        print("=========================================")
        print("Left: 3D view | Right: info panel")
        print("Use mouse drag to rotate, wheel to zoom.")
        plt.show()

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

</syntaxhighlight>

===== - Clicking Toggle Sine Projection morphs the black spiral into the orange sine path smoothly (no fade). =====
* Clicking again morphs it back.
* The animation is continuous and stays inside the cube.

Would you like the morph to pause briefly at mid-transition (alpha = 0.5) before continuing — to make it feel like a “breathing” organic transformation?