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

=== Assistant: Perfect 👍 Here’s your fully ASCII-safe Windows-friendly version — no Unicode characters at all, no fancy quotes or das… ===
Perfect 👍 Here’s your fully ASCII-safe (Windows-friendly) version — no Unicode characters at all, no fancy quotes or dashes.
You can copy–paste this directly into Notepad, save it as
GoldenEllipseSpiralCubeSLIDER_SINE_CONTINUOUS_SAFE.py, and run it immediately with:

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

</syntaxhighlight>

<syntaxhighlight lang="python"># -''- coding: utf-8 -''-
=== GoldenEllipseSpiralCubeSLIDER_SINE_CONTINUOUS_SAFE.py ===
=== Plain ASCII version, compatible with Windows Python ===

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=(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]
        ]

        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()

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

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

    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):
        z = np.linspace(1, -1, 400)
        theta = np.linspace(2 '' np.pi, 6 '' np.pi, 400)
        r = 1 - 0.3 '' np.sin(4 '' np.pi * (z + 1) / 2)
        x = r * np.cos(theta)
        y = r * np.sin(theta)
        return np.column_stack((x, y, z))

    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)

    def setup_plot(self):
        self.ax.clear()

        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)

        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)

        if self.sine_visible:
            si = self.sine_projection_points
            self.ax.plot3D(si[:,0], si[:,1], si[:,2],
                           color="orange", linewidth=3)

        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"
            "Sine Projection:\n"
            "Smooth continuation of the spiral into a vertical sine-like curve\n"
            "inside the cube volume."
        )
        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()

    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()

    def toggle_sine_projection(self, event=None):
        self.sine_visible = not self.sine_visible
        self.setup_plot()

    def show(self):
        print("GOLDEN ELLIPSE & CONTINUOUS SINE PROJECTION")
        print("====================================================")
        print("Left panel: 3D interactive visualization")
        print("Right panel: Info and controls")
        print("Use mouse drag to rotate, wheel to zoom.")
        plt.show()

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

</syntaxhighlight>

✅ Safe for all Windows editors
* Only ASCII characters.
'' Includes # -''- coding: utf-8 -*-.
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* Runs directly with py or python.

Would you like me to extend it later so that the sine curve gradually animates from the spiral (a morph effect)? It’s very doable with matplotlib.animation.FuncAnimation.