✨ 3D Rose Build

Matplot2D3D/README.md

@@ -10,3 +10,4 @@
   ![ Heart ](images/Heart.png)
   ![ Normal Distribution ](images/Normal%20Distribution.png)
   ![ Prime Shape ](images/Prime%20Number%20Pattern.png)
+  ![ 3D Rose ](images/rose.png)

Matplot2D3D/Rose in 3D.ipynb

@@ -0,0 +1,170 @@
+{
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+     "start_time": "2025-02-08T08:19:55.554528Z"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "import numpy as np\n",
+    "import plotly.graph_objects as go"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "4380965b",
+   "metadata": {
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+     "start_time": "2025-02-08T08:19:56.683889Z"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "def generate_rose_points(\n",
+    "    resolution=800, \n",
+    "    petal_width_factor=1.995653, \n",
+    "    petal_height_factor=1.27689, \n",
+    "    petal_falloff=8, \n",
+    "    petals_per_cycle=3.6\n",
+    "):\n",
+    "    \"\"\"Generate X, Y, Z coordinates for the 3D rose shape.\"\"\"\n",
+    "    \n",
+    "    # Define radial and angular values\n",
+    "    radius_values = np.linspace(0, 1, resolution)\n",
+    "    angle_values = np.linspace(-2, 20 * np.pi, resolution)\n",
+    "    R, THETA = np.meshgrid(radius_values, angle_values)\n",
+    "\n",
+    "    # Shape modifier to control petal curvature\n",
+    "    petal_shape = 1 - 0.5 * ((5/4) * (1 - np.mod(petals_per_cycle * THETA, 2 * np.pi) / np.pi)**2 - 1/4)**2\n",
+    "\n",
+    "    # Angle distortion to create a smooth petal falloff effect\n",
+    "    angle_falloff = (np.pi / 2) * np.exp(-THETA / (petal_falloff * np.pi))\n",
+    "\n",
+    "    # Petal thickness based on radius and height factors\n",
+    "    petal_thickness = petal_width_factor * (R**2) * (petal_height_factor * R - 1)**2 * np.sin(angle_falloff)\n",
+    "\n",
+    "    # Adjust petal shape with curvature\n",
+    "    adjusted_radius = petal_shape * (R * np.sin(angle_falloff) + petal_thickness * np.cos(angle_falloff))\n",
+    "    \n",
+    "    # Convert to Cartesian coordinates\n",
+    "    X = adjusted_radius * np.sin(THETA)\n",
+    "    Y = adjusted_radius * np.cos(THETA)\n",
+    "    Z = petal_shape * (R * np.cos(angle_falloff) - petal_thickness * np.sin(angle_falloff))\n",
+    "    \n",
+    "    return X, Y, Z\n",
+    "\n",
+    "def plot_rose(X, Y, Z):\n",
+    "    \"\"\"Plot the 3D rose using Plotly.\"\"\"\n",
+    "    \n",
+    "    # Define red color gradient\n",
+    "    color_gradient = [[0, 'rgb(255,0,0)'], [1, 'rgb(64,0,0)']]  # Bright red to dark red\n",
+    "    \n",
+    "    # Create the 3D surface plot\n",
+    "    fig = go.Figure(data=[go.Surface(x=X, y=Y, z=Z, colorscale=color_gradient, showscale=False)])\n",
+    "\n",
+    "    # Set camera angle and labels\n",
+    "    fig.update_layout(\n",
+    "        title=\"3D Rose 🌹\",\n",
+    "        scene=dict(\n",
+    "            xaxis_title=\"Width\",\n",
+    "            yaxis_title=\"Depth\",\n",
+    "            zaxis_title=\"Height\",\n",
+    "            camera=dict(eye=dict(x=-1.5, y=-1.5, z=1.5))\n",
+    "        )\n",
+    "    )\n",
+    "    \n",
+    "    fig.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "id": "02bde749",
+   "metadata": {
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+     "start_time": "2025-02-08T08:19:58.187427Z"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "# Generate and plot the 3D rose\n",
+    "X, Y, Z = generate_rose_points()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "81647308",
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2025-02-08T08:06:45.511388Z",
+     "start_time": "2025-02-08T08:06:41.247723Z"
+    },
+    "scrolled": false
+   },
+   "outputs": [],
+   "source": [
+    "plot_rose(X, Y, Z)"
+   ]
+  }
+ ],
+ "metadata": {
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+   "display_name": "Python 3 (ipykernel)",
+   "language": "python",
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+}

README.md

@@ -15,8 +15,9 @@
 
 ## **Matplot 2D & 3D [ Link ](Matplot2D3D)**
 
-  ![ Heart ](Matplot2D3D/images/Heart.png)
+  ![ Heart ](Matplot2D3D/images/rose.png)
   * There is also:
+      * 3D Rose
       * 3D Normal distribution shape
       * Prime number shape
       * Random sine shape