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@GvdDool
Created November 23, 2024 15:08
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "46a651c0-9ddb-4718-bed7-321157445f66",
"metadata": {
"deletable": true,
"editable": true,
"frozen": false
},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"import random\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "717ccf80-407c-4c4d-9af6-0d318a2a60df",
"metadata": {
"deletable": true,
"editable": true,
"frozen": false
},
"outputs": [],
"source": [
"# Define the side length and the starting point A\n",
"side_length = 50\n",
"A = np.array([0, 0]) # Starting point\n",
"\n",
"# Calculate the positions of the other two points\n",
"B = np.array([A[0] + side_length, A[1]]) # Point B directly to the right of A\n",
"\n",
"# Using trigonometry to calculate point C\n",
"angle = np.radians(60) # 60 degrees in radians\n",
"C = np.array([\n",
" A[0] + side_length * np.cos(angle),\n",
" A[1] + side_length * np.sin(angle)\n",
"])\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "9c818a0d-ca61-45b6-b3c3-05d4844bd386",
"metadata": {
"deletable": true,
"editable": true,
"frozen": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Random point inside the triangle: [6.84765113 7.09706193]\n"
]
}
],
"source": [
"# Generate random barycentric coordinates u and v\n",
"u, v = np.random.rand(2)\n",
"if u + v > 1:\n",
" u, v = 1 - u, 1 - v\n",
"\n",
"# Calculate the random point using barycentric coordinates\n",
"random_point = (1 - u - v) * A + u * B + v * C\n",
"\n",
"# Print the random point\n",
"print(f\"Random point inside the triangle: {random_point}\")"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "1f526eff-7888-4199-92a9-df50bd39b499",
"metadata": {
"deletable": true,
"editable": true,
"frozen": false
},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 800x800 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot the triangle\n",
"plt.figure(figsize=(8, 8))\n",
"triangle_points = np.array([A, B, C, A]) # Closing the triangle loop\n",
"\n",
"# Plot the triangle points:\n",
"plt.plot(triangle_points[:, 0], triangle_points[:, 1], marker='o', label='Equilateral Triangle')\n",
"plt.scatter(triangle_points[:, 0], triangle_points[:, 1], color='red', zorder=5)\n",
"\n",
"# Plot the random point\n",
"plt.scatter(random_point[0], random_point[1], color='blue', label='Random Point', zorder=6)\n",
"plt.text(random_point[0], random_point[1], 'P', fontsize=12, color='blue', ha='right')\n",
"\n",
"\n",
"# Annotate points\n",
"plt.text(A[0], A[1], 'A', fontsize=12, ha='right')\n",
"plt.text(B[0], B[1], 'B', fontsize=12, ha='left')\n",
"plt.text(C[0], C[1], 'C', fontsize=12, ha='center')\n",
"\n",
"# Set plot limits and title\n",
"plt.xlim(-5, side_length + 5)\n",
"plt.ylim(-5, side_length + 5)\n",
"plt.axhline(0, color='black', linewidth=0.5, linestyle='--')\n",
"plt.axvline(0, color='black', linewidth=0.5, linestyle='--')\n",
"plt.gca().set_aspect('equal', adjustable='box')\n",
"plt.title(\"Equilateral Triangle\")\n",
"plt.grid(True)\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "c69ffb39-d012-42cc-b65b-1eb89bbcb53c",
"metadata": {
"deletable": true,
"editable": true,
"frozen": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Randomly selected vertex: [25. 43.30127019]\n"
]
}
],
"source": [
"# List of triangle vertices\n",
"vertices = [A, B, C]\n",
"\n",
"# Randomly select one vertex\n",
"selected_vertex = random.choice(vertices)\n",
"\n",
"# Print the selected vertex\n",
"print(f\"Randomly selected vertex: {selected_vertex}\")\n"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "b7b2b55b-266e-4fdd-a853-e20a775fb8bf",
"metadata": {
"deletable": true,
"editable": true,
"frozen": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Midpoint between P and the selected vertex: [15.92382556 25.19916606]\n"
]
}
],
"source": [
"# Calculate the midpoint between the random point P and the selected vertex\n",
"midpoint = (random_point + selected_vertex) / 2\n",
"\n",
"# Print the midpoint\n",
"print(f\"Midpoint between P and the selected vertex: {midpoint}\")"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "5daf864c-d178-44fd-a55d-2bd675671d01",
"metadata": {
"deletable": true,
"editable": true,
"frozen": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 800x800 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot the triangle\n",
"plt.figure(figsize=(8, 8))\n",
"triangle_points = np.array([A, B, C, A]) # Closing the triangle loop\n",
"\n",
"# Plot the triangle points:\n",
"plt.plot(triangle_points[:, 0], triangle_points[:, 1], marker='o', label='Equilateral Triangle')\n",
"plt.scatter(triangle_points[:, 0], triangle_points[:, 1], color='red', zorder=5)\n",
"\n",
"# Plot the random point\n",
"plt.scatter(random_point[0], random_point[1], color='blue', label='Random Point', zorder=6)\n",
"plt.text(random_point[0], random_point[1], 'P', fontsize=12, color='blue', ha='right')\n",
"\n",
"# Plot the mid point\n",
"plt.scatter(midpoint[0], midpoint[1], color='blue', label='Mid Point', zorder=6)\n",
"plt.text(midpoint[0], midpoint[1], 'M', fontsize=12, color='grey', ha='right')\n",
"\n",
"\n",
"# Annotate points\n",
"plt.text(A[0], A[1], 'A', fontsize=12, ha='right')\n",
"plt.text(B[0], B[1], 'B', fontsize=12, ha='left')\n",
"plt.text(C[0], C[1], 'C', fontsize=12, ha='center')\n",
"\n",
"# Set plot limits and title\n",
"plt.xlim(-5, side_length + 5)\n",
"plt.ylim(-5, side_length + 5)\n",
"plt.axhline(0, color='black', linewidth=0.5, linestyle='--')\n",
"plt.axvline(0, color='black', linewidth=0.5, linestyle='--')\n",
"plt.gca().set_aspect('equal', adjustable='box')\n",
"plt.title(\"Equilateral Triangle\")\n",
"plt.grid(True)\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "96409465-513b-4736-9641-d8a5b37f8962",
"metadata": {
"deletable": true,
"editable": true,
"frozen": false
},
"outputs": [],
"source": [
"midpoints = [random_point]\n",
"# Loop for 100 iterations to update the midpoint\n",
"for n in range(100000):\n",
" # Randomly select a vertex\n",
" selected_vertex = random.choice(vertices)\n",
" \n",
" # Calculate the new midpoint\n",
" midpoint = (random_point + selected_vertex) / 2\n",
" \n",
" # Append the new midpoint to the list\n",
" midpoints.append(midpoint)\n",
" \n",
" # Update the random point to the new midpoint for the next iteration\n",
" random_point = midpoint\n",
"\n",
"# Convert midpoints list to a NumPy array for faster handling\n",
"midpoints = np.array(midpoints)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "536e1c72-d915-40ac-901f-a8ab5d1126e0",
"metadata": {
"deletable": true,
"editable": true,
"frozen": false
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 600x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Create a plot with an Axes object for better performance\n",
"fig, ax = plt.subplots(figsize=(6, 6))\n",
"\n",
"# Plot the midpoints using scatter with reduced marker size\n",
"ax.scatter(midpoints[:, 0], midpoints[:, 1], color='orange', label='Midpoints', s=2, zorder=5)\n",
"\n",
"# Plot the triangle\n",
"triangle_points = np.array([A, B, C, A]) # Closing the triangle loop\n",
"ax.plot(triangle_points[:, 0], triangle_points[:, 1], marker='o', label='Equilateral Triangle')\n",
"ax.scatter(triangle_points[:, 0], triangle_points[:, 1], color='red', zorder=10)\n",
"\n",
"# Annotate triangle vertices\n",
"ax.text(A[0], A[1], 'A', fontsize=12, ha='right')\n",
"ax.text(B[0], B[1], 'B', fontsize=12, ha='left')\n",
"ax.text(C[0], C[1], 'C', fontsize=12, ha='center')\n",
"\n",
"# Set plot limits and title\n",
"ax.set_xlim(-1, side_length + 2)\n",
"ax.set_ylim(-1, side_length + 2)\n",
"ax.axhline(0, color='black', linewidth=0.5, linestyle='--')\n",
"ax.axvline(0, color='black', linewidth=0.5, linestyle='--')\n",
"ax.set_aspect('equal', adjustable='box')\n",
"ax.set_title(\"Midpoints after 100,000 Iterations\")\n",
"ax.grid(True)\n",
"ax.legend()\n",
"\n",
"# Show plot\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "3346bfd0-462c-4bee-8a82-92b2577d1bac",
"metadata": {
"deletable": true,
"editable": true,
"frozen": false
},
"outputs": [],
"source": [
"import plotly.graph_objects as go"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "1be40638-10da-453a-ba5f-932e050d7b65",
"metadata": {
"deletable": true,
"editable": true,
"frozen": false
},
"outputs": [],
"source": [
"# # Create a Plotly figure\n",
"# fig = go.Figure()\n",
"\n",
"# # Plot the triangle vertices and edges\n",
"# fig.add_trace(go.Scatter(x=[A[0], B[0], C[0], A[0]], y=[A[1], B[1], C[1], A[1]],\n",
"# mode='lines+markers', marker=dict(color='red', size=10),\n",
"# name=\"Vertices & Edges\"))\n",
"\n",
"# # Plot the midpoints\n",
"# fig.add_trace(go.Scatter(x=midpoints[:, 0], y=midpoints[:, 1], mode='markers', marker=dict(color='orange', size=2),\n",
"# name=\"Midpoints\"))\n",
"\n",
"# # Customize the layout to ensure equal aspect ratio\n",
"# fig.update_layout(\n",
"# title=\"Midpoints after 100,000 Iterations\",\n",
"# xaxis_title=\"X\",\n",
"# yaxis_title=\"Y\",\n",
"# showlegend=True,\n",
"# hovermode=\"closest\",\n",
"# xaxis=dict(scaleanchor=\"y\"), # This ensures equal scaling for x and y axes\n",
"# yaxis=dict(scaleanchor=\"x\"), # This ensures equal scaling for x and y axes\n",
"# )\n",
"\n",
"# # Show the interactive plot\n",
"# fig.show()"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "4b8fc969-d5fa-4a06-af38-e61df7c3fa7f",
"metadata": {
"deletable": true,
"editable": true,
"frozen": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"MovieWriter imagemagick unavailable; using Pillow instead.\n"
]
},
{
"data": {
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",
"text/plain": [
"<Figure size 600x600 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib.animation as animation\n",
"\n",
"# Example of pre-generated list of points (100,000 points from earlier)\n",
"# Replace this with the actual list of points generated earlier in your code.\n",
"points = midpoints #np.random.rand(100000, 2) # Placeholder for the actual points (replace with your list)\n",
"\n",
"# Define the side length and the starting point A for the triangle\n",
"side_length = 50\n",
"A = np.array([0, 0]) # Starting point\n",
"B = np.array([A[0] + side_length, A[1]]) # Point B directly to the right of A\n",
"angle = np.radians(60) # 60 degrees in radians\n",
"C = np.array([\n",
" A[0] + side_length * np.cos(angle),\n",
" A[1] + side_length * np.sin(angle)\n",
"])\n",
"\n",
"# Prepare the figure and axis for the plot\n",
"fig, ax = plt.subplots(figsize=(6, 6))\n",
"# ax.set_xlim(-1, side_length + 1)\n",
"# ax.set_ylim(-1, side_length + 1)\n",
"\n",
"# Set plot limits and title\n",
"ax.set_xlim(-1, side_length + 2)\n",
"ax.set_ylim(-1, side_length + 2)\n",
"ax.axhline(0, color='black', linewidth=0.5, linestyle='--')\n",
"ax.axvline(0, color='black', linewidth=0.5, linestyle='--')\n",
"ax.set_aspect('equal', adjustable='box')\n",
"ax.set_title(\"Midpoints after 100,000 Iterations\")\n",
"ax.grid(True)\n",
"#ax.legend()\n",
"\n",
"# Store frames for the GIF\n",
"frame_points = []\n",
"\n",
"# Function to plot a single frame\n",
"def plot_frame(frame_data):\n",
" points, point_size = frame_data\n",
" ax.clear()\n",
" ax.set_xlim(-1, side_length + 1)\n",
" ax.set_ylim(-1, side_length + 1)\n",
" ax.plot([A[0], B[0], C[0], A[0]], [A[1], B[1], C[1], A[1]], 'r-') # Triangle edges\n",
" ax.scatter(*zip(*points), color='orange', s=point_size) # Midpoints as points\n",
" return ax,\n",
"\n",
"# Create frames according to the specified intervals and point sizes\n",
"frame_points = []\n",
"\n",
"# Interval specifications and point sizes\n",
"intervals = [\n",
" (0, 10, 1, 10), # 0 to 10, interval 1, point size 10\n",
" (10, 100, 10, 8), # 10 to 100, interval 10, point size 8\n",
" (100, 1000, 100, 6), # 100 to 1000, interval 100, point size 6\n",
" (1000, 10000, 1000, 4), # 1000 to 10000, interval 1000, point size 4\n",
" (10000, 100000, 10000, 2) # 10000 to 100000, interval 10000, point size 2\n",
"]\n",
"\n",
"# Generate frames\n",
"start_index = 0\n",
"for (start, end, step, point_size) in intervals:\n",
" for i in range(start, end, step):\n",
" frame_points.append((points[start_index:i+step], point_size)) # Add points and point size as tuple\n",
" start_index = i + step # Update the starting index for the next segment\n",
"\n",
"# Create the GIF with dynamic interval\n",
"ani = animation.FuncAnimation(fig, plot_frame, frames=frame_points, \n",
" interval=200,\n",
" blit=False)\n",
"\n",
"# Save the animation as a GIF\n",
"ani.save(\"sierpinski_triangle.gif\", writer=\"imagemagick\", fps=15)\n",
"\n",
"# Show the final plot\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "887615a1-f7c7-4664-80b1-dc7e6f14505b",
"metadata": {
"deletable": true,
"editable": true,
"frozen": false
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "geo_project1",
"language": "python",
"name": "geo_project1"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.11.6"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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