Created
December 10, 2022 05:36
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# inspired from https://www.instagram.com/reel/Cl4WkH9OPXc/?igshid=YmMyMTA2M2Y%3D | |
from matplotlib import pyplot as plt | |
import numpy as np | |
import random | |
from math import sqrt | |
def plot_points(points): | |
x = [p[0] for p in points] | |
y = [p[1] for p in points] | |
margin = 0.1 | |
maxx = max(x) + margin | |
maxy = max(y) + margin | |
minx = min(x) - margin | |
miny = min(y) - margin | |
# plt.rcParams['lines.markersize'] = 0.1 | |
plt.rcParams["figure.figsize"] = [18, 16] | |
plt.rcParams["figure.autolayout"] = True | |
plt.xlim(minx, maxx) | |
plt.ylim(miny, maxy) | |
plt.grid() | |
s = [0.005] * len(x) | |
plt.scatter(x, y, s=s, marker="o") | |
plt.show() | |
def generate_points(triangle_points, first_point, num_to_generate): | |
generated_points = [first_point] | |
for idx in range(num_to_generate): | |
selected_triangle_point = random.choice(triangle_points) | |
last_generated_point = generated_points[-1] | |
new_point = ((selected_triangle_point[0] + last_generated_point[0]) / 2, (selected_triangle_point[1] + last_generated_point[1]) / 2) | |
generated_points.append(new_point) | |
return generated_points | |
t1 = (0, 0) | |
t2 = (1, 0) | |
t3 = (1/2, sqrt(3) / 2) | |
first_point = (0.5 , 0.5) | |
generated_points = generate_points([t1, t2, t3], first_point, 1000000) | |
plot_points([t1, t2, t3] + generated_points) |
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