I tried drawing a pseudo fractal figure using Python

import matplotlib.pyplot as plt
import matplotlib.collections as mc
import numpy as np
import math

def return_point(p1, p2):
    point = (p2-p1)*0.08 + p1
    return point

N = 1000
x = np.linspace(-1, 1, N)

x_point = [0, 100, 200]
y_point = [0, math.sqrt(3)*100, 0]
for i in range (N):
    new_x_point = return_point(x_point[i], x_point[i+1])
    new_y_point = return_point(y_point[i], y_point[i+1])
    x_point.append(new_x_point)
    y_point.append(new_y_point)

fractal = [[(x_point[i], y_point[i]), (x_point[i+1], y_point[i+1])] for i in range(N)]

lc = mc.LineCollection(fractal, colors='#333333', linewidths=1, antialiased=True)


fig = plt.figure(figsize=(10,10))
ax = fig.add_subplot(1,1,1)

#↓ Non-essential settings
ax.set_axis_bgcolor('#f3f3f3')
plt.gca().spines['right'].set_visible(False)
plt.gca().spines['left'].set_visible(False)
plt.gca().spines['top'].set_visible(False)
plt.gca().spines['bottom'].set_visible(False)
plt.tick_params(labelbottom=False, labelleft=False, labelright=False, labeltop=False)
#↑ Non-essential settings

ax.add_collection(lc)
ax.autoscale()
plt.savefig('./fractal.png')

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