File size: 1,936 Bytes
a31a033 ce4c136 a31a033 ce4c136 a31a033 ce4c136 a31a033 ce4c136 a31a033 ce4c136 b406d52 ce4c136 a31a033 ce4c136 b406d52 ce4c136 b406d52 |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 |
import streamlit as st
import numpy as np
import matplotlib.pyplot as plt
st.title('Plant Fractal')
def generate_strange_attractor(num_points, a, b, c, d):
x, y, z = 0.1, 0.0, 0.0
points = []
for i in range(num_points):
x_dot = np.sin(y * a) - np.cos(x * b)
y_dot = np.sin(z * c) - np.cos(y * a)
z_dot = np.sin(x * d) - np.cos(z * c)
x += 0.1 * x_dot
y += 0.1 * y_dot
z += 0.1 * z_dot
points.append((x, y, z))
x, y, z = zip(*points)
return (x, y, z)
def generate_julia_set(num_points, c):
def f(z, c):
return z**2 + c
x, y, z = np.zeros(num_points), np.zeros(num_points), np.zeros(num_points)
z[0] = 1
for i in range(1, num_points):
x[i], y[i], z[i] = f((x[i-1], y[i-1], z[i-1]), c)
return (x, y, z)
num_points = st.slider('How many points do you want to generate?', 1000, 100000, 10000)
fractal_type = st.selectbox('Select a fractal type', ('Strange Attractor', 'Julia Set'))
if fractal_type == 'Strange Attractor':
a = st.slider('a', 0.0, 2.0, 1.2)
b = st.slider('b', 0.0, 2.0, 0.6)
c = st.slider('c', 0.0, 2.0, 1.7)
d = st.slider('d', 0.0, 2.0, 1.5)
x, y, z = generate_strange_attractor(num_points, a, b, c, d)
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
ax.plot(x, y, z, linewidth=1)
ax.set_title('Strange Attractor Fractal')
ax.set_xlabel('X')
ax.set_ylabel('Y')
ax.set_zlabel('Z')
st.pyplot(fig)
else:
real_part = st.slider('Real part of c', -2.0, 2.0, 0.4)
imag_part = st.slider('Imaginary part of c', -2.0, 2.0, 0.1)
c = complex(real_part, imag_part)
x, y, z = generate_julia_set(num_points, c)
fig = plt.figure()
ax = fig.add_subplot(111, projection='3d')
ax.plot(x, y, z, linewidth=1)
ax.set_title('Julia Set Fractal')
ax.set_xlabel('X')
ax.set_ylabel('Y')
ax.set_zlabel('Z')
st.pyplot(fig)
|