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import streamlit as st
import numpy as np
import plotly.graph_objects as go
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 go.Scatter3d(x=x, y=y, z=z, mode='lines', line=dict(width=1))
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)
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 go.Scatter3d(x=x, y=y, z=z, mode='lines', line=dict(width=1))
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)
fig = go.Figure(generate_strange_attractor(num_points, a, b, c, d))
fig.update_layout(
title='Strange Attractor Fractal',
scene=dict(
xaxis_title='X',
yaxis_title='Y',
zaxis_title='Z'
),
showlegend=False
)
else:
c = complex(st.slider('Real part of c', -2.0, 2.0, 0.4), st.slider('Imaginary part of c', -2.0, 2.0, 0.1))
fig = go.Figure(generate_julia_set(num_points, c))
fig.update_layout(
title='Julia Set Fractal',
scene=dict(
xaxis_title='X',
yaxis_title='Y',
zaxis_title='Z'
),
showlegend=False
)
st.plotly_chart(fig)
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