app.py

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)