Editing Openai/2d1ffa9d-51d4-4f5d-a53d-7005d7be0ad7 (section)

=== Assistant: It seems the interactive widgets package ipywidgets is not available in the current environment. ===
It seems the interactive widgets package (ipywidgets) is not available in the current environment. However, I can provide you with code that can be run locally on your system, allowing you to interact with the fractal using sliders.

Here is the Python code that you can use on your local machine. Make sure you have ipywidgets, matplotlib, and numpy installed.

<syntaxhighlight lang="python">import numpy as np
import matplotlib.pyplot as plt
from ipywidgets import interact, FloatSlider

=== Parameters for the Mandelbrot set ===
width, height = 800, 800

=== Generate the Mandelbrot set ===
def mandelbrot(c, max_iterations):
    z = c
    for n in range(max_iterations):
        if abs(z) > 2:
            return n
        z = z * z + c
    return max_iterations

=== Create an array to store the fractal data ===
def generate_fractal(x_min, x_max, y_min, y_max, width, height, max_iterations):
    x_values = np.linspace(x_min, x_max, width)
    y_values = np.linspace(y_min, y_max, height)
    fractal = np.zeros((height, width))
    
    for ix, x in enumerate(x_values):
        for iy, y in enumerate(y_values):
            c = complex(x, y)
            fractal[iy, ix] = mandelbrot(c, max_iterations)
    
    return fractal

=== Generate and plot fractal based on individual choices (emotion, energy, intent, choice difficulty) ===
def generate_individual_fractal(emotion, energy, intent, difficulty):
    # Modify parameters based on inputs
    max_iterations = int(50 + emotion * 100)  # Emotion affects the iterations
    zoom_factor = 1 / (1 + difficulty * 0.5)  # Choice difficulty affects zoom level
    x_center = -0.75 + intent * 0.1  # Intent shifts the fractal horizontally
    y_center = 0 + intent * 0.1  # Intent shifts the fractal vertically
    x_min, x_max = x_center - 2.5 '' zoom_factor, x_center + 1.5 '' zoom_factor
    y_min, y_max = y_center - 2.0 '' zoom_factor, y_center + 2.0 '' zoom_factor
    
    # Energy influences the color intensity (progression rate)
    cmap_intensity = min(max(energy, 0.1), 2.0)  # Adjusts the color scaling
    
    # Generate fractal
    fractal = generate_fractal(x_min, x_max, y_min, y_max, width, height, max_iterations)
    
    # Plot the fractal with modified parameters
    plt.figure(figsize=(10, 10))
    plt.imshow(fractal, cmap="inferno", extent=(x_min, x_max, y_min, y_max))
    plt.colorbar()
    plt.title(f"Fractal with Emotion: {emotion}, Energy: {energy}, Intent: {intent}, Difficulty: {difficulty}")
    plt.xlabel("Real axis")
    plt.ylabel("Imaginary axis")
    plt.show()

=== Create interactive sliders for the parameters ===
interact(generate_individual_fractal, 
         emotion=FloatSlider(min=0, max=1, step=0.01, value=0.5, description="Emotion"),
         energy=FloatSlider(min=0, max=2, step=0.01, value=1, description="Energy"),
         intent=FloatSlider(min=-1, max=1, step=0.01, value=0, description="Intent"),
         difficulty=FloatSlider(min=0, max=1, step=0.01, value=0.5, description="Difficulty"));

</syntaxhighlight>

===== Instructions: =====
# Install the required packages by running: ``<code>bash pip install numpy matplotlib ipywidgets </code>``
# Run the above code in a Jupyter Notebook or Python environment that supports interactive widgets.
# Adjust the sliders to change the emotion, energy, intent, and difficulty inputs and see how the fractal changes in real time.

Let me know if you need any further guidance!