app.py

import streamlit as st
import numpy as np
import matplotlib.pyplot as plt

# Define a function to calculate assembly A
def calculate_assembly(ai_values, ni_values, N_T):
    return sum([np.exp(ai) * ((ni - 1) / N_T) for ai, ni in zip(ai_values, ni_values)])

# Sample data for top ten geometric assemblies
example_assemblies = {
    "Lighthouse": {"ai": 2.5, "ni": 1},
    "Eyeglasses": {"ai": 1.8, "ni": 2},
    "Stool": {"ai": 1.2, "ni": 3},
    "Window": {"ai": 1.5, "ni": 4},
    "Hand": {"ai": 2.0, "ni": 5},
    "Dice": {"ai": 0.8, "ni": 6},
    "Heaven": {"ai": 2.3, "ni": 7},
    "Gate": {"ai": 1.7, "ni": 8},
    "Cat": {"ai": 2.1, "ni": 9},
    "Toes": {"ai": 1.0, "ni": 10},
}

# Streamlit App
st.title("The Assembly Equation Interactive Simulator")

# Display the Assembly Equation using LaTeX
st.latex(r'''
A = \sum_{i=1}^{N} e^{a_i} \left(\frac{n_i - 1}{N_T}\right)
''')

st.write("Where:")
st.latex(r'''
A \quad \text{is the assembly of the ensemble}
''')
st.latex(r'''
a_i \quad \text{is the assembly index of object } i
''')
st.latex(r'''
n_i \quad \text{is the copy number of object } i
''')
st.latex(r'''
N \quad \text{is the total number of unique objects}
''')
st.latex(r'''
N_T \quad \text{is the total number of objects in the ensemble}
''')

# Sidebar for inputs
st.sidebar.header("Input Parameters")
N_T = st.sidebar.number_input("Enter the total number of objects in the ensemble (N_T):", min_value=1, value=50)

# Display example assemblies
st.sidebar.write("Example Assemblies:")
for assembly, params in example_assemblies.items():
    st.sidebar.write(f"{assembly}: ai = {params['ai']}, ni = {params['ni']}")

# Button to calculate assembly
if st.sidebar.button('Calculate Assembly'):
    ai_values = [params['ai'] for params in example_assemblies.values()]
    ni_values = [params['ni'] for params in example_assemblies.values()]
    A = calculate_assembly(ai_values, ni_values, N_T)
    st.write("The assembly of the ensemble (A) is:", A)
    
    # Plotting the assembly index
    fig, ax = plt.subplots()
    ax.bar(example_assemblies.keys(), ai_values, color='skyblue')
    ax.set_xlabel('Objects')
    ax.set_ylabel('Assembly Index')
    ax.set_title('Assembly Index of Each Object')
    st.pyplot(fig)
else:
    st.write("Press 'Calculate Assembly' to see the result.")

# Showing the dictionary of examples
st.write("Example inputs for simple assemblies:")
st.json(example_assemblies)


st.sidebar.markdown("The Assembly Equation, Creation, and Conception of Intelligence and AGI:  https://youtu.be/CGiDqhSdLHk?t=773")