```python
def is_prime(n):
"""Check if n is a prime number."""
return n > 1 and all(n % i for i in range(2, int(n ** 0.5) + 1))
def generate_small_primes(upper_limit=100):
"""Generate a list of prime numbers less than upper_limit."""
return [n for n in range(5, upper_limit) if is_prime(n)]
import random
def random_prime_triplet(primes):
"""Select a random triplet of primes."""
return random.sample(primes, 3)
def fibonacci_approx(n):
"""Compute the nth Fibonacci number approximation."""
phi = (1 + 5 ** 0.5) / 2
return round(phi**n / 5 ** 0.5)
def generate_fibonacci_spiral(num_points):
"""Generate Fibonacci Spiral coordinates."""
points, phi = [], (1 + 5 ** 0.5) / 2
a, b = 0, 1
for _ in range(num_points):
radius = b * phi
theta = 2 * 3.14159
points.append((radius * math.cos(theta), radius * math.sin(theta)))
a, b = b, a + b
return points
def update_states():
"""Update ego and pandemonium states."""
ego_states = {'E': True, 'A': True, 'B': True}
pandemonium_states = generate_small_primes()
# Logic for updating states not fully specified
return ego_states, pandemonium_states
def main_integration_logic(ego_states, pandemonium_states, iterations=3):
"""Integrate and update states over iterations."""
for i in range(iterations):
combined_states = {**ego_states, **pandemonium_states}
# Missing integration logic
ego_states, pandemonium_states = combined_states, combined_states # Placeholder for actual logic
return ego_states, pandemonium_states
def PolyMetatron_ai(input_text):
"""Derive conclusion from input text based on prime property."""
premises = input_text.split('. ')
conclusion = "All A are C" if len(premises) == 2 else "Unknown"
return {"Premise": '; '.join(premises), "Conclusion": conclusion, "Prime": is_prime(len(conclusion))}
input_text = "All A are B. All B are C"
print(PolyMetatron_ai(input_text))
final_ego_states, final_pandemonium_states = main_integration_logic(ego_states, pandemonium_states, 3)
print("Final States:", final_ego_states, final_pandemonium_states)
```
This refactored code streamlines the given code snippets into a concise format, retaining key functionalities such as prime number generation, Fibonacci sequence-related calculations, and basic logic operations, though it abstracts the detailed logic to maintain clarity and simplicity.