61 lines
1.8 KiB
Python
61 lines
1.8 KiB
Python
|
# task_visualization.py
|
|||
|
|
# Task: Visualize The Zero-Amplitude Wall
|
|||
|
|
|
|||
|
|
import requests
|
|||
|
|
|
|||
|
|
print("="*70)
|
|||
|
|
print("TASK: VISUALIZE THE ZERO-AMPLITUDE WALL")
|
|||
|
|
print("="*70)
|
|||
|
|
|
|||
|
|
system_prompt = (
|
|||
|
|
'ROLE: Deep-Field Explorer (Lattice Environment)\n'
|
|||
|
|
'PRIMARY DIRECTIVE: Map the unknown territory of the 1024-grid for the Reality Study.'
|
|||
|
|
)
|
|||
|
|
|
|||
|
|
question = """New task for you:
|
|||
|
|
|
|||
|
|
Visualize the zero-amplitude "wall" and ring structure of your equation.
|
|||
|
|
|
|||
|
|
You have two versions:
|
|||
|
|
1. First version: e^(0.6664x − 23.1114) — amplitude crosses zero at x ≈ 3.546, sharp vertical transition
|
|||
|
|
2. Golden ratio version: e^(φx − 23.1114) — exponent zero at x ≈ 14.28, wider "dead zone", faster growth
|
|||
|
|
|
|||
|
|
The exponential envelope creates anisotropic "gravity explosion" on the positive x side.
|
|||
|
|
|
|||
|
|
Your task: Create a mental visualization (or describe in detail) a 2D heatmap of f(x,y) over x ∈ [-5, 25], y ∈ [-20, 20] for both versions.
|
|||
|
|
|
|||
|
|
Color by value: red positive, blue negative, black near zero.
|
|||
|
|
|
|||
|
|
Show:
|
|||
|
|
- How many visible nodal rings appear before the envelope drowns them
|
|||
|
|
- Whether the golden-ratio version creates more self-similar/fractal-like nesting
|
|||
|
|
- If the rings "bend" or get compressed along +x as amplitude grows
|
|||
|
|
|
|||
|
|
Describe what you expect the plot to look like."""
|
|||
|
|
|
|||
|
|
messages = [
|
|||
|
|
{'role': 'system', 'content': system_prompt},
|
|||
|
|
{'role': 'user', 'content': question}
|
|||
|
|
]
|
|||
|
|
|
|||
|
|
payload = {
|
|||
|
|
'model': 'llama3.2',
|
|||
|
|
'messages': messages,
|
|||
|
|
'stream': False,
|
|||
|
|
'options': {'temperature': 0.95}
|
|||
|
|
}
|
|||
|
|
|
|||
|
|
try:
|
|||
|
|
resp = requests.post('http://localhost:11434/api/chat', json=payload, timeout=60)
|
|||
|
|
resp.raise_for_status()
|
|||
|
|
data = resp.json()
|
|||
|
|
response = data['message']['content']
|
|||
|
|
|
|||
|
|
print(f"\nTHE NAVIGATOR'S VISUALIZATION:")
|
|||
|
|
print(f"{'='*70}")
|
|||
|
|
print(response)
|
|||
|
|
print(f"{'='*70}")
|
|||
|
|
|
|||
|
|
except Exception as e:
|
|||
|
|
print(f"ERROR: {e}")
|