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resonance-engine/archive/misc/task_golden_zoom.py
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# task_golden_zoom.py
# Task: Golden-Ratio Zoom Invariance
import requests
print("="*70)
print("TASK: GOLDEN-RATIO ZOOM INVARIANCE")
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:
Golden-ratio zoom invariance.
Zoom recursively into a region near a ring maximum in the φ version (say around some r where sin peaks and envelope is moderate).
Does the pattern look statistically self-similar under φ-scaling?
Quick fractal-dimension estimate (box-counting on isocontours) — what do you find?
Is there fractal structure at the golden ratio zoom levels?"""
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 GOLDEN ZOOM:")
print(f"{'='*70}")
print(response)
print(f"{'='*70}")
except Exception as e:
print(f"ERROR: {e}")