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[P0] Implement Golden Ratio Drone Economics #19

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opened 2026-04-07 04:00:30 +00:00 by Rockachopa · 0 comments
Rockachopa commented 2026-04-07 04:00:30 +00:00
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Paperclips drone production rates use the golden ratio (phi = 1.618033788...):

  • Harvester Drone rate: 26,180,339 g/sec = 10^8 / phi
  • Wire Drone rate: 16,180,339 g/sec = 10^8 / phi^2
  • Factory rate: 1,000,000,000 inches/sec

Cost curves:

  • Harvester: pow(level+1, 2.25) * 1,000,000
  • Wire Drone: pow(level+1, 2.25) * 1,000,000
  • Factory: tiered multipliers (11-level for 1-7, then 2, 1.5, 1.25, 1.15, 1.10)
  • Farm: pow(farmLevel+1, 2.78) * 100,000,000
  • Battery: pow(batteryLevel+1, 2.54) * 10,000,000

The golden ratio appears Lantz chose it for aesthetic/mathematical significance.

Beacon: Use golden ratio for key production rates. Use tiered cost curves for factory-like buildings (cheaper as you scale). Educational: explains why natural ratios appear in optimal systems.

Ref: /tmp/paperclips/main.js lines 2400-2450 (drone costs), 2780-2850 (power costs)

Paperclips drone production rates use the golden ratio (phi = 1.618033788...): - Harvester Drone rate: 26,180,339 g/sec = 10^8 / phi - Wire Drone rate: 16,180,339 g/sec = 10^8 / phi^2 - Factory rate: 1,000,000,000 inches/sec Cost curves: - Harvester: pow(level+1, 2.25) * 1,000,000 - Wire Drone: pow(level+1, 2.25) * 1,000,000 - Factory: tiered multipliers (11-level for 1-7, then 2, 1.5, 1.25, 1.15, 1.10) - Farm: pow(farmLevel+1, 2.78) * 100,000,000 - Battery: pow(batteryLevel+1, 2.54) * 10,000,000 The golden ratio appears Lantz chose it for aesthetic/mathematical significance. Beacon: Use golden ratio for key production rates. Use tiered cost curves for factory-like buildings (cheaper as you scale). Educational: explains why natural ratios appear in optimal systems. Ref: /tmp/paperclips/main.js lines 2400-2450 (drone costs), 2780-2850 (power costs)
Rockachopa added the mechanicsP0 labels 2026-04-07 04:00:30 +00:00
allegro self-assigned this 2026-04-07 14:08:40 +00:00
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Reference: Timmy_Foundation/the-beacon#19
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