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#0018 Stress Coastline

Stress accumulation vs resilience practices

Stress Coastline

Accumulated stress grows your "attack surface." Resilience practices smooth it back to defensible boundaries.

Stress coastline
Resilient boundary
Attack point
Defense point
Accumulated Stress
Month 6 YouScroll to zoom • 5 Koch iterations
1396
perimeter (attack surface)
768 segments • 3.16x base
Resilience Processed
Month 6 YouScroll to zoom • Smoothing level 2
1396
perimeter (defensible boundary)
54 iterations (smoothed)
0%attack surface reduced
Unprocessed
1.0x exposed
5 iterations
Fractal D
0.83
complexity index
With Resilience
Defended
4 iterations
The Fractal Trap

Each unprocessed stressor adds a "bump" to your coastline—like the Koch snowflake, perimeter grows while area stays bounded. At 5 iterations, your boundary is 3.16x more complex. That's 768 edges where anxiety can attack—up from just 3.

The Smoothing Effect

Resilience practices—meditation, exercise, sleep—act as "smoothing operations." Level 2 resilience reduced 5 stress iterations to just 4. Your perimeter dropped 0%, leaving fewer edges to defend.

Koch Growth: perimeter × (4/3)^iterations → 442 × (4/3)^51396
Resilience blocks 1 iterations: 1396 perimeter (0% simpler)

The Math of Burnout: A Koch snowflake's perimeter grows by 4/3 each iteration (approaching infinity), while its area stays finite. Your mental "bandwidth" (area) is fixed—but stress complexity can grow without bound. Fractal dimension 0.83 means your boundary is becoming space-filling. Resilience reverses iterations before they compound.

Increase stressors to see the coastline become jagged and complex. Increase resilience practices to watch the smoothing operation collapse complexity back to defensible boundaries.