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Stress and recovery: 3D hydraulic rig

Left tank: strain from daily load. Right tank: reserve that strain drains and rest refills. Drag to orbit, pinch or wheel to zoom.

Educational toy, not medicine. Not a diagnostic tool; no health advice; it does not measure or predict anyone's mental health. If you are struggling, talk to a trusted adult or a qualified professional.

Workload Sleep per night Short breaks while awake Social support Speed Weekends off (work only Mon-Fri)

Strain S

Reserve R

Day / time

Mode

What to try

"Deadline crunch": watch the right tank sink week after week.
Add sleep or breaks: strain drains faster (recovery rate k rises).
Compare support 0 and 100 %: same load, lower peak strain.

The science

Time in hours. dS/dt = L(t) - k(t) S and dR/dt = -c S R + b rho(t) (1 - R), with k = (k0 + k1 rho)(1 + s Sp). rho = 1 asleep, 0.12 + 0.3 x breaks awake. k0=0.05/h, k1=0.5/h, s=0.6, c=0.02, b=0.12/h. Same structure as sleep-debt and fitness-fatigue (Banister) models: a charge-discharge quantity plus a slower resource it consumes. Numbers are illustrative, not fitted to people. RK4, 0.25 h step. Workdays 09:00-17:00, wake 07:00.

Models and 3D assets: the rig was modelled and baked in Blender (named parts: Strain_Liquid, Reserve_Liquid, Clock_Hand, Valve_Wheel) and drawn with Three.js r160. Liquid levels, the clock hand and the valve are driven by the equations above.

2D version with the full 7-day graph: open the 2D page