Felling Zone Simulator
Felling-zone puzzle · Monte Carlo, 3D

Will the boy survive?

Not if the tree falls his way. The 8-ft section pivots on a hinge 4 ft above the ground, so its tip lands about 7 to 8 ft out. The boy sits at 6 ft, inside that arc. Whether he gets hit depends on the fall direction.

Tip reach on the ground = √(8² − 4²) = 6.93 ft along the centerline, ≈ 7.8 ft with trunk and hinge width

Drag sideways to orbit · dots = where log tips landed
Press “Drop one tree” to animate a single random fall.

Outcome by fall direction

Shaded bands show what a fall at each angle hits if the hinge holds. The curve is how likely each direction is under your settings.

Head or torso Lower body Fall-direction likelihood
–chance the boy is struck, from 5,000 simulated falls
Head or torso (life-threatening)– Lower body only (pinned, fractures)– Clear–
Danger cone, hinge holds
–
Minimum safe distance, straight fall
–
Median impact energy when struck
–
Log weight (green hardwood)
–

Scenario

0° = straight at the boy. The picture shows the notch facing him.
Wind, uneven hinge, hidden lean. A pro cut is ±5°; an axe job, ±15–25°.
If the hinge tears, the butt slides off the stump and the log drops flat.

How the model works

  • The cut section is a rigid 8-ft log hinged at the stump's edge, 4 ft up. It swings until its tip meets the ground about 25° below level.
  • Each run draws a fall direction from a bell curve around your bias, then sweeps the log through 48 positions and checks contact with the child.
  • The seated child (about 2.3 ft tall) is modeled as capsules for head, torso, hips and crossed legs.
  • A failed hinge drops the log flat, landing between 1.2 ft behind and 0.8 ft ahead of the stump edge, with a few degrees of skew.
  • Impact energy is the log's kinetic energy at first contact, using 60 lb/ft³ for green hardwood.
  • Standard felling practice keeps bystanders at least two tree lengths away. Here that is 16 ft or more.