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Bouncing balls in a concave bowl

What you are seeing: up to 1800 balls released at rest in the outline of a shape (a star, a heart, the letter A, a crescent moon), then shattered by gravity into a bowl whose profile you choose. On each contact the velocity is reflected about the local tangent and the normal component is scaled by the restitution ee. The recognizable figure survives for a moment, then collapses: every ball follows the same simple law, so the shape dissolves into the bowl's natural motion. The bowl profile sets that motion: a parabola gives near-simple-harmonic swings, the V-bowl piecewise constant acceleration, the quartic a strongly amplitude-dependent period, the arc a pendulum. With e=1e = 1 the balls bounce forever.

Figure 1. Gravity plus tangent-reflection with restitution in a chosen bowl profile.
bowl shapeparabola
restitution e0.85
curvature a0.55
arrangementstar
particles1200

WHAT TO TRY

  • Vary each control and watch the rail readouts respond.
  • Compare the diagnostic plot against the live scene.