DIRECTORY / SANDBOXES / SOFTBODY.JELLY

SOFTBODY JELLY PHYSICS

Verlet numerical integration, volume preservation pressure, and Hooke's spring mass dynamics.

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SOFT-BODY JELLY HUD

60 FPS

// SPAWN JELLY ENTITY

ELASTIC STIFFNESS MEDIUM

GRAVITY 0.4 G

[Grab any node with mouse to stretch & toss]

📚

RESEARCH & LEARNING VAULT // Verlet Integration & Hooke's Elastic Lattice

Deformable soft-body mesh physics, spring networks, and collision response.

ACADEMIC & ALGORITHMIC REFERENCE

// HISTORICAL ORIGINS

Loup Verlet introduced Verlet integration in 1967 for molecular dynamics. Thomas Jakobsen popularized it for video game ragdoll and soft-body physics in 2001.

// GOVERNING EQUATIONS

\vec{x}_{t+\Delta t} = 2\vec{x}_t - \vec{x}_{t-\Delta t} + \vec{a}\Delta t^2, \quad \vec{F} = -k (\|\vec{x}_1 - \vec{x}_2\| - L_0) \hat{u}

// BROWSER IMPLEMENTATION

Updates particle positions implicitly from velocity differences without explicit acceleration storage, relaxing spring distance constraints through multiple relaxation iterations.

// GUIDED EXPERIMENTS TO TRY IN THIS SANDBOX

1FUSUY Jelly Trampoline

🎯 Action:Spawn 'FUSUY Letters', grab the top of the 'U', drag upward and release.

✨ Observe:Watch elastic oscillations propagate through the spring mesh with damping reflections off the floor.

// CURATED PAPERS, RFCS & RESOURCES

Advanced Character Physics (Verlet Ragdolls)paper

By Thomas Jakobsen (GDC 2001)

The seminal game developer paper on position-based Verlet physics constraints.