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YUSUF AKร‡AKAYA
FUSUY.DIGITAL.LAB
DIRECTORY / SANDBOXES / SOFTBODY.JELLY

SOFTBODY JELLY PHYSICS

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

โ† ALL SANDBOXES
SOFTBODY JELLY PHYSICS
60 FPS
SPRING STIFFNESS (k) MEDIUM
DAMPING FACTOR 0.992
GRAVITY FORCE 0.4 G
๐Ÿ’ก TIP: Grab vertices and fling the deformable spring-mass lattice against boundaries.
๐Ÿ“š

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
xโƒ—t+ฮ”t=2xโƒ—tโˆ’xโƒ—tโˆ’ฮ”t+aโƒ—ฮ”t2,Fโƒ—=โˆ’k(โˆฅxโƒ—1โˆ’xโƒ—2โˆฅโˆ’L0)u^\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 SANDBOXNORMAL
1FUSUY Jelly Trampoline

๐ŸŽฏ Action:Spawn 'FUSUY Letters', grab the top of the 'U', drag upward and release.

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

2Stiffness vs Damping Shootout

๐ŸŽฏ Action:Spawn 'Soft Wheel', set stiffness to FIRM with damping at 0.999, then hit FLING BURST. Repeat with SOFT stiffness and 0.950 damping.

โœจ Observe:The firm wheel rings with long oscillation tails while the soft one slumps and settles almost immediately.

// 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.