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For Students · 3D Heat Diffusion

3D Heat Diffusion for a slingshot

Built for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition. Simulate a slingshot live below — adjust the inputs and watch it respond, right in your browser.

3D Heat Diffusion StudioLive

3D finite difference · ∂u/∂t = α∇³u

Controls

Speed1×

Presets

Diffusivity α

▶ Run in Python

Data Inspector

Grid40³

Cells64,000

SchemeExplicit FD

Governing equation

\frac{\partial u}{\partial t} = 0.12 \nabla^{2} u = 0.12 (u_{xx} + u_{y y} + u_{z z})

Reading this result: Heat spreads outward at a rate set by the diffusivity — each cell relaxes toward the average of its six neighbors every step.

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Frequently asked questions

Is this good for students?: Yes — this version of "3D Heat Diffusion for a slingshot" is framed for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.