Loading 3D Laplace Visualization...

🔷 Laplace Equation in 3D

What is Laplace's Equation?

The Laplace equation describes steady-state heat distribution, electrostatic potential, and many other physical phenomena.

∇²φ = ∂²φ/∂x² + ∂²φ/∂y² + ∂²φ/∂z² = 0

Harmonic Functions

Solutions to Laplace's equation are called harmonic functions. They have the property that the value at any point equals the average of values on any surrounding sphere.

Boundary Conditions

Select different presets to see how boundary conditions affect the solution.

Left Drag: Rotate camera
Right Drag: Pan camera
Scroll: Zoom in/out
Slice: Use sliders to slice through

Scalar Field Value (φ)

0 (Low) 0.5 1 (High)
Iteration: 0
Max Change: 0
Preset: Single Face