Interactive application
Interactive
Overview · selected highlights
Minimal Membrane
Two routes toward a constrained membrane: step directly downhill in area, or integrate the same area force through damped motion. Shared geometry and diagnostics reveal how optimization and physical relaxation approach related equilibria, and how added load changes the target.
ConstrainRelaxCompare
- ∮
Fix the boundary
Choose a spatial loop that constrains the triangular membrane.
- ∇A
Minimize the area
The optimizer moves directly along the triangle-area gradient.
- v
Retain the motion
The physical branch integrates force with velocity and damping.
- Δ
Compare the paths
Inspect shape, disagreement and convergence on the same mesh.
A similar final surface can hide very different dynamics along the way.
