↻ Rotate device for side-by-side view
Connected — cylindrical film
h/R = 0.05
At the breaking point: V = (π/2)R²h — exactly half the cylinder.
skwedge.org
Catenoid
Skwedge curvum
h=0
hcrit ≈ 1.3255R
1.8R
The catenoid — a minimal surface of revolution. At h/R = 2λ ≈ 1.3255, the film ceases to exist. Right at the breaking point, it encloses exactly half its bounding cylinder.
Anderson, T. (2026). The Volume of the Critical Catenoid. doi:10.5281/zenodo.18808911  |  skwedge.org