Catenoid soap bubbles

[ijabbott]

(11-07-2021 04:27 PM)Albert Chan Wrote:  I don't understand the complexity.

Let R = D/2 = 1.068/2 = 0.534 m
Let H = L/2 = 0.5/2 = 0.25 m

First, with symmetry, b = 0.25 m (not need to solve at all)
Shift axis so that x=0 has radius of r (= Matt's a), x=H have radius of R

Yes, it looked a bit suspicious when he got a b value exactly half of the length (+/- epsilon). Obviously symmetrical.

For different top and bottom radii, you really would have to solve for both a and b. It looks like Matt's Python code could be easily modified to handle different diameters at each end.