Soap buble theory

Because of to surface tension of the liquid we can create a soap bubble,as a sphere has the smallest possible surface area for a given volume.Soap decreasing strength to approximately one third the surface tension of pure water. Soap does not strengthen bubbles, it stabilizes them, via an action known as the Marangoni effect.

Everyone know shortest distance between 2 points is a straight line.What happen when we want to know the shortest distance between 3 or more points,that tells by soap bubble theory.The interior wall are formed b soap films intersects will create new vertices,new angles,new line and points.The Steiner tree which revels most efficient line of travel.Given a set of points in the Euclidean plane, a Steiner tree (see Figure 1) is a collection of line segments of minimum total length connecting the points, where the segments can meet at vertices (called Steiner vertices) other than the pegs themselves.
When two bubbles merge,the bubbles will adopt the shape with the smallest possible surface area. Their common wall will bulge into the larger bubble, as smaller bubbles have a higher internal pressure.If the bubbles are of equal size, the wall will be flat.
At a point where three or more bubbles meet, they sort themselves out so that only three bubble walls meet along a line. Since the surface tension is the same in each of the three surfaces, the three angles between them must be equal angles of 120°.