Sentences with phrase «soap film»

«Bursting the bubble: Solution to the Kirchhoff - Plateau problem: Researchers solve a mathematical problem illustrated by soap films spanning flexible loops.»

In 2015, Prof. Jenny Harrison of UC Berkley and Harrison Pugh of Stony Brook University extended the solution to the Plateau problem to account for more complicated soap film shapes such as this one.

More recently, in 2014, Professor Jenny Harrison from UC Berkeley extended Douglas's work, providing a proof valid under general hypotheses encompassing, for example, situations in which junctions are present where multiple soap films meet each other.

Applying an electric field to soap films creates controllable swirling patterns, a technique that could make precise manipulation of liquids easier

Watch a singularity form in a stretchy soap film This slow - motion lime - green bubble is trippy, but this is no lava lamp — it's a mathematics experiment

Soap film sounds too well scrubbed, but Fried looks best when his art most resembles a science experiment.

Researchers at the Okinawa Institute of Science and Technology Graduate University (OIST) have recently worked out the solution to a mathematical problem — known as the Kirchhoff - Plateau problem — that is simply illustrated by soap films that span flexible loops.

The soap film sticks to all six sides of the cube, the bubbles on the side push against the middle bubble giving it corners and sides like a cube.

The complication is that a flexible loop can change shape in response to the force exerted by the soap film.

This soap film contained within a metal rod has junctions where multiple soap films meet each other.

Plateau hypothesized that when you dip a rigid wire frame into a soap solution, the surface of the soap film formed on the frame represents a minimum mathematically possible area, no matter the shape of the frame.

In contrast to the Plateau problem in which a soap film spans a fixed frame, the Kirchhoff - Plateau problem concerns the equilibrium shapes of soap films that span flexible loops, made, for instance, of fishing line, that can be described using Kirchhoff's theory of rods — a model that provides a powerful approach for studying the statics and dynamics of thin elastic rods.

As Prof. Fried explains: «No matter how strong the competition is between surface tension of the soap film and the elastic response of the loop, the system is always able to adjust to achieve a configuration of least energy.»

Although filaments like fishing line are thin, they are orders of magnitude thicker than a soap film in equilibrium, meaning that the area of the soap film can change depending on the point at which the film contacts the loop.

As such, a solution to the problem requires determining not only the shape of the soap film but also the shape of the bounding loop.

In contrast, the shape of the boundary in the original Plateau problem is known because it is made of rigid wire that remains fixed against the relatively weak forces of the soap film.

Not to mention Frisbee discs, the surface of Pluto, and those beautifully colored patterns on soap film?

Shimmery rainbows appear in thicker portions of the soap film, while clusters of dark spots appear in the thinnest regions.

Under gravity's pull, the soap film flows, causing the patterns to shift over time until finally the bubble pops.

The thickness of the soap film determines the color seen.