Topological collapse of a Möbius soap film
Topological transition of a Möbius soap film developing a twist fold singularity
A Möbius soap film evolution is captured by a high-speed movie (5600 frames/sec), that detects the film collapse and the production of a twist fold singularity (cusp catastrophe). As the soap film frame is gradually distorted, a critical point is reached at which the one-sided film transforms rapidly to a two-sided film. The twisted Plateau border (and induced caustic) is highlighted by a cyan led illumination with fluorescein added to the film.
Experimental set up and results provided by the Goldstein Lab (Cambridge U.).
Work published by R.E. Goldstein, H.K. Moffatt, A.I. Pesci & R.L. Ricca, Proc. Natnl. Acad. Sci. USA 107, 21979-21984 (2010).
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Twist fold singularity from a Möbius soap film collapse
A Möbius soap film evolution is captured by a high-speed movie (5600 frames/sec), that detects the film collapse and the production of a twist fold singularity (cusp catastrophe). As the soap film frame is gradually distorted, a critical point is reached at which the one-sided film transforms rapidly to a two-sided film. The twisted Plateau border (and induced caustic) is highlighted by a cyan led illumination with fluorescein added to the film.
Experimental set up and results provided by the Goldstein Lab (Cambridge U.).
Work published by R.E. Goldstein, H.K. Moffatt, A.I. Pesci & R.L. Ricca, Proc. Natnl. Acad. Sci. USA 107, 21979-21984 (2010).
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