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Mathematics - Geometry & Topology | Touching Soap Films

Touching Soap Films

DVD-Video NTSC

Arnez, A., Polthier, K., Steffens, M., Teitzel, C.

1999, DVD.

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$49.95

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ISBN 978-3-540-24041-9

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Due: August 13, 2016


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DVD
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$49.95

(net) price for USA

ISBN 978-3-540-24093-8

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Due: August 13, 2016


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$32.85

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ISBN 978-3-540-92636-8

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Due: December 6, 1999


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  • The film has a unique mathematical content, which is not accessible anywhere else, neither in any printed publication nor any other film
  • It is of immense interest to researchers and students in mathematics, and a general science-interested audience
"Touching Soap Films" is a scientific video about the world of soap films designed for the general public. Few other physical problems have influenced as many branches of mathematics in the past 200 years as have the study of soap films. A soap film is physically similar to a piece of rubber surface which tries to contract itself under surface tension to a surface with least area. Surfaces with least area appear as optimal solutions of many problems. For example, since the 1960s, they have been used in architecture as models for light roof constructions such as the Olympic stadium in Munich. Also, in crystallography, physics and chemistry soap films are used as separating surfaces between grids of atoms. The video is completely computer generated. It explains the world of soap films and their properties in an amusing story, in which a young boy named Kalle explores the palace of soap films. Under the guidance of an old professor, Kalle gets fascinating insights and becomes a witness to never-before-seen shapes and animations of soap films. The video is designed to be understandable on two levels. On the first level, it is intended for the general public, and is understandable not only by students but also by anyone interested in science. However, most of the geometric animations come from recent mathematical research on minimal surfaces, some of which are new even for experts. Thus there is a second level of understanding, accessible with a deeper knowledge of differential geometry as it is taught at universities, making the video an ideal complimentary source of information for people with such knowledge. By presenting scientific research in the context of a video program the production team disseminates interesting scientific material to a broad audience.

Content Level » Research

Keywords » Differentialgeometrie - Minimalflächen - YellowSale2006 - differential geometry - minimal surfaces

Related subjects » Geometry & Topology - Image Processing - Theoretical, Mathematical & Computational Physics

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