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Introduction Plateau History Visualization Architecture Crystallography Weierstraß Properties 1 Properties 2 Properties 3 Symmetry Alteration Periodic Handles Production Scenes 1 Scenes 2 Scenes 3 Results Exhibition Numerics References Web Links
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Scenes from the Video I
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Fig 16. Guided by the professor,
Kalle explores the world of soap films. Video (3.5MB, 0.9MB)
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The video contains topics on two levels. On the first
level, it is a story about minimal surfaces intended for the general
public. It is an introduction to the world of minimal surfaces which is
understandable by pupils and students assuming no special scientific
background. The video is suitable for school presentations giving the
pupils an overview of the physical properties and applications of soap
films, and a glimpse into the world of minimal surfaces as a classic and
current research topic in mathematics.
Many of the geometric animations of the video come from
recent mathematical research on minimal surfaces, some of which are new
even for experts. This second level of understanding requires a deeper
mathematical knowledge and makes the video an ideal complementary source
of information for university courses in geometry and calculus of
variations.
Architectural Buildings
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Fig 17. A rubber band contracts to
a shortest curve under the tension of the rubber molecules. Video
(1.7MB, 0.4MB)
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The amusement park shown at the beginning of the video
contains a number of architectural constructions employing minimal
surfaces. Some of the buildings simulate the type of roof used at the
Olympic stadium in Munich in 1972, which is spanned between thick ropes. A
real image is shown later in the palace. One other building is similar to
the Institut für Leichte Flächentragwerke, the institute of the German
architect Frei Otto, who is one of the most influential representatives of
this architectural period of the 1960's and 1970's. Also shown is a rough
model of the Berlin Kongreßhalle and different tent roofs, still
frequently seen in parks worldwide.
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