Mathematical Models
The first collection of reviewed electronic geometry models was launched in October 2000. This online archive is open for any geometer to publish new geometric models, or to browse this site for material to be used in education and research.
Gackstatter_Mobile_tiny.jpg (10734 Byte)
The mobile collection is a set of five minimal surfaces created and balanced on occasion of Hermann Karcher's 60th birthday. All surfaces were first computed numerically, and then constructed in 'real' by stereo lithography from the digital data.
Double Bubble with Mirrors
The double bubble experiment with mirrors shows, after reflections, a torus-dumbbell configuration. The dumbbell sticks vertically through the hole of the torus, providing a virtual configuration of two closed soap bubble shapes. The full configuration was a candidate for an optimal solution of the double bubble conjecture but it is unstable in nature. That's why we, Gary Lawlor and myself, used a set of two mirrors to create a physical fraction of such a virtual double bubble which, after reflection in the mirrors, shows a complete virtual model. Gary and I also recorded a short MPEG video, taken in 1991 at MSRI with my first digital camera. At these days Frank Morgan was giving a lectures series on the double bubble conjecture. It was a very fruitful and stimulating atmosphere at this meeting on The Global Theory of Minimal Surfaces organized by David Hoffman, Joel Hass and others.

Here is a video of our experiments blowing the virtual torus-dumbell double bubble (Gary is shown in the clip).

© 1996-2012 Last modified: 23.04.2013 --- Konrad Polthier --- Freie Universität Berlin, Germany