I am interested in the practical uses of mathematical minimal surfaces in engineering design (such as gyroids, Schwarz surfaces, etc.). Can anyone provide good examples, particularly in art and design (or nature-based design)? I am particularly interested in examples that have been physically created and used for some practical purpose or as art. However, I am having a hard time finding published work on this topic that is not purely computational.
If anyone has published work in this area, please consider sharing it in this thread so we can get a good discussion going.
Dear Albert,
(1) The egg shape (ellipsoid) is the minimal surface area that provides the most robust crust to save the inside materials.
(2) The old Egyptians believe that pyramids are the optimal buildings that have the minimal surfaces which prevent bodies decomposition that's why in the pharaonic age of they chose pyramids as graves.
Just look to nature, and you can see everything in our universe is created optimally, it is the art of God.
Best regards
Some new code from my group for visualizing some minimal surfaces. Technical report on this code and its need/applications will be posted in a few days.
Code 3-D Visualization of Common Minimal Surfaces
Deleted research item The research item mentioned here has been deleted
The following is on the agents that deploy on the surface of a sphere with minimal potential energy.
Wei Li and Mark W. Spong, “Unified cooperative control of multiple agents on a sphere for different spherical patterns,” IEEE Transactions on Automatic Control, vol. 59, no. 5, pp. 1283–1289, May 2014.
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