foam Weir - Phelan - a possible solution to the Kelvin problem
Kelvin 's task is the problem of combinatorial geometry about partitioning space by partitions of minimal area, formulated by Kelvin in 1887. [one]
Content
Wording
Present the tiling of space with polyhedra of equal volume with a minimum wall area.
History
- Kelvin himself proposed a partition into truncated octahedra; however, in 1993 a better partition was proposed, the so-called and other structures [2] .
See also
- Kepler's hypothesis
- Ball Packing
- Polytypia
Notes
- ↑ Lord Kelvin (Sir William Thomson) (1887), " On the Division of Space with Minimum Partitional Area ", Philosophical Magazine T. 24 (151): 503, doi : 10.1080 / 14786448708628135 , < http: // soft-matter. seas.harvard.edu/images/1/17/Kelvin_Cell.pdf > .
- ↑ Tasks of Kelvin, Dido and Weir-Phelan