This site is devoted to mathematics and its applications. Created and run by Peter Saveliev.
Cells and cell complexes
From Intelligent Perception
Many thing can be represented as cell complexes. Certainly, the number one is binary image, see Cell decomposition of images. There are however other important examples.
Cell Complexes Arising from Materials.
The paragraph below is taken from an abstract by Robert MacPherson.
The structure of two different sorts of materials leads to a cell decomposition of a region of 3-space:
- Metals and ceramics are generally divided into individual crystals, typically of size ∼ 10^−5 meters, which are the cells of a cell complex.
- Foams are a cell complex whose cells are the individual bubbles. Both of these situations have interesting two dimensional analogues, which give cell decompositions of a region of 2-space:
- In very thin sheets of metals and ceramics, the grains are essentially two dimensional.
- Bubbles trapped between two parallel sheets of glass are essentially two dimensional.
The structures of these cell complexes are key to understanding many of the properties of the material. The cell complexes are very large and complicated.
See also Tessellation.
Digital discoveries
- Casinos Not On Gamstop
- Non Gamstop Casinos
- Casino Not On Gamstop
- Casino Not On Gamstop
- Non Gamstop Casinos UK
- Casino Sites Not On Gamstop
- Siti Non Aams
- Non Gamstop Casinos UK
- UK Casino Not On Gamstop
- Non Gamstop Casino UK
- UK Casinos Not On Gamstop
- UK Casino Not On Gamstop
- Non Gamstop Casino UK
- Non Gamstop Casinos
- Non Gamstop Casino Sites UK
- Best Non Gamstop Casinos
- Casino Sites Not On Gamstop
- Casino En Ligne Fiable