The KAGOME lattice (kagome lattice) says the pattern that atoms seen in crystal lattice arranged into a basket eyes form. I am called a lattice, but it is related to a hexagonal Thai ring (plane filling by a triangle and the hexagon) triangular than a mathematical lattice closely.
As for some mineral crystal structure such as jarosite and Sumi Herbert's stones, atom placement becomes the KAGOME lattice. These minerals show rare properties of matter to be tied to geometric magnetism frustration. This word is used in scientific literature particularly a two-dimensional or three-dimensional magnetic characteristic study well.
This article is taken from the Japanese Wikipedia KAGOME lattice
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