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- W2945776064 abstract "As noticed in 2006 by the author of the present article, the hypothetical crystal---described by crystallographer F. Laves (1932) for the first time and designated ``Laves' graph of girth ten by geometer H. S. M. Coxeter (1955)---is a unique crystal net sharing a remarkable symmetric property with the diamond crystal, thus deserving to be called the diamond twin although their shapes look quite a bit different at first sight. In this short note, we shall provide an interesting mutual relationship between them, expressed in terms of ``building blocks and ``period lattices. This may give further justification to employ the word ``twin. What is more, our discussion brings us to the notion of ``orthogonally symmetric lattice, a generalization of irreducible root lattices, which makes the diamond and its twin very distinct among all crystal structures." @default.
- W2945776064 created "2019-05-29" @default.
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- W2945776064 date "2019-04-15" @default.
- W2945776064 modified "2023-09-27" @default.
- W2945776064 title "Diamond Twin" @default.
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