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日本数学会

小平邦彦賞 受賞講演 英文サマリ
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第1回日本数学会賞小平邦彦賞 受賞講演 英文サマリ

砂田 利一(明治大学・研究特別教授)

講演題目
ダイヤモンドの双子再訪
Diamond twin revisited
英文サマリ
As noticed in 2006 by the speaker of the present talk, 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 with a remarkable symmetric structure similar to the diamond crystal, thus deserving to be called the diamond twin although their shapes look quite a bit different at first sight. In this talk, I shall observe an interesting mutual relationship between them, expressed in terms of "orthogonally symmetric lattice," a generalization of irreducible root lattices. This may give further justification to use the word "twin."