Renée Veysseyre

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The purpose of this work is to introduce a method with a view to obtaining the crystallographic point groups of five-dimensional space, i.e. the subgroups of the holohedries of these space crystal families. This paper is specifically devoted to numerical analysis, whereas the following ones deal with some applications to crystallography. These results have(More)
Our previous paper emphasized a method for obtaining the crystallographic point groups of five-dimensional space, i.e. the subgroups of the crystal family holohedries. Moreover, it recalled the names of the crystal families and the symbols of their holohedries. These results being obtained, this paper gives a geometrical symbol to each of these point groups(More)
This paper describes three methods to calculate the number of types of crystallographic Point Symmetry Operations (crPSOs for short) in a space of any finite dimension. We begin our presentation by recalling some properties of Point Operations: •crystallographic restrictions, •relation between the number of types of positive (crPSO+) and negative (crPSO−)(More)
The aim of this paper and of the following one [Weigel, Phan & Veysseyre (2008). Acta Cryst. A64, 687-697] is to complete the list of the Weigel-Phan-Veysseyre (WPV) symbols of the point groups of space E5 that was started in previous papers and in two reports of an IUCr Subcommittee on the Nomenclature of n-Dimensional Crystallography. In this paper, some(More)
This paper is devoted to the study of the crystal families with cubic symmetries and to the mathematical construction of all their point-symmetry groups. The mono cubic crystal families of n-dimensional space (E(n)) are defined and a list of these families is given for spaces E4, E5, E6 and E7 with the Weigel-Phan-Veysseyre (WPV) symbols of their(More)
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