%0 Journal Article
%T Equidistant Surfaces in H^2¡ÁR Space
%A Pallagi
%A J¨¢nos
%A Schultz
%A Benedek
%A Szirmai
%A Jen£¿
%J -
%D 2011
%X Sa£¿etak After having investigated the equidistant surfaces (¡±perpendicular bisectors¡± of two points) in S^2¡ÁR space (see[6]) we consider the analogous problem in H^2¡ÁR space from among the eight Thurston geometries. In [10] the third author has determined the geodesic curves, geodesic balls of H^2¡ÁR space and has computed their volume, has defined the notion of the geodesic ball packing and its density. Moreover, he has developed a procedure to determine the density of the geodesic ball packing for generalized Coxeter space groups of H^2¡ÁR and he has applied this algorithm to them. In this paper we introduce the notion of the equidistant surface to two points in H^2¡ÁR geometry, determine its equation and we shall visualize it in some cases. The pictures have been made by the Wolfram Mathematica software
%K non-Euclidean geometries
%K geodesic curve
%K geodesic sphere
%K equidistant surface in H^2¡ÁR geometry
%U https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=114332