Horoball Packings for the Lambert - cube Tilings in the Hyperbolic 3 - space
نویسنده
چکیده
– (p, q) (p > 2, q = 2). These infinite tiling series of cubes are the special cases of the classical Lambert-cube tilings. The dihedral angles of the Lambert-cube are πp (p > 2) at the 3 skew edges and π2 at the other edges. Their metric realization in the hyperbolic space H 3 is well known. A simple proof was described by E. Molnár in [10]. The volume of this Lambert-cube type was determined by R. Kellerhals in [6] (see 4.4). – (p, q) = (4, 4), (3, 6). In this cases the Lambert-cube types can be realized in the hyperbolic space H as well, because the cubes can be divided into hyperbolic simplices. These cubes have ideal vertices which lie on the absolute quadric of H.
منابع مشابه
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