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We present exact spherically symmetric dyonic black hole solutions infour-dimensional Einstein-Maxwell-dilaton gravity with Liouville-typepotentials for the dilaton field. These solutions have unusualasymptotics--they are neither asymptotically flat nor asymptotically (anti-) deSitter. The solutions have one or two horizons hiding a curvature singularityat the origin. A class of topological dyonic black holes with topology of atorus is also presented. Some basic properties of the black holes arediscussed.Comment: LaTex, 10 pages; v2 changes in introduction, new references added; v3  new section with n-dimensional solutions is adde

Non-asymptotically flat, non-dS/AdS dyonic black holes in dilaton gravity