Methods, systems and apparatus for producing continuous basalt fibers, microfibers, and microspheres from high temperature melts are disclosed. A cold crucible induction furnace is used to super heat crushed basalt rock to form a melt. The melt is cooled prior to forming a fiber. The fiber produced from the superheated melt possesses superior properties not found with conventional basalt fibers produced in gas furnaces. In some implementations, the superheated melt is spun into continuous basalt fibers. In some implementations, the superheated melt is blown into microfibers and microspheres.