Fluted corrugating media of unconventional configuration and the methods for their manufacture for use in corrugated fiberboard are described. These media may be asymmetrical in configuration or have very sharply angled flute tips. The new configurations are formed using at least one secondary corrugating stage to prevent tearing during formation. The flat crush strength of the medium may be enhanced by applying parallel lines of adhesive transversely to the flutes on at least one side. These adhesive lines at least partially fill the valleys of the flutes along the lines.