Infinity MileageLands (what a name!) is the frequent flyer program of Taiwan-based EVA Air, a member of Star Alliance. You can redeem EVA Air Infinity MileageLands miles to fly on EVA Air, UNI Air or any Star Alliance airline:
EVA Air Inifinity MileageLands uses region-based award charts. There are separate awards for EVA Air & UNI Air flights, and Star Alliance partner awards.
See the EVA Air website for more information about EVA Air/UNI Air award tickets and Star Alliance award tickets.
EVA Air also offers a Star Alliance round-the-world award. This costs 180,000 miles for Economy, 325,000 miles for Business or 480,000 miles for Business.