During a search of 100M random-legal-move othello games, found this position with #empties=35 and mobility=28: +---+---+---+---+---+---+---+---+ | . | . | . | . | * | . | . | . | +---+---+---+---+---+---+---+---+ | . | O | . | O | * | O | O | . | +---+---+---+---+---+---+---+---+ | . | . | O | * | * | * | . | . | +---+---+---+---+---+---+---+---+ | . | O | O | * | O | O | O | . | +---+---+---+---+---+---+---+---+ | . | . | * | * | * | O | . | . | +---+---+---+---+---+---+---+---+ | . | . | O | O | O | . | . | . | +---+---+---+---+---+---+---+---+ | . | . | O | * | O | O | O | . | +---+---+---+---+---+---+---+---+ | . | . | . | * | . | . | . | . | +---+---+---+---+---+---+---+---+ -- Warren D. Smith http://RangeVoting.org <-- add your endorsement (by clicking "endorse" as 1st step)