After 200M random-move othello games, found a reachable position with #empties=35, mobility=29: +---+---+---+---+---+---+---+---+ | . | . | . | * | . | . | . | . | +---+---+---+---+---+---+---+---+ | . | . | 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)