This talk was delivered at the awards ceremony for the 2012 Bikuben Foundation Danish Museum Prize in Copenhagen, Denmark. Ideas about what museums are, who they serve, and the role they play in society are changing with dramatic speed, driven largely by social media and the participatory culture of global networks. Denmark supports world-class museums, with remarkable collections, expert staff, and beautiful architecture. But how can museum leaders balance the traditional concepts of organizational mission and outcomes with the disruptive possibilities being demonstrated by those who love and use museums in new ways? A text version of this presentation, with hyperlinks and footnotes, is available at http://www.slideshare.net/edsonm/michael-edson-lego-beowulf-and-the-web-of-hands-and-hearts-for-the-danish-national-museum-awards-13444266