99 Point Hypothesis 99 points of diameter 1 in Euclidean space. 99 points bounding a volume of more than a half. Take one off, move them around (without increasing diameter) You can't bound a volume of 1/2 any more. A set of 99 points bounding a volume of 1/2 <http://math.stackexchange.com/questions/1616138/volume-of-1-2-using-hull-of-finite-point-set-with-diameter-1> and a picture is shown at math.stackexchange. No two points are further than 1 apart, hence diameter 1. I've been obsessed with the Biggest Little Polyhedron problem for almost a year now. But I've made gigantic amounts of progress since I originally wrote about the problem back in May. http://blog.wolfram.com/2015/05/20/biggest-little-polyhedronnew-solutions-in... In other new, I've had a demoralizing problem with computer crashes for over a year. Every time I worked on something mathematical at home for more than 5 minutes, I tended to have a computer crash. Turns out it was bad RAM, cost $30 to fix. Having a reliable computer at home feels almost weird now, but it's led to a bout of productivity. Ed Pegg Jr