I've been having fun with two circle packing games this week.
The first from MathMunch:
[url]http://www.newgrounds.com/portal/view/506364[/url]
shared in [url]http://mathmunch.org/2014/11/16/grothendieck-circle-packing-and-string-art/[/url]
The second from my colleague Will Dickinson, a circle packing expert:
[url]http://www.addictinggames.com/puzzle-games/filler.jsp[/url]
This sketch lets you experiment with a situation like the first game. What is the smallest circle that can hold circles with radii 1 through n?