this is a model of a superegg (or superellipse) and all variations of this shape will stand upright on their end to do their geometry.
image pictured is a bronze sculpture by piet hein with photo credit by Malene Thyssen, http://commons.wikimedia.org/wiki/User:Malene
3.81 w x
3.81 d x
1.5 w x
1.5 d x