Comment on A teaser by D. Eppstein

Isn't it as simple as: look at the bounding box; some simplex within the box is full, so V = Omega(volume), but each line in the direction of the box's longest dimension has at most one maximal point.

URL: http://valis.cs.uiuc.edu/blog/index.php/archives/2006/09/23/a-teaser/#comment-12493