MathDB

2008 PUMaC Geometry A8

Source:

November 9, 2012

geometrycombinatorial geometry

Problem Statement

In four-dimensional space, the

24

-cell of sidelength

\sqrt{2}

is the convex hull of (smallest convex set containing) the

24

points

(\pm 1, \pm 1, 0, 0)

and its permutations. Find the four-dimensional volume of this region.