The coordinates of a unit octaexon centered on the origin can be given as:
{1/4, 1/4, 1/4, 1/4, 1/4, 1/4, 1/4}
{1/4, 1/4, 1/4 ,-1/4, -1/4, -1/4, -1/4}
{1/4, -1/4, -1/4, -1/4, -1/4, 1/4, 1/4}
{1/4, -1/4, -1/4, 1/4, 1/4, -1/4, -1/4}
{-1/4, 1/4, -1/4, 1/4, -1/4, 1/4, -1/4}
{-1/4, 1/4, -1/4, -1/4, 1/4, -1/4, 1/4}
{-1/4, -1/4, 1/4, 1/4, -1/4, -1/4, 1/4}
{-1/4, -1/4, 1/4, -1/4, 1/4, 1/4, -1/4}
Is this known?