Hexacontatetrapeton

The hexacontatetrapeton, or gee, also called the hexacross, 6-orthoplex, octahedral duotegum, or square triotegum, is one of the 3 regular polypeta. It has 64 regular hexatera as facets, joining 32 to a vertex in an triacontaditeral arrangement. It is the 6-dimensional orthoplex.

Vertex coordinates
The vertices of a regular hexacontatetrapeton of edge length 1, centered at the origin, are given by all permutations of:
 * (±$\sqrt{2}$/2, 0, 0, 0, 0, 0).