Hexeractidiminished rectified hexacontatetrapeton

The hexeractidiminished rectified hexacontatetrapeton or xedrag, also known as the square cuboctahedroltriate, is a convex scaliform polypeton that consists of 18 triangular duoantiwedges and 54 digonal-triangular duoantiwedges formed from deleting the vertices of a hexacontatetrapeton (considered as a square triotegum) from a rectified hexacontatetrapeton.

It was discovered on March 2, 2021.

Vertex coordinates
The vertices of a hexeractidiminished rectified hexacontatetrapeton of edge length 1 are given by:
 * (0, 0, ±1/2, ±1/2, ±1/2, ±1/2),
 * (±1/2, ±1/2, 0, 0, ±1/2, ±1/2),
 * (±1/2, ±1/2, ±1/2, ±1/2, 0, 0).

These coordinates show that a hexeractidiminished rectified hexacontatetrapeton can be obtained as the convex hull of three triorthoaligned tesseracts.