Hexeractidiminished rectified hexacontatetrapeton

The hexeractidiminished rectified hexacontatetrapeton or xedrag, also known as the square cuboctahedroltriate, is a convex scaliform polypeton that consists of 12 hexadecachoric prisms and 64 tridiminished rectified hexatera 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:

$$\biggl(0,0,\pm\frac{1}{2},\pm\frac{1}{2},\pm\frac{1}{2},\pm\frac{1}{2}\biggr)$$

$$\biggl(\pm\frac{1}{2},\pm\frac{1}{2},0,0,\pm\frac{1}{2},\pm\frac{1}{2}\biggr)$$

$$\biggl(\pm\frac{1}{2},\pm\frac{1}{2},\pm\frac{1}{2},\pm\frac{1}{2},0,0\biggr)$$

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