Rectified pentacontatetrapeton

The rectified pentacontatetrapeton, or ram, also called the rectified 122 polytope, is a convex uniform polypeton. It consists of 54 penteractitriacontaditera and 72 dodecatera. 2 dodecatera and 6 penteractitriacontaditera join at each triangular duoprismatic prismatic vertex. As the name suggests, it is the rectification of the pentacontatetrapeton. It is also the birectified icosiheptaheptacontadipeton.

The rectified pentacontatetrapeton contains the vertices of a cellirhombidodecateral prism and a hexagonal trioprism.

Representations
A rectified pentacontatetrapeton has the following Coxeter diagrams:


 * o3o3x3o3o *c3o (full symmetry)
 * oxooo3xoxox3oooxo *b3oxoxo3ooxoo&#xt (D5 axial, penteractitriacontaditeron-first)
 * oox(uoo)xoo3oxo(oox)oxo3xox(ouo)xox3oxo(xoo)oxo3oox(oou)xoo&#xt (A5 axial, dodecateron-first)