Transitional triangular double triswirltegum

The transitional triangular double triswirltegum is a convex isochoric polychoron with 54 identical cells. It is the third in an infinite family of isochoric triangular tegmatic swirlchora, the others being the small triangular double triswirltegum and great triangular double triswirltegum.

Each cell of this polychoron has bilateral symmetry, with 1 rectangular-symmetric hexagon, 4 kites, and 4 isosceles triangles for faces.