Acronym	...
Name	Witting polychoron, complex polychoron x3-3-o3-3-o3-3-o3
Circumradius	1
Vertex figure	x3-3-o3-3-o3
Dual	selfdual
Face vector	240, 2160, 2160, 240
Confer	real space embedding: fy general polytopal classes: complex polytopes
External links

As its (complex) facets and vertrex figures are x₃-3-o₃-3-o₃, which in turn were substructures of jak, it becomes clear that those are to be searched for there. Thence the super- resp. sub-diagonal entries of the matrix get obvious therefrom.

Here the 2160 complex edges get ligned out by those 6480 (out of 6720) triangles' edges of fy, which do not belong to 40 of the central hexagons. In fact consider the above triacontagonal projection of fy. There those 240 in here missing (real) edges can be spotted as the 8 highlighted hexagons and their further 4 rotated counterparts each.

Incidence matrix according to Dynkin symbol

x3-3-o3-3-o3-3-o3

.    .    .    .  | 240 ♦   27 |   72 |  27
-----------------+-----+------+------+----
x3   .    .    .  |   3 | 2160 ♦    8 |   8
-----------------+-----+------+------+----
x3-3-o3   .    .  ♦   8 |    8 | 2160 |   3
-----------------+-----+------+------+----
x3-3-o3-3-o3   .  ♦  27 |   72 |   27 | 240