This is a scaliform edge-faceting of a Grünbaumian double-cover of the small rhombated pentachoron (srip). The additional 20 hexagons are the diagonals of the former cuboctahedra (co), the additional 60 triangles are used to produce a octuple coincidence of the former co-co triangles.

Incidence matrix according to Dynkin symbol

β3x3o3β

both( . . . .    ) | 60 |  2  2  2  2 |  1  2  1  1  4  3  2 | 1  2  1 1  3
-------------------+----+-------------+----------------------+-------------
both( . x . .    ) |  2 | 60  *  *  * |  1  1  0  0  1  0  1 | 1  1  0 1  1
both( s . . s2*a ) |  2 |  * 60  *  * |  0  0  0  0  2  2  0 | 0  1  1 0  2
sefa( β3x . .    ) |  2 |  *  * 60  * |  0  1  0  1  1  0  0 | 1  1  0 0  1
sefa( . . o3β    ) |  2 |  *  *  * 60 |  0  0  1  0  0  1  1 | 0  0  1 1  1
-------------------+----+-------------+----------------------+-------------
both( . x3o .    ) |  3 |  3  0  0  0 | 20  *  *  *  *  *  * | 1  0  0 1  0
      β3x . .      ♦  6 |  3  0  3  0 |  * 20  *  *  *  *  * | 1  1  0 0  0
      . . o3β      ♦  3 |  0  0  0  3 |  *  * 20  *  *  *  * | 0  0  1 1  0
sefa( β3x3o .    ) |  3 |  0  0  3  0 |  *  *  * 20  *  *  * | 1  0  0 0  1
sefa( β3x . β2*a ) |  4 |  1  2  1  0 |  *  *  *  * 60  *  * | 0  1  0 0  1
sefa( β . o3β2*a ) |  3 |  0  2  0  1 |  *  *  *  *  * 60  * | 0  0  1 0  1
sefa( . x3o3β    ) |  6 |  3  0  0  3 |  *  *  *  *  *  * 20 | 0  0  0 1  1
-------------------+----+-------------+----------------------+-------------
      β3x3o .      ♦ 12 | 12  0 12  0 |  4  4  0  4  0  0  0 | 5  *  * *  *
      β3x . β2*a   ♦ 12 |  6  6  6  0 |  0  2  0  0  6  0  0 | * 10  * *  *
      β . o3β2*a   ♦  6 |  0  6  0  6 |  0  0  2  0  0  6  0 | *  * 10 *  *
      . x3o3β      ♦ 12 | 12  0  0 12 |  4  0  4  0  0  0  4 | *  *  * 5  *
sefa( β3x3o3β    ) ♦  9 |  3  6  3  3 |  0  0  0  1  3  3  1 | *  *  * * 20

starting figure: x3x3o3x