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 40 triangles are used to produce a quadruple coincidence of a tetrahedral subset of the so far only doubled up octahedra (oct).

Incidence matrix according to Dynkin symbol

β3β3o3x

both( . . . . ) | 60 |  2   4  2 |  1  2  1  3  4  2 | 1  2 1  3
----------------+----+-----------+-------------------+----------
both( . . . x ) |  2 | 60   *  * |  1  0  0  0  2  1 | 0  1 1  2
sefa( s3s . . ) |  2 |  * 120  * |  0  1  0  1  1  0 | 1  1 0  1
sefa( . β3o . ) |  2 |  *   * 60 |  0  0  1  1  0  1 | 1  0 1  1
----------------+----+-----------+-------------------+----------
both( . . o3x ) |  3 |  3   0  0 | 20  *  *  *  *  * | 0  0 1  1
both( s3s . . ) ♦  3 |  0   3  0 |  * 40  *  *  *  * | 1  1 0  0
      . β3o .   ♦  3 |  0   0  3 |  *  * 20  *  *  * | 1  0 1  0
sefa( β3β3o . ) |  3 |  0   2  1 |  *  *  * 60  *  * | 1  0 0  1
sefa( s3s 2 x ) |  4 |  2   2  0 |  *  *  *  * 60  * | 0  1 0  1
sefa( . β3o3x ) |  6 |  3   0  3 |  *  *  *  *  * 20 | 0  0 1  1
----------------+----+-----------+-------------------+----------
      β3β3o .   ♦ 12 |  0  24 12 |  0  8  4 12  0  0 | 5  * *  *
both( s3s 2 x ) ♦  6 |  3   6  0 |  0  2  0  0  3  0 | * 20 *  *
      . β3o3x   ♦ 12 | 12   0 12 |  4  0  4  0  0  4 | *  * 5  *
sefa( β3β3o3x ) ♦  9 |  6   0  3 |  1  0  0  3  3  1 | *  * * 20

starting figure: x3x3o3x