This polychoron is obtained as mere alternation of tico. However it is possible to resize all edges to unit sizes again. That variant then is well-known as sadi and happens to be a special diminishing of ex.

The name snub rhombatohexadecachoron esp. refers to the general s3s3s4o variant.

Incidence matrix according to Dynkin symbol

s3s4o3o

demi( . . . . ) | 96 |   3   6 |  3   9  3 |  3  1  4
----------------+----+---------+-----------+---------
      . s4o .   |  2 | 144   * |  0   2  2 |  1  1  2  q
sefa( s3s . . ) |  2 |   * 288 |  1   2  0 |  2  0  1  h
----------------+----+---------+-----------+---------
      s3s . .   ♦  3 |   0   3 | 96   *  * |  2  0  0  h3o
sefa( s3s4o . ) |  3 |   1   2 |  * 288  * |  1  0  1  oq&#h
sefa( . s4o3o ) |  3 |   3   0 |  *   * 96 |  0  1  1  q3o
----------------+----+---------+-----------+---------
      s3s4o .   | 12 |   6  24 |  8  12  0 | 24  *  *  snit
      . s4o3o   |  4 |   6   0 |  0   0  4 |  * 24  *  q-tet
sefa( s3s4o3o ) |  4 |   3   3 |  0   3  1 |  *  * 96  oq3oo&#h (tet variant)

starting figure: x3x4o3o

s3s3s4o

demi( . . . . ) | 96 |  2  1  2   4 |  1  2   6  3  3 |  2  1 1  4
----------------+----+--------------+-----------------+-----------
      s 2 s .   |  2 | 96  *  *   * |  0  0   2  2  0 |  1  1 0  2  q
      . . s4o   |  2 |  * 48  *   * |  0  0   0  2  2 |  0  1 1  2  q
sefa( s3s . . ) |  2 |  *  * 96   * |  1  0   2  0  0 |  2  0 0  1  h
sefa( . s3s . ) |  2 |  *  *  * 192 |  0  1   1  0  1 |  1  0 1  1  h
----------------+----+--------------+-----------------+-----------
      s3s . .   ♦  3 |  0  0  3   0 | 32  *   *  *  * |  2  0 0  0  h3o
      . s3s .   ♦  3 |  0  0  0   3 |  * 64   *  *  * |  1  0 1  0  h3o
sefa( s3s3s . ) |  3 |  1  0  1   1 |  *  * 192  *  * |  1  0 0  1  oq&#h
sefa( s 2 s4o ) |  3 |  2  1  0   0 |  *  *   * 96  * |  0  1 0  1  q3o
sefa( . s3s4o ) |  3 |  0  1  0   2 |  *  *   *  * 96 |  0  0 1  1  oq&#h
----------------+----+--------------+-----------------+-----------
      s3s3s .   | 12 |  6  0 12  12 |  4  4  12  0  0 | 16  * *  *  snit
      s 2 s4o   |  4 |  4  2  0   0 |  0  0   0  4  0 |  * 24 *  *  q-tet
      . s3s4o   | 12 |  0  6  0  24 |  0  8   0  0 12 |  *  * 8  *  snit
sefa( s3s3s4o ) |  4 |  2  1  1   2 |  0  0   2  1  1 |  *  * * 96  oq3oo&#h (tet variant)

starting figure: x3x3x4o

s3s3s *b3s

demi( . . .    . ) | 96 |  1  1  1  2  2  2 |  1  1  1  3  3  3  3 | 1 1  1 1  4
-------------------+----+-------------------+----------------------+------------
      s 2 s    .   |  2 | 48  *  *  *  *  * |  0  0  0  2  0  2  0 | 1 0  1 0  2  q
      s 2 .    s   |  2 |  * 48  *  *  *  * |  0  0  0  0  2  2  0 | 0 1  1 0  2  q
      . 2 s    s   |  2 |  *  * 48  *  *  * |  0  0  0  0  0  2  2 | 0 0  1 1  2  q
sefa( s3s .    . ) |  2 |  *  *  * 96  *  * |  1  0  0  1  1  0  0 | 1 1  0 0  1  h
sefa( . s3s    . ) |  2 |  *  *  *  * 96  * |  0  1  0  1  0  0  1 | 1 0  0 1  1  h
sefa( . s . *b3s ) |  2 |  *  *  *  *  * 96 |  0  0  1  0  1  0  1 | 0 1  0 1  1  h
-------------------+----+-------------------+----------------------+------------
      s3s .    .   ♦  3 |  0  0  0  3  0  0 | 32  *  *  *  *  *  * | 1 1  0 0  0  h3o
      . s3s    .   ♦  3 |  0  0  0  0  3  0 |  * 32  *  *  *  *  * | 1 0  0 1  0  h3o
      . s . *b3s   ♦  3 |  0  0  0  0  0  3 |  *  * 32  *  *  *  * | 0 1  0 1  0  h3o
sefa( s3s3s    . ) |  3 |  1  0  0  1  1  0 |  *  *  * 96  *  *  * | 1 0  0 0  1  oq&#h
sefa( s3s . *b3s ) |  3 |  0  1  0  1  0  1 |  *  *  *  * 96  *  * | 0 1  0 0  1  oq&#h
sefa( s 2 s  2 s ) |  3 |  1  1  1  0  0  0 |  *  *  *  *  * 96  * | 0 0  1 0  1  q3o
sefa( . s3s *b3s ) |  3 |  0  0  1  0  1  1 |  *  *  *  *  *  * 96 | 0 0  0 1  1  oq&#h
-------------------+----+-------------------+----------------------+------------
      s3s3s    .   | 12 |  6  0  0 12 12  0 |  4  4  0 12  0  0  0 | 8 *  * *  *  snit
      s3s . *b3s   | 12 |  0  6  0 12  0 12 |  4  0  4  0 12  0  0 | * 8  * *  *  snit
      s 2 s  2 s   |  4 |  2  2  2  0  0  0 |  0  0  0  0  0  4  0 | * * 24 *  *  q-tet
      . s3s *b3s   | 12 |  0  0  6  0 12 12 |  0  4  4  0  0  0 12 | * *  * 8  *  snit
sefa( s3s3s *b3s ) |  4 |  1  1  1  1  1  1 |  0  0  0  1  1  1  1 | * *  * * 96  oq3oo&#h (tet variant)

starting figure: x3x3x *b3x