Acronym	hossdap
Name	hollow small stellated dodecahedral antiprism, pseudo sissid atop pseudo sissid
Circumradius	1/sqrt(2) = 0.707107
Face vector	24, 120, 144, 36
uniform relative: sissiddip   Grünbaumian relatives: xo5/2ox5/2oo5/2*a&#x   general polytopal classes: scaliform
External links

Top and bottom is an alike oriented pseudo sissid each. But its height is a bit smaller than for the sissiddip. The staps run between directly aligned underneath pentagrams.

The vertex figure of hossdap is a variant of stiscu, in fact the reduced version of xv5/2ov&#x (omitting its Grünbaumian double-covered bottom base).

This polychoron could be obtained itself as an accordingly reduced form of xo5/2ox5/2oo5/2*a&#x, then omitting the Grünbaumian 2sissid bases.

Incidence matrix according to Dynkin symbol

reduced( xo5/2ox5/2oo5/2*a&#x by x5/2o5/2o5/2*a each )
pseudo sissid || pseudo sissid   → height = sqrt[(sqrt(5)-1)/2] = 0.786151

o.5/2o.5/2o.5/2*a    | 12  * |  5  5  0 |  5 10  5  0 |  5  5  1
.o5/2.o5/2.o5/2*a    |  * 12 |  0  5  5 |  0  5 10  5 |  1  5  5
---------------------+-------+----------+-------------+---------
x.   ..   ..         |  2  0 | 30  *  * |  2  2  0  0 |  2  2  0
oo5/2oo5/2oo5/2*a&#x |  1  1 |  * 60  * |  0  2  2  0 |  1  2  1
..   .x   ..         |  0  2 |  *  * 30 |  0  0  2  2 |  0  2  2
---------------------+-------+----------+-------------+---------
x.5/2o.   ..         |  5  0 |  5  0  0 | 12  *  *  * |  1  1  0  {5/2}
xo   ..   ..     &#x |  2  1 |  1  2  0 |  * 60  *  * |  1  1  0
..   ox   ..     &#x |  1  2 |  0  2  1 |  *  * 60  * |  0  1  1
.o5/2.x   ..         |  0  5 |  0  0  5 |  *  *  * 12 |  0  1  1  {5/2}
---------------------+-------+----------+-------------+---------
xo   ..   oo5/2*a&#x |  5  1 |  5  5  0 |  1  5  0  0 | 12  *  *  stappy
xo5/2ox   ..     &#x |  5  5 |  5 10  5 |  1  5  5  1 |  * 12  *  stap
..   ox5/2oo     &#x |  1  5 |  0  5  5 |  0  0  5  1 |  *  * 12  stappy

or
o.5/2o.5/2o.5/2*a    & | 24 |  5  5 |  5  15 |  6  5
-----------------------+----+-------+--------+------
x.   ..   ..         & |  2 | 60  * |  2   2 |  2  2
oo5/2oo5/2oo5/2*a&#x   |  2 |  * 60 |  0   4 |  2  2
-----------------------+----+-------+--------+------
x.5/2o.   ..         & |  5 |  5  0 | 24   * |  1  1  {5/2}
xo   ..   ..     &#x & |  3 |  1  2 |  * 120 |  1  1
-----------------------+----+-------+--------+------
xo   ..   oo5/2*a&#x & |  6 |  5  5 |  1   5 | 24  *  stappy
xo5/2ox   ..     &#x   | 10 | 10 10 |  2  10 |  * 12  stap