Acronym hossdap
Name hollow small stellated dodecahedral antiprism,
pseudo sissid atop pseudo sissid
Circumradius 1/sqrt(2) = 0.707107
Confer
uniform relative:
sissiddip  
Grünbaumian relatives:
β2β5o5/2o  
general polytopal classes:
scaliform  
External
links
hedrondude   polytopewiki  

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 β2β5o5/2o, then omitting the Grünbaumian 2sissid (?) bases.


Incidence matrix

pseudo sissid || pseudo sissid   → height = sqrt[(sqrt(5)-1)/2] = 0.786151

12  * |  5  5  0 |  5 10  5  0 |  5  5  1
 * 12 |  0  5  5 |  0  5 10  5 |  1  5  5
------+----------+-------------+---------
 2  0 | 30  *  * |  2  2  0  0 |  2  2  0
 1  1 |  * 60  * |  0  2  2  0 |  1  2  1
 0  2 |  *  * 30 |  0  0  2  2 |  0  2  2
------+----------+-------------+---------
 5  0 |  5  0  0 | 12  *  *  * |  1  1  0  {5/2}
 2  1 |  1  2  0 |  * 60  *  * |  1  1  0
 1  2 |  0  2  1 |  *  * 60  * |  0  1  1
 0  5 |  0  0  5 |  *  *  * 12 |  0  1  1  {5/2}
------+----------+-------------+---------
 5  1 |  5  5  0 |  1  5  0  0 | 12  *  *  stappy
 5  5 |  5 10  5 |  1  5  5  1 |  * 12  *  stap
 1  5 |  0  5  5 |  0  0  5  1 |  *  * 12  stappy
or
24 |  5  5 |  5  15 |  6  5
---+-------+--------+------
 2 | 60  * |  2   2 |  2  2
 2 |  * 60 |  0   4 |  2  2
---+-------+--------+------
 5 |  5  0 | 24   * |  1  1  {5/2}
 3 |  1  2 |  * 120 |  1  1
---+-------+--------+------
 6 |  5  5 |  1   5 | 24  *  stappy
10 | 10 10 |  2  10 |  * 12  stap

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