Acronym	hog dhidicup
Name	hollow gidhid cupoliprism
Cross sections	©
Circumradius	sqrt[(11-3 sqrt(5))/8] = 0.732444
Vertex figure	©
Face vector	60, 240, 216, 36
Confer	general polytopal classes: scaliform
External links

Top and bottom is an alike oriented pseudo gidhid each. The staps run between directly aligned underneath pentagrams. The rastacues run slantedly between top pentagrams and bottom decagrams and vice versa.

Incidence matrix according to Dynkin symbol

reduced( xo5/3xx5/3ox5/2*a&#x by both x5/3x5/3o5/2*a )   → height = sqrt[(sqrt(5)-1)/2] = 0.786151
(pseudo gidhid || pseudo gidhid)

         o.5/3o.5/3o.5/2*a     | 30  * ♦  4   4  0 |  2 2  4  4  2  0 0 |  2  2  4
         .o5/3.o5/3.o5/2*a     |  * 30 ♦  0   4  4 |  0 0  2  4  4  2 2 |  4  2  2
-------------------------------+-------+-----------+--------------------+---------
reduced( x.   ..   ..      & ) |  2  0 | 60   *  * |  1 1  1  1  0  0 0 |  1  1  2
         oo5/3oo5/3oo5/2*a&#x  |  1  1 |  * 120  * |  0 0  1  1  1  0 0 |  1  1  1
reduced( ..   .x   ..      & ) |  0  2 |  *   * 60 |  0 0  0  1  1  1 1 |  2  1  1
-------------------------------+-------+-----------+--------------------+---------
reduced( ..   x.5/3o.      & ) |  5  0 |  5   0  0 | 12 *  *  *  *  * * |  1  1  0
         x.5/3x.   ..          | 10  0 | 10   0  0 |  * 6  *  *  *  * * |  0  0  2
         xo   ..   ..     &#x  |  2  1 |  1   2  0 |  * * 60  *  *  * * |  1  1  0
         ..   xx   ..     &#x  |  2  2 |  1   2  1 |  * *  * 60  *  * * |  1  0  1
         ..   ..   ox     &#x  |  1  2 |  0   2  1 |  * *  *  * 60  * * |  0  1  1
reduced( .o5/3.x   ..      & ) |  0  5 |  0   0  5 |  * *  *  *  * 12 * |  0  1  1
         ..   .x5/3.x          |  0 10 |  0   0 10 |  * *  *  *  *  * 6 |  2  0  0
-------------------------------+-------+-----------+--------------------+---------
         ..   xx5/3ox     &#x  |  5 10 |  5  10 10 |  1 0  5  5  0  0 1 | 12  *  *  rastacu
         xo   ..   ox5/2*a&#x  |  5  5 |  5  10  5 |  1 0  5  0  5  1 0 |  * 12  *  stap
         xo5/3xx   ..     &#x  | 10  5 | 10  10  5 |  0 1  0  5  5  1 0 |  *  * 12  rastacu

or
         o.5/3o.5/3o.5/2*a     & | 60 ♦   4   4 |   6  4  2  2 |  2  6
---------------------------------+----+---------+--------------+------
reduced( x.   ..   ..      & ) & |  2 | 120   * |   1  1  1  1 |  1  3
         oo5/3oo5/3oo5/2*a&#x    |  2 |   * 120 |   2  1  0  0 |  1  2
---------------------------------+----+---------+--------------+------
         xo   ..   ..     &#x  & |  3 |   1   2 | 120  *  *  * |  1  1
         ..   xx   ..     &#x    |  4 |   2   2 |   * 60  *  * |  0  2
reduced( ..   x.5/3o.      & ) & |  5 |   5   0 |   *  * 24  * |  1  1
         x.5/3x.   ..          & | 10 |  10   0 |   *  *  * 12 |  0  2
---------------------------------+----+---------+--------------+------
         xo   ..   ox5/2*a&#x    | 10 |  10  10 |  10  0  2  0 | 12  *  stap
         xo5/3xx   ..     &#x  & | 15 |  15  10 |   5  5  1  1 |  * 24  rastacu