Acronym	ditdidap
Name	ditrigonary-dodecadodecahedron antiprism
Cross sections	©
Circumradius	sqrt[(5+sqrt(5))/8] = 0.951057
Colonel of regiment	sidtidap
Face vector	40, 180, 168, 26
Confer	general polytopal classes: segmentochora
External links

As abstract polytope ditdidap is automorph, thereby interchanging the roles of pentagrams and pentagons, resp. of stap and pap

It occurs as the blend of sidtidap and gidtidap, blending out all their lacing tets.

Incidence matrix

ditdid || gyro ditdid   → height = sqrt[(sqrt(5)-1)/2] = 0.786151

20  * |  6  3  0 |  3  3  6  3  0  0 | 1  3  3 0
 * 20 |  0  3  6 |  0  0  3  6  3  3 | 0  3  3 1
------+----------+-------------------+----------
 2  0 | 60  *  * |  1  1  1  0  0  0 | 1  1  1 0
 1  1 |  * 60  * |  0  0  2  2  0  0 | 0  2  2 0
 0  2 |  *  * 60 |  0  0  0  1  1  1 | 0  1  1 1
------+----------+-------------------+-----------
 5  0 |  5  0  0 | 12  *  *  *  *  * | 1  1  0 0  {5}
 5  0 |  5  0  0 |  * 12  *  *  *  * | 1  0  1 0  {5/2}
 2  1 |  1  2  0 |  *  * 60  *  *  * | 0  1  1 0
 1  2 |  0  2  1 |  *  *  * 60  *  * | 0  1  1 0
 0  5 |  0  0  5 |  *  *  *  * 12  * | 0  1  0 1  {5}
 0  5 |  0  0  5 |  *  *  *  *  * 12 | 0  0  1 1  {5/2}
------+----------+-------------------+----------
20  0 | 60  0  0 | 12 12  0  0  0  0 | 1  *  * *  ditdid
 5  5 |  5 10  5 |  1  0  5  5  1  0 | * 12  * *  pap
 5  5 |  5 10  5 |  0  1  5  5  0  1 | *  * 12 *  stap
 0 20 |  0  0 60 |  0  0  0  0 12 12 | *  *  * 1  ditdid

or
40 |   6  3 |  3  3   9 | 1  3  3
---+--------+-----------+--------
 2 | 120  * |  1  1   1 | 1  1  1
 2 |   * 60 |  0  0   4 | 0  2  2
---+--------+-----------+--------
 5 |   5  0 | 24  *   * | 1  1  0  {5}
 5 |   5  0 |  * 24   * | 1  0  1  {5/2}
 3 |   1  2 |  *  * 120 | 0  1  1
---+--------+-----------+--------
20 |  60  0 | 12 12   0 | 2  *  *  ditdid
10 |  10 10 |  2  0  10 | * 12  *  pap
10 |  10 10 |  0  2  10 | *  * 12  stap