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
hedrondude   polytopewiki   WikiChoron

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

© 2004-2024
top of page