Acronym gidditdid aidtid
Name great ditrigonary dodekicosidodecahedron atop icosidodecatruncated icosidodecahedron
Circumradius sqrt[13+4 sqrt(5)] = 4.684471
Face vector 180, 840, 268, 46
Confer
uniform relative:
skiv datapixady  
general polytopal classes:
segmentochora  

Incidence matrix according to Dynkin symbol

xx5/3xx3ox5*a&#x   → height = (sqrt(5)-1)/4 = 0.309017
(gidditdid || idtid)

o.5/3o.3o.5*a    | 60   * |  2  2   2  0  0  0 |  2  1  1  2  2  1  0  0  0 | 1  2  1  1 0
.o5/3.o3.o5*a    |  * 120 |  0  0   1  1  1  1 |  0  0  0  1  1  1  1  1  1 | 0  1  1  1 1
-----------------+--------+--------------------+----------------------------+-------------
x.   .. ..       |  2   0 | 60  *   *  *  *  * |  1  1  0  1  0  0  0  0  0 | 1  1  1  0 0
..   x. ..       |  2   0 |  * 60   *  *  *  * |  1  0  1  0  1  0  0  0  0 | 1  1  0  1 0
oo5/3oo3oo5*a&#x |  1   1 |  *  * 120  *  *  * |  0  0  0  1  1  1  0  0  0 | 0  1  1  1 0
.x   .. ..       |  0   2 |  *  *   * 60  *  * |  0  0  0  1  0  0  1  1  0 | 0  1  1  0 1
..   .x ..       |  0   2 |  *  *   *  * 60  * |  0  0  0  0  1  0  1  0  1 | 0  1  0  1 1
..   .. .x       |  0   2 |  *  *   *  *  * 60 |  0  0  0  0  0  1  0  1  1 | 0  0  1  1 1
-----------------+--------+--------------------+----------------------------+-------------
x.5/3x. ..       | 10   0 |  5  5   0  0  0  0 | 12  *  *  *  *  *  *  *  * | 1  1  0  0 0  {10/3}
x.   .. o.5*a    |  5   0 |  5  0   0  0  0  0 |  * 12  *  *  *  *  *  *  * | 1  0  1  0 0
..   x.3o.       |  3   0 |  0  3   0  0  0  0 |  *  * 20  *  *  *  *  *  * | 1  0  0  1 0
xx   .. ..   &#x |  2   2 |  1  0   2  1  0  0 |  *  *  * 60  *  *  *  *  * | 0  1  1  0 0
..   xx ..   &#x |  2   2 |  0  1   2  0  1  0 |  *  *  *  * 60  *  *  *  * | 0  1  0  1 0
..   .. ox   &#x |  1   2 |  0  0   2  0  0  1 |  *  *  *  *  * 60  *  *  * | 0  0  1  1 0
.x5/3.x ..       |  0  10 |  0  0   0  5  5  0 |  *  *  *  *  *  * 12  *  * | 0  1  0  0 1  {10/3}
.x   .. .x5*a    |  0  10 |  0  0   0  5  0  5 |  *  *  *  *  *  *  * 12  * | 0  0  1  0 1  {10}
..   .x3.x       |  0   6 |  0  0   0  0  3  3 |  *  *  *  *  *  *  *  * 20 | 0  0  0  1 1
-----------------+--------+--------------------+----------------------------+-------------
x.5/3x.3o.5*a     60   0 | 60 60   0  0  0  0 | 12 12 20  0  0  0  0  0  0 | 1  *  *  * *
xx5/3xx ..   &#x  10  10 |  5  5  10  5  5  0 |  1  0  0  5  5  0  1  0  0 | * 12  *  * *
xx   .. ox5*a&#x   5  10 |  5  0  10  5  0  5 |  0  1  0  5  0  5  0  1  0 | *  * 12  * *
..   xx3ox   &#x   3   6 |  0  3   6  0  3  3 |  0  0  1  0  3  3  0  0  1 | *  *  * 20 *
.x5/3.x3.x5*a      0 120 |  0  0   0 60 60 60 |  0  0  0  0  0  0 12 12 20 | *  *  *  * 1

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