Acronym tragrid
Name triangle - great-rhombicosidodecahedron duoprism
Circumradius sqrt[(97+36 sqrt(5))/12] = 3.845977
Confer
more general:
n,grid-dip  
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

x3o x3x5x

. . . . . | 360 |   2   1   1   1 |   1   2   2   2  1  1  1 |  1  1  1  2  2  2 1 |  1  1  1 2
----------+-----+-----------------+--------------------------+---------------------+-----------
x . . . . |   2 | 360   *   *   * |   1   1   1   1  0  0  0 |  1  1  1  1  1  1 0 |  1  1  1 1
. . x . . |   2 |   * 180   *   * |   0   2   0   0  1  1  0 |  1  0  0  2  2  0 1 |  1  1  0 2
. . . x . |   2 |   *   * 180   * |   0   0   2   0  1  0  1 |  0  1  0  2  0  2 1 |  1  0  1 2
. . . . x |   2 |   *   *   * 180 |   0   0   0   2  0  1  1 |  0  0  1  0  2  2 1 |  0  1  1 2
----------+-----+-----------------+--------------------------+---------------------+-----------
x3o . . . |   3 |   3   0   0   0 | 120   *   *   *  *  *  * |  1  1  1  0  0  0 0 |  1  1  1 0
x . x . . |   4 |   2   2   0   0 |   * 180   *   *  *  *  * |  1  0  0  1  1  0 0 |  1  1  0 1
x . . x . |   4 |   2   0   2   0 |   *   * 180   *  *  *  * |  0  1  0  1  0  1 0 |  1  0  1 1
x . . . x |   4 |   2   0   0   2 |   *   *   * 180  *  *  * |  0  0  1  0  1  1 0 |  0  1  1 1
. . x3x . |   6 |   0   3   3   0 |   *   *   *   * 60  *  * |  0  0  0  2  0  0 1 |  1  0  0 2
. . x . x |   4 |   0   2   0   2 |   *   *   *   *  * 90  * |  0  0  0  0  2  0 1 |  0  1  0 2
. . . x5x |  10 |   0   0   5   5 |   *   *   *   *  *  * 36 |  0  0  0  0  0  2 1 |  0  0  1 2
----------+-----+-----------------+--------------------------+---------------------+-----------
x3o x . .    6 |   6   3   0   0 |   2   3   0   0  0  0  0 | 60  *  *  *  *  * * |  1  1  0 0
x3o . x .    6 |   6   0   3   0 |   2   0   3   0  0  0  0 |  * 60  *  *  *  * * |  1  0  1 0
x3o . . x    6 |   6   0   0   3 |   2   0   0   3  0  0  0 |  *  * 60  *  *  * * |  0  1  1 0
x . x3x .   12 |   6   6   6   0 |   0   3   3   0  2  0  0 |  *  *  * 60  *  * * |  1  0  0 1
x . x . x    8 |   4   4   0   4 |   0   2   0   2  0  2  0 |  *  *  *  * 90  * * |  0  1  0 1
x . . x5x   20 |  10   0  10  10 |   0   0   5   5  0  0  2 |  *  *  *  *  * 36 * |  0  0  1 1
. . x3x5x  120 |   0  60  60  60 |   0   0   0   0 20 30 12 |  *  *  *  *  *  * 3 |  0  0  0 2
----------+-----+-----------------+--------------------------+---------------------+-----------
x3o x3x .   18 |  18   9   9   0 |   6   9   9   0  3  0  0 |  3  3  0  3  0  0 0 | 20  *  * *
x3o x . x   12 |  12   6   0   6 |   4   6   0   6  0  3  0 |  2  0  2  0  3  0 0 |  * 30  * *
x3o . x5x   30 |  30   0  15  15 |  10   0  15  15  0  0  3 |  0  5  5  0  0  3 0 |  *  * 12 *
x . x3x5x  240 | 120 120 120 120 |   0  60  60  60 40 60 24 |  0  0  0 20 30 12 2 |  *  *  * 3

snubbed forms: x3o s3s5s

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