Acronym tradope
Name triangle-dodecahedron duoprismatic prism
Circumradius sqrt[(41+9 sqrt(5))/24] = 1.595888
Confer n,doe-dippip  

Incidence matrix according to Dynkin symbol

x x3o o3o5x

. . . . . . | 120 |  1   2   3 |  2  3  1   6  3 |  1  6  3  3  6 1 |  3  6 1  3 2 |  3 2 1
------------+-----+------------+-----------------+------------------+--------------+-------
x . . . . . |   2 | 60   *   * |  2  3  0   0  0 |  1  6  3  0  0 0 |  3  6 1  0 0 |  3 2 0
. x . . . . |   2 |  * 120   * |  1  0  1   3  0 |  1  3  0  3  3 0 |  3  3 0  3 1 |  3 1 1
. . . . . x |   2 |  *   * 180 |  0  1  0   2  2 |  0  2  2  1  4 1 |  1  4 1  2 2 |  2 2 1
------------+-----+------------+-----------------+------------------+--------------+-------
x x . . . . |   4 |  2   2   0 | 60  *  *   *  * |  1  3  0  0  0 0 |  3  3 0  0 0 |  3 1 0
x . . . . x |   4 |  2   0   2 |  * 90  *   *  * |  0  2  2  0  0 0 |  1  4 1  0 0 |  2 2 0
. x3o . . . |   3 |  0   3   0 |  *  * 40   *  * |  1  0  0  3  0 0 |  3  0 0  3 0 |  3 0 1
. x . . . x |   4 |  0   2   2 |  *  *  * 180  * |  0  1  0  1  2 0 |  1  2 0  2 1 |  2 1 1
. . . . o5x |   5 |  0   0   5 |  *  *  *   * 72 |  0  0  1  0  2 1 |  0  2 1  1 2 |  1 2 1
------------+-----+------------+-----------------+------------------+--------------+-------
x x3o . . .    6 |  3   6   0 |  3  0  2   0  0 | 20  *  *  *  * * |  3  0 0  0 0 |  3 0 0
x x . . . x    8 |  4   4   4 |  2  2  0   2  0 |  * 90  *  *  * * |  1  2 0  0 0 |  2 1 0
x . . . o5x   10 |  5   0  10 |  0  5  0   0  2 |  *  * 36  *  * * |  0  2 1  0 0 |  1 2 0
. x3o . . x    6 |  0   6   3 |  0  0  2   3  0 |  *  *  * 60  * * |  1  0 0  2 0 |  2 0 1
. x . . o5x   10 |  0   5  10 |  0  0  0   5  2 |  *  *  *  * 72 * |  0  1 0  1 1 |  1 1 1
. . . o3o5x   20 |  0   0  30 |  0  0  0   0 12 |  *  *  *  *  * 6 |  0  0 1  0 2 |  0 2 1
------------+-----+------------+-----------------+------------------+--------------+-------
x x3o . . x   12 |  6  12   6 |  6  3  4   6  0 |  2  3  0  2  0 0 | 30  * *  * * |  2 0 0
x x . . o5x   20 | 10  10  20 |  5 10  0  10  4 |  0  5  2  0  2 0 |  * 36 *  * * |  1 1 0
x . . o3o5x   40 | 20   0  60 |  0 30  0   0 24 |  0  0 12  0  0 2 |  *  * 3  * * |  0 2 0
. x3o . o5x   15 |  0  15  15 |  0  0  5  15  3 |  0  0  0  5  3 0 |  *  * * 24 * |  1 0 1
. x . o3o5x   40 |  0  20  60 |  0  0  0  30 24 |  0  0  0  0 12 2 |  *  * *  * 6 |  0 1 1
------------+-----+------------+-----------------+------------------+--------------+-------
x x3o . o5x   30 | 15  30  30 | 15 15 10  30  6 |  5 15  3 10  6 0 |  5  3 0  2 0 | 12 * *
x x . o3o5x   80 | 40  40 120 | 20 60  0  60 48 |  0 30 24  0 24 4 |  0 12 2  0 2 |  * 3 *
. x3o o3o5x   60 |  0  60  90 |  0  0 20  90 36 |  0  0  0 30 36 3 |  0  0 0 12 3 |  * * 2

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