Acronym trikep
Name triangle-icosahedron duoprismatic prism
Circumradius sqrt[(29+3 sqrt(5))/24] = 1.219771
Confer n,ike-dippip  

Incidence matrix according to Dynkin symbol

x x3o x3o5o

. . . . . . | 72 |  1  2   5 |  2  5  1  10   5 |  1 10  5  5  10 1 |  5 10 1  5 2 |  5 2 1
------------+----+-----------+------------------+-------------------+--------------+-------
x . . . . . |  2 | 36  *   * |  2  5  0   0   0 |  1 10  5  0   0 0 |  5 10 1  0 0 |  5 2 0
. x . . . . |  2 |  * 72   * |  1  0  1   5   0 |  1  5  0  5   5 0 |  5  5 0  5 1 |  5 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 | 36  *  *   *   * |  1  5  0  0   0 0 |  5  5 0  0 0 |  5 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 |  *  * 24   *   * |  1  0  0  5   0 0 |  5  0 0  5 0 |  5 0 1
. x . x . . |  4 |  0  2   2 |  *  *  * 180   * |  0  1  0  1   2 0 |  1  2 0  2 1 |  2 1 1
. . . x3o . |  3 |  0  0   3 |  *  *  *   * 120 |  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 | 12  *  *  *   * * |  5  0 0  0 0 |  5 0 0
x x . x . .   8 |  4  4   4 |  2  2  0   2   0 |  * 90  *  *   * * |  1  2 0  0 0 |  2 1 0
x . . x3o .   6 |  3  0   6 |  0  3  0   0   2 |  *  * 60  *   * * |  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 . x3o .   6 |  0  3   6 |  0  0  0   3   2 |  *  *  *  * 120 * |  0  1 0  1 1 |  1 1 1
. . . x3o5o  12 |  0  0  30 |  0  0  0   0  20 |  *  *  *  *   * 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 . x3o .  12 |  6  6  12 |  3  6  0   6   4 |  0  3  2  0   2 0 |  * 60 *  * * |  1 1 0
x . . x3o5o  24 | 12  0  60 |  0 30  0   0  40 |  0  0 20  0   0 2 |  *  * 3  * * |  0 2 0
. x3o x3o .   9 |  0  9   9 |  0  0  3   9   3 |  0  0  0  3   3 0 |  *  * * 40 * |  1 0 1
. x . x3o5o  24 |  0 12  60 |  0  0  0  30  40 |  0  0  0  0  20 2 |  *  * *  * 6 |  0 1 1
------------+----+-----------+------------------+-------------------+--------------+-------
x x3o x3o .  18 |  9 18  18 |  9  9  6  18   6 |  3  9  3  6   6 0 |  3  3 0  2 0 | 20 * *
x x . x3o5o  48 | 24 24 120 | 12 60  0  60  80 |  0 30 40  0  40 4 |  0 20 2  0 2 |  * 3 *
. x3o x3o5o  36 |  0 36  90 |  0  0 12  90  60 |  0  0  0 30  60 3 |  0  0 0 20 3 |  * * 2

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