Acronym trike
Name triangle - icosahedron duoprism
Circumradius sqrt[(23+3 sqrt(5))/24] = 1.112583
Confer
more general:
n,ike-dip  
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

x3o x3o5o

. . . . . | 36 |  2  5 |  1 10  5 |  5 10 1 |  5 2
----------+----+-------+----------+---------+-----
x . . . . |  2 | 36  * |  1  5  0 |  5  5 0 |  5 1
. . x . . |  2 |  * 90 |  0  2  2 |  1  4 1 |  2 2
----------+----+-------+----------+---------+-----
x3o . . . |  3 |  3  0 | 12  *  * |  5  0 0 |  5 0
x . x . . |  4 |  2  2 |  * 90  * |  1  2 0 |  2 1
. . x3o . |  3 |  0  3 |  *  * 60 |  0  2 1 |  1 2
----------+----+-------+----------+---------+-----
x3o x . .   6 |  6  3 |  2  3  0 | 30  * * |  2 0
x . x3o .   6 |  3  6 |  0  3  2 |  * 60 * |  1 1
. . x3o5o  12 |  0 30 |  0  0 20 |  *  * 3 |  0 2
----------+----+-------+----------+---------+-----
x3o x3o .   9 |  9  9 |  3  9  3 |  3  3 0 | 20 *
x . x3o5o  24 | 12 60 |  0 30 40 |  0 20 2 |  * 3

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