Acronym n,id-dip
Name n-gon - icosidodecahedron duoprism
Circumradius sqrt[(3+sqrt(5))/2+1/(4 sin2(π/n))]
Face vector 30n, 90n, 92n+30, 33n+60, n+32
Especially trid (n=3)   squid (n=4)   pid (n=5)   hid (n=6)   oid (n=8)   daid (n=10)  
Confer
general polytopal classes:
Wythoffian polytera  

Incidence matrix according to Dynkin symbol

xno o3x5o   (n>2)

. . . . . | 30n |   2   4 |  1   8   2   2 |  4   4   4 1 |  2  2 2
----------+-----+---------+----------------+--------------+--------
x . . . . |   2 | 30n   * |  1   4   0   0 |  4   2   2 0 |  2  2 1
. . . x . |   2 |   * 60n |  0   2   1   1 |  1   2   2 1 |  1  1 2
----------+-----+---------+----------------+--------------+--------
xno . . . |   n |   n   0 | 30   *   *   * |  4   0   0 0 |  2  2 0
x . . x . |   4 |   2   2 |  * 60n   *   * |  1   1   1 0 |  1  1 1
. . o3x . |   3 |   0   3 |  *   * 20n   * |  0   2   0 1 |  1  0 2
. . . x5o |   5 |   0   5 |  *   *   * 12n |  0   0   2 1 |  0  1 2
----------+-----+---------+----------------+--------------+--------
xno . x .   2n |  2n   n |  2   n   0   0 | 60   *   * * |  1  1 0
x . o3x .    6 |   3   6 |  0   3   2   0 |  * 20n   * * |  1  0 1
x . . x5o   10 |   5  10 |  0   5   0   2 |  *   * 12n * |  0  1 1
. . o3x5o   30 |   0  60 |  0   0  20  12 |  *   *   * n |  0  0 2
----------+-----+---------+----------------+--------------+--------
xno o3x .   3n |  3n  3n |  3  3n   n   0 |  3   n   0 0 | 20  * *
xno . x5o   5n |  5n  5n |  5  5n   0   n |  5   0   n 0 |  * 12 *
x . o3x5o   60 |  30 120 |  0  60  40  24 |  0  20  12 2 |  *  * n

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