Acronym n,doe-dip
Name n-gon - dodecahedron duoprism
Circumradius sqrt[(9+3 sqrt(5))/8+1/(4 sin2(π/n))]
Especially tradoe (n=3)   squadoe (n=4)   pedoe (n=5)   hadoe (n=6)   odoe (n=8)  
Confer
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

xno o3o5x   (n>2)

. . . . . | 20n |   2   3 |  1   6   3 |  3   6 1 |  3 2
----------+-----+---------+------------+----------+-----
x . . . . |   2 | 20n   * |  1   3   0 |  3   3 0 |  3 1
. . . . x |   2 |   * 30n |  0   2   2 |  1   4 1 |  2 2
----------+-----+---------+------------+----------+-----
xno . . . |   n |   n   0 | 20   *   * |  3   0 0 |  3 0
x . . . x |   4 |   2   2 |  * 30n   * |  1   2 0 |  2 1
. . . o5x |   5 |   0   5 |  *   * 12n |  0   2 1 |  1 2
----------+-----+---------+------------+----------+-----
xno . . x   2n |  2n   n |  2   n   0 | 30   * * |  2 0
x . . o5x   10 |   5  10 |  0   5   2 |  * 12n * |  1 1
. . o3o5x   20 |   0  30 |  0   0  12 |  *   * n |  0 2
----------+-----+---------+------------+----------+-----
xno . o5x   5n |  5n  5n |  5  5n   n |  5   n 0 | 12 *
x . o3o5x   40 |  20  60 |  0  30  24 |  0  12 2 |  * n

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