Acronym n,sirco-dip
Name n-gon small-rhombicuboctahedron duoprism
Circumradius sqrt[(5+2 sqrt(2))/4+1/(4 sin2(π/n))]
Especially trasirco (n=3)   squasirco (n=4)   hasirco (n=6)  
Confer
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

xno x3o4x   (n>2)

. . . . . | 24n |   2   2   2 |  1   4   4  1   2  1 |  2  2  2   4  2 1 | 1  2 1 2
----------+-----+-------------+----------------------+-------------------+---------
x . . . . |   2 | 24n   *   * |  1   2   2  0   0  0 |  2  2  1   2  1 0 | 1  2 1 1
. . x . . |   2 |   * 24n   * |  0   2   0  1   1  0 |  1  0  2   2  0 1 | 1  1 0 2
. . . . x |   2 |   *   * 24n |  0   0   2  0   1  1 |  0  1  0   2  2 1 | 0  1 1 2
----------+-----+-------------+----------------------+-------------------+---------
xno . . . |   n |   n   0   0 | 24   *   *  *   *  * |  2  2  0   0  0 0 | 1  2 1 0
x . x . . |   4 |   2   2   0 |  * 24n   *  *   *  * |  1  0  1   1  0 0 | 1  1 0 1
x . . . x |   4 |   2   0   2 |  *   * 24n  *   *  * |  0  1  0   1  1 0 | 0  1 1 1
. . x3o . |   3 |   0   3   0 |  *   *   * 8n   *  * |  0  0  2   0  0 1 | 1  0 0 2
. . x . x |   4 |   0   2   2 |  *   *   *  * 12n  * |  0  0  0   2  0 1 | 0  1 0 2
. . . o4x |   4 |   0   0   4 |  *   *   *  *   * 6n |  0  0  0   0  2 1 | 0  0 1 2
----------+-----+-------------+----------------------+-------------------+---------
xno x . .   2n |  2n   n   0 |  2   n   0  0   0  0 | 24  *  *   *  * * | 1  1 0 0
xno . . x   2n |  2n   0   n |  2   0   n  0   0  0 |  * 24  *   *  * * | 0  1 1 0
x . x3o .    6 |   3   6   0 |  0   3   0  2   0  0 |  *  * 8n   *  * * | 1  0 0 1
x . x . x    8 |   4   4   4 |  0   2   2  0   2  0 |  *  *  * 12n  * * | 0  1 0 1
x . . o4x    8 |   4   0   8 |  0   0   4  0   0  2 |  *  *  *   * 6n * | 0  0 1 1
. . x3o4x   24 |   0  24  24 |  0   0   0  8  12  6 |  *  *  *   *  * n | 0  0 0 2
----------+-----+-------------+----------------------+-------------------+---------
xno x3o .   3n |  3n  3n   0 |  3  3n   0  n   0  0 |  3  0  n   0  0 0 | 8  * * *
xno x . x   4n |  4n  2n  2n |  4  2n  2n  0   n  0 |  2  2  0   n  0 0 | * 12 * *
xno . o4x   4n |  4n   0  4n |  4   0  4n  0   0  n |  0  4  0   0  n 0 | *  * 6 *
x . x3o4x   48 |  24  48  48 |  0  24  24 16  24 12 |  0  0  8  12  6 2 | *  * * n

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