Acronym n,toe-dip
Name n-gon truncated-octahedron duoprism
Circumradius sqrt[5/2+1/(4 sin2(π/n))]
Especially tratoe (n=3)   squatoe (n=4)   hatoe (n=6)   otoe (n=8)   stotoe (n=8/3)  
Confer
general polytopal classes:
segmentotera  

Incidence matrix according to Dynkin symbol

xno x3x4o   (n>2)

. . . . . | 24n |   2   1   2 |  1   2   4  2  1 |  1  2  4  2 1 | 2 1 2
----------+-----+-------------+------------------+---------------+------
x . . . . |   2 | 24n   *   * |  1   1   2  0  0 |  1  2  2  1 0 | 2 1 1
. . x . . |   2 |   * 12n   * |  0   2   0  2  0 |  1  0  4  0 1 | 2 0 2
. . . x . |   2 |   *   * 24n |  0   0   2  1  1 |  0  1  2  2 1 | 1 1 2
----------+-----+-------------+------------------+---------------+------
xno . . . |   n |   n   0   0 | 24   *   *  *  * |  1  2  0  0 0 | 2 1 0
x . x . . |   4 |   2   2   0 |  * 12n   *  *  * |  1  0  2  0 0 | 2 0 1
x . . x . |   4 |   2   0   2 |  *   * 24n  *  * |  0  1  1  1 0 | 1 1 1
. . x3x . |   6 |   0   3   3 |  *   *   * 8n  * |  0  0  2  0 1 | 1 0 2
. . . x4o |   4 |   0   0   4 |  *   *   *  * 6n |  0  0  0  2 1 | 0 1 2
----------+-----+-------------+------------------+---------------+------
xno x . .   2n |  2n   n   0 |  2   n   0  0  0 | 12  *  *  * * | 2 0 0
xno . x .   2n |  2n   0   n |  2   0   n  0  0 |  * 24  *  * * | 1 1 0
x . x3x .   12 |   6   6   6 |  0   3   3  2  0 |  *  * 8n  * * | 1 0 1
x . . x4o    8 |   4   0   8 |  0   0   4  0  2 |  *  *  * 6n * | 0 1 1
. . x3x4o   24 |   0  12  24 |  0   0   0  8  6 |  *  *  *  * n | 0 0 2
----------+-----+-------------+------------------+---------------+------
xno x3x .   6n |  6n  3n  3n |  6  3n  3n  n  0 |  3  3  n  0 0 | 8 * *
xno . x4o   4n |  4n   0  4n |  4   0  4n  0  n |  0  4  0  n 0 | * 6 *
x . x3x4o   48 |  24  24  48 |  0  12  24 16 12 |  0  0  8  6 2 | * * n

xno x3x3x   (n>2)

. . . . . | 24n |   2   1   1   1 |  1   2   2   2  1  1  1 |  1  1  1  2  2  2 1 | 1 1 1 2
----------+-----+-----------------+-------------------------+---------------------+--------
x . . . . |   2 | 24n   *   *   * |  1   1   1   1  0  0  0 |  1  1  1  1  1  1 0 | 1 1 1 1
. . x . . |   2 |   * 12n   *   * |  0   2   0   0  1  1  0 |  1  0  0  2  2  0 1 | 1 1 0 2
. . . x . |   2 |   *   * 12n   * |  0   0   2   0  1  0  1 |  0  1  0  2  0  2 1 | 1 0 1 2
. . . . x |   2 |   *   *   * 12n |  0   0   0   2  0  1  1 |  0  0  1  0  2  2 1 | 0 1 1 2
----------+-----+-----------------+-------------------------+---------------------+--------
xno . . . |   n |   n   0   0   0 | 24   *   *   *  *  *  * |  1  1  1  0  0  0 0 | 1 1 1 0
x . x . . |   4 |   2   2   0   0 |  * 12n   *   *  *  *  * |  1  0  0  1  1  0 0 | 1 1 0 1
x . . x . |   4 |   2   0   2   0 |  *   * 12n   *  *  *  * |  0  1  0  1  0  1 0 | 1 0 1 1
x . . . x |   4 |   2   0   0   2 |  *   *   * 12n  *  *  * |  0  0  1  0  1  1 0 | 0 1 1 1
. . x3x . |   6 |   0   3   3   0 |  *   *   *   * 4n  *  * |  0  0  0  2  0  0 1 | 1 0 0 2
. . x . x |   4 |   0   2   0   2 |  *   *   *   *  * 6n  * |  0  0  0  0  2  0 1 | 0 1 0 2
. . . x3x |   6 |   0   0   3   3 |  *   *   *   *  *  * 8n |  0  0  0  0  0  2 1 | 0 0 1 2
----------+-----+-----------------+-------------------------+---------------------+--------
xno x . .   2n |  2n   n   0   0 |  2   n   0   0  0  0  0 | 12  *  *  *  *  * * | 1 1 0 0
xno . x .   2n |  2n   0   n   0 |  2   0   n   0  0  0  0 |  * 12  *  *  *  * * | 1 0 1 0
xno . . x   2n |  2n   0   0   n |  2   0   0   n  0  0  0 |  *  * 12  *  *  * * | 0 1 1 0
x . x3x .   12 |   6   6   6   0 |  0   3   3   0  2  0  0 |  *  *  * 4n  *  * * | 1 0 0 1
x . x . x    8 |   4   4   0   4 |  0   2   0   2  0  2  0 |  *  *  *  * 6n  * * | 0 1 0 1
x . . x3x   12 |   6   0   6   6 |  0   0   3   3  0  0  2 |  *  *  *  *  * 4n * | 0 0 1 1
. . x3x3x   24 |   0  12  12  12 |  0   0   0   0  4  6  4 |  *  *  *  *  *  * n | 0 0 0 2
----------+-----+-----------------+-------------------------+---------------------+--------
xno x3x .   6n |  6n  3n  3n   0 |  6  3n  3n   0  n  0  0 |  3  3  0  n  0  0 0 | 4 * * *
xno x . x   4n |  4n  2n   0  2n |  4  2n   0  2n  0  n  0 |  2  0  2  0  n  0 0 | * 6 * *
xno . x3x   6n |  6n   0  3n  3n |  6   0  3n  3n  0  0  n |  0  3  3  0  0  n 0 | * * 4 *
x . x3x3x   48 |  24  24  24  24 |  0  12  12  12  8 12  8 |  0  0  0  4  6  4 2 | * * * n

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