Acronym	odoe
Name	octagon - dodecahedron duoprism
Circumradius	sqrt[(17+4 sqrt(2)+3 sqrt(5))/8] = 1.915889
Face vector	160, 400, 356, 134, 20
Confer	more general: n,doe-dip   general polytopal classes: Wythoffian polytera
External links

Incidence matrix according to Dynkin symbol

x8o o3o5x

. . . . . | 160 |   2   3 |  1   6  3 |  3  6 1 |  3 2
----------+-----+---------+-----------+---------+-----
x . . . . |   2 | 160   * |  1   3  0 |  3  3 0 |  3 1
. . . . x |   2 |   * 240 |  0   2  2 |  1  4 1 |  2 2
----------+-----+---------+-----------+---------+-----
x8o . . . |   8 |   8   0 | 20   *  * |  3  0 0 |  3 0
x . . . x |   4 |   2   2 |  * 240  * |  1  2 0 |  2 1
. . . o5x |   5 |   0   5 |  *   * 96 |  0  2 1 |  1 2
----------+-----+---------+-----------+---------+-----
x8o . . x ♦  16 |  16   8 |  2   8  0 | 30  * * |  2 0
x . . o5x ♦  10 |   5  10 |  0   5  2 |  * 96 * |  1 1
. . o3o5x ♦  20 |   0  30 |  0   0 12 |  *  * 8 |  0 2
----------+-----+---------+-----------+---------+-----
x8o . o5x ♦  40 |  40  40 |  5  40  8 |  5  8 0 | 12 *
x . o3o5x ♦  40 |  20  60 |  0  30 24 |  0 12 2 |  * 8

x4x o3o5x

. . . . . | 160 |  1  1   3 |  1   3   3  3 |  3  3  3 1 |  3 1 1
----------+-----+-----------+---------------+------------+-------
x . . . . |   2 | 80  *   * |  1   3   0  0 |  3  3  0 0 |  3 1 0
. x . . . |   2 |  * 80   * |  1   0   3  0 |  3  0  3 0 |  3 0 1
. . . . x |   2 |  *  * 240 |  0   1   1  2 |  1  2  2 1 |  2 1 1
----------+-----+-----------+---------------+------------+-------
x4x . . . |   8 |  4  4   0 | 20   *   *  * |  3  0  0 0 |  3 0 0
x . . . x |   4 |  2  0   2 |  * 120   *  * |  1  2  0 0 |  2 1 0
. x . . x |   4 |  0  2   2 |  *   * 120  * |  1  0  2 0 |  2 0 1
. . . o5x |   5 |  0  0   5 |  *   *   * 96 |  0  1  1 1 |  1 1 1
----------+-----+-----------+---------------+------------+-------
x4x . . x ♦  16 |  8  8   8 |  2   4   4  0 | 30  *  * * |  2 0 0
x . . o5x ♦  10 |  5  0  10 |  0   5   0  2 |  * 48  * * |  1 1 0
. x . o5x ♦  10 |  0  5  10 |  0   0   5  2 |  *  * 48 * |  1 0 1
. . o3o5x ♦  20 |  0  0  30 |  0   0   0 12 |  *  *  * 8 |  0 1 1
----------+-----+-----------+---------------+------------+-------
x4x . o5x ♦  40 | 20 20  40 |  5  20  20  8 |  5  4  4 0 | 12 * *
x . o3o5x ♦  40 | 20  0  60 |  0  30   0 24 |  0 12  0 2 |  * 4 *
. x o3o5x ♦  40 |  0 20  60 |  0   0  30 24 |  0  0 12 2 |  * * 4