Acronym	oid
Name	octagon-icosidodecahedron duoprism
Circumradius	sqrt[(5+sqrt(2)+sqrt(5))/2] = 2.079697
Face vector	240, 720, 766, 324, 40
Confer	more general: n,id-dip   general polytopal classes: Wythoffian polytera
External links

Incidence matrix according to Dynkin symbol

x8o o3x5o

. . . . . | 240 |   2   4 |  1   8   2  2 |  4   4  4 1 |  2  2 2
----------+-----+---------+---------------+-------------+--------
x . . . . |   2 | 240   * |  1   4   0  0 |  4   2  2 0 |  2  2 1
. . . x . |   2 |   * 480 |  0   2   1  1 |  1   2  2 1 |  1  1 2
----------+-----+---------+---------------+-------------+--------
x8o . . . |   8 |   8   0 | 30   *   *  * |  4   0  0 0 |  2  2 0
x . . x . |   4 |   2   2 |  * 480   *  * |  1   1  1 0 |  1  1 1
. . o3x . |   3 |   0   3 |  *   * 160  * |  0   2  0 1 |  1  0 2
. . . x5o |   5 |   0   5 |  *   *   * 96 |  0   0  2 1 |  0  1 2
----------+-----+---------+---------------+-------------+--------
x8o . x . ♦  16 |  16   8 |  2   8   0  0 | 60   *  * * |  1  1 0
x . o3x . ♦   6 |   3   6 |  0   3   2  0 |  * 160  * * |  1  0 1
x . . x5o ♦  10 |   5  10 |  0   5   0  2 |  *   * 96 * |  0  1 1
. . o3x5o ♦  30 |   0  60 |  0   0  20 12 |  *   *  * 8 |  0  0 2
----------+-----+---------+---------------+-------------+--------
x8o o3x . ♦  24 |  24  24 |  3  24   8  0 |  3   8  0 0 | 20  * *
x8o . x5o ♦  40 |  40  40 |  5  40   0  8 |  5   0  8 0 |  * 12 *
x . o3x5o ♦  60 |  30 120 |  0  60  40 24 |  0  20 12 2 |  *  * 8

x4x o3x5o

. . . . . | 240 |   1   1   4 |  1   4   4   2  2 |  4  2  2  2  2 1 |  2  2 1 1
----------+-----+-------------+-------------------+------------------+----------
x . . . . |   2 | 120   *   * |  1   4   0   0  0 |  4  2  2  0  0 0 |  2  2 1 0
. x . . . |   2 |   * 120   * |  1   0   4   0  0 |  4  0  0  2  2 0 |  2  2 0 1
. . . x . |   2 |   *   * 480 |  0   1   1   1  1 |  1  1  1  1  1 1 |  1  1 1 1
----------+-----+-------------+-------------------+------------------+----------
x4x . . . |   8 |   4   4   0 | 30   *   *   *  * |  4  0  0  0  0 0 |  2  2 0 0
x . . x . |   4 |   2   0   2 |  * 240   *   *  * |  1  1  1  0  0 0 |  1  1 1 0
. x . x . |   4 |   0   2   2 |  *   * 240   *  * |  1  0  0  1  1 0 |  1  1 0 1
. . o3x . |   3 |   0   0   3 |  *   *   * 160  * |  0  1  0  1  0 1 |  1  0 1 1
. . . x5o |   5 |   0   0   5 |  *   *   *   * 96 |  0  0  1  0  1 1 |  0  1 1 1
----------+-----+-------------+-------------------+------------------+----------
x4x . x . ♦  16 |   8   8   8 |  2   4   4   0  0 | 60  *  *  *  * * |  1  1 0 0
x . o3x . ♦   6 |   3   0   6 |  0   3   0   2  0 |  * 80  *  *  * * |  1  0 1 0
x . . x5o ♦  10 |   5   0  10 |  0   5   0   0  2 |  *  * 48  *  * * |  0  1 1 0
. x o3x . ♦   6 |   0   3   6 |  0   0   3   2  0 |  *  *  * 80  * * |  1  0 0 1
. x . x5o ♦  10 |   0   5  10 |  0   0   5   0  2 |  *  *  *  * 48 * |  0  1 0 1
. . o3x5o ♦  30 |   0   0  60 |  0   0   0  20 12 |  *  *  *  *  * 8 |  0  0 1 1
----------+-----+-------------+-------------------+------------------+----------
x4x o3x . ♦  24 |  12  12  24 |  3  12  12   8  0 |  3  4  0  4  0 0 | 20  * * *
x4x . x5o ♦  40 |  20  20  40 |  5  20  20   0  8 |  5  0  4  0  4 0 |  * 12 * *
x . o3x5o ♦  60 |  30   0 120 |  0  60   0  40 24 |  0 20 12  0  0 2 |  *  * 4 *
. x o3x5o ♦  60 |   0  30 120 |  0   0  60  40 24 |  0  0  0 20 12 2 |  *  * * 4