Acronym	hid
Name	hexagon icosidodecahedron duoprism
Circumradius	sqrt[(5+sqrt(5))/2] = 1.902113
Face vector	180, 540, 582,258, 38
Confer	more general: n,id-dip   general polytopal classes: Wythoffian polytera
External links

Incidence matrix according to Dynkin symbol

x6o o3x5o

. . . . . | 180 |   2   4 |  1   8   2  2 |  4   4  4 1 |  2  2 2
----------+-----+---------+---------------+-------------+--------
x . . . . |   2 | 180   * |  1   4   0  0 |  4   2  2 0 |  2  2 1
. . . x . |   2 |   * 360 |  0   2   1  1 |  1   2  2 1 |  1  1 2
----------+-----+---------+---------------+-------------+--------
x6o . . . |   6 |   6   0 | 30   *   *  * |  4   0  0 0 |  2  2 0
x . . x . |   4 |   2   2 |  * 360   *  * |  1   1  1 0 |  1  1 1
. . o3x . |   3 |   0   3 |  *   * 120  * |  0   2  0 1 |  1  0 2
. . . x5o |   5 |   0   5 |  *   *   * 72 |  0   0  2 1 |  0  1 2
----------+-----+---------+---------------+-------------+--------
x6o . x . ♦  12 |  12   6 |  2   6   0  0 | 60   *  * * |  1  1 0
x . o3x . ♦   6 |   3   6 |  0   3   2  0 |  * 120  * * |  1  0 1
x . . x5o ♦  10 |   5  10 |  0   5   0  2 |  *   * 72 * |  0  1 1
. . o3x5o ♦  30 |   0  60 |  0   0  20 12 |  *   *  * 6 |  0  0 2
----------+-----+---------+---------------+-------------+--------
x6o o3x . ♦  18 |  18  18 |  3  18   6  0 |  3   6  0 0 | 20  * *
x6o . x5o ♦  30 |  30  30 |  5  30   0  6 |  5   0  6 0 |  * 12 *
x . o3x5o ♦  60 |  30 120 |  0  60  40 24 |  0  20 12 2 |  *  * 6

x3x o3x5o

. . . . . | 180 |  1  1   4 |  1   4   4   2  2 |  4  2  2  2  2 1 |  2  2 1 1
----------+-----+-----------+-------------------+------------------+----------
x . . . . |   2 | 90  *   * |  1   4   0   0  0 |  4  2  2  0  0 0 |  2  2 1 0
. x . . . |   2 |  * 90   * |  1   0   4   0  0 |  4  0  0  2  2 0 |  2  2 0 1
. . . x . |   2 |  *  * 360 |  0   1   1   1  1 |  1  1  1  1  1 1 |  1  1 1 1
----------+-----+-----------+-------------------+------------------+----------
x3x . . . |   6 |  3  3   0 | 30   *   *   *  * |  4  0  0  0  0 0 |  2  2 0 0
x . . x . |   4 |  2  0   2 |  * 180   *   *  * |  1  1  1  0  0 0 |  1  1 1 0
. x . x . |   4 |  0  2   2 |  *   * 180   *  * |  1  0  0  1  1 0 |  1  1 0 1
. . o3x . |   3 |  0  0   3 |  *   *   * 120  * |  0  1  0  1  0 1 |  1  0 1 1
. . . x5o |   5 |  0  0   5 |  *   *   *   * 72 |  0  0  1  0  1 1 |  0  1 1 1
----------+-----+-----------+-------------------+------------------+----------
x3x . x . ♦  12 |  6  6   6 |  2   3   3   0  0 | 60  *  *  *  * * |  1  1 0 0
x . o3x . ♦   6 |  3  0   6 |  0   3   0   2  0 |  * 60  *  *  * * |  1  0 1 0
x . . x5o ♦  10 |  5  0  10 |  0   5   0   0  2 |  *  * 36  *  * * |  0  1 1 0
. x o3x . ♦   6 |  0  3   6 |  0   0   3   2  0 |  *  *  * 60  * * |  1  0 0 1
. x . x5o ♦  10 |  0  5  10 |  0   0   5   0  2 |  *  *  *  * 36 * |  0  1 0 1
. . o3x5o ♦  30 |  0  0  60 |  0   0   0  20 12 |  *  *  *  *  * 6 |  0  0 1 1
----------+-----+-----------+-------------------+------------------+----------
x3x o3x . ♦  18 |  9  9  18 |  3   9   9   6  0 |  3  3  0  3  0 0 | 20  * * *
x3x . x5o ♦  30 | 15 15  30 |  5  15  15   0  6 |  5  0  3  0  3 0 |  * 12 * *
x . o3x5o ♦  60 | 30  0 120 |  0  60   0  40 24 |  0 20 12  0  0 2 |  *  * 3 *
. x o3x5o ♦  60 |  0 30 120 |  0   0  60  40 24 |  0  0  0 20 12 2 |  *  * * 3