Acronym	osrid
Name	octagon - small-rhombicosidodecahedron duoprism
Circumradius	sqrt[15+2 sqrt(2)+4 sqrt(5)]/2 = 2.587117
Confer	more general: n,srid-dip   general polytopal classes: Wythoffian polytera
Face vector	480, 1440, 1516, 624, 70
External links

Incidence matrix according to Dynkin symbol

x8o x3o5x

. . . . . | 480 |   2   2   2 |  1   4   4   1   2  1 |  2  2   2   4  2 1 |  1  2  1 2
----------+-----+-------------+-----------------------+--------------------+-----------
x . . . . |   2 | 480   *   * |  1   2   2   0   0  0 |  2  2   1   2  1 0 |  1  2  1 1
. . x . . |   2 |   * 480   * |  0   2   0   1   1  0 |  1  0   2   2  0 1 |  1  1  0 2
. . . . x |   2 |   *   * 480 |  0   0   2   0   1  1 |  0  1   0   2  2 1 |  0  1  1 2
----------+-----+-------------+-----------------------+--------------------+-----------
x8o . . . |   8 |   8   0   0 | 60   *   *   *   *  * |  2  2   0   0  0 0 |  1  2  1 0
x . x . . |   4 |   2   2   0 |  * 480   *   *   *  * |  1  0   1   1  0 0 |  1  1  0 1
x . . . x |   4 |   2   0   2 |  *   * 480   *   *  * |  0  1   0   1  1 0 |  0  1  1 1
. . x3o . |   3 |   0   3   0 |  *   *   * 160   *  * |  0  0   2   0  0 1 |  1  0  0 2
. . x . x |   4 |   0   2   2 |  *   *   *   * 240  * |  0  0   0   2  0 1 |  0  1  0 2
. . . o5x |   5 |   0   0   5 |  *   *   *   *   * 96 |  0  0   0   0  2 1 |  0  0  1 2
----------+-----+-------------+-----------------------+--------------------+-----------
x8o x . . ♦  16 |  16   8   0 |  2   8   0   0   0  0 | 60  *   *   *  * * |  1  1  0 0
x8o . . x ♦  16 |  16   0   8 |  2   0   8   0   0  0 |  * 60   *   *  * * |  0  1  1 0
x . x3o . ♦   6 |   3   6   0 |  0   3   0   2   0  0 |  *  * 160   *  * * |  1  0  0 1
x . x . x ♦   8 |   4   4   4 |  0   2   2   0   2  0 |  *  *   * 240  * * |  0  1  0 1
x . . o5x ♦  10 |   5   0  10 |  0   0   5   0   0  2 |  *  *   *   * 96 * |  0  0  1 1
. . x3o5x ♦  60 |   0  60  60 |  0   0   0  20  30 12 |  *  *   *   *  * 8 |  0  0  0 2
----------+-----+-------------+-----------------------+--------------------+-----------
x8o x3o . ♦  24 |  24  24   0 |  3  24   0   8   0  0 |  3  0   8   0  0 0 | 20  *  * *
x8o x . x ♦  32 |  32  16  16 |  4  16  16   0   8  0 |  2  2   0   8  0 0 |  * 30  * *
x8o . o5x ♦  40 |  40   0  40 |  5   0  40   0   0  8 |  0  5   0   0  8 0 |  *  * 12 *
x . x3o5x ♦ 120 |  60 120 120 |  0  60  60  40  60 24 |  0  0  20  30 12 2 |  *  *  * 8

x4x x3o5x

. . . . . | 480 |   1   1   2   2 |  1   2   2   2   2   1   2  1 |  2  2  1   2  1  1   2  1 1 |  1  2  1 1 1
----------+-----+-----------------+-------------------------------+-----------------------------+-------------
x . . . . |   2 | 240   *   *   * |  1   2   2   0   0   0   0  0 |  2  2  1   2  1  0   0  0 0 |  1  2  1 1 0
. x . . . |   2 |   * 240   *   * |  1   0   0   2   2   0   0  0 |  2  2  0   0  0  1   2  1 0 |  1  2  1 0 1
. . x . . |   2 |   *   * 480   * |  0   1   0   1   0   1   1  0 |  1  0  1   1  0  1   1  0 1 |  1  1  0 1 1
. . . . x |   2 |   *   *   * 480 |  0   0   1   0   1   0   1  1 |  0  1  0   1  1  0   1  1 1 |  0  1  1 1 1
----------+-----+-----------------+-------------------------------+-----------------------------+-------------
x4x . . . |   8 |   4   4   0   0 | 60   *   *   *   *   *   *  * |  2  2  0   0  0  0   0  0 0 |  1  2  1 0 0
x . x . . |   4 |   2   0   2   0 |  * 240   *   *   *   *   *  * |  1  0  1   1  0  0   0  0 0 |  1  1  0 1 0
x . . . x |   4 |   2   0   0   2 |  *   * 240   *   *   *   *  * |  0  1  0   1  1  0   0  0 0 |  0  1  1 1 0
. x x . . |   4 |   0   2   2   0 |  *   *   * 240   *   *   *  * |  1  0  0   0  0  1   1  0 0 |  1  1  0 0 1
. x . . x |   4 |   0   2   0   2 |  *   *   *   * 240   *   *  * |  0  1  0   0  0  0   1  1 0 |  0  1  1 0 1
. . x3o . |   3 |   0   0   3   0 |  *   *   *   *   * 160   *  * |  0  0  1   0  0  1   0  0 1 |  1  0  0 1 1
. . x . x |   4 |   0   0   2   2 |  *   *   *   *   *   * 240  * |  0  0  0   1  0  0   1  0 1 |  0  1  0 1 1
. . . o5x |   5 |   0   0   0   5 |  *   *   *   *   *   *   * 96 |  0  0  0   0  1  0   0  1 1 |  0  0  1 1 1
----------+-----+-----------------+-------------------------------+-----------------------------+-------------
x4x x . . ♦  16 |   8   8   8   0 |  2   4   0   4   0   0   0  0 | 60  *  *   *  *  *   *  * * |  1  1  0 0 0
x4x . . x ♦  16 |   8   8   0   8 |  2   0   4   0   4   0   0  0 |  * 60  *   *  *  *   *  * * |  0  1  1 0 0
x . x3o . ♦   6 |   3   0   6   0 |  0   3   0   0   0   2   0  0 |  *  * 80   *  *  *   *  * * |  1  0  0 1 0
x . x . x ♦   8 |   4   0   4   4 |  0   2   2   0   0   0   2  0 |  *  *  * 120  *  *   *  * * |  0  1  0 1 0
x . . o5x ♦  10 |   5   0   0  10 |  0   0   5   0   0   0   0  2 |  *  *  *   * 48  *   *  * * |  0  0  1 1 0
. x x3o . ♦   6 |   0   3   6   0 |  0   0   0   3   0   2   0  0 |  *  *  *   *  * 80   *  * * |  1  0  0 0 1
. x x . x ♦   8 |   0   4   4   4 |  0   0   0   2   2   0   2  0 |  *  *  *   *  *  * 120  * * |  0  1  0 0 1
. x . o5x ♦  10 |   0   5   0  10 |  0   0   0   0   5   0   0  2 |  *  *  *   *  *  *   * 48 * |  0  0  1 0 1
. . x3o5x ♦  60 |   0   0  60  60 |  0   0   0   0   0  20  30 12 |  *  *  *   *  *  *   *  * 8 |  0  0  0 1 1
----------+-----+-----------------+-------------------------------+-----------------------------+-------------
x4x x3o . ♦  24 |  12  12  24   0 |  3  12   0  12   0   8   0  0 |  3  0  4   0  0  4   0  0 0 | 20  *  * * *
x4x x . x ♦  32 |  16  16  16  16 |  4   8   8   8   8   0   8  0 |  2  2  0   4  0  0   4  0 0 |  * 30  * * *
x4x . o5x ♦  40 |  20  20   0  40 |  5   0  20   0  20   0   0  8 |  0  5  0   0  4  0   0  4 0 |  *  * 12 * *
x . x3o5x ♦ 120 |  60   0 120 120 |  0  60  60   0   0  40  60 24 |  0  0 20  30 12  0   0  0 2 |  *  *  * 4 *
. x x3o5x ♦ 120 |   0  60 120 120 |  0   0   0  60  60  40  60 24 |  0  0  0   0  0 20  30 12 2 |  *  *  * * 4