Acronym	pegirco
Name	square great-rhombicuboctahedron duoprism
Circumradius	sqrt[(75+30 sqrt(2)+2 sqrt(5))/20] = 2.468791
Face vector	240, 600, 538, 207, 31
Confer	more general: n,girco-dip   general polytopal classes: Wythoffian polytera
External links

Incidence matrix according to Dynkin symbol

x5o x3x4x

. . . . . | 240 |   2   1   1   1 |  1   2   2   2  1  1  1 |  1  1  1  2  2  2 1 | 1  1 1 2
----------+-----+-----------------+-------------------------+---------------------+---------
x . . . . |   2 | 240   *   *   * |  1   1   1   1  0  0  0 |  1  1  1  1  1  1 0 | 1  1 1 1
. . x . . |   2 |   * 120   *   * |  0   2   0   0  1  1  0 |  1  0  0  2  2  0 1 | 1  1 0 2
. . . x . |   2 |   *   * 120   * |  0   0   2   0  1  0  1 |  0  1  0  2  0  2 1 | 1  0 1 2
. . . . x |   2 |   *   *   * 120 |  0   0   0   2  0  1  1 |  0  0  1  0  2  2 1 | 0  1 1 2
----------+-----+-----------------+-------------------------+---------------------+---------
x5o . . . |   5 |   5   0   0   0 | 48   *   *   *  *  *  * |  1  1  1  0  0  0 0 | 1  1 1 0
x . x . . |   4 |   2   2   0   0 |  * 120   *   *  *  *  * |  1  0  0  1  1  0 0 | 1  1 0 1
x . . x . |   4 |   2   0   2   0 |  *   * 120   *  *  *  * |  0  1  0  1  0  1 0 | 1  0 1 1
x . . . x |   4 |   2   0   0   2 |  *   *   * 120  *  *  * |  0  0  1  0  1  1 0 | 0  1 1 1
. . x3x . |   6 |   0   3   3   0 |  *   *   *   * 40  *  * |  0  0  0  2  0  0 1 | 1  0 0 2
. . x . x |   4 |   0   2   0   2 |  *   *   *   *  * 60  * |  0  0  0  0  2  0 1 | 0  1 0 2
. . . x4x |   8 |   0   0   4   4 |  *   *   *   *  *  * 30 |  0  0  0  0  0  2 1 | 0  0 1 2
----------+-----+-----------------+-------------------------+---------------------+---------
x5o x . . ♦  10 |  10   5   0   0 |  2   5   0   0  0  0  0 | 24  *  *  *  *  * * | 1  1 0 0
x5o . x . ♦  10 |  10   0   5   0 |  2   0   5   0  0  0  0 |  * 24  *  *  *  * * | 1  0 1 0
x5o . . x ♦  10 |  10   0   0   5 |  2   0   0   5  0  0  0 |  *  * 24  *  *  * * | 0  1 1 0
x . x3x . ♦  12 |   6   6   6   0 |  0   3   3   0  2  0  0 |  *  *  * 40  *  * * | 1  0 0 1
x . x . x ♦   8 |   4   4   0   4 |  0   2   0   2  0  2  0 |  *  *  *  * 60  * * | 0  1 0 1
x . . x4x ♦  16 |   8   0   8   8 |  0   0   4   4  0  0  2 |  *  *  *  *  * 30 * | 0  0 1 1
. . x3x4x ♦  48 |   0  24  24  24 |  0   0   0   0  8 12  6 |  *  *  *  *  *  * 5 | 0  0 0 2
----------+-----+-----------------+-------------------------+---------------------+---------
x5o x3x . ♦  30 |  30  15  15   0 |  6  15  15   0  5  0  0 |  3  3  0  5  0  0 0 | 8  * * *
x5o x . x ♦  20 |  20  10   0  10 |  4  10   0  10  0  5  0 |  2  0  2  0  5  0 0 | * 12 * *
x5o . x4x ♦  40 |  40   0  20  20 |  8   0  20  20  0  0  5 |  0  4  4  0  0  5 0 | *  * 6 *
x . x3x4x ♦  96 |  48  48  48  48 |  0  24  24  24 16 24 12 |  0  0  0  8 12  6 2 | *  * * 5

snubbed forms: x5o s3s4s