Acronym	pesnic
Name	pentagon - snub-cube duoprism
Circumradius	sqrt[(80+6 sqrt(5)+5 cbrt[199+3 sqrt(33)]+5 cbrt[199-3 sqrt(33)])/60] = 1.590337
Face vector	120, 420, 514, 255, 43
Confer	general polytopal classes: segmentotera
External links

Incidence matrix according to Dynkin symbol

x5o s3s4s

. . demi( . . . ) | 120 |   2  1   2   2 |  1  2  1  1   4   4   3 |  1  2  2 1  2  2   6 | 1 1 2  3
------------------+-----+----------------+-------------------------+----------------------+---------
x . demi( . . . ) |   2 | 120  *   *   * |  1  1  0  0   2   2   0 |  1  1  1 0  2  2   3 | 1 1 1  3
. .       s 2 s   |   2 |   * 60   *   * |  0  2  0  0   0   0   2 |  1  0  0 1  0  0   4 | 0 0 2  2
. . sefa( s3s . ) |   2 |   *  * 120   * |  0  0  1  0   2   0   1 |  0  2  0 1  1  0   2 | 1 0 2  1
. . sefa( . s4s ) |   2 |   *  *   * 120 |  0  0  0  1   0   2   1 |  0  0  2 1  0  1   2 | 0 1 2  1
------------------+-----+----------------+-------------------------+----------------------+---------
x5o demi( . . . ) |   5 |   5  0   0   0 | 24  *  *  *   *   *   * |  1  0  0 0  2  2   0 | 1 1 0  3
x .       s 2 s   |   4 |   2  2   0   0 |  * 60  *  *   *   *   * |  1  0  0 0  0  0   2 | 0 0 1  2
. .       s3s .   ♦   3 |   0  0   3   0 |  *  * 40  *   *   *   * |  0  2  0 1  0  0   0 | 1 0 2  0
. .       . s4s   ♦   4 |   0  0   0   4 |  *  *  * 30   *   *   * |  0  0  2 1  0  0   0 | 0 1 2  0
x . sefa( s3s . ) |   4 |   2  0   2   0 |  *  *  *  * 120   *   * |  0  1  0 0  1  0   1 | 1 0 1  1
x . sefa( . s4s ) |   4 |   2  0   0   2 |  *  *  *  *   * 120   * |  0  0  1 0  0  1   1 | 0 1 1  1
. . sefa( s3s4s ) |   3 |   0  1   1   1 |  *  *  *  *   *   * 120 |  0  0  0 1  0  0   2 | 0 0 2  1
------------------+-----+----------------+-------------------------+----------------------+---------
x5o       s 2 s   ♦  10 |  10  5   0   0 |  2  5  0  0   0   0   0 | 12  *  * *  *  *   * | 0 0 0  2
x .       s3s .   ♦   6 |   3  0   6   0 |  0  0  2  0   3   0   0 |  * 40  * *  *  *   * | 1 0 1  0
x .       . s4s   ♦   8 |   4  0   0   8 |  0  0  0  2   0   4   0 |  *  * 30 *  *  *   * | 0 1 1  0
. .       s3s4s   ♦  24 |   0 12  24  24 |  0  0  8  6   0   0  24 |  *  *  * 5  *  *   * | 0 0 2  0
x5o sefa( s3s . ) ♦  10 |  10  0   5   0 |  2  0  0  0   5   0   0 |  *  *  * * 24  *   * | 1 0 0  1
x5o sefa( . s4s ) ♦  10 |  10  0   0   5 |  2  0  0  0   0   5   0 |  *  *  * *  * 24   * | 0 1 0  1
x . sefa( s3s4s ) ♦   6 |   3  2   2   2 |  0  1  0  0   1   1   2 |  *  *  * *  *  * 120 | 0 0 1  1
------------------+-----+----------------+-------------------------+----------------------+---------
x5o       s3s .   ♦  15 |  15  0  15   0 |  3  0  5  0  15   0   0 |  0  5  0 0  3  0   0 | 8 * *  *
x5o       . s4s   ♦  20 |  20  0   0  20 |  4  0  0  5   0  20   0 |  0  0  5 0  0  4   0 | * 6 *  *
x .       s3s4s   ♦  48 |  24 24  48  48 |  0 12 16 12  24  24  48 |  0  8  6 2  0  0  24 | * * 5  *
x5o sefa( s3s4s ) ♦  15 |  15  5   5   5 |  3  5  0  0   5   5   5 |  1  0  0 0  1  1   5 | * * * 24

starting figure: x5o x3x4x