Acronym	pike
Name	pentagon-icosahedron duoprism
Circumradius	sqrt[(45+9 sqrt(5))/40] = 1.275976
Face vector	60, 210, 262, 135, 25
Confer	n,ike-dip
External links

Incidence matrix according to Dynkin symbol

x5o x3o5o

. . . . . | 60 |  2   5 |  1  10   5 |  5  10 1 |  5 2
----------+----+--------+------------+----------+-----
x . . . . |  2 | 60   * |  1   5   0 |  5   5 0 |  5 1
. . x . . |  2 |  * 150 |  0   2   2 |  1   4 1 |  2 2
----------+----+--------+------------+----------+-----
x5o . . . |  5 |  5   0 | 12   *   * |  5   0 0 |  5 0
x . x . . |  4 |  2   2 |  * 150   * |  1   2 0 |  2 1
. . x3o . |  3 |  0   3 |  *   * 100 |  0   2 1 |  1 2
----------+----+--------+------------+----------+-----
x5o x . . ♦ 10 | 10   5 |  2   5   0 | 30   * * |  2 0
x . x3o . ♦  6 |  3   6 |  0   3   2 |  * 100 * |  1 1
. . x3o5o ♦ 12 |  0  30 |  0   0  20 |  *   * 5 |  0 2
----------+----+--------+------------+----------+-----
x5o x3o . ♦ 15 | 15  15 |  3  15   5 |  3   5 0 | 20 *
x . x3o5o ♦ 24 | 12  60 |  0  30  40 |  0  20 2 |  * 5