Acronym oike
Name octagon-icosahedron duoprism
Circumradius sqrt[(9+4 sqrt(2)+sqrt(5))/8] = 1.453140
Confer n,ike-dip  

Incidence matrix according to Dynkin symbol

x8o x3o5o

. . . . . | 96 |  2   5 |  1  10   5 |  5  10 1 |  5 2
----------+----+--------+------------+----------+-----
x . . . . |  2 | 96   * |  1   5   0 |  5   5 0 |  5 1
. . x . . |  2 |  * 240 |  0   2   2 |  1   4 1 |  2 2
----------+----+--------+------------+----------+-----
x8o . . . |  8 |  8   0 | 12   *   * |  5   0 0 |  5 0
x . x . . |  4 |  2   2 |  * 240   * |  1   2 0 |  2 1
. . x3o . |  3 |  0   3 |  *   * 160 |  0   2 1 |  1 2
----------+----+--------+------------+----------+-----
x8o x . .  16 | 16   8 |  2   8   0 | 30   * * |  2 0
x . x3o .   6 |  3   6 |  0   3   2 |  * 160 * |  1 1
. . x3o5o  12 |  0  30 |  0   0  20 |  *   * 8 |  0 2
----------+----+--------+------------+----------+-----
x8o x3o .  24 | 24  24 |  3  24   8 |  3   8 0 | 20 *
x . x3o5o  24 | 12  60 |  0  30  40 |  0  20 2 |  * 8

x4x x3o5o

. . . . . | 96 |  1  1   5 |  1   5   5   5 |  5  5  5 1 |  5 1 1
----------+----+-----------+----------------+------------+-------
x . . . . |  2 | 48  *   * |  1   5   0   0 |  5  5  0 0 |  5 1 0
. x . . . |  2 |  * 48   * |  1   0   5   0 |  5  0  5 0 |  5 0 1
. . x . . |  2 |  *  * 240 |  0   1   1   2 |  1  2  2 1 |  2 1 1
----------+----+-----------+----------------+------------+-------
x4x . . . |  8 |  4  4   0 | 12   *   *   * |  5  0  0 0 |  5 0 0
x . x . . |  4 |  2  0   2 |  * 120   *   * |  1  2  0 0 |  2 1 0
. x x . . |  4 |  0  2   2 |  *   * 120   * |  1  0  2 0 |  2 0 1
. . x3o . |  3 |  0  0   3 |  *   *   * 160 |  0  1  1 1 |  1 1 1
----------+----+-----------+----------------+------------+-------
x4x x . .  16 |  8  8   8 |  2   4   4   0 | 30  *  * * |  2 0 0
x . x3o .   6 |  3  0   6 |  0   3   0   2 |  * 80  * * |  1 1 0
. x x3o .   6 |  0  3   6 |  0   0   3   2 |  *  * 80 * |  1 0 1
. . x3o5o  12 |  0  0  30 |  0   0   0  20 |  *  *  * 8 |  0 1 1
----------+----+-----------+----------------+------------+-------
x4x x3o .  24 | 12 12  24 |  3  12  12   8 |  3  4  4 0 | 20 * *
x . x3o5o  24 | 12  0  60 |  0  30   0  40 |  0 20  0 2 |  * 4 *
. x x3o5o  24 |  0 12  60 |  0   0  30  40 |  0  0 20 2 |  * * 4

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