Acronym ikedip
Name icosahedron-icosahedron duoprism
Circumradius sqrt[5+sqrt(5)]/2 = 1.344997
Confer
general polytopal classes:
noble polytopes  

Incidence matrix according to Dynkin symbol

x3o5o x3o5o

. . . . . . | 144 |   5   5 |   5  25   5 |  1  25  25  1 |  5  25  5 |  5  5
------------+-----+---------+-------------+---------------+-----------+------
x . . . . . |   2 | 360   * |   2   5   0 |  1  10   5  0 |  5  10  1 |  5  2
. . . x . . |   2 |   * 360 |   0   5   2 |  0   5  10  1 |  1  10  5 |  2  5
------------+-----+---------+-------------+---------------+-----------+------
x3o . . . . |   3 |   3   0 | 240   *   * |  1   5   0  0 |  5   5  0 |  5  1
x . . x . . |   4 |   2   2 |   * 900   * |  0   2   2  0 |  1   4  1 |  2  2
. . . x5o . |   3 |   0   3 |   *   * 240 |  0   0   5  1 |  0   5  5 |  1  5
------------+-----+---------+-------------+---------------+-----------+------
x3o5o . . .   12 |  30   0 |  20   0   0 | 12   *   *  * |  5   0  0 |  5  0
x3o . x . .    6 |   6   3 |   2   3   0 |  * 600   *  * |  1   2  0 |  2  1
x . . x3o .    6 |   3   6 |   0   3   2 |  *   * 600  * |  0   2  1 |  1  2
. . . x3o5o   12 |   0  30 |   0   0  20 |  *   *   * 12 |  0   0  5 |  0  5
------------+-----+---------+-------------+---------------+-----------+------
x3o5o x . .   24 |  60  12 |  40  30   0 |  2  20   0  0 | 30   *  * |  2  0
x3o . x3o .    9 |   9   9 |   3   9   3 |  0   3   3  0 |  * 400  * |  1  1
x . . x3o5o   24 |  12  60 |   0  30  40 |  0   0  20  2 |  *   * 30 |  0  2
------------+-----+---------+-------------+---------------+-----------+------
x3o5o x3o .   36 |  90  36 |  60  90  12 |  3  60  30  0 |  3  20  0 | 20  *
x3o . x3o5o   36 |  36  90 |  12  90  60 |  0  30  60  3 |  0  20  3 |  * 20
or
. . . . . .    | 144 |  10 |  10  25 |  1   50 | 10  25 | 10
---------------+-----+-----+---------+---------+--------+---
x . . . . .  & |   2 | 720 |   2   5 |  1   15 |  6  10 |  7
---------------+-----+-----+---------+---------+--------+---
x3o . . . .  & |   3 |   3 | 480   * |  1    5 |  5   5 |  6
x . . x . .    |   4 |   4 |   * 900 |  0    4 |  2   4 |  4
---------------+-----+-----+---------+---------+--------+---
x3o5o . . .  &   12 |  30 |  20   0 | 24    * |  5   0 |  5
x3o . x . .  &    6 |   9 |   2   3 |  * 1200 |  1   2 |  3
---------------+-----+-----+---------+---------+--------+---
x3o5o x . .  &   24 |  72 |  40  30 |  2   20 | 60   * |  2
x3o . x3o .       9 |  18 |   6   9 |  0    6 |  * 400 |  2
---------------+-----+-----+---------+---------+--------+---
x3o5o x3o .  &   36 | 126 |  72  90 |  3   90 |  3  20 | 40

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