Acronym trico
Name triangle - icositetrachoron duoprism
Circumradius sqrt(4/3) = 1.154701
Confer n,ico-dip  

Incidence matrix according to Dynkin symbol

x3o x3o4o3o

. . . . . . | 72 |  2   8 |  1  16  12 |  8  24  6 | 12 12 1 |  6 2
------------+----+--------+------------+-----------+---------+-----
x . . . . . |  2 | 72   * |  1   8   0 |  8  12  0 | 12  6 0 |  6 1
. . x . . . |  2 |  * 288 |  0   2   3 |  1   6  3 |  3  6 1 |  3 2
------------+----+--------+------------+-----------+---------+-----
x3o . . . . |  3 |  3   0 | 24   *   *   8   0  0 | 12  0 0 |  6 0
x . x . . . |  4 |  2   2 |  * 288   * |  1   3  0 |  3  3 0 |  3 1
. . x3o . . |  3 |  0   3 |  *   * 288 |  0   2  2 |  1  4 1 |  2 2
------------+----+--------+------------+-----------+---------+-----
x3o x . . .   6 |  6   3 |  2   3   0 | 96   *  * |  3  0 0 |  3 0
x . x3o . .   6 |  3   6 |  0   3   2 |  * 288  * |  1  2 0 |  2 1
. . x3o4o .   6 |  0  12 |  0   0   8 |  *   * 72 |  0  2 1 |  1 2
------------+----+--------+------------+-----------+---------+-----
x3o x3o . .   9 |  9   9 |  3   9   3 |  3   3  0 | 96  * * |  2 0
x . x3o4o .  12 |  6  24 |  0  12  16 |  0   8  2 |  * 72 * |  1 1
. . x3o4o3o  24 |  0  96 |  0   0  96 |  0   0 24 |  *  * 3 |  0 2
------------+----+--------+------------+-----------+---------+-----
x3o x3o4o .  18 | 18  36 |  6  36  24 | 12  24  3 |  8  3 0 | 24 *
x . x3o4o3o  48 | 24 192 |  0  96 192 |  0  96 48 |  0 24 2 |  * 3

x3o o3x3o4o

. . . . . . | 72 |  2   8 |  1  16  4   8 |  8  8  16  4  2 |  4  8  8  4 1 |  4 2 2
------------+----+--------+---------------+-----------------+---------------+-------
x . . . . . |  2 | 72   * |  1   8  0   0 |  8  4   8  0  0 |  4  8  4  2 0 |  4 2 1
. . . x . . |  2 |  * 288 |  0   2  1   2 |  1  2   4  2  1 |  1  2  4  2 1 |  2 1 2
------------+----+--------+---------------+-----------------+---------------+-------
x3o . . . . |  3 |  3   0 | 24   *  *   *   8  0   0  0  0 |  4  8  0  0 0 |  4 2 0
x . . x . . |  4 |  2   2 |  * 288  *   * |  1  1   2  0  0 |  1  2  2  1 0 |  2 1 1
. . o3x . . |  3 |  0   3 |  *   * 96   * |  0  2   0  2  0 |  1  0  4  0 1 |  2 0 2
. . . x3o . |  3 |  0   3 |  *   *  * 192 |  0  0   2  1  1 |  0  1  2  2 1 |  1 1 2
------------+----+--------+---------------+-----------------+---------------+-------
x3o . x . .   6 |  6   3 |  2   3  0   0 | 96  *   *  *  * |  1  2  0  0 0 |  2 1 0
x . o3x . .   6 |  3   6 |  0   3  2   0 |  * 96   *  *  * |  1  0  2  0 0 |  2 0 1
x . . x3o .   6 |  3   6 |  0   3  0   2 |  *  * 192  *  * |  0  1  1  1 0 |  1 1 1
. . o3x3o .   6 |  0  12 |  0   0  4   4 |  *  *   * 48  * |  0  0  2  0 1 |  1 0 2
. . . x3o4o   6 |  0  12 |  0   0  0   8 |  *  *   *  * 24 |  0  0  0  2 1 |  0 1 2
------------+----+--------+---------------+-----------------+---------------+-------
x3o o3x . .   9 |  9   9 |  3   9  3   0 |  3  3   0  0  0 | 32  *  *  * * |  2 0 0
x3o . x3o .   9 |  9   9 |  3   9  0   3 |  3  0   3  0  0 |  * 64  *  * * |  1 1 0
x . o3x3o .  12 |  6  24 |  0  12  8   8 |  0  4   4  2  0 |  *  * 48  * * |  1 0 1
x . . x3o4o  12 |  6  24 |  0  12  0  16 |  0  0   8  0  2 |  *  *  * 24 * |  0 1 1
. . o3x3o4o  24 |  0  96 |  0   0 32  64 |  0  0   0 16  8 |  *  *  *  * 3 |  0 0 2
------------+----+--------+---------------+-----------------+---------------+-------
x3o o3x3o .  18 | 18  36 |  6  36 12  12 | 12 12  12  3  0 |  4  4  3  0 0 | 16 * *
x3o . x3o4o  18 | 18  36 |  6  36  0  24 | 12  0  24  0  3 |  0  8  0  3 0 |  * 8 *
x . o3x3o4o  48 | 24 192 |  0  96 64 128 |  0 32  64 32 16 |  0  0 16  8 2 |  * * 3

x3o o3x3o *d3o

. . . . .    . | 72 |  2   8 |  1  16  4  4  4 |  8  8  8  8  2  2  2 |  4  4  4  4  4  4 1 | 2 2 2 2
---------------+----+--------+-----------------+----------------------+---------------------+--------
x . . . .    . |  2 | 72   * |  1   8  0  0  0 |  8  4  4  4  0  0  0 |  4  4  4  2  2  2 0 | 2 2 2 1
. . . x .    . |  2 |  * 288 |  0   2  1  1  1 |  1  2  2  2  1  1  1 |  1  1  1  2  2  2 1 | 1 1 1 2
---------------+----+--------+-----------------+----------------------+---------------------+--------
x3o . . .    . |  3 |  3   0 | 24   *  *  *  *   8  0  0  0  0  0  0 |  4  4  4  0  0  0 0 | 2 2 2 0
x . . x .    . |  4 |  2   2 |  * 288  *  *  * |  1  1  1  1  0  0  0 |  1  1  1  1  1  1 0 | 1 1 1 1
. . o3x .    . |  3 |  0   3 |  *   * 96  *  * |  0  2  0  0  1  1  0 |  1  0  0  2  2  0 1 | 1 1 0 2
. . . x3o    . |  3 |  0   3 |  *   *  * 96  * |  0  0  2  0  1  0  1 |  0  1  0  2  0  2 1 | 1 0 1 2
. . . x . *d3o |  3 |  0   3 |  *   *  *  * 96 |  0  0  0  2  0  1  1 |  0  0  1  0  2  2 1 | 0 1 1 2
---------------+----+--------+-----------------+----------------------+---------------------+--------
x3o . x .    .   6 |  6   3 |  2   3  0  0  0 | 96  *  *  *  *  *  * |  1  1  1  0  0  0 0 | 1 1 1 0
x . o3x .    .   6 |  3   6 |  0   3  2  0  0 |  * 96  *  *  *  *  * |  1  0  0  1  1  0 0 | 1 1 0 1
x . . x3o    .   6 |  3   6 |  0   3  0  2  0 |  *  * 96  *  *  *  * |  0  1  0  1  0  1 0 | 1 0 1 1
x . . x . *d3o   6 |  3   6 |  0   3  0  0  2 |  *  *  * 96  *  *  * |  0  0  1  0  1  1 0 | 0 1 1 1
. . o3x3o    .   6 |  0  12 |  0   0  4  4  0 |  *  *  *  * 24  *  * |  0  0  0  2  0  0 1 | 1 0 0 2
. . o3x . *d3o   6 |  0  12 |  0   0  4  0  4 |  *  *  *  *  * 24  * |  0  0  0  0  2  0 1 | 0 1 0 2
. . . x3o *d3o   6 |  0  12 |  0   0  0  4  4 |  *  *  *  *  *  * 24 |  0  0  0  0  0  2 1 | 0 0 1 2
---------------+----+--------+-----------------+----------------------+---------------------+--------
x3o o3x .    .   9 |  9   9 |  3   9  3  0  0 |  3  3  0  0  0  0  0 | 32  *  *  *  *  * * | 1 1 0 0
x3o . x3o    .   9 |  9   9 |  3   9  0  3  0 |  3  0  3  0  0  0  0 |  * 32  *  *  *  * * | 1 0 1 0
x3o . x . *d3o   9 |  9   9 |  3   9  0  0  3 |  3  0  0  3  0  0  0 |  *  * 32  *  *  * * | 0 1 1 0
x . o3x3o    .  12 |  6  24 |  0  12  8  8  0 |  0  4  4  0  2  0  0 |  *  *  * 24  *  * * | 1 0 0 1
x . o3x . *d3o  12 |  6  24 |  0  12  8  0  8 |  0  4  0  4  0  2  0 |  *  *  *  * 24  * * | 0 1 0 1
x . . x3o *d3o  12 |  6  24 |  0  12  0  8  8 |  0  0  4  4  0  0  2 |  *  *  *  *  * 24 * | 0 0 1 1
. . o3x3o *d3o  24 |  0  96 |  0   0 32 32 32 |  0  0  0  0  8  8  8 |  *  *  *  *  *  * 3 | 0 0 0 2
---------------+----+--------+-----------------+----------------------+---------------------+--------
x3o o3x3o    .  18 | 18  36 |  6  36 12 12  0 | 12 12 12  0  3  0  0 |  4  4  0  3  0  0 0 | 8 * * *
x3o o3x . *d3o  18 | 18  36 |  6  36 12  0 12 | 12 12  0 12  0  3  0 |  4  0  4  0  3  0 0 | * 8 * *
x3o . x3o *d3o  18 | 18  36 |  6  36  0 12 12 | 12  0 12 12  0  0  3 |  0  4  4  0  0  3 0 | * * 8 *
x . o3x3o *d3o  48 | 24 192 |  0  96 64 64 64 |  0 32 32 32 16 16 16 |  0  0  0  8  8  8 2 | * * * 3

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