Acronym traco
Name triangle - cuboctahedron duoprism
Circumradius sqrt(4/3) = 1.154701
Confer n,co-dip  

Incidence matrix according to Dynkin symbol

x3o o3x4o

. . . . . | 36 |  2  4 |  1  8  2  2 |  4  4  4 1 | 2 2 2
----------+----+-------+-------------+------------+------
x . . . . |  2 | 36  * |  1  4  0  0 |  4  2  2 0 | 2 2 1
. . . x . |  2 |  * 72 |  0  2  1  1 |  1  2  2 1 | 1 1 2
----------+----+-------+-------------+------------+------
x3o . . . |  3 |  3  0 | 12  *  *  * |  4  0  0 0 | 2 2 0
x . . x . |  4 |  2  2 |  * 72  *  * |  1  1  1 0 | 1 1 1
. . o3x . |  3 |  0  3 |  *  * 24  * |  0  2  0 1 | 1 0 2
. . . x4o |  4 |  0  4 |  *  *  * 18 |  0  0  2 1 | 0 1 2
----------+----+-------+-------------+------------+------
x3o . x .   6 |  6  3 |  2  3  0  0 | 24  *  * * | 1 1 0
x . o3x .   6 |  3  6 |  0  3  2  0 |  * 24  * * | 1 0 1
x . . x4o   8 |  4  8 |  0  4  0  2 |  *  * 18 * | 0 1 1
. . o3x4o  12 |  0 24 |  0  0  8  6 |  *  *  * 3 | 0 0 2
----------+----+-------+-------------+------------+------
x3o o3x .   9 |  9  9 |  3  9  3  0 |  3  3  0 0 | 8 * *
x3o . x4o  12 | 12 12 |  4 12  0  3 |  4  0  3 0 | * 6 *
x . o3x4o  24 | 12 48 |  0 24 16 12 |  0  8  6 2 | * * 3

x3o x3o3x

. . . . . | 36 |  2  2  2 |  1  4  4  1  2  1 |  2  2  2  4  2 1 | 1 2 1 2
----------+----+----------+-------------------+------------------+--------
x . . . . |  2 | 36  *  * |  1  2  2  0  0  0 |  2  2  1  2  1 0 | 1 2 1 1
. . x . . |  2 |  * 36  * |  0  2  0  1  1  0 |  1  0  2  2  0 1 | 1 1 0 2
. . . . x |  2 |  *  * 36 |  0  0  2  0  1  1 |  0  1  0  2  2 1 | 0 1 1 2
----------+----+----------+-------------------+------------------+--------
x3o . . . |  3 |  3  0  0 | 12  *  *  *  *  * |  2  2  0  0  0 0 | 1 2 1 0
x . x . . |  4 |  2  2  0 |  * 36  *  *  *  * |  1  0  1  1  0 0 | 1 1 0 1
x . . . x |  4 |  2  0  2 |  *  * 36  *  *  * |  0  1  0  1  1 0 | 0 1 1 1
. . x3o . |  3 |  0  3  0 |  *  *  * 12  *  * |  0  0  2  0  0 1 | 1 0 0 2
. . x . x |  4 |  0  2  2 |  *  *  *  * 18  * |  0  0  0  2  0 1 | 0 1 0 2
. . . o3x |  3 |  0  0  3 |  *  *  *  *  * 12 |  0  0  0  0  2 1 | 0 0 1 2
----------+----+----------+-------------------+------------------+--------
x3o x . .   6 |  6  3  0 |  2  3  0  0  0  0 | 12  *  *  *  * * | 1 1 0 0
x3o . . x   6 |  6  0  3 |  2  0  3  0  0  0 |  * 12  *  *  * * | 0 1 1 0
x . x3o .   6 |  3  6  0 |  0  3  0  2  0  0 |  *  * 12  *  * * | 1 0 0 1
x . x . x   8 |  4  4  4 |  0  2  2  0  2  0 |  *  *  * 18  * * | 0 1 0 1
x . . o3x   6 |  3  0  6 |  0  0  3  0  0  2 |  *  *  *  * 12 * | 0 0 1 1
. . x3o3x  12 |  0 12 12 |  0  0  0  4  6  4 |  *  *  *  *  * 3 | 0 0 0 2
----------+----+----------+-------------------+------------------+--------
x3o x3o .   9 |  9  9  0 |  3  9  0  3  0  0 |  3  0  3  0  0 0 | 4 * * *
x3o x . x  12 | 12  6  6 |  4  6  6  0  3  0 |  2  2  0  3  0 0 | * 6 * *
x3o . o3x   9 |  9  0  9 |  3  0  9  0  0  3 |  0  3  0  0  3 0 | * * 4 *
x . x3o3x  24 | 12 24 24 |  0 12 12  8 12  8 |  0  0  4  6  4 2 | * * * 3

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