Acronym tracope
Name triangle-cuboctahedron duoprismatic prism
Circumradius sqrt(19/12) = 1.258306
Confer n,co-dippip  

Incidence matrix according to Dynkin symbol

x x3o o3x4o

. . . . . . | 72 |  1  2   4 |  2  4  1   8  2  2 |  1  8  2  2  4  4  4 1 |  4  4  4 1  2  2 2 | 2 2 2 1
------------+----+-----------+--------------------+------------------------+--------------------+--------
x . . . . . |  2 | 36  *   * |  2  4  0   0  0  0 |  1  8  2  2  0  0  0 0 |  4  4  4 1  0  0 0 | 2 2 2 0
. x . . . . |  2 |  * 72   * |  1  0  1   4  0  0 |  1  4  0  0  4  2  2 0 |  4  2  2 0  2  2 1 | 2 2 1 1
. . . . x . |  2 |  *  * 144 |  0  1  0   2  1  1 |  0  2  1  1  1  2  2 1 |  1  2  2 1  1  1 2 | 1 1 2 1
------------+----+-----------+--------------------+------------------------+--------------------+--------
x x . . . . |  4 |  2  2   0 | 36  *  *   *  *  * |  1  4  0  0  0  0  0 0 |  4  2  2 0  0  0 0 | 2 2 1 0
x . . . x . |  4 |  2  0   2 |  * 72  *   *  *  * |  0  2  1  1  0  0  0 0 |  1  2  2 1  0  0 0 | 1 1 2 0
. x3o . . . |  3 |  0  3   0 |  *  * 24   *  *  * |  1  0  0  0  4  0  0 0 |  4  0  0 0  2  2 0 | 2 2 0 1
. x . . x . |  4 |  0  2   2 |  *  *  * 144  *  * |  0  1  0  0  1  1  1 0 |  1  1  1 0  1  1 1 | 1 1 1 1
. . . o3x . |  3 |  0  0   3 |  *  *  *   * 48  * |  0  0  1  0  0  2  0 1 |  0  2  0 1  1  0 2 | 1 0 2 1
. . . . x4o |  4 |  0  0   4 |  *  *  *   *  * 36 |  0  0  0  1  0  0  2 1 |  0  0  2 1  0  1 2 | 0 1 2 1
------------+----+-----------+--------------------+------------------------+--------------------+--------
x x3o . . .   6 |  3  6   0 |  3  0  2   0  0  0 | 12  *  *  *  *  *  * * |  4  0  0 0  0  0 0 | 2 2 0 0
x x . . x .   8 |  4  4   4 |  2  2  0   2  0  0 |  * 72  *  *  *  *  * * |  1  1  1 0  0  0 0 | 1 1 1 0
x . . o3x .   6 |  3  0   6 |  0  3  0   0  2  0 |  *  * 24  *  *  *  * * |  0  2  0 1  0  0 0 | 1 0 2 0
x . . . x4o   8 |  4  0   8 |  0  4  0   0  0  2 |  *  *  * 18  *  *  * * |  0  0  2 1  0  0 0 | 0 1 2 0
. x3o . x .   6 |  0  6   3 |  0  0  2   3  0  0 |  *  *  *  * 48  *  * * |  1  0  0 0  1  1 0 | 1 1 0 1
. x . o3x .   6 |  0  3   6 |  0  0  0   3  2  0 |  *  *  *  *  * 48  * * |  0  1  0 0  1  0 1 | 1 0 1 1
. x . . x4o   8 |  0  4   8 |  0  0  0   4  0  2 |  *  *  *  *  *  * 36 * |  0  0  1 0  0  1 1 | 0 1 1 1
. . . o3x4o  12 |  0  0  24 |  0  0  0   0  8  6 |  *  *  *  *  *  *  * 6 |  0  0  0 1  0  0 2 | 0 0 2 1
------------+----+-----------+--------------------+------------------------+--------------------+--------
x x3o . x .  12 |  6 12   6 |  6  3  4   6  0  0 |  2  3  0  0  2  0  0 0 | 24  *  * *  *  * * | 1 1 0 0
x x . o3x .  12 |  6  6  12 |  3  6  0   6  4  0 |  0  3  2  0  0  2  0 0 |  * 24  * *  *  * * | 1 0 1 0
x x . . x4o  16 |  8  8  16 |  4  8  0   8  0  4 |  0  4  0  2  0  0  2 0 |  *  * 18 *  *  * * | 0 1 1 0
x . . o3x4o  24 | 12  0  48 |  0 24  0   0 16 12 |  0  0  8  6  0  0  0 2 |  *  *  * 3  *  * * | 0 0 2 0
. x3o o3x .   9 |  0  9   9 |  0  0  3   9  3  0 |  0  0  0  0  3  3  0 0 |  *  *  * * 16  * * | 1 0 0 1
. x3o . x4o  12 |  0 12  12 |  0  0  4  12  0  3 |  0  0  0  0  4  0  3 0 |  *  *  * *  * 12 * | 0 1 0 1
. x . o3x4o  24 |  0 12  48 |  0  0  0  24 16 12 |  0  0  0  0  0  8  6 2 |  *  *  * *  *  * 6 | 0 0 1 1
------------+----+-----------+--------------------+------------------------+--------------------+--------
x x3o o3x .  18 |  9 18  18 |  9  9  6  18  6  0 |  3  9  3  0  6  6  0 0 |  3  3  0 0  2  0 0 | 8 * * *
x x3o . x4o  24 | 12 24  24 | 12 12  8  24  0  6 |  4 12  0  3  8  0  6 0 |  4  0  3 0  0  2 0 | * 6 * *
x x . o3x4o  48 | 24 24  96 | 12 48  0  48 32 24 |  0 24 16 12  0 16 12 4 |  0  8  6 2  0  0 2 | * * 3 *
. x3o o3x4o  36 |  0 36  72 |  0  0 12  72 24 18 |  0  0  0  0 24 24 18 3 |  0  0  0 0  8  6 3 | * * * 2

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