| Acronym | trarix | 
| Name | triangle-rix duoprism | 
| Circumradius | 1 | 
| Face vector | 45, 225, 435, 435, 251, 84, 15 | 
| Confer | 
 | 
Incidence matrix according to Dynkin symbol
x3o o3x3o3o3o o3o o3o3o3o3o | 45 | 2 8 | 1 16 4 12 | 8 8 24 6 8 | 4 12 12 16 4 2 | 6 8 8 4 1 | 4 2 2 --------------+----+--------+---------------+-----------------+-------------------+---------------+------ x . . . . . . | 2 | 45 * | 1 8 0 0 | 8 4 12 0 0 | 4 12 6 8 0 0 | 6 8 4 2 0 | 4 2 1 . . . x . . . | 2 | * 180 | 0 2 1 3 | 1 2 6 3 3 | 1 3 6 6 3 1 | 3 3 6 2 1 | 3 1 2 --------------+----+--------+---------------+-----------------+-------------------+---------------+------ x3o . . . . . | 3 | 3 0 | 15 * * * ♦ 8 0 0 0 0 | 4 12 0 0 0 0 | 6 8 0 0 0 | 4 2 0 x . . x . . . | 4 | 2 2 | * 180 * * | 1 1 3 0 0 | 1 3 3 3 0 0 | 3 3 3 1 0 | 3 1 1 . . o3x . . . | 3 | 0 3 | * * 60 * | 0 2 0 3 0 | 1 0 6 0 3 0 | 3 0 6 0 1 | 3 0 2 . . . x3o . . | 3 | 0 3 | * * * 180 | 0 0 2 1 2 | 0 1 2 4 2 1 | 1 2 4 2 1 | 2 1 2 --------------+----+--------+---------------+-----------------+-------------------+---------------+------ x3o . x . . . ♦ 6 | 6 3 | 2 3 0 0 | 60 * * * * | 1 3 0 0 0 0 | 3 3 0 0 0 | 3 1 0 x . o3x . . . ♦ 6 | 3 6 | 0 3 2 0 | * 60 * * * | 1 0 3 0 0 0 | 3 0 3 0 0 | 3 0 1 x . . x3o . . ♦ 6 | 3 6 | 0 3 0 2 | * * 180 * * | 0 1 1 2 0 0 | 1 2 2 1 0 | 2 1 1 . . o3x3o . . ♦ 6 | 0 12 | 0 0 4 4 | * * * 45 * | 0 0 2 0 2 0 | 1 0 4 0 1 | 2 0 2 . . . x3o3o . ♦ 4 | 0 6 | 0 0 0 4 | * * * * 90 | 0 0 0 2 1 1 | 0 1 2 2 1 | 1 1 2 --------------+----+--------+---------------+-----------------+-------------------+---------------+------ x3o o3x . . . ♦ 9 | 9 9 | 3 9 3 0 | 3 3 0 0 0 | 20 * * * * * | 3 0 0 0 0 | 3 0 0 x3o . x3o . . ♦ 9 | 9 9 | 3 9 0 3 | 3 0 3 0 0 | * 60 * * * * | 1 2 0 0 0 | 2 1 0 x . o3x3o . . ♦ 12 | 6 24 | 0 12 8 8 | 0 4 4 2 0 | * * 45 * * * | 1 0 2 0 0 | 2 0 1 x . . x3o3o . ♦ 8 | 4 12 | 0 6 0 8 | 0 0 4 0 2 | * * * 90 * * | 0 1 1 1 0 | 1 1 1 . . o3x3o3o . ♦ 10 | 0 30 | 0 0 10 20 | 0 0 0 5 5 | * * * * 18 * | 0 0 2 0 1 | 1 0 2 . . . x3o3o3o ♦ 5 | 0 10 | 0 0 0 10 | 0 0 0 0 5 | * * * * * 18 | 0 0 0 2 1 | 0 1 2 --------------+----+--------+---------------+-----------------+-------------------+---------------+------ x3o o3x3o . . ♦ 18 | 18 36 | 6 36 12 12 | 12 12 12 3 0 | 4 4 3 0 0 0 | 15 * * * * | 2 0 0 x3o . x3o3o . ♦ 12 | 12 18 | 4 18 0 12 | 6 0 12 0 3 | 0 4 0 3 0 0 | * 30 * * * | 1 1 0 x . o3x3o3o . ♦ 20 | 10 60 | 0 30 20 40 | 0 10 20 10 10 | 0 0 5 5 2 0 | * * 18 * * | 1 0 1 x . . x3o3o3o ♦ 10 | 5 20 | 0 10 0 20 | 0 0 10 0 10 | 0 0 0 5 0 2 | * * * 18 * | 0 1 1 . . o3x3o3o3o ♦ 15 | 0 60 | 0 0 20 60 | 0 0 0 15 30 | 0 0 0 0 6 6 | * * * * 3 | 0 0 2 --------------+----+--------+---------------+-----------------+-------------------+---------------+------ x3o o3x3o3o . ♦ 30 | 30 90 | 10 90 30 60 | 30 30 60 15 15 | 10 20 15 15 3 0 | 5 5 3 0 0 | 6 * * x3o . x3o3o3o ♦ 15 | 15 30 | 5 30 0 30 | 10 0 30 0 15 | 0 10 0 15 0 3 | 0 5 0 3 0 | * 6 * x . o3x3o3o3o ♦ 30 | 15 120 | 0 60 40 120 | 0 20 60 30 60 | 0 0 15 30 12 12 | 0 0 6 6 2 | * * 3
ox oo3xx3oo3oo3oo&#x   → height = sqrt(3)/2 = 0.866025
(rix || rixip)
o. o.3o.3o.3o.3o.    | 15  * |  8  2  0   0 |  4 12  1  16  0  0   0 |  6  8  8  8  24  0  0  0  0 | 4 2  4 12 12 16  0  0  0  0 | 1  6  8  8  4 0 0 0 | 4 2 2 0
.o .o3.o3.o3.o3.o    |  * 30 |  0  1  1   8 |  0  0  1   8  8  4  12 |  0  0  8  4  12  4 12  6  8 | 0 0  4 12  6  8  6  8  4  2 | 0  6  8  4  2 4 2 1 | 4 2 1 1
---------------------+-------+--------------+------------------------+-----------------------------+-----------------------------+---------------------+--------
.. .. x. .. .. ..    |  2  0 | 60  *  *   * |  1  3  0   2  0  0   0 |  3  3  1  2   6  0  0  0  0 | 3 1  1  3  6  6  0  0  0  0 | 1  3  3  6  2 0 0 0 | 3 1 2 0
oo oo3oo3oo3oo3oo&#x |  1  1 |  * 30  *   * |  0  0  1   8  0  0   0 |  0  0  8  4  12  0  0  0  0 | 0 0  4 12  6  8  0  0  0  0 | 0  6  8  4  2 0 0 0 | 4 2 1 0
.x .. .. .. .. ..    |  0  2 |  *  * 15   * |  0  0  1   0  8  0   0 |  0  0  8  0   0  4 12  0  0 | 0 0  4 12  0  0  6  8  0  0 | 0  6  8  0  0 4 2 0 | 4 2 0 1
.. .. .x .. .. ..    |  0  2 |  *  *  * 120 |  0  0  0   1  1  1   3 |  0  0  1  1   3  1  3  3  3 | 0 0  1  3  3  3  3  3  3  1 | 0  3  3  3  1 3 1 1 | 3 1 1 1
---------------------+-------+--------------+------------------------+-----------------------------+-----------------------------+---------------------+--------
.. o.3x. .. .. ..    |  3  0 |  3  0  0   0 | 20  *  *   *  *  *   * |  3  0  0  2   0  0  0  0  0 | 3 0  1  0  6  0  0  0  0  0 | 1  3  0  6  0 0 0 0 | 3 0 2 0
.. .. x.3o. .. ..    |  3  0 |  3  0  0   0 |  * 60  *   *  *  *   * |  1  2  0  0   2  0  0  0  0 | 2 1  0  1  2  4  0  0  0  0 | 1  1  2  4  2 0 0 0 | 2 1 2 0
ox .. .. .. .. ..&#x |  1  2 |  0  2  1   0 |  *  * 15   *  *  *   * ♦  0  0  8  0   0  0  0  0  0 | 0 0  4 12  0  0  0  0  0  0 | 0  6  8  0  0 0 0 0 | 4 2 0 0
.. .. xx .. .. ..&#x |  2  2 |  1  2  0   1 |  *  *  * 120  *  *   * |  0  0  1  1   3  0  0  0  0 | 0 0  1  3  3  3  0  0  0  0 | 0  3  3  3  1 0 0 0 | 3 1 1 0
.x .. .x .. .. ..    |  0  4 |  0  0  2   2 |  *  *  *   * 60  *   * |  0  0  1  0   0  1  3  0  0 | 0 0  1  3  0  0  3  3  0  0 | 0  3  3  0  0 3 1 0 | 3 1 0 1
.. .o3.x .. .. ..    |  0  3 |  0  0  0   3 |  *  *  *   *  * 40   * |  0  0  0  1   0  1  0  3  0 | 0 0  1  0  3  0  3  0  3  0 | 0  3  0  3  0 3 0 1 | 3 0 1 1
.. .. .x3.o .. ..    |  0  3 |  0  0  0   3 |  *  *  *   *  *  * 120 |  0  0  0  0   1  0  1  1  2 | 0 0  0  1  1  2  1  2  2  1 | 0  1  2  2  1 2 1 1 | 2 1 1 1
---------------------+-------+--------------+------------------------+-----------------------------+-----------------------------+---------------------+--------
.. o.3x.3o. .. ..    ♦  6  0 | 12  0  0   0 |  4  4  0   0  0  0   0 | 15  *  *  *   *  *  *  *  * | 2 0  0  0  2  0  0  0  0  0 | 1  1  0  4  0 0 0 0 | 2 0 2 0
.. .. x.3o.3o. ..    ♦  4  0 |  6  0  0   0 |  0  4  0   0  0  0   0 |  * 30  *  *   *  *  *  *  * | 1 1  0  0  0  2  0  0  0  0 | 1  0  1  2  2 0 0 0 | 1 1 2 0
ox .. xx .. .. ..&#x ♦  2  4 |  1  4  2   2 |  0  0  2   2  1  0   0 |  *  * 60  *   *  *  *  *  * | 0 0  1  3  0  0  0  0  0  0 | 0  3  3  0  0 0 0 0 | 3 1 0 0
.. oo3xx .. .. ..&#x ♦  3  3 |  3  3  0   3 |  1  0  0   3  0  1   0 |  *  *  * 40   *  *  *  *  * | 0 0  1  0  3  0  0  0  0  0 | 0  3  0  3  0 0 0 0 | 3 0 1 0
.. .. xx3oo .. ..&#x ♦  3  3 |  3  3  0   3 |  0  1  0   3  0  0   1 |  *  *  *  * 120  *  *  *  * | 0 0  0  1  1  2  0  0  0  0 | 0  1  2  2  1 0 0 0 | 2 1 1 0
.x .o3.x .. .. ..    ♦  0  6 |  0  0  3   6 |  0  0  0   0  3  2   0 |  *  *  *  *   * 20  *  *  * | 0 0  1  0  0  0  3  0  0  0 | 0  3  0  0  0 3 0 0 | 3 0 0 1
.x .. .x3.o .. ..    ♦  0  6 |  0  0  3   6 |  0  0  0   0  3  0   2 |  *  *  *  *   *  * 60  *  * | 0 0  0  1  0  0  1  2  0  0 | 0  1  2  0  0 2 1 0 | 2 1 0 1
.. .o3.x3.o .. ..    ♦  0  6 |  0  0  0  12 |  0  0  0   0  0  4   4 |  *  *  *  *   *  *  * 30  * | 0 0  0  0  1  0  1  0  2  0 | 0  1  0  2  0 2 0 1 | 2 0 1 1
.. .. .x3.o3.o ..    ♦  0  4 |  0  0  0   6 |  0  0  0   0  0  0   4 |  *  *  *  *   *  *  *  * 60 | 0 0  0  0  0  1  0  1  1  1 | 0  0  1  1  1 1 1 1 | 1 1 1 1
---------------------+-------+--------------+------------------------+-----------------------------+-----------------------------+---------------------+--------
.. o.3x.3o.3o. ..    ♦ 10  0 | 30  0  0   0 | 10 20  0   0  0  0   0 |  5  5  0  0   0  0  0  0  0 | 6 *  *  *  *  *  *  *  *  * | 1  0  0  2  0 0 0 0 | 1 0 2 0
.. .. x.3o.3o.3o.    ♦  5  0 | 10  0  0   0 |  0 10  0   0  0  0   0 |  0  5  0  0   0  0  0  0  0 | * 6  *  *  *  *  *  *  *  * | 1  0  0  0  2 0 0 0 | 0 1 2 0
ox oo3xx .. .. ..&#x ♦  3  6 |  3  6  3   6 |  1  0  3   6  3  2   0 |  0  0  3  2   0  1  0  0  0 | * * 20  *  *  *  *  *  *  * | 0  3  0  0  0 0 0 0 | 3 0 0 0
ox .. xx3oo .. ..&#x ♦  3  6 |  3  6  3   6 |  0  1  3   6  3  0   2 |  0  0  3  0   2  0  1  0  0 | * *  * 60  *  *  *  *  *  * | 0  1  2  0  0 0 0 0 | 2 1 0 0
.. oo3xx3oo .. ..&#x ♦  6  6 | 12  6  0  12 |  4  4  0  12  0  4   4 |  1  0  0  4   4  0  0  1  0 | * *  *  * 30  *  *  *  *  * | 0  1  0  2  0 0 0 0 | 2 0 1 0
.. .. xx3oo3oo ..&#x ♦  4  4 |  6  4  0   6 |  0  4  0   6  0  0   4 |  0  1  0  0   4  0  0  0  1 | * *  *  *  * 60  *  *  *  * | 0  0  1  1  1 0 0 0 | 1 1 1 0
.x .o3.x3.o .. ..    ♦  0 12 |  0  0  6  24 |  0  0  0   0 12  8   8 |  0  0  0  0   0  4  4  2  0 | * *  *  *  *  * 15  *  *  * | 0  1  0  0  0 2 0 0 | 2 0 0 1
.x .. .x3.o3.o ..    ♦  0  8 |  0  0  4  12 |  0  0  0   0  6  0   8 |  0  0  0  0   0  0  4  0  2 | * *  *  *  *  *  * 30  *  * | 0  0  1  0  0 1 1 0 | 1 1 0 1
.. .o3.x3.o3.o ..    ♦  0 10 |  0  0  0  30 |  0  0  0   0  0 10  20 |  0  0  0  0   0  0  0  5  5 | * *  *  *  *  *  *  * 12  * | 0  0  0  1  0 1 0 1 | 1 0 1 1
.. .. .x3.o3.o3.o    ♦  0  5 |  0  0  0  10 |  0  0  0   0  0  0  10 |  0  0  0  0   0  0  0  0  5 | * *  *  *  *  *  *  *  * 12 | 0  0  0  0  1 0 1 1 | 0 1 1 1
---------------------+-------+--------------+------------------------+-----------------------------+-----------------------------+---------------------+--------
.. o.3x.3o.3o.3o.    ♦ 15  0 | 60  0  0   0 | 20 60  0   0  0  0   0 | 15 30  0  0   0  0  0  0  0 | 6 6  0  0  0  0  0  0  0  0 | 1  *  *  *  * * * * | 0 0 2 0
ox oo3xx3oo .. ..&#x ♦  6 12 | 12 12  6  24 |  4  4  6  24 12  8   8 |  1  0 12  8   8  4  4  2  0 | 0 0  4  4  2  0  1  0  0  0 | * 15  *  *  * * * * | 2 0 0 0
ox .. xx3oo3oo ..&#x ♦  4  8 |  6  8  4  12 |  0  4  4  12  6  0   8 |  0  1  6  0   8  0  4  0  2 | 0 0  0  4  0  2  0  1  0  0 | *  * 30  *  * * * * | 1 1 0 0
.. oo3xx3oo3oo ..&#x ♦ 10 10 | 30 10  0  30 | 10 20  0  30  0 10  20 |  5  5  0 10  20  0  0  5  5 | 1 0  0  0  5  5  0  0  1  0 | *  *  * 12  * * * * | 1 0 1 0
.. .. xx3oo3oo3oo&#x ♦  5  5 | 10  5  0  10 |  0 10  0  10  0  0  10 |  0  5  0  0  10  0  0  0  5 | 0 1  0  0  0  5  0  0  0  1 | *  *  *  * 12 * * * | 0 1 1 0
.x .o3.x3.o3.o ..    ♦  0 20 |  0  0 10  60 |  0  0  0   0 30 20  40 |  0  0  0  0   0 10 20 10 10 | 0 0  0  0  0  0  5  5  2  0 | *  *  *  *  * 6 * * | 1 0 0 1
.x .. .x3.o3.o3.o    ♦  0 10 |  0  0  5  20 |  0  0  0   0 10  0  20 |  0  0  0  0   0  0 10  0 10 | 0 0  0  0  0  0  0  5  0  2 | *  *  *  *  * * 6 * | 0 1 0 1
.. .o3.x3.o3.o3.o    ♦  0 15 |  0  0  0  60 |  0  0  0   0  0 20  60 |  0  0  0  0   0  0  0 15 30 | 0 0  0  0  0  0  0  0  6  6 | *  *  *  *  * * * 2 | 0 0 1 1
---------------------+-------+--------------+------------------------+-----------------------------+-----------------------------+---------------------+--------
ox oo3xx3oo3oo ..&#x ♦ 10 20 | 30 20 10  60 | 10 20 10  60 30 20  40 |  5  5 30 20  40 10 20 10 10 | 1 0 10 20 10 10  5  5  2  0 | 0  5  5  2  0 1 0 0 | 6 * * *
ox .. xx3oo3oo3oo&#x ♦  5 10 | 10 10  5  20 |  0 10  5  20 10  0  20 |  0  5 10  0  20  0 10  0 10 | 0 1  0 10  0 10  0  5  0  2 | 0  0  5  0  2 0 1 0 | * 6 * *
.. oo3xx3oo3oo3oo&#x ♦ 15 15 | 60 15  0  60 | 20 60  0  60  0 20  60 | 15 30  0 20  60  0  0 15 30 | 6 6  0  0 15 30  0  0  6  6 | 1  0  0  6  6 0 0 1 | * * 2 *
.x .o3.x3.o3.o3.o    ♦  0 30 |  0  0 15 120 |  0  0  0   0 60 40 120 |  0  0  0  0   0 20 60 30 60 | 0 0  0  0  0  0 15 30 12 12 | 0  0  0  0  0 6 6 2 | * * * 1
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