Acronym lawx
Name ???-sphenary hexateron
Circumradius sqrt(5/3) = 1.290994
General of army sarx
Colonel of regiment sarx

Incidence matrix

60 |   6  2 |   6  6  6 |  2  6  6  3 |  2 2 3
---+--------+-----------+-------------+-------
 2 | 180  * |   2  1  1 |  1  2  2  1 |  1 1 2
 2 |   * 60 |   0  3  3 |  0  3  3  3 |  1 1 3
---+--------+-----------+-------------+-------
 3 |   3  0 | 120  *  * |  1  1  1  0 |  1 1 1
 4 |   2  2 |   * 90  * |  0  2  0  1 |  1 0 2
 6 |   3  3 |   *  * 60 |  0  0  2  1 |  0 1 2
---+--------+-----------+-------------+-------
 4 |   6  0 |   4  0  0 | 30  *  *  * |  1 1 0  tet
 6 |   6  3 |   2  3  0 |  * 60  *  * |  1 0 1  trip
12 |  12  6 |   4  0  4 |  *  * 30  * |  0 1 1  tut
12 |  12 12 |   0  6  4 |  *  *  * 15 |  0 0 2  cho
---+--------+-----------+-------------+-------
 8 |  12  4 |   8  6  0 |  2  4  0  0 | 15 * *  tepe
20 |  30 10 |  20  0 10 |  5  0  5  0 |  * 6 *  tip
30 |  60 30 |  20 30 20 |  0 10  5  5 |  * * 6  sirdop

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