| Acronym | troctpy |
| Name | troct pyramid, vertex pyramid ofbrag |
| Circumradius | sqrt(3/2) = 1.224745 |
| Face vector | 19, 72, 120, 105, 50, 12 |
| Confer |
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Incidence matrix according toDynkin symbol
ox3oo ox3oo4oo&#x → height = 1/sqrt(6) = 0.408248o.3o. o.3o.4o. |1 *♦ 18 0 0 | 18 36 0 0 0 | 6 36 24 0 0 0 | 12 24 3 0 0 | 8 3 0.o3.o .o3.o4.o | * 18 | 1 2 4 | 2 4 1 8 4 | 1 8 4 4 8 1 | 4 8 1 4 2 | 4 2 1------------------+------+----------+---------------+-----------------+-------------+------oo3oo oo3oo4oo&#x | 1 1 | 18 * * | 2 4 0 0 0 | 1 8 4 0 0 0 | 4 8 1 0 0 | 4 2 0.x .. .. .. .. | 0 2 | * 18 * | 1 0 1 4 0 | 1 4 0 4 4 0 | 4 4 0 4 1 | 4 1 1.. .. .x .. .. | 0 2 | * * 36 | 0 1 0 2 2 | 0 2 2 1 4 1 | 1 4 1 2 2 | 2 2 1------------------+------+----------+---------------+-----------------+-------------+------ox .. .. .. ..&#x | 1 2 | 2 1 0 | 18 * * * * | 1 4 0 0 0 0 | 4 4 0 0 0 | 4 1 0.. .. ox .. ..&#x | 1 2 | 2 0 1 | * 36 * * * | 0 2 2 0 0 0 | 1 4 1 0 0 | 2 2 0.x3.o .. .. .. | 0 3 | 0 3 0 | * * 6 * * | 1 0 0 4 0 0 | 4 0 0 4 0 | 4 0 1.x .. .x .. .. | 0 4 | 0 2 2 | * * * 36 * | 0 1 0 1 2 0 | 1 2 0 2 1 | 2 1 1.. .. .x3.o .. | 0 3 | 0 0 3 | * * * * 24 | 0 0 1 0 2 1 | 0 2 1 1 2 | 1 2 1------------------+------+----------+---------------+-----------------+-------------+------ox3oo .. .. ..&#x♦ 1 3 | 3 3 0 | 3 0 1 0 0 | 6 * * * * * | 4 0 0 0 0 | 4 0 0ox .. ox .. ..&#x♦ 1 4 | 4 2 2 | 2 2 0 1 0 | * 36 * * * * | 1 2 0 0 0 | 2 1 0.. .. ox3oo ..&#x♦ 1 3 | 3 0 3 | 0 3 0 0 1 | * * 24 * * * | 0 2 1 0 0 | 1 2 0.x3.o .x .. ..♦ 0 6 | 0 6 3 | 0 0 2 3 0 | * * * 12 * * | 1 0 0 2 0 | 2 0 1.x .. .x3.o ..♦ 0 6 | 0 3 6 | 0 0 0 3 2 | * * * * 24 * | 0 1 0 1 1 | 1 1 1.. .. .x3.o4.o♦ 0 6 | 0 0 12 | 0 0 0 0 8 | * * * * * 3 | 0 0 1 0 2 | 0 2 1------------------+------+----------+---------------+-----------------+-------------+------ox3oo ox .. ..&#x♦ 1 6 | 6 6 3 | 6 3 2 3 0 | 2 3 0 1 0 0 | 12 * * * * | 2 0 0ox .. ox3oo ..&#x♦ 1 6 | 6 3 6 | 3 6 0 3 2 | 0 3 2 0 1 0 | * 24 * * * | 1 1 0.. .. ox3oo4oo&#x♦ 1 6 | 6 0 12 | 0 12 0 0 8 | 0 0 8 0 0 1 | * * 3 * * | 0 2 0.x3.o .x3.o ..♦ 0 9 | 0 9 9 | 0 0 3 9 3 | 0 0 0 3 3 0 | * * * 8 * | 1 0 1.x .. .x3.o4.o♦ 0 12 | 0 6 24 | 0 0 0 12 16 | 0 0 0 0 8 2 | * * * * 3 | 0 1 1------------------+------+----------+---------------+-----------------+-------------+------ox3oo ox3oo ..&#x♦ 1 9 | 9 9 9 | 9 9 3 9 3 | 3 9 3 3 3 0 | 3 3 0 1 0 | 8 * *ox .. ox3oo4oo&#x♦ 1 12 | 12 6 24 | 6 24 0 12 16 | 0 12 16 0 8 2 | 0 8 2 0 1 | * 3 *.x3.o .x3.o4.o♦ 0 18 | 0 18 36 | 0 0 6 36 24 | 0 0 0 12 24 3 | 0 0 0 8 3 | * *1
ox3oo oo3ox3oo&#x → height = 1/sqrt(6) = 0.408248o.3o. o.3o.3o. |1 *♦ 18 0 0 | 18 36 0 0 0 0 | 6 36 12 12 0 0 0 0 | 12 12 12 3 0 0 0 | 4 4 3 0.o3.o .o3.o3.o | * 18 | 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------------------+------+----------+------------------+-----------------------+------------------+--------oo3oo oo3oo3oo&#x | 1 1 | 18 * * | 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 .. .. .. .. | 0 2 | * 18 * | 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 .. | 0 2 | * * 36 | 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------------------+------+----------+------------------+-----------------------+------------------+--------ox .. .. .. ..&#x | 1 2 | 2 1 0 | 18 * * * * * | 1 4 0 0 0 0 0 0 | 4 2 2 0 0 0 0 | 2 2 1 0.. .. .. ox ..&#x | 1 2 | 2 0 1 | * 36 * * * * | 0 2 1 1 0 0 0 0 | 1 2 2 1 0 0 0 | 1 1 2 0.x3.o .. .. .. | 0 3 | 0 3 0 | * * 6 * * * | 1 0 0 0 4 0 0 0 | 4 0 0 0 2 2 0 | 2 2 0 1.x .. .. .x .. | 0 4 | 0 2 2 | * * * 36 * * | 0 1 0 0 1 1 1 0 | 1 1 1 0 1 1 1 | 2 2 1 1.. .. .o3.x .. | 0 3 | 0 0 3 | * * * * 12 * | 0 0 1 0 0 2 0 1 | 0 2 0 1 1 0 2 | 1 0 2 1.. .. .. .x3.o | 0 3 | 0 0 3 | * * * * * 12 | 0 0 0 1 0 0 2 1 | 0 0 2 1 0 1 2 | 0 1 2 1------------------+------+----------+------------------+-----------------------+------------------+--------ox3oo .. .. ..&#x♦ 1 3 | 3 3 0 | 3 0 1 0 0 0 | 6 * * * * * * * | 4 0 0 0 0 0 0 | 2 2 0 0ox .. .. ox ..&#x♦ 1 4 | 4 2 2 | 2 2 0 1 0 0 | * 36 * * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0.. .. oo3ox ..&#x♦ 1 3 | 3 0 3 | 0 3 0 0 1 0 | * * 12 * * * * * | 0 2 0 1 0 0 0 | 1 0 2 0.. .. .. ox3oo&#x♦ 1 3 | 3 0 3 | 0 3 0 0 0 1 | * * * 12 * * * * | 0 0 2 1 0 0 0 | 0 1 2 0.x3.o .. .x ..♦ 0 6 | 0 6 3 | 0 0 2 3 0 0 | * * * * 12 * * * | 1 0 0 0 1 1 0 | 1 1 0 1.x .. .o3.x ..♦ 0 6 | 0 3 6 | 0 0 0 3 2 0 | * * * * * 12 * * | 0 1 0 0 1 0 1 | 1 0 1 1.x .. ... x3.o♦ 0 6 | 0 3 6 | 0 0 0 3 0 2 | * * * * * * 12 * | 0 0 1 0 0 1 1 | 0 1 1 1.. .. .o3.x3.o♦ 0 6 | 0 0 12 | 0 0 0 0 4 4 | * * * * * * * 3 | 0 0 0 1 0 0 2 | 0 0 2 1------------------+------+----------+------------------+-----------------------+------------------+--------ox3oo .. ox ..&#x♦ 1 6 | 6 6 3 | 6 3 2 3 0 0 | 2 3 0 0 1 0 0 0 | 12 * * * * * * | 1 1 0 0ox .. oo3ox ..&#x♦ 1 6 | 6 3 6 | 3 6 0 3 2 0 | 0 3 2 0 0 1 0 0 | * 12 * * * * * | 1 0 1 0ox .. .. ox3oo&#x♦ 1 6 | 6 3 6 | 3 6 0 3 0 2 | 0 3 0 2 0 0 1 0 | * * 12 * * * * | 0 1 1 0.. .. oo3ox3oo&#x♦ 1 6 | 6 0 12 | 0 12 0 0 4 4 | 0 0 4 4 0 0 0 1 | * * * 3 * * * | 0 0 2 0.x3.o .o3.x ..♦ 0 9 | 0 9 9 | 0 0 3 9 3 0 | 0 0 0 0 3 3 0 0 | * * * * 4 * * | 1 0 0 1.x3.o .. .x3.o♦ 0 9 | 0 9 9 | 0 0 3 9 0 3 | 0 0 0 0 3 0 3 0 | * * * * * 4 * | 0 1 0 1.x .. .o3.x3.o♦ 0 12 | 0 6 24 | 0 0 0 12 8 8 | 0 0 0 0 0 4 4 2 | * * * * * * 3 | 0 0 1 1------------------+------+----------+------------------+-----------------------+------------------+--------ox3oo oo3ox ..&#x♦ 1 9 | 9 9 9 | 9 9 3 9 3 0 | 3 9 3 0 3 3 0 0 | 3 3 0 0 1 0 0 | 4 * * *ox3oo .. ox3oo&#x♦ 1 9 | 9 9 9 | 9 9 3 9 0 3 | 3 9 0 3 3 0 3 0 | 3 0 3 0 0 1 0 | * 4 * *ox .. oo3ox3oo&#x♦ 1 12 | 12 6 24 | 6 24 0 12 8 8 | 0 12 8 8 0 4 4 2 | 0 4 4 2 0 0 1 | * * 3 *.x3.o .o3.x3.o♦ 0 18 | 0 18 36 | 0 0 6 36 12 12 | 0 0 0 0 12 12 12 3 | 0 0 0 0 4 4 3 | * * *1
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