Acronym | troctpy |
Name |
troct pyramid, vertex pyramid of brag |
Circumradius | sqrt(3/2) = 1.224745 |
Face vector | 19, 72, 120, 105, 50, 12 |
Confer |
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Incidence matrix according to Dynkin symbol
ox3oo ox3oo4oo&#x → height = 1/sqrt(6) = 0.408248 o.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 0 ox .. 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 0 ox .. 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) = 0.408248 o.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 0 ox .. .. 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 0 ox .. 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 0 ox .. .. 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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