Acronym | teta troct |
Name | tetrahedron atop triangle-octahedron duoprism |
Circumradius | sqrt(6/7) = 0.925820 |
Face vector | 22, 96, 160, 130, 56, 12 |
Confer |
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Incidence matrix according to Dynkin symbol
oo3ox oo3ox3xo&#x → height = sqrt(7/24) = 0.540062
(tet || troct)
o.3o. o.3o.3o. | 4 * | 3 9 0 0 | 3 9 9 9 0 0 0 0 | 1 3 9 9 3 9 0 0 0 0 | 3 3 3 9 3 0 0 0 | 1 3 3 0
.o3.o .o3.o3.o | * 18 | 0 2 2 4 | 0 4 4 1 1 8 2 2 | 0 2 8 2 2 2 4 4 4 1 | 4 1 4 4 1 2 2 2 | 2 2 2 1
------------------+------+------------+-----------------------+-----------------------------+--------------------+--------
.. .. .. .. x. | 2 0 | 6 * * * | 2 0 0 3 0 0 0 0 | 1 0 0 3 0 6 0 0 0 0 | 0 1 0 6 3 0 0 0 | 0 2 3 0
oo3oo oo3oo3oo&#x | 1 1 | * 36 * * | 0 2 2 1 0 0 0 0 | 0 1 4 2 1 2 0 0 0 0 | 2 1 2 4 1 0 0 0 | 1 2 2 0
.. .x .. .. .. | 0 2 | * * 18 * | 0 2 0 0 1 4 0 0 | 0 2 4 1 0 0 4 2 2 0 | 4 1 2 2 0 2 2 1 | 2 2 1 1
.. .. .. .x .. | 0 2 | * * * 36 | 0 0 1 0 0 2 1 1 | 0 0 2 0 1 1 1 2 2 1 | 1 0 2 2 1 1 1 2 | 1 1 2 1
------------------+------+------------+-----------------------+-----------------------------+--------------------+--------
.. .. .. o.3x. | 3 0 | 3 0 0 0 | 4 * * * * * * * | 1 0 0 0 0 3 0 0 0 0 | 0 0 0 3 3 0 0 0 | 0 1 3 0
.. ox .. .. ..&#x | 1 2 | 0 2 1 0 | * 36 * * * * * * | 0 1 2 1 0 0 0 0 0 0 | 2 1 1 2 0 0 0 0 | 1 2 1 0
.. .. .. ox ..&#x | 1 2 | 0 2 0 1 | * * 36 * * * * * | 0 0 2 0 1 1 0 0 0 0 | 1 0 2 2 1 0 0 0 | 1 1 2 0
.. .. .. .. xo&#x | 2 1 | 1 2 0 0 | * * * 18 * * * * | 0 0 0 2 0 2 0 0 0 0 | 0 1 0 4 1 0 0 0 | 0 2 2 0
.o3.x .. .. .. | 0 3 | 0 0 3 0 | * * * * 6 * * * | 0 2 0 0 0 0 4 0 0 0 | 4 1 0 0 0 2 2 0 | 2 2 0 1
.. .x .. .x .. | 0 4 | 0 0 2 2 | * * * * * 36 * * | 0 0 1 0 0 0 1 1 1 0 | 1 0 1 1 0 1 1 1 | 1 1 1 1
.. .. .o3.x .. | 0 3 | 0 0 0 3 | * * * * * * 12 * | 0 0 0 0 1 0 0 2 0 1 | 0 0 2 0 1 1 0 2 | 1 0 2 1
.. .. .. .x3.o | 0 3 | 0 0 0 3 | * * * * * * * 12 | 0 0 0 0 0 1 0 0 2 1 | 0 0 0 2 1 0 1 2 | 0 1 2 1
------------------+------+------------+-----------------------+-----------------------------+--------------------+--------
.. .. o.3o.3x. ♦ 4 0 | 6 0 0 0 | 4 0 0 0 0 0 0 0 | 1 * * * * * * * * * | 0 0 0 0 3 0 0 0 | 0 0 3 0
oo3ox .. .. ..&#x ♦ 1 3 | 0 3 3 0 | 0 3 0 0 1 0 0 0 | * 12 * * * * * * * * | 2 1 0 0 0 0 0 0 | 1 2 0 0
.. ox .. ox ..&#x ♦ 1 4 | 0 4 2 2 | 0 2 2 0 0 1 0 0 | * * 36 * * * * * * * | 1 0 1 1 0 0 0 0 | 1 1 1 0
.. ox .. .. xo&#x ♦ 2 2 | 1 4 1 0 | 0 2 0 2 0 0 0 0 | * * * 18 * * * * * * | 0 1 0 2 0 0 0 0 | 0 2 1 0
.. .. oo3ox ..&#x ♦ 1 3 | 0 3 0 3 | 0 0 3 0 0 0 1 0 | * * * * 12 * * * * * | 0 0 2 0 1 0 0 0 | 1 0 2 0
.. .. .. ox3xo&#x ♦ 3 3 | 3 6 0 3 | 1 0 3 3 0 0 0 1 | * * * * * 12 * * * * | 0 0 0 2 1 0 0 0 | 0 1 2 0
.o3.x .. .x .. ♦ 0 6 | 0 0 6 3 | 0 0 0 0 2 3 0 0 | * * * * * * 12 * * * | 1 0 0 0 0 1 1 0 | 1 1 0 1
.. .x .o3.x .. ♦ 0 6 | 0 0 3 6 | 0 0 0 0 0 3 2 0 | * * * * * * * 12 * * | 0 0 1 0 0 1 0 1 | 1 0 1 1
.. .x .. .x3.o ♦ 0 6 | 0 0 3 6 | 0 0 0 0 0 3 0 2 | * * * * * * * * 12 * | 0 0 0 1 0 0 1 1 | 0 1 1 1
.. .. .o3.x3.o ♦ 0 6 | 0 0 0 12 | 0 0 0 0 0 0 4 4 | * * * * * * * * * 3 | 0 0 0 0 1 0 0 2 | 0 0 2 1
------------------+------+------------+-----------------------+-----------------------------+--------------------+--------
oo3ox .. ox ..&#x ♦ 1 6 | 0 6 6 3 | 0 6 3 0 2 3 0 0 | 0 2 3 0 0 0 1 0 0 0 | 12 * * * * * * * | 1 1 0 0
oo3ox .. .. xo&#x ♦ 2 3 | 1 6 3 0 | 0 6 0 3 1 0 0 0 | 0 2 0 3 0 0 0 0 0 0 | * 6 * * * * * * | 0 2 0 0
.. ox oo3ox ..&#x ♦ 1 6 | 0 6 3 6 | 0 3 6 0 0 3 2 0 | 0 0 3 0 2 0 0 1 0 0 | * * 12 * * * * * | 1 0 1 0
.. ox .. ox3xo&#x ♦ 3 6 | 3 12 3 6 | 1 6 6 6 0 3 0 2 | 0 0 3 3 0 2 0 0 1 0 | * * * 12 * * * * | 0 1 1 0
.. .. oo3ox3xo&#x ♦ 4 6 | 6 12 0 12 | 4 0 12 6 0 0 4 4 | 1 0 0 0 4 4 0 0 0 1 | * * * * 3 * * * | 0 0 2 0
.o3.x .o3.x .. ♦ 0 9 | 0 0 9 9 | 0 0 0 0 3 9 3 0 | 0 0 0 0 0 0 3 3 0 0 | * * * * * 4 * * | 1 0 0 1
.o3.x .. .x3.o ♦ 0 9 | 0 0 9 9 | 0 0 0 0 3 9 0 3 | 0 0 0 0 0 0 3 0 3 0 | * * * * * * 4 * | 0 1 0 1
.. .x .o3.x3.o ♦ 0 12 | 0 0 6 24 | 0 0 0 0 0 12 8 8 | 0 0 0 0 0 0 0 4 4 2 | * * * * * * * 3 | 0 0 1 1
------------------+------+------------+-----------------------+-----------------------------+--------------------+--------
oo3ox oo3ox ..&#x ♦ 1 9 | 0 9 9 9 | 0 9 9 0 3 9 3 0 | 0 3 9 0 3 0 3 3 0 0 | 3 0 3 0 0 1 0 0 | 4 * * *
oo3ox .. ox3xo&#x ♦ 3 9 | 3 18 9 9 | 1 18 9 9 3 9 0 3 | 0 6 9 9 0 3 3 0 3 0 | 3 3 0 3 0 0 1 0 | * 4 * *
.. ox oo3ox3xo&#x ♦ 4 12 | 6 24 6 24 | 4 12 24 12 0 12 8 8 | 1 0 12 6 8 8 0 4 4 2 | 0 0 4 4 2 0 0 1 | * * 3 *
.o3.x .o3.x3.o ♦ 0 18 | 0 0 18 36 | 0 0 0 0 6 36 12 12 | 0 0 0 0 0 0 12 12 12 3 | 0 0 0 0 0 4 4 3 | * * * 1
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