Acronym | tetocta |
Name |
tetrahedron-octahedron-duoprismatic alterprism, tet-first medial segment of broc |
Circumradius | sqrt(15)/4 = 0.968246 |
Face vector | 48, 312, 688, 728, 412, 124, 18 |
Confer |
|
Incidence matrix according to Dynkin symbol
oo3ox3xo oo3xo3ox&#x → height = 1/2
(tetoct || alt. tetoct)
o.3o.3o. o.3o.3o. & | 48 | 3 4 6 | 3 12 2 2 18 9 | 1 12 6 6 1 8 12 12 15 3 | 4 6 6 3 5 10 7 18 9 | 2 2 3 7 4 2 8 6 | 1 3 5
-----------------------+----+-----------+----------------------+--------------------------------+----------------------------+----------------------+------
.. .. x. .. .. .. & | 2 | 72 * * | 2 4 0 0 0 2 | 1 8 2 2 0 0 4 0 4 1 | 4 4 4 1 2 0 2 8 4 | 2 2 2 4 2 0 4 4 | 1 2 4
.. .. .. .. x. .. & | 2 | * 96 * | 0 3 1 1 3 0 | 0 3 3 3 1 3 3 3 3 0 | 1 3 3 3 3 4 3 6 3 | 1 1 3 4 3 1 4 3 | 1 2 4
oo3oo3oo oo3oo3oo&#x | 2 | * * 144 | 0 0 0 0 4 2 | 0 0 0 0 0 2 4 4 4 1 | 0 0 0 0 2 4 2 8 4 | 0 0 0 4 2 1 4 4 | 0 2 4
-----------------------+----+-----------+----------------------+--------------------------------+----------------------------+----------------------+------
.. o.3x. .. .. .. & | 3 | 3 0 0 | 48 * * * * * | 1 4 0 0 0 0 2 0 0 0 | 4 2 2 0 2 0 0 4 1 | 2 2 1 4 1 0 2 2 | 1 2 3
.. .. x. .. x. .. & | 4 | 2 2 0 | * 144 * * * * | 0 2 1 1 0 0 0 0 1 0 | 1 2 2 1 0 0 1 2 1 | 1 1 2 1 1 0 2 2 | 1 1 3
.. .. .. o.3x. .. & | 3 | 0 3 0 | * * 32 * * * | 0 0 3 0 1 3 0 0 0 0 | 0 3 0 3 3 3 3 0 0 | 1 0 3 3 3 1 3 0 | 1 2 3
.. .. .. .. x.3o. & | 3 | 0 3 0 | * * * 32 * * | 0 0 0 3 1 0 3 0 0 0 | 0 0 3 3 3 0 0 3 3 | 0 1 3 3 3 0 1 3 | 1 1 4
.. ox .. .. .. ..&#x & | 3 | 0 1 2 | * * * * 288 * | 0 0 0 0 0 1 1 2 1 0 | 0 0 0 0 1 3 1 4 1 | 0 0 0 3 1 1 3 2 | 0 2 3
.. .. xo .. .. ..&#x & | 3 | 1 0 2 | * * * * * 144 | 0 0 0 0 0 0 2 0 2 1 | 0 0 0 0 1 0 1 4 4 | 0 0 0 2 2 0 2 4 | 0 1 4
-----------------------+----+-----------+----------------------+--------------------------------+----------------------------+----------------------+------
o.3o.3x. .. .. .. & ♦ 4 | 6 0 0 | 4 0 0 0 0 0 | 12 * * * * * * * * * | 4 0 0 0 2 0 0 0 0 | 2 2 0 4 1 0 0 0 | 1 2 2
.. o.3x. .. x. .. & ♦ 6 | 6 3 0 | 2 3 0 0 0 0 | * 96 * * * * * * * * | 1 1 1 0 0 0 0 1 0 | 1 1 1 1 0 0 1 1 | 1 1 2
.. .. x. o.3x. .. & ♦ 6 | 3 6 0 | 0 3 2 0 0 0 | * * 48 * * * * * * * | 0 2 0 1 0 0 1 0 0 | 1 0 2 0 1 0 2 0 | 1 1 2
.. .. x. .. x.3o. & ♦ 6 | 3 6 0 | 0 3 0 2 0 0 | * * * 48 * * * * * * | 0 0 2 1 0 0 0 0 1 | 0 1 2 0 1 0 0 2 | 1 0 3
.. .. .. o.3x.3o. & ♦ 6 | 0 12 0 | 0 0 4 4 0 0 | * * * * 8 * * * * * | 0 0 0 3 3 0 0 0 0 | 0 0 3 3 3 0 0 0 | 1 1 3
oo3ox .. .. .. ..&#x & ♦ 4 | 0 3 3 | 0 0 1 0 3 0 | * * * * * 96 * * * * | 0 0 0 0 1 2 1 0 0 | 0 0 0 2 1 1 2 0 | 0 2 2
.. ox3xo .. .. ..&#x & ♦ 6 | 3 3 6 | 1 0 0 1 3 3 | * * * * * * 96 * * * | 0 0 0 0 1 0 0 2 1 | 0 0 0 2 1 0 2 1 | 0 1 3
.. ox .. .. xo ..&#x ♦ 4 | 0 2 4 | 0 0 0 0 4 0 | * * * * * * * 144 * * | 0 0 0 0 0 2 0 2 0 | 0 0 0 2 0 1 2 1 | 0 2 2
.. ox .. .. .. ox&#x & ♦ 5 | 2 2 4 | 0 1 0 0 2 2 | * * * * * * * * 144 * | 0 0 0 0 0 0 1 2 1 | 0 0 0 1 1 0 2 2 | 0 1 3
.. .. xo .. .. ox&#x ♦ 4 | 2 0 4 | 0 0 0 0 0 4 | * * * * * * * * * 36 | 0 0 0 0 0 0 0 0 4 | 0 0 0 0 2 0 0 4 | 0 0 4
-----------------------+----+-----------+----------------------+--------------------------------+----------------------------+----------------------+------
o.3o.3x. .. x. .. & ♦ 8 | 12 4 0 | 8 6 0 0 0 0 | 2 4 0 0 0 0 0 0 0 0 | 24 * * * * * * * * | 1 1 0 1 0 0 0 0 | 1 1 1
.. o.3x. o.3x. .. & ♦ 9 | 9 9 0 | 3 9 3 0 0 0 | 0 3 3 0 0 0 0 0 0 0 | * 32 * * * * * * * | 1 0 1 0 0 0 1 0 | 1 1 1
.. o.3x. .. x.3o. & ♦ 9 | 9 9 0 | 3 9 0 3 0 0 | 0 3 0 3 0 0 0 0 0 0 | * * 32 * * * * * * | 0 1 1 0 0 0 0 1 | 1 0 2
.. .. x. o.3x.3o. & ♦ 12 | 6 24 0 | 0 12 8 8 0 0 | 0 0 4 4 2 0 0 0 0 0 | * * * 12 * * * * * | 0 0 2 0 1 0 0 0 | 1 0 2
oo3ox3xo .. .. ..&#x & ♦ 10 | 6 12 12 | 4 0 4 4 12 6 | 1 0 0 0 1 4 4 0 0 0 | * * * * 24 * * * * | 0 0 0 2 1 0 0 0 | 0 1 2
oo3ox .. .. xo ..&#x & ♦ 5 | 0 4 6 | 0 0 1 0 9 0 | 0 0 0 0 0 2 0 3 0 0 | * * * * * 96 * * * | 0 0 0 1 0 1 1 0 | 0 2 1
oo3ox .. .. .. ox&#x & ♦ 7 | 3 6 6 | 0 3 2 0 6 3 | 0 0 1 0 0 2 0 0 3 0 | * * * * * * 48 * * | 0 0 0 0 1 0 2 0 | 0 1 2
.. ox3xo .. xo ..&#x & ♦ 9 | 6 6 12 | 2 3 0 1 12 6 | 0 1 0 0 0 0 2 3 3 0 | * * * * * * * 96 * | 0 0 0 1 0 0 1 1 | 0 1 2
.. ox3xo .. .. ox&#x & ♦ 9 | 6 6 12 | 1 3 0 2 6 12 | 0 0 0 1 0 0 2 0 3 3 | * * * * * * * * 48 | 0 0 0 0 1 0 0 2 | 0 0 3
-----------------------+----+-----------+----------------------+--------------------------------+----------------------------+----------------------+------
o.3o.3x. o.3x. .. & ♦ 12 | 18 12 0 | 12 18 4 0 0 0 | 3 12 6 0 0 0 0 0 0 0 | 3 4 0 0 0 0 0 0 0 | 8 * * * * * * * | 1 1 0
o.3o.3x. .. x.3o. & ♦ 12 | 18 12 0 | 12 18 0 4 0 0 | 3 12 0 6 0 0 0 0 0 0 | 3 0 4 0 0 0 0 0 0 | * 8 * * * * * * | 1 0 1
.. o.3x. o.3x.3o. & ♦ 18 | 18 36 0 | 6 36 12 12 0 0 | 0 12 12 12 3 0 0 0 0 0 | 0 4 4 3 0 0 0 0 0 | * * 8 * * * * * | 1 0 1
oo3ox3xo .. xo ..&#x & ♦ 14 | 12 16 24 | 8 6 4 4 36 12 | 2 4 0 0 1 8 8 12 6 0 | 1 0 0 0 2 4 0 4 0 | * * * 24 * * * * | 0 1 1
oo3ox3xo .. .. ox&#x & ♦ 16 | 12 24 24 | 4 12 8 8 24 24 | 1 0 4 4 2 8 8 0 12 6 | 0 0 0 1 2 0 4 0 4 | * * * * 12 * * * | 0 0 2
oo3ox .. oo3xo ..&#x ♦ 6 | 0 6 9 | 0 0 2 0 18 0 | 0 0 0 0 0 6 0 9 0 0 | 0 0 0 0 0 6 0 0 0 | * * * * * 16 * * | 0 2 0
oo3ox .. .. xo3ox&#x & ♦ 12 | 9 12 18 | 3 9 3 1 27 9 | 0 3 3 0 0 6 3 9 9 0 | 0 1 0 0 0 3 3 3 0 | * * * * * * 32 * | 0 1 1
.. ox3xo .. xo3ox&#x ♦ 18 | 18 18 36 | 6 18 0 6 36 36 | 0 6 0 6 0 0 6 9 18 9 | 0 0 2 0 0 0 0 6 6 | * * * * * * * 16 | 0 0 2
-----------------------+----+-----------+----------------------+--------------------------------+----------------------------+----------------------+------
o.3o.3x. o.3x.3o. & ♦ 24 | 36 48 0 | 24 72 16 16 0 0 | 6 48 24 24 4 0 0 0 0 0 | 12 16 16 6 0 0 0 0 0 | 4 4 4 0 0 0 0 0 | 2 * *
oo3ox3xo oo3xo ..&#x & ♦ 18 | 18 24 36 | 12 18 8 4 72 18 | 3 12 6 0 1 24 12 36 18 0 | 3 4 0 0 3 24 6 12 0 | 1 0 0 3 0 4 4 0 | * 8 *
oo3ox3xo .. xo3ox&#x & ♦ 30 | 36 48 72 | 18 54 12 16 108 72 | 3 24 12 18 3 24 36 36 54 18 | 3 4 8 3 6 12 12 24 18 | 0 1 1 3 3 0 4 4 | * * 8
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