Acronym | sabrila |
Name |
sabril alterprism, sabril atop alternate sabril |
Circumradius | sqrt(5/2) = 1.581139 |
Face vector | 420, 3360, 6860, 6370, 3178, 812, 86 |
Confer |
|
Incidence matrix according to Dynkin symbol
oo3xo3ox3xo3ox3oo&#x → height = sqrt(2/7) = 0.534522
(sabril || inv. sabril)
o.3o.3o.3o.3o.3o. & | 420 | 4 6 6 | 2 2 12 3 6 18 9 | 1 6 6 12 3 2 8 12 15 12 3 | 3 6 6 4 1 5 7 10 9 18 | 3 2 2 4 7 8 2 6 | 1 5 3
-----------------------+-----+---------------+--------------------------------+----------------------------------------------+--------------------------------------+----------------------------+--------
.. x. .. .. .. .. & | 2 | 840 * * | 1 1 3 0 0 3 0 | 1 3 3 3 0 0 3 3 3 3 0 | 3 3 3 1 0 3 3 4 3 6 | 3 1 1 3 4 4 1 3 | 1 4 2
.. .. .. x. .. .. & | 2 | * 1260 * | 0 0 2 1 2 0 1 | 0 1 2 4 2 1 0 2 2 0 1 | 1 2 4 2 1 1 1 0 4 4 | 2 1 2 2 2 2 0 4 | 1 4 1
oo3oo3oo3oo3oo3oo&#x | 2 | * * 1260 | 0 0 0 0 0 4 2 | 0 0 0 0 0 0 2 4 4 4 1 | 0 0 0 0 0 2 2 4 4 8 | 0 0 0 2 4 4 1 4 | 0 4 2
-----------------------+-----+---------------+--------------------------------+----------------------------------------------+--------------------------------------+----------------------------+--------
o.3x. .. .. .. .. & | 3 | 3 0 0 | 280 * * * * * * | 1 3 0 0 0 0 3 0 0 0 0 | 3 3 0 0 0 3 3 3 0 0 | 3 1 0 3 3 3 1 0 | 1 3 2
.. x.3o. .. .. .. & | 3 | 3 0 0 | * 280 * * * * * | 1 0 3 0 0 0 0 3 0 0 0 | 3 0 3 0 0 3 0 0 3 3 | 3 0 1 3 3 1 0 3 | 1 4 1
.. x. .. x. .. .. & | 4 | 2 2 0 | * * 1260 * * * * | 0 1 1 2 0 0 0 0 1 0 0 | 1 2 2 1 0 0 1 0 1 2 | 2 1 1 1 1 2 0 2 | 1 3 1
.. .. o.3x. .. .. & | 3 | 0 3 0 | * * * 420 * * * | 0 0 2 0 2 0 0 0 0 0 1 | 1 0 4 0 1 0 0 0 4 0 | 2 0 2 2 0 0 0 4 | 1 4 0
.. .. .. x.3o. .. & | 3 | 0 3 0 | * * * * 840 * * | 0 0 0 2 1 1 0 1 0 0 0 | 0 1 2 2 1 1 0 0 1 2 | 1 1 2 1 2 1 0 2 | 1 3 1
.. xo .. .. .. ..&#x & | 3 | 1 0 2 | * * * * * 2520 * | 0 0 0 0 0 0 1 1 1 2 0 | 0 0 0 0 0 1 1 3 1 4 | 0 0 0 1 3 3 1 2 | 0 3 2
.. .. ox .. .. ..&#x & | 3 | 0 1 2 | * * * * * * 1260 | 0 0 0 0 0 0 0 2 2 0 1 | 0 0 0 0 0 1 1 0 4 4 | 0 0 0 2 2 2 0 4 | 0 4 1
-----------------------+-----+---------------+--------------------------------+----------------------------------------------+--------------------------------------+----------------------------+--------
o.3x.3o. .. .. .. & ♦ 6 | 12 0 0 | 4 4 0 0 0 0 0 | 70 * * * * * * * * * * | 3 0 0 0 0 3 0 0 0 0 | 3 0 0 3 3 0 0 0 | 1 3 1
o.3x. .. x. .. .. & ♦ 6 | 6 3 0 | 2 0 3 0 0 0 0 | * 420 * * * * * * * * * | 1 2 0 0 0 0 1 0 0 0 | 2 1 0 1 0 2 0 0 | 1 2 1
.. x.3o.3x. .. .. & ♦ 12 | 12 12 0 | 0 4 6 4 0 0 0 | * * 210 * * * * * * * * | 1 0 2 0 0 0 0 0 1 0 | 2 0 1 1 0 0 0 2 | 1 3 0
.. x. .. x.3o. .. & ♦ 6 | 3 6 0 | 0 0 3 0 2 0 0 | * * * 840 * * * * * * * | 0 1 1 1 0 0 0 0 0 1 | 1 1 1 0 1 1 0 1 | 1 2 1
.. .. o.3x.3o. .. & ♦ 6 | 0 12 0 | 0 0 0 4 4 0 0 | * * * * 210 * * * * * * | 0 0 2 0 1 0 0 0 1 0 | 1 0 2 1 0 0 0 2 | 1 3 0
.. .. .. x.3o.3o. & ♦ 4 | 0 6 0 | 0 0 0 0 4 0 0 | * * * * * 210 * * * * * | 0 0 0 2 1 1 0 0 0 0 | 0 1 2 1 2 0 0 0 | 1 2 1
oo3xo .. .. .. ..&#x & ♦ 4 | 3 0 3 | 1 0 0 0 0 3 0 | * * * * * * 840 * * * * | 0 0 0 0 0 1 1 2 0 0 | 0 0 0 1 2 2 1 0 | 0 2 2
.. xo3ox .. .. ..&#x & ♦ 6 | 3 3 6 | 0 1 0 0 1 3 3 | * * * * * * * 840 * * * | 0 0 0 0 0 1 0 0 1 2 | 0 0 0 1 2 1 0 2 | 0 3 1
.. xo .. xo .. ..&#x & ♦ 5 | 2 2 4 | 0 0 1 0 0 2 2 | * * * * * * * * 1260 * * | 0 0 0 0 0 0 1 0 1 2 | 0 0 0 1 1 2 0 2 | 0 3 1
.. xo .. .. ox ..&#x ♦ 4 | 2 0 4 | 0 0 0 0 0 4 0 | * * * * * * * * * 1260 * | 0 0 0 0 0 0 0 2 0 2 | 0 0 0 0 2 2 1 1 | 0 2 2
.. .. ox3xo .. ..&#x ♦ 6 | 0 6 6 | 0 0 0 2 0 0 6 | * * * * * * * * * * 210 | 0 0 0 0 0 0 0 0 4 0 | 0 0 0 2 0 0 0 4 | 0 4 0
-----------------------+-----+---------------+--------------------------------+----------------------------------------------+--------------------------------------+----------------------------+--------
o.3x.3o.3x. .. .. & ♦ 30 | 60 30 0 | 20 20 30 10 0 0 0 | 5 10 5 0 0 0 0 0 0 0 0 | 42 * * * * * * * * * | 2 0 0 1 0 0 0 0 | 1 2 0
o.3x. .. x.3o. .. & ♦ 9 | 9 9 0 | 3 0 9 0 3 0 0 | 0 3 0 3 0 0 0 0 0 0 0 | * 280 * * * * * * * * | 1 1 0 0 0 1 0 0 | 1 1 1
.. x.3o.3x.3o. .. & ♦ 30 | 30 60 0 | 0 10 30 20 20 0 0 | 0 0 5 10 5 0 0 0 0 0 0 | * * 84 * * * * * * * | 1 0 1 0 0 0 0 1 | 1 2 0
.. x. .. x.3o.3o. & ♦ 8 | 4 12 0 | 0 0 6 0 8 0 0 | 0 0 0 4 0 2 0 0 0 0 0 | * * * 210 * * * * * * | 0 1 1 0 1 0 0 0 | 1 1 1
.. .. o.3x.3o.3o. & ♦ 10 | 0 30 0 | 0 0 0 10 20 0 0 | 0 0 0 0 5 5 0 0 0 0 0 | * * * * 42 * * * * * | 0 0 2 1 0 0 0 0 | 1 2 0
oo3xo3ox .. .. ..&#x & ♦ 10 | 12 6 12 | 4 4 0 0 4 12 6 | 1 0 0 0 0 1 4 4 0 0 0 | * * * * * 210 * * * * | 0 0 0 1 2 0 0 0 | 0 2 1
oo3xo .. xo .. ..&#x & ♦ 7 | 6 3 6 | 2 0 3 0 0 6 3 | 0 1 0 0 0 0 2 0 3 0 0 | * * * * * * 420 * * * | 0 0 0 1 0 2 0 0 | 0 2 1
oo3xo .. .. ox ..&#x & ♦ 5 | 4 0 6 | 1 0 0 0 0 9 0 | 0 0 0 0 0 0 2 0 0 3 0 | * * * * * * * 840 * * | 0 0 0 0 1 1 1 0 | 0 1 2
.. xo3ox3xo .. ..&#x & ♦ 18 | 12 24 24 | 0 4 6 8 4 12 24 | 0 0 1 0 1 0 0 4 6 0 4 | * * * * * * * * 210 * | 0 0 0 1 0 0 0 2 | 0 3 0
.. xo3ox .. ox ..&#x & ♦ 9 | 6 6 12 | 0 1 3 0 2 12 6 | 0 0 0 1 0 0 0 2 3 3 0 | * * * * * * * * * 840 | 0 0 0 0 1 1 0 1 | 0 2 1
-----------------------+-----+---------------+--------------------------------+----------------------------------------------+--------------------------------------+----------------------------+--------
o.3x.3o.3x.3o. .. & ♦ 90 | 180 180 0 | 60 60 180 60 60 0 0 | 15 60 30 60 15 0 0 0 0 0 0 | 6 20 6 0 0 0 0 0 0 0 | 14 * * * * * * * | 1 1 0
o.3x. .. x.3o.3o. & ♦ 12 | 12 18 0 | 4 0 18 0 12 0 0 | 0 6 0 12 0 3 0 0 0 0 0 | 0 4 0 3 0 0 0 0 0 0 | * 70 * * * * * * | 1 0 1
.. x.3o.3x.3o.3o. & ♦ 60 | 60 180 0 | 0 20 90 60 120 0 0 | 0 0 15 60 30 30 0 0 0 0 0 | 0 0 6 15 6 0 0 0 0 0 | * * 14 * * * * * | 1 1 0
oo3xo3ox3xo .. ..&#x & ♦ 40 | 60 60 60 | 20 20 30 20 20 60 60 | 5 10 5 0 5 5 20 20 30 0 10 | 1 0 0 0 1 5 10 0 5 0 | * * * 42 * * * * | 0 2 0
oo3xo3ox .. ox ..&#x & ♦ 14 | 16 12 24 | 4 4 6 0 8 36 12 | 1 0 0 4 0 2 8 8 6 12 0 | 0 0 0 1 0 2 0 4 0 4 | * * * * 210 * * * | 0 1 1
oo3xo .. xo3ox ..&#x & ♦ 12 | 12 9 18 | 3 1 9 0 3 27 9 | 0 3 0 3 0 0 6 3 9 9 0 | 0 1 0 0 0 0 3 3 0 3 | * * * * * 280 * * | 0 1 1
oo3xo .. .. ox3oo&#x ♦ 6 | 6 0 9 | 2 0 0 0 0 18 0 | 0 0 0 0 0 0 6 0 0 9 0 | 0 0 0 0 0 0 0 6 0 0 | * * * * * * 140 * | 0 0 2
.. xo3ox3xo3ox ..&#x ♦ 60 | 60 120 120 | 0 20 60 40 40 120 120 | 0 0 10 20 10 0 0 40 60 30 20 | 0 0 2 0 0 0 0 0 10 20 | * * * * * * * 42 | 0 2 0
-----------------------+-----+---------------+--------------------------------+----------------------------------------------+--------------------------------------+----------------------------+--------
o.3x.3o.3x.3o.3o. & ♦ 210 | 420 630 0 | 140 140 630 210 420 0 0 | 35 210 105 420 105 105 0 0 0 0 0 | 21 140 42 105 21 0 0 0 0 0 | 7 35 7 0 0 0 0 0 | 2 * *
oo3xo3ox3xo3ox ..&#x & ♦ 150 | 240 360 360 | 60 80 270 120 180 540 360 | 15 60 45 120 45 30 120 180 270 180 60 | 6 20 12 15 6 30 60 60 45 120 | 1 0 1 6 15 20 0 6 | * 14 *
oo3xo3ox .. ox3oo&#x & ♦ 18 | 24 18 36 | 8 4 18 0 12 72 18 | 1 6 0 12 0 3 24 12 18 36 0 | 0 4 0 3 0 3 6 24 0 12 | 0 1 0 0 3 4 4 0 | * * 70
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