| Acronym | shopjaka |
| Name |
shopjak alterprism, shopjak atop alternate shopjak, rojak-first medial segment of branq |
| Circumradius | sqrt(15)/2 = 1.936492 |
| Face vector | 2160, 25920, 73440, 79920, 37404, 7722, 560 |
| Confer |
|
Incidence matrix according to Dynkin symbol
xo3ox3oo3xo3ox *c3oo&#x → height = 1/sqrt(3) = 0.577350
(shopjak || alt. shopjak)
o.3o.3o.3o.3o. *c3o. & | 2160 | 4 12 8 | 6 24 24 6 12 36 | 4 12 24 12 8 12 8 24 30 4 32 12 | 8 1 6 12 8 4 2 4 20 18 18 28 8 10 | 4 2 4 1 12 16 6 6 9 2 | 1 4 3 5
--------------------------+------+-----------------+----------------------------------+---------------------------------------------------------------+------------------------------------------------------------------+-----------------------------------------+------------
x. .. .. .. .. .. & | 2 | 4320 * * | 3 6 0 0 2 0 | 3 6 6 3 0 0 0 6 6 1 0 0 | 6 1 3 3 2 0 0 0 6 6 6 6 0 0 | 3 2 1 0 6 6 2 3 2 0 | 1 3 2 2
.. .. .. x. .. .. & | 2 | * 12960 * | 0 2 4 1 0 2 | 0 1 4 2 2 4 2 2 2 0 4 1 | 2 0 1 4 2 2 1 2 4 2 2 4 2 2 | 2 1 2 1 4 4 2 1 2 1 | 1 2 2 2
oo3oo3oo3oo3oo *c3oo&#x | 2 | * * 8640 | 0 0 0 0 2 6 | 0 0 0 0 0 0 0 6 6 1 6 3 | 0 0 0 0 0 0 0 0 6 6 6 6 3 2 | 0 0 0 0 6 6 2 3 2 1 | 0 3 2 2
--------------------------+------+-----------------+----------------------------------+---------------------------------------------------------------+------------------------------------------------------------------+-----------------------------------------+------------
x.3o. .. .. .. .. & | 3 | 3 0 0 | 4320 * * * * * | 2 2 0 0 0 0 0 2 0 0 0 0 | 4 1 1 0 0 0 0 0 4 2 1 0 0 0 | 2 2 0 0 4 2 2 1 0 0 | 1 2 2 1
x. .. .. x. .. .. & | 4 | 2 2 0 | * 12960 * * * * | 0 1 2 1 0 0 0 0 1 0 0 0 | 2 0 1 2 1 0 0 0 0 1 1 2 0 0 | 2 1 1 0 2 2 0 1 1 0 | 1 2 1 1
.. .. o.3x. .. .. & | 3 | 0 3 0 | * * 17280 * * * | 0 0 1 0 1 1 1 0 0 0 1 0 | 1 0 0 1 1 1 1 1 1 0 0 1 1 1 | 1 1 1 1 2 1 1 0 1 1 | 1 1 2 1
.. .. .. x.3o. .. & | 3 | 0 3 0 | * * * 4320 * * | 0 0 0 2 0 4 0 2 0 0 0 0 | 0 0 1 4 0 2 0 2 4 1 2 0 0 0 | 2 0 2 1 2 4 2 1 0 0 | 1 2 1 2
xo .. .. .. .. ..&#x & | 3 | 1 0 2 | * * * * 8640 * | 0 0 0 0 0 0 0 3 3 1 0 0 | 0 0 0 0 0 0 0 0 3 3 6 3 0 0 | 0 0 0 0 3 6 1 3 1 0 | 0 3 1 2
.. ox .. .. .. ..&#x & | 3 | 0 1 2 | * * * * * 25920 | 0 0 0 0 0 0 0 1 1 0 2 1 | 0 0 0 0 0 0 0 0 2 2 1 2 2 1 | 0 0 0 0 4 2 1 1 1 1 | 0 2 2 1
--------------------------+------+-----------------+----------------------------------+---------------------------------------------------------------+------------------------------------------------------------------+-----------------------------------------+------------
x.3o.3o. .. .. .. & ♦ 4 | 6 0 0 | 4 0 0 0 0 0 | 2160 * * * * * * * * * * * | 2 1 0 0 0 0 0 0 2 0 0 0 0 0 | 1 2 0 0 2 1 2 0 0 0 | 1 1 2 1
x.3o. .. x. .. .. & ♦ 6 | 6 3 0 | 2 3 0 0 0 0 | * 4320 * * * * * * * * * * | 2 0 1 0 0 0 0 0 0 1 0 0 0 0 | 2 1 0 0 2 0 0 1 0 0 | 1 2 1 0
x. .. o.3x. .. .. & ♦ 6 | 3 6 0 | 0 3 2 0 0 0 | * * 8640 * * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 0 1 0 0 | 1 1 1 0 1 1 0 0 1 0 | 1 1 1 1
x. .. .. x.3o. .. & ♦ 6 | 3 6 0 | 0 3 0 2 0 0 | * * * 4320 * * * * * * * * | 0 0 1 2 0 0 0 0 0 0 1 0 0 0 | 2 0 1 0 0 2 0 1 0 0 | 1 2 0 1
.. o.3o.3x. .. .. & ♦ 4 | 0 6 0 | 0 0 4 0 0 0 | * * * * 4320 * * * * * * * | 1 0 0 0 0 1 1 0 0 0 0 0 1 0 | 1 1 0 1 2 0 0 0 0 1 | 1 1 2 0
.. .. o.3x.3o. .. & ♦ 6 | 0 12 0 | 0 0 4 4 0 0 | * * * * * 4320 * * * * * * | 0 0 0 1 0 1 0 1 1 0 0 0 0 0 | 1 0 1 1 1 1 1 0 0 0 | 1 1 1 1
.. .. o.3x. .. *c3o. & ♦ 4 | 0 6 0 | 0 0 4 0 0 0 | * * * * * * 4320 * * * * * | 0 0 0 0 1 0 1 1 0 0 0 0 0 1 | 0 1 1 1 0 0 1 0 1 1 | 1 0 2 1
xo3ox .. .. .. ..&#x & ♦ 6 | 3 3 6 | 1 0 0 1 3 3 | * * * * * * * 8640 * * * * | 0 0 0 0 0 0 0 0 2 1 1 0 0 0 | 0 0 0 0 2 2 1 1 0 0 | 0 2 1 1
xo .. .. xo .. ..&#x & ♦ 5 | 2 2 4 | 0 1 0 0 2 2 | * * * * * * * * 12960 * * * | 0 0 0 0 0 0 0 0 0 1 1 2 0 0 | 0 0 0 0 2 2 0 1 1 0 | 0 2 1 1
xo .. .. .. ox ..&#x ♦ 4 | 2 0 4 | 0 0 0 0 4 0 | * * * * * * * * * 2160 * * | 0 0 0 0 0 0 0 0 0 0 6 0 0 0 | 0 0 0 0 0 6 0 3 0 0 | 0 3 0 2
.. ox3oo .. .. ..&#x & ♦ 4 | 0 3 3 | 0 0 1 0 0 3 | * * * * * * * * * * 17280 * | 0 0 0 0 0 0 0 0 1 0 0 1 1 1 | 0 0 0 0 2 1 1 0 1 1 | 0 1 2 1
.. ox .. xo .. ..&#x ♦ 4 | 0 2 4 | 0 0 0 0 0 4 | * * * * * * * * * * * 6480 | 0 0 0 0 0 0 0 0 0 2 0 0 2 0 | 0 0 0 0 4 0 0 1 0 1 | 0 2 2 0
--------------------------+------+-----------------+----------------------------------+---------------------------------------------------------------+------------------------------------------------------------------+-----------------------------------------+------------
x.3o.3o.3x. .. .. & ♦ 20 | 30 30 0 | 20 30 20 0 0 0 | 5 10 10 0 5 0 0 0 0 0 0 0 | 864 * * * * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 | 1 1 1 0
x.3o.3o. .. .. *c3o. & ♦ 5 | 10 0 0 | 10 0 0 0 0 0 | 5 0 0 0 0 0 0 0 0 0 0 0 | * 432 * * * * * * * * * * * * | 0 2 0 0 0 0 2 0 0 0 | 1 0 2 1
x.3o. .. x.3o. .. & ♦ 9 | 9 9 0 | 3 9 0 3 0 0 | 0 3 0 3 0 0 0 0 0 0 0 0 | * * 1440 * * * * * * * * * * * | 2 0 0 0 0 0 0 1 0 0 | 1 2 0 0
x. .. o.3x.3o. .. & ♦ 12 | 6 24 0 | 0 12 8 8 0 0 | 0 0 4 4 0 2 0 0 0 0 0 0 | * * * 2160 * * * * * * * * * * | 1 0 1 0 0 1 0 0 0 0 | 1 1 0 1
x. .. o.3x. .. *c3o. & ♦ 8 | 4 12 0 | 0 6 8 0 0 0 | 0 0 4 0 0 0 2 0 0 0 0 0 | * * * * 2160 * * * * * * * * * | 0 1 1 0 0 0 0 0 1 0 | 1 0 1 1
.. o.3o.3x.3o. .. & ♦ 10 | 0 30 0 | 0 0 20 10 0 0 | 0 0 0 0 5 5 0 0 0 0 0 0 | * * * * * 864 * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 | 1 1 1 0
.. o.3o.3x. .. *c3o. & ♦ 8 | 0 24 0 | 0 0 32 0 0 0 | 0 0 0 0 8 0 8 0 0 0 0 0 | * * * * * * 540 * * * * * * * | 0 1 0 1 0 0 0 0 0 1 | 1 0 2 0
.. .. o.3x.3o. *c3o. & ♦ 10 | 0 30 0 | 0 0 20 10 0 0 | 0 0 0 0 0 5 5 0 0 0 0 0 | * * * * * * * 864 * * * * * * | 0 0 1 1 0 0 1 0 0 0 | 1 0 1 1
xo3ox3oo .. .. ..&#x & ♦ 10 | 6 12 12 | 4 0 4 4 6 12 | 1 0 0 0 0 1 0 4 0 0 4 0 | * * * * * * * * 4320 * * * * * | 0 0 0 0 1 1 1 0 0 0 | 0 1 1 1
xo3ox .. xo .. ..&#x & ♦ 9 | 6 6 12 | 2 3 0 1 6 12 | 0 1 0 0 0 0 0 2 3 0 0 3 | * * * * * * * * * 4320 * * * * | 0 0 0 0 2 0 0 1 0 0 | 0 2 1 0
xo3ox .. .. ox ..&#x & ♦ 9 | 6 6 12 | 1 3 0 2 12 6 | 0 0 0 1 0 0 0 2 3 3 0 0 | * * * * * * * * * * 4320 * * * | 0 0 0 0 0 2 0 1 0 0 | 0 2 0 1
xo .. oo3xo .. ..&#x & ♦ 7 | 3 6 6 | 0 3 2 0 3 6 | 0 0 1 0 0 0 0 0 3 0 2 0 | * * * * * * * * * * * 8640 * * | 0 0 0 0 1 1 0 0 1 0 | 0 1 1 1
.. ox3oo3xo .. ..&#x ♦ 8 | 0 12 12 | 0 0 8 0 0 24 | 0 0 0 0 2 0 0 0 0 0 8 6 | * * * * * * * * * * * * 2160 * | 0 0 0 0 2 0 0 0 0 1 | 0 1 2 0
.. ox3oo .. .. *c3oo&#x & ♦ 5 | 0 6 4 | 0 0 4 0 0 6 | 0 0 0 0 0 0 1 0 0 0 4 0 | * * * * * * * * * * * * * 4320 | 0 0 0 0 0 0 1 0 1 1 | 0 0 2 1
--------------------------+------+-----------------+----------------------------------+---------------------------------------------------------------+------------------------------------------------------------------+-----------------------------------------+------------
x.3o.3o.3x.3o. .. & ♦ 60 | 90 180 0 | 60 180 120 60 0 0 | 15 60 60 60 30 30 0 0 0 0 0 0 | 6 0 20 15 0 6 0 0 0 0 0 0 0 0 | 144 * * * * * * * * * | 1 1 0 0
x.3o.3o.3x. .. *c3o. & ♦ 80 | 160 240 0 | 160 240 320 0 0 0 | 80 80 160 0 80 0 80 0 0 0 0 0 | 16 16 0 0 40 0 10 0 0 0 0 0 0 0 | * 54 * * * * * * * * | 1 0 1 0
x. .. o.3x.3o. *c3o. & ♦ 20 | 10 60 0 | 0 30 40 20 0 0 | 0 0 20 10 0 10 10 0 0 0 0 0 | 0 0 0 5 5 0 0 2 0 0 0 0 0 0 | * * 432 * * * * * * * | 1 0 0 1
.. o.3o.3x.3o. *c3o. & ♦ 40 | 0 240 0 | 0 0 320 80 0 0 | 0 0 0 0 80 80 80 0 0 0 0 0 | 0 0 0 0 0 16 10 16 0 0 0 0 0 0 | * * * 54 * * * * * * | 1 0 1 0
xo3ox3oo3xo .. ..&#x & ♦ 30 | 30 60 60 | 20 30 40 10 30 120 | 5 10 10 0 10 5 0 20 30 0 40 30 | 1 0 0 0 0 1 0 0 5 10 0 10 5 0 | * * * * 864 * * * * * | 0 1 1 0
xo3ox3oo .. ox ..&#x & ♦ 16 | 12 24 24 | 4 12 8 8 24 24 | 1 0 4 4 0 2 0 8 12 6 8 0 | 0 0 0 1 0 0 0 0 2 0 4 4 0 0 | * * * * * 2160 * * * * | 0 1 0 1
xo3ox3oo .. .. *c3oo&#x & ♦ 15 | 10 30 20 | 10 0 20 10 10 30 | 5 0 0 0 0 5 5 10 0 0 20 0 | 0 1 0 0 0 0 0 1 5 0 0 0 0 5 | * * * * * * 864 * * * | 0 0 1 1
xo3ox .. xo3ox ..&#x ♦ 18 | 18 18 36 | 6 18 0 6 36 36 | 0 6 0 6 0 0 0 12 18 9 0 9 | 0 0 2 0 0 0 0 0 0 6 6 0 0 0 | * * * * * * * 720 * * | 0 2 0 0
xo .. oo3xo .. *c3oo&#x & ♦ 9 | 4 12 8 | 0 6 8 0 4 12 | 0 0 4 0 0 0 2 0 6 0 8 0 | 0 0 0 0 1 0 0 0 0 0 0 4 0 2 | * * * * * * * * 2160 * | 0 0 1 1
.. ox3oo3xo .. *c3oo&#x ♦ 16 | 0 48 32 | 0 0 64 0 0 96 | 0 0 0 0 16 0 16 0 0 0 64 24 | 0 0 0 0 0 0 2 0 0 0 0 0 8 16 | * * * * * * * * * 270 | 0 0 2 0
--------------------------+------+-----------------+----------------------------------+---------------------------------------------------------------+------------------------------------------------------------------+-----------------------------------------+------------
x.3o.3o.3x.3o. *c3o. & ♦ 1080 | 2160 6480 0 | 2160 6480 8640 2160 0 0 | 1080 2160 4320 2160 2160 2160 2160 0 0 0 0 0 | 432 216 720 1080 1080 432 270 432 0 0 0 0 0 0 | 72 27 216 27 0 0 0 0 0 0 | 2 * * *
xo3ox3oo3xo3ox ..&#x ♦ 120 | 180 360 360 | 120 360 240 120 360 720 | 30 120 120 120 60 60 0 240 360 90 240 180 | 12 0 40 30 0 12 0 0 60 120 120 120 30 0 | 2 0 0 0 12 30 0 20 0 0 | * 72 * *
xo3ox3oo3xo .. *c3oo&#x & ♦ 120 | 160 480 320 | 160 240 640 80 160 960 | 80 80 160 0 160 80 160 160 240 0 640 240 | 16 16 0 0 40 16 20 16 80 80 0 160 80 160 | 0 1 0 1 16 0 16 0 40 10 | * * 54 *
xo3ox3oo .. ox *c3oo&#x & ♦ 25 | 20 60 40 | 10 30 40 20 40 60 | 5 0 20 10 0 10 10 20 30 10 40 0 | 0 1 0 5 5 0 0 2 10 0 10 20 0 10 | 0 0 1 0 0 5 2 0 5 0 | * * * 432
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