Acronym | hejaka |
Name |
hejak alterprism, hejak atop alternate hejak |
Circumradius | sqrt(11)/2 = 1.658312 |
Face vector | 864, 8640, 30960, 51120, 41580, 14922, 1280 |
Confer |
|
This polyexon oocurs as a diminishing of the medial segment of stanq. It well can be seen as a partial Stott expansion of jaka.
Incidence matrix according to Dynkin symbol
xo3oo3oo3oo3ox *c3xx&#x → height = 1/sqrt(3) = 0.577350
(hejak || alt. hejak)
o.3o.3o.3o.3o. *c3o. & | 864 | 5 10 5 | 10 20 30 30 30 | 10 10 30 10 20 40 30 90 60 | 5 10 20 5 5 25 50 40 90 60 40 | 1 5 5 1 6 15 25 10 50 30 30 5 | 1 1 6 15 10
--------------------------+-----+----------------+--------------------------+-----------------------------------------------+----------------------------------------------------+----------------------------------------------------+----------------
x. .. .. .. .. .. & | 2 | 2160 * * | 4 4 0 4 0 | 6 4 6 0 0 12 6 12 0 | 4 6 4 0 0 12 16 12 12 12 0 | 1 4 1 0 4 7 12 4 16 4 6 0 | 1 1 4 7 4
.. .. .. .. .. x. & | 2 | * 4320 * | 0 2 6 0 3 | 0 1 6 3 6 0 0 9 12 | 0 3 6 3 2 0 0 4 18 6 12 | 0 3 2 1 0 0 8 0 5 9 6 3 | 1 0 4 5 1
oo3oo3oo3oo3oo *c3oo&#x | 2 | * * 2160 | 0 0 0 8 6 | 0 0 0 0 0 12 12 24 12 | 0 0 0 0 0 8 24 12 24 24 8 | 0 0 0 0 2 8 8 6 24 8 12 1 | 0 1 2 8 6
--------------------------+-----+----------------+--------------------------+-----------------------------------------------+----------------------------------------------------+----------------------------------------------------+----------------
x.3o. .. .. .. .. & | 3 | 3 0 0 | 2880 * * * * | 3 1 0 0 0 3 0 0 0 | 3 3 0 0 0 6 3 3 0 0 0 | 1 3 0 0 3 3 6 1 3 0 0 0 | 1 1 3 3 1
x. .. .. .. .. x. & | 4 | 2 2 0 | * 4320 * * * | 0 1 3 0 0 0 0 3 0 | 0 3 3 0 0 0 0 3 6 3 0 | 0 3 1 0 0 0 6 0 4 3 3 0 | 1 0 3 4 1
.. .. o. .. .. *c3x. & | 3 | 0 3 0 | * * 8640 * * | 0 0 1 1 2 0 0 0 2 | 0 1 2 2 1 0 0 0 3 0 4 | 0 2 1 1 0 0 3 0 0 3 1 2 | 1 0 3 2 0
xo .. .. .. .. ..&#x & | 3 | 1 0 2 | * * * 8640 * | 0 0 0 0 0 3 3 3 0 | 0 0 0 0 0 3 9 3 3 6 0 | 0 0 0 0 1 4 3 3 9 1 3 0 | 0 1 1 4 3
.. .. .. .. .. xx&#x | 4 | 0 2 2 | * * * * 6480 | 0 0 0 0 0 0 0 4 4 | 0 0 0 0 0 0 0 2 8 4 4 | 0 0 0 0 0 0 4 0 4 4 4 1 | 0 0 2 4 1
--------------------------+-----+----------------+--------------------------+-----------------------------------------------+----------------------------------------------------+----------------------------------------------------+----------------
x.3o.3o. .. .. .. & ♦ 4 | 6 0 0 | 4 0 0 0 0 | 2160 * * * * * * * * | 2 1 0 0 0 2 0 0 0 0 0 | 1 2 0 0 2 1 2 0 0 0 0 0 | 1 1 2 1 0
x.3o. .. .. .. x. & ♦ 6 | 6 3 0 | 2 3 0 0 0 | * 1440 * * * * * * * | 0 3 0 0 0 0 0 3 0 0 0 | 0 3 0 0 0 0 6 0 3 0 0 0 | 1 0 3 3 1
x. .. o. .. .. *c3x. & ♦ 6 | 3 6 0 | 0 3 2 0 0 | * * 4320 * * * * * * | 0 1 2 0 0 0 0 0 2 0 0 | 0 2 1 0 0 0 2 0 0 2 1 0 | 1 0 2 2 0
.. o.3o. .. .. *c3x. & ♦ 4 | 0 6 0 | 0 0 4 0 0 | * * * 2160 * * * * * | 0 1 0 2 0 0 0 0 0 0 2 | 0 2 0 1 0 0 2 0 0 1 0 2 | 1 0 3 1 0
.. .. o.3o. .. *c3x. & ♦ 4 | 0 6 0 | 0 0 4 0 0 | * * * * 4320 * * * * | 0 0 1 1 1 0 0 0 0 0 1 | 0 1 1 1 0 0 1 0 0 1 0 1 | 1 0 2 1 0
xo3oo .. .. .. ..&#x & ♦ 4 | 3 0 3 | 1 0 0 3 0 | * * * * * 8640 * * * | 0 0 0 0 0 2 2 1 0 0 0 | 0 0 0 0 1 2 2 1 2 0 0 0 | 0 1 1 2 1
xo .. .. .. ox ..&#x ♦ 4 | 2 0 4 | 0 0 0 4 0 | * * * * * * 6480 * * | 0 0 0 0 0 0 4 0 0 2 0 | 0 0 0 0 0 2 0 2 4 0 1 0 | 0 1 0 2 2
xo .. .. .. .. xx&#x & ♦ 6 | 2 3 4 | 0 1 0 2 2 | * * * * * * * 12960 * | 0 0 0 0 0 0 0 1 2 2 0 | 0 0 0 0 0 0 2 0 3 1 2 0 | 0 0 1 3 1
.. .. oo .. .. *c3xx&#x ♦ 6 | 0 6 3 | 0 0 2 0 3 | * * * * * * * * 8640 | 0 0 0 0 0 0 0 0 2 0 2 | 0 0 0 0 0 0 2 0 0 2 1 1 | 0 0 2 2 0
--------------------------+-----+----------------+--------------------------+-----------------------------------------------+----------------------------------------------------+----------------------------------------------------+----------------
x.3o.3o.3o. .. .. & ♦ 5 | 10 0 0 | 10 0 0 0 0 | 5 0 0 0 0 0 0 0 0 | 864 * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 0 | 1 1 1 0 0
x.3o.3o. .. .. *c3x. & ♦ 20 | 30 30 0 | 20 30 20 0 0 | 5 10 10 5 0 0 0 0 0 | * 432 * * * * * * * * * | 0 2 0 0 0 0 2 0 0 0 0 0 | 1 0 2 1 0
x. .. o.3o. .. *c3x. & ♦ 8 | 4 12 0 | 0 6 8 0 0 | 0 0 4 0 2 0 0 0 0 | * * 2160 * * * * * * * * | 0 1 1 0 0 0 0 0 0 1 0 0 | 1 0 1 1 0
.. o.3o.3o. .. *c3x. & ♦ 8 | 0 24 0 | 0 0 32 0 0 | 0 0 0 8 8 0 0 0 0 | * * * 540 * * * * * * * | 0 1 0 1 0 0 0 0 0 0 0 1 | 1 0 2 0 0
.. .. o.3o.3o. *c3x. & ♦ 5 | 0 10 0 | 0 0 10 0 0 | 0 0 0 0 5 0 0 0 0 | * * * * 864 * * * * * * | 0 0 1 1 0 0 1 0 0 0 0 0 | 1 0 1 1 0
xo3oo3oo .. .. ..&#x & ♦ 5 | 6 0 4 | 4 0 0 6 0 | 1 0 0 0 0 4 0 0 0 | * * * * * 4320 * * * * * | 0 0 0 0 1 1 1 0 0 0 0 0 | 0 1 1 1 0
xo3oo .. .. ox ..&#x & ♦ 5 | 4 0 6 | 1 0 0 9 0 | 0 0 0 0 0 2 3 0 0 | * * * * * * 8640 * * * * | 0 0 0 0 0 1 0 1 1 0 0 0 | 0 1 0 1 1
xo3oo .. .. .. xx&#x & ♦ 8 | 6 4 6 | 2 3 0 6 3 | 0 1 0 0 0 2 0 3 0 | * * * * * * * 4320 * * * | 0 0 0 0 0 0 2 0 2 0 0 0 | 0 0 1 2 1
xo .. oo .. .. *c3xx&#x & ♦ 9 | 3 9 6 | 0 3 3 3 6 | 0 0 1 0 0 0 0 3 2 | * * * * * * * * 8640 * * | 0 0 0 0 0 0 1 0 0 1 1 0 | 0 0 1 2 0
xo .. .. .. ox xx&#x ♦ 8 | 4 4 8 | 0 2 0 8 4 | 0 0 0 0 0 0 2 4 0 | * * * * * * * * * 6480 * | 0 0 0 0 0 0 0 0 2 0 1 0 | 0 0 0 2 1
.. oo3oo .. .. *c3xx&#x & ♦ 8 | 0 12 4 | 0 0 8 0 6 | 0 0 0 1 1 0 0 0 4 | * * * * * * * * * * 4320 | 0 0 0 0 0 0 1 0 0 1 0 1 | 0 0 2 1 0
--------------------------+-----+----------------+--------------------------+-----------------------------------------------+----------------------------------------------------+----------------------------------------------------+----------------
x.3o.3o.3o.3o. .. & ♦ 6 | 15 0 0 | 20 0 0 0 0 | 15 0 0 0 0 0 0 0 0 | 6 0 0 0 0 0 0 0 0 0 0 | 144 * * * * * * * * * * * | 1 1 0 0 0
x.3o.3o.3o. .. *c3x. & ♦ 80 | 160 240 0 | 160 240 320 0 0 | 80 80 160 80 80 0 0 0 0 | 16 16 40 10 0 0 0 0 0 0 0 | * 54 * * * * * * * * * * | 1 0 1 0 0
x. .. o.3o.3o. *c3x. & ♦ 10 | 5 20 0 | 0 10 20 0 0 | 0 0 10 0 10 0 0 0 0 | 0 0 5 0 2 0 0 0 0 0 0 | * * 432 * * * * * * * * * | 1 0 0 1 0
.. o.3o.3o.3o. *c3x. & ♦ 16 | 0 80 0 | 0 0 160 0 0 | 0 0 0 40 80 0 0 0 0 | 0 0 0 10 16 0 0 0 0 0 0 | * * * 54 * * * * * * * * | 1 0 1 0 0
xo3oo3oo3oo .. ..&#x & ♦ 6 | 10 0 5 | 10 0 0 10 0 | 5 0 0 0 0 10 0 0 0 | 1 0 0 0 0 5 0 0 0 0 0 | * * * * 864 * * * * * * * | 0 1 1 0 0
xo3oo3oo .. ox ..&#x & ♦ 6 | 7 0 8 | 4 0 0 16 0 | 1 0 0 0 0 8 6 0 0 | 0 0 0 0 0 2 4 0 0 0 0 | * * * * * 2160 * * * * * * | 0 1 0 1 0
xo3oo3oo .. .. *c3xx&#x & ♦ 25 | 30 40 20 | 20 30 30 30 30 | 5 10 10 5 5 20 0 30 20 | 0 1 0 0 1 5 0 10 10 0 5 | * * * * * * 864 * * * * * | 0 0 1 1 0
xo3oo .. oo3ox ..&#x ♦ 6 | 6 0 9 | 2 0 0 18 0 | 0 0 0 0 0 6 9 0 0 | 0 0 0 0 0 0 6 0 0 0 0 | * * * * * * * 1440 * * * * | 0 1 0 0 1
xo3oo .. .. ox xx&#x & ♦ 10 | 8 5 12 | 2 4 0 18 6 | 0 1 0 0 0 4 6 9 0 | 0 0 0 0 0 0 2 2 0 3 0 | * * * * * * * * 4320 * * * | 0 0 0 1 1
xo .. oo3oo .. *c3xx&#x & ♦ 12 | 4 18 8 | 0 6 12 4 12 | 0 0 4 1 2 0 0 6 8 | 0 0 1 0 0 0 0 0 4 0 2 | * * * * * * * * * 2160 * * | 0 0 1 1 0
xo .. oo .. ox *c3xx&#x ♦ 12 | 6 12 12 | 0 6 4 12 12 | 0 0 2 0 0 0 3 12 4 | 0 0 0 0 0 0 0 0 4 3 0 | * * * * * * * * * * 2160 * | 0 0 0 2 0
.. oo3oo3oo .. *c3xx&#x ♦ 16 | 0 48 8 | 0 0 64 0 24 | 0 0 0 16 16 0 0 0 32 | 0 0 0 2 0 0 0 0 0 0 16 | * * * * * * * * * * * 270 | 0 0 2 0 0
--------------------------+-----+----------------+--------------------------+-----------------------------------------------+----------------------------------------------------+----------------------------------------------------+----------------
x.3o.3o.3o.3o. *c3x. & ♦ 432 | 1080 2160 0 | 1440 2160 4320 0 0 | 1080 720 2160 1080 2160 0 0 0 0 | 432 216 1080 270 432 0 0 0 0 0 0 | 72 27 216 27 0 0 0 0 0 0 0 0 | 2 * * * *
xo3oo3oo3oo3ox ..&#x ♦ 12 | 30 0 30 | 40 0 0 120 0 | 30 0 0 0 0 120 90 0 0 | 12 0 0 0 0 60 12 0 0 0 0 | 2 0 0 0 12 30 0 20 0 0 0 0 | * 72 * * *
xo3oo3oo3oo .. *c3xx&#x & ♦ 96 | 160 320 80 | 160 240 480 160 240 | 80 80 160 120 160 160 0 240 320 | 16 16 40 20 16 80 0 80 160 0 160 | 0 1 0 1 16 0 16 0 0 40 0 10 | * * 54 * *
xo3oo3oo .. ox *c3xx&#x & ♦ 30 | 35 50 40 | 20 40 40 80 60 | 5 10 20 5 10 40 30 90 40 | 0 1 5 0 2 10 20 20 40 30 10 | 0 0 1 0 0 5 2 0 10 5 10 0 | * * * 432 *
xo3oo .. oo3ox xx&#x ♦ 12 | 12 6 18 | 4 6 0 36 9 | 0 2 0 0 0 12 18 18 0 | 0 0 0 0 0 0 12 6 0 9 0 | 0 0 0 0 0 0 0 2 6 0 0 0 | * * * * 720
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