| Acronym | laqalin |
| Name |
pentacontihexapentacosiheptacontihexaexon atop pentacontihexahecatonicosihexaexon, 21,3 atop 12,3, laq-first cap of bay, 21,3-first cap of 21,4 |
| Circumradius | sqrt(2) = 1.414214 |
| Face vector | 702, 16128, 92736, 201600, 191016, 87192, 23242, 2776 |
| Confer |
|
Incidence matrix according to Dynkin symbol
xo3oo3oo3ox *c3oo3oo3oo&#x → height = 1/2
(laq || lin)
o.3o.3o.3o. *c3o.3o.3o. | 126 * ♦ 32 32 0 | 240 192 240 0 | 640 480 480 640 0 0 | 160 480 640 240 640 160 480 0 0 0 | 60 192 160 480 480 60 192 0 0 0 | 12 32 60 192 192 12 32 0 0 | 1 12 32 32 1 0
.o3.o3.o3.o *c3.o3.o3.o | * 576 | 0 7 35 | 0 21 105 210 | 0 35 105 420 140 210 | 0 0 35 35 210 140 420 35 105 105 | 0 0 35 21 210 105 210 21 42 21 | 0 0 21 7 105 42 42 7 7 | 0 7 1 21 7 1
---------------------------+---------+-----------------+-------------------------+-------------------------------------+----------------------------------------------------------+----------------------------------------------------+----------------------------------------+--------------------
x. .. .. .. .. .. .. | 2 0 | 2016 * * ♦ 15 6 0 0 | 60 30 15 0 0 0 | 20 60 60 15 20 0 0 0 0 0 | 15 30 20 60 15 0 0 0 0 0 | 6 6 15 30 6 0 0 0 0 | 1 6 6 1 0 0
oo3oo3oo3oo *c3oo3oo3oo&#x | 1 1 | * 4032 * ♦ 0 6 15 0 | 0 15 30 60 0 0 | 0 0 20 15 60 20 60 0 0 0 | 0 0 20 15 60 15 30 0 0 0 | 0 0 15 6 30 6 6 0 0 | 0 6 1 6 1 0
.. .. .. .x .. .. .. | 0 2 | * * 10080 | 0 0 3 12 | 0 0 3 24 12 18 | 0 0 0 1 12 12 36 4 18 12 | 0 0 4 0 18 18 24 6 12 3 | 0 0 6 0 12 12 6 4 3 | 0 4 0 3 3 1
---------------------------+---------+-----------------+-------------------------+-------------------------------------+----------------------------------------------------------+----------------------------------------------------+----------------------------------------+--------------------
x.3o. .. .. .. .. .. | 3 0 | 3 0 0 | 10080 * * * ♦ 8 2 0 0 0 0 | 4 12 8 1 0 0 0 0 0 0 | 6 8 4 12 0 0 0 0 0 0 | 4 2 6 8 0 0 0 0 0 | 1 4 2 0 0 0
xo .. .. .. .. .. ..&#x | 2 1 | 1 2 0 | * 12096 * * ♦ 0 5 5 0 0 0 | 0 0 10 5 10 0 0 0 0 0 | 0 0 10 10 10 0 0 0 0 0 | 0 0 10 5 5 0 0 0 0 | 0 5 1 1 0 0
.. .. .. ox .. .. ..&#x | 1 2 | 0 2 1 | * * 30240 * ♦ 0 0 2 8 0 0 | 0 0 0 1 8 4 12 0 0 0 | 0 0 4 0 12 6 8 0 0 0 | 0 0 6 0 8 4 2 0 0 | 0 4 0 2 1 0
.. .. .o3.x .. .. .. | 0 3 | 0 0 3 | * * * 40320 | 0 0 0 2 2 3 | 0 0 0 0 1 2 6 1 6 3 | 0 0 1 0 3 6 6 3 6 1 | 0 0 3 0 3 6 2 3 2 | 0 3 0 1 2 1
---------------------------+---------+-----------------+-------------------------+-------------------------------------+----------------------------------------------------------+----------------------------------------------------+----------------------------------------+--------------------
x.3o.3o. .. .. .. .. ♦ 4 0 | 6 0 0 | 4 0 0 0 | 20160 * * * * * | 1 3 1 0 0 0 0 0 0 0 | 3 3 1 3 0 0 0 0 0 0 | 3 1 3 3 0 0 0 0 0 | 1 3 1 0 0 0
xo3oo .. .. .. .. ..&#x ♦ 3 1 | 3 3 0 | 1 3 0 0 | * 20160 * * * * | 0 0 4 1 0 0 0 0 0 0 | 0 0 4 6 0 0 0 0 0 0 | 0 0 6 4 0 0 0 0 0 | 0 4 1 0 0 0
xo .. .. ox .. .. ..&#x ♦ 2 2 | 1 4 1 | 0 2 2 0 | * * 30240 * * * | 0 0 0 1 4 0 0 0 0 0 | 0 0 4 0 6 0 0 0 0 0 | 0 0 6 0 4 0 0 0 0 | 0 4 0 1 0 0
.. .. oo3ox .. .. ..&#x ♦ 1 3 | 0 3 3 | 0 0 3 1 | * * * 80640 * * | 0 0 0 0 1 1 3 0 0 0 | 0 0 1 0 3 3 3 0 0 0 | 0 0 3 0 3 3 1 0 0 | 0 3 0 1 1 0
.. .o3.o3.x .. .. .. ♦ 0 4 | 0 0 6 | 0 0 0 4 | * * * * 20160 * | 0 0 0 0 0 1 0 1 3 0 | 0 0 1 0 0 3 0 3 3 0 | 0 0 3 0 0 3 0 3 1 | 0 3 0 0 1 1
.. .. .o3.x *c3.o .. .. ♦ 0 4 | 0 0 6 | 0 0 0 4 | * * * * * 30240 | 0 0 0 0 0 0 2 0 2 2 | 0 0 0 0 1 2 4 1 4 1 | 0 0 1 0 2 4 2 2 2 | 0 2 0 1 2 1
---------------------------+---------+-----------------+-------------------------+-------------------------------------+----------------------------------------------------------+----------------------------------------------------+----------------------------------------+--------------------
x.3o.3o.3o. .. .. .. ♦ 5 0 | 10 0 0 | 10 0 0 0 | 5 0 0 0 0 0 | 4032 * * * * * * * * * ♦ 3 0 1 0 0 0 0 0 0 0 | 3 0 3 0 0 0 0 0 0 | 1 3 0 0 0 0
x.3o.3o. .. *c3o. .. .. ♦ 5 0 | 10 0 0 | 10 0 0 0 | 5 0 0 0 0 0 | * 12096 * * * * * * * * | 1 2 0 1 0 0 0 0 0 0 | 2 1 1 2 0 0 0 0 0 | 1 2 1 0 0 0
xo3oo3oo .. .. .. ..&#x ♦ 4 1 | 6 4 0 | 4 6 0 0 | 1 4 0 0 0 0 | * * 20160 * * * * * * * | 0 0 1 3 0 0 0 0 0 0 | 0 0 3 3 0 0 0 0 0 | 0 3 1 0 0 0
xo3oo .. ox .. .. ..&#x ♦ 3 2 | 3 6 1 | 1 6 3 0 | 0 2 3 0 0 0 | * * * 10080 * * * * * * ♦ 0 0 4 0 0 0 0 0 0 0 | 0 0 6 0 0 0 0 0 0 | 0 4 0 0 0 0
xo .. oo3ox .. .. ..&#x ♦ 2 3 | 1 6 3 | 0 3 6 1 | 0 0 3 2 0 0 | * * * * 40320 * * * * * | 0 0 1 0 3 0 0 0 0 0 | 0 0 3 0 3 0 0 0 0 | 0 3 0 1 0 0
.. oo3oo3ox .. .. ..&#x ♦ 1 4 | 0 4 6 | 0 0 6 4 | 0 0 0 4 1 0 | * * * * * 20160 * * * * ♦ 0 0 1 0 0 3 0 0 0 0 | 0 0 3 0 0 3 0 0 0 | 0 3 0 0 1 0
.. .. oo3ox *c3oo .. ..&#x ♦ 1 4 | 0 4 6 | 0 0 6 4 | 0 0 0 4 0 1 | * * * * * * 60480 * * * | 0 0 0 0 1 1 2 0 0 0 | 0 0 1 0 2 2 1 0 0 | 0 2 0 1 1 0
.o3.o3.o3.x .. .. .. ♦ 0 5 | 0 0 10 | 0 0 0 10 | 0 0 0 0 5 0 | * * * * * * * 4032 * * | 0 0 1 0 0 0 0 3 0 0 | 0 0 3 0 0 0 0 3 0 | 0 3 0 0 0 1
.. .o3.o3.x *c3.o .. .. ♦ 0 8 | 0 0 24 | 0 0 0 32 | 0 0 0 0 8 8 | * * * * * * * * 7560 * | 0 0 0 0 0 1 0 1 2 0 | 0 0 1 0 0 2 0 2 1 | 0 2 0 0 1 1
.. .. .o3.x *c3.o3.o .. ♦ 0 5 | 0 0 10 | 0 0 0 10 | 0 0 0 0 0 5 | * * * * * * * * * 12096 | 0 0 0 0 0 0 2 0 2 1 | 0 0 0 0 1 2 2 1 2 | 0 1 0 1 2 1
---------------------------+---------+-----------------+-------------------------+-------------------------------------+----------------------------------------------------------+----------------------------------------------------+----------------------------------------+--------------------
x.3o.3o.3o. *c3o. .. .. ♦ 10 0 | 40 0 0 | 80 0 0 0 | 80 0 0 0 0 0 | 16 16 0 0 0 0 0 0 0 0 | 756 * * * * * * * * * | 2 0 1 0 0 0 0 0 0 | 1 2 0 0 0 0
x.3o.3o. .. *c3o.3o. .. ♦ 6 0 | 15 0 0 | 20 0 0 0 | 15 0 0 0 0 0 | 0 6 0 0 0 0 0 0 0 0 | * 4032 * * * * * * * * | 1 1 0 1 0 0 0 0 0 | 1 1 1 0 0 0
xo3oo3oo3ox .. .. ..&#x ♦ 5 5 | 10 20 10 | 10 30 30 10 | 5 20 30 20 5 0 | 1 0 5 10 10 5 0 1 0 0 | * * 4032 * * * * * * * | 0 0 3 0 0 0 0 0 0 | 0 3 0 0 0 0
xo3oo3oo .. *c3oo .. ..&#x ♦ 5 1 | 10 5 0 | 10 10 0 0 | 5 10 0 0 0 0 | 0 1 5 0 0 0 0 0 0 0 | * * * 12096 * * * * * * | 0 0 1 2 0 0 0 0 0 | 0 2 1 0 0 0
xo .. oo3ox *c3oo .. ..&#x ♦ 2 4 | 1 8 6 | 0 4 12 4 | 0 0 6 8 0 1 | 0 0 0 0 4 0 2 0 0 0 | * * * * 30240 * * * * * | 0 0 1 0 2 0 0 0 0 | 0 2 0 1 0 0
.. oo3oo3ox *c3oo .. ..&#x ♦ 1 8 | 0 8 24 | 0 0 24 32 | 0 0 0 32 8 8 | 0 0 0 0 0 8 8 0 1 0 | * * * * * 7560 * * * * | 0 0 1 0 0 2 0 0 0 | 0 2 0 0 1 0
.. .. oo3ox *c3oo3oo ..&#x ♦ 1 5 | 0 5 10 | 0 0 10 10 | 0 0 0 10 0 5 | 0 0 0 0 0 0 5 0 0 1 | * * * * * * 24192 * * * | 0 0 0 0 1 1 1 0 0 | 0 1 0 1 1 0
.o3.o3.o3.x *c3.o .. .. ♦ 0 16 | 0 0 80 | 0 0 0 160 | 0 0 0 0 80 40 | 0 0 0 0 0 0 0 16 10 0 | * * * * * * * 756 * * | 0 0 1 0 0 0 0 2 0 | 0 2 0 0 0 1
.. .o3.o3.x *c3.o3.o .. ♦ 0 16 | 0 0 80 | 0 0 0 160 | 0 0 0 0 40 80 | 0 0 0 0 0 0 0 0 10 16 | * * * * * * * * 1512 * | 0 0 0 0 0 1 0 1 1 | 0 1 0 0 1 1
.. .. .o3.x *c3.o3.o3.o ♦ 0 6 | 0 0 15 | 0 0 0 20 | 0 0 0 0 0 15 | 0 0 0 0 0 0 0 0 0 6 | * * * * * * * * * 2016 | 0 0 0 0 0 0 1 0 2 | 0 0 0 1 2 1
---------------------------+---------+-----------------+-------------------------+-------------------------------------+----------------------------------------------------------+----------------------------------------------------+----------------------------------------+--------------------
x.3o.3o.3o. *c3o.3o. .. ♦ 27 0 | 216 0 0 | 720 0 0 0 | 1080 0 0 0 0 0 | 216 432 0 0 0 0 0 0 0 0 | 27 72 0 0 0 0 0 0 0 0 | 56 * * * * * * * * | 1 1 0 0 0 0
x.3o.3o. .. *c3o.3o.3o. ♦ 7 0 | 21 0 0 | 35 0 0 0 | 35 0 0 0 0 0 | 0 21 0 0 0 0 0 0 0 0 | 0 7 0 0 0 0 0 0 0 0 | * 576 * * * * * * * | 1 0 1 0 0 0
xo3oo3oo3ox *c3oo .. ..&#x ♦ 10 16 | 40 80 80 | 80 160 240 160 | 80 160 240 320 80 40 | 16 16 80 80 160 80 80 16 10 0 | 1 0 16 16 40 10 0 1 0 0 | * * 756 * * * * * * | 0 2 0 0 0 0
xo3oo3oo .. *c3oo3oo ..&#x ♦ 6 1 | 15 6 0 | 20 15 0 0 | 15 20 0 0 0 0 | 0 6 15 0 0 0 0 0 0 0 | 0 1 0 6 0 0 0 0 0 0 | * * * 4032 * * * * * | 0 1 1 0 0 0
xo .. oo3ox *c3oo3oo ..&#x ♦ 2 5 | 1 10 10 | 0 5 20 10 | 0 0 10 20 0 5 | 0 0 0 0 10 0 10 0 0 1 | 0 0 0 0 5 0 2 0 0 0 | * * * * 12096 * * * * | 0 1 0 1 0 0
.. oo3oo3ox *c3oo3oo ..&#x ♦ 1 16 | 0 16 80 | 0 0 80 160 | 0 0 0 160 40 80 | 0 0 0 0 0 40 80 0 10 16 | 0 0 0 0 0 10 16 0 1 0 | * * * * * 1512 * * * | 0 1 0 0 1 0
.. .. oo3ox *c3oo3oo3oo&#x ♦ 1 6 | 0 6 15 | 0 0 15 20 | 0 0 0 20 0 15 | 0 0 0 0 0 0 15 0 0 6 | 0 0 0 0 0 0 6 0 0 1 | * * * * * * 4032 * * | 0 0 0 1 1 0
.o3.o3.o3.x *c3.o3.o .. ♦ 0 72 | 0 0 720 | 0 0 0 2160 | 0 0 0 0 1080 1080 | 0 0 0 0 0 0 0 216 270 216 | 0 0 0 0 0 0 0 27 27 0 | * * * * * * * 56 * | 0 1 0 0 0 1
.. .o3.o3.x *c3.o3.o3.o ♦ 0 32 | 0 0 240 | 0 0 0 640 | 0 0 0 0 160 480 | 0 0 0 0 0 0 0 0 60 192 | 0 0 0 0 0 0 0 0 12 32 | * * * * * * * * 126 | 0 0 0 0 1 1
---------------------------+---------+-----------------+-------------------------+-------------------------------------+----------------------------------------------------------+----------------------------------------------------+----------------------------------------+--------------------
x.3o.3o.3o. *c3o.3o.3o. ♦ 126 0 | 2016 0 0 | 10080 0 0 0 | 20160 0 0 0 0 0 | 4032 12096 0 0 0 0 0 0 0 0 | 756 4032 0 0 0 0 0 0 0 0 | 56 576 0 0 0 0 0 0 0 | 1 * * * * *
xo3oo3oo3ox *c3oo3oo ..&#x ♦ 27 72 | 216 432 720 | 720 1080 2160 2160 | 1080 1440 2160 4320 1080 1080 | 216 432 1080 720 2160 1080 2160 216 270 216 | 27 72 216 432 1080 270 432 27 27 0 | 1 0 27 72 216 27 0 1 0 | * 56 * * * *
xo3oo3oo .. *c3oo3oo3oo&#x ♦ 7 1 | 21 7 0 | 35 21 0 0 | 35 35 0 0 0 0 | 0 21 35 0 0 0 0 0 0 0 | 0 7 0 21 0 0 0 0 0 0 | 0 1 0 7 0 0 0 0 0 | * * 576 * * *
xo .. oo3ox *c3oo3oo3oo&#x ♦ 2 6 | 1 12 15 | 0 6 30 20 | 0 0 15 40 0 15 | 0 0 0 0 20 0 30 0 0 6 | 0 0 0 0 15 0 12 0 0 1 | 0 0 0 0 6 0 2 0 0 | * * * 2016 * *
.. oo3oo3ox *c3oo3oo3oo&#x ♦ 1 32 | 0 32 240 | 0 0 240 640 | 0 0 0 640 160 480 | 0 0 0 0 0 160 480 0 60 192 | 0 0 0 0 0 60 192 0 12 32 | 0 0 0 0 0 12 32 0 1 | * * * * 126 *
.o3.o3.o3.x *c3.o3.o3.o ♦ 0 576 | 0 0 10080 | 0 0 0 40320 | 0 0 0 0 20160 30240 | 0 0 0 0 0 0 0 4032 7560 12096 | 0 0 0 0 0 0 0 756 1512 2016 | 0 0 0 0 0 0 0 56 126 | * * * * * 1
© 2004-2024 | top of page |