Acronym | taccuppy |
Name |
triancontaditeron-prism pyramid, vertex pyramid of rectified hecatonicosoctaexon |
Circumradius | 1 |
Lace city in approx. ASCII-art |
o t t where: o = o3o3o3o4o (point) t = x3o3o3o4o (tac) |
Face vector | 21, 110, 290, 440, 384, 178, 35 |
Confer |
|
Incidence matrix according to Dynkin symbol
ox ox3oo3oo3oo4oo&#x → height = 1/2
(pt || taccup)
o. o.3o.3o.3o.4o. | 1 * ♦ 20 0 0 | 10 80 0 0 | 40 160 0 0 | 80 160 0 0 | 80 64 0 0 | 32 2 0
.o .o3.o3.o3.o4.o | * 20 | 1 1 8 | 1 8 8 24 | 8 24 24 32 | 24 32 32 16 | 32 16 16 1 | 16 1 1
---------------------+------+----------+--------------+---------------+--------------+------------+-------
oo oo3oo3oo3oo4oo&#x | 1 1 | 20 * * | 1 8 0 0 | 8 24 0 0 | 24 32 0 0 | 32 16 0 0 | 16 1 0
.x .. .. .. .. .. | 0 2 | * 10 * ♦ 1 0 8 0 | 8 0 24 0 | 24 0 32 0 | 32 0 16 0 | 16 0 1
.. .x .. .. .. .. | 0 2 | * * 80 | 0 1 1 6 | 1 6 6 12 | 6 12 12 8 | 12 8 8 1 | 8 1 1
---------------------+------+----------+--------------+---------------+--------------+------------+-------
ox .. .. .. .. ..&#x | 1 2 | 2 1 0 | 10 * * * ♦ 8 0 0 0 | 24 0 0 0 | 32 0 0 0 | 16 0 0
.. ox .. .. .. ..&#x | 1 2 | 2 0 1 | * 80 * * | 1 6 0 0 | 6 12 0 0 | 12 8 0 0 | 8 1 0
.x .x .. .. .. .. | 0 4 | 0 2 2 | * * 40 * ♦ 1 0 6 0 | 6 0 12 0 | 12 0 8 0 | 8 0 1
.. .x3.o .. .. .. | 0 3 | 0 0 3 | * * * 160 | 0 1 1 4 | 1 4 4 4 | 4 4 4 1 | 4 1 1
---------------------+------+----------+--------------+---------------+--------------+------------+-------
ox ox .. .. .. ..&#x ♦ 1 4 | 4 2 2 | 2 2 1 0 | 40 * * * ♦ 6 0 0 0 | 12 0 0 0 | 8 0 0
.. ox3oo .. .. ..&#x ♦ 1 3 | 3 0 3 | 0 3 0 1 | * 160 * * | 1 4 0 0 | 4 4 0 0 | 4 1 0
.x .x3.o .. .. .. ♦ 0 6 | 0 3 6 | 0 0 3 2 | * * 80 * ♦ 1 0 4 0 | 4 0 4 0 | 4 0 1
.. .x3.o3.o .. .. ♦ 0 4 | 0 0 6 | 0 0 0 4 | * * * 160 | 0 1 1 2 | 1 2 2 1 | 2 1 1
---------------------+------+----------+--------------+---------------+--------------+------------+-------
ox ox3oo .. .. ..&#x ♦ 1 6 | 6 3 6 | 3 6 3 2 | 3 2 1 0 | 80 * * * | 4 0 0 0 | 4 0 0
.. ox3oo3oo .. ..&#x ♦ 1 4 | 4 0 6 | 0 6 0 4 | 0 4 0 1 | * 160 * * | 1 2 0 0 | 2 1 0
.x .x3.o3.o .. .. ♦ 0 8 | 0 4 12 | 0 0 6 8 | 0 0 4 2 | * * 80 * | 1 0 2 0 | 2 0 1
.. .x3.o3.o3.o .. ♦ 0 5 | 0 0 10 | 0 0 0 10 | 0 0 0 5 | * * * 64 | 0 1 1 1 | 1 1 1
---------------------+------+----------+--------------+---------------+--------------+------------+-------
ox ox3oo3oo .. ..&#x ♦ 1 8 | 8 4 12 | 4 12 6 8 | 6 8 4 2 | 4 2 1 0 | 80 * * * | 2 0 0
.. ox3oo3oo3oo ..&#x ♦ 1 5 | 5 0 10 | 0 10 0 10 | 0 10 0 5 | 0 5 0 1 | * 64 * * | 1 1 0
.x .x3.o3.o3.o .. ♦ 0 10 | 0 5 20 | 0 0 10 20 | 0 0 10 10 | 0 0 5 2 | * * 32 * | 1 0 1
.. .x3.o3.o3.o4.o ♦ 0 10 | 0 0 40 | 0 0 0 80 | 0 0 0 80 | 0 0 0 32 | * * * 2 | 0 1 1
---------------------+------+----------+--------------+---------------+--------------+------------+-------
ox ox3oo3oo3oo ..&#x ♦ 1 10 | 10 5 20 | 5 20 10 20 | 10 20 10 10 | 10 10 5 2 | 5 2 1 0 | 32 * *
.. ox3oo3oo3oo4oo&#x ♦ 1 10 | 10 0 40 | 0 40 0 80 | 0 80 0 80 | 0 80 0 32 | 0 32 0 1 | * 2 *
.x .x3.o3.o3.o4.o ♦ 0 20 | 0 10 80 | 0 0 40 160 | 0 0 80 160 | 0 0 80 64 | 0 0 32 2 | * * 1
ooo3ooo3ooo *b3ooo3oxx&#x → height(1,2) = height(1,3) = 1/sqrt(2) = 0.707107 height(2,3) = 1 o..3o..3o.. *b3o..3o.. | 1 * * ♦ 10 10 0 0 0 | 40 10 40 0 0 0 | 80 40 80 0 0 0 | 80 80 80 0 0 0 0 0 | 16 16 80 16 16 0 0 0 0 | 1 16 16 1 0 .o.3.o.3.o. *b3.o.3.o. | * 10 * | 1 0 8 1 0 | 8 1 0 24 8 0 | 24 8 0 32 24 0 | 32 24 0 8 8 32 0 0 | 8 8 32 0 0 1 8 8 0 | 1 8 8 0 1 ..o3..o3..o *b3..o3..o | * * 10 | 0 1 0 1 8 | 0 1 8 0 8 24 | 0 8 24 0 24 32 | 0 24 32 0 0 32 8 8 | 0 0 32 8 8 0 8 8 1 | 0 8 8 1 1 --------------------------+---------+----------------+-------------------+-------------------+-------------------------+--------------------------+------------ oo.3oo.3oo. *b3oo.3oo.&#x | 1 1 0 | 10 * * * * | 8 1 0 0 0 0 | 24 8 0 0 0 0 | 32 24 0 0 0 0 0 0 | 8 8 32 0 0 0 0 0 0 | 1 8 8 0 0 o.o3o.o3o.o *b3o.o3o.o&#x | 1 0 1 | * 10 * * * | 0 1 8 0 0 0 | 0 8 24 0 0 0 | 0 24 32 0 0 0 0 0 | 0 0 32 8 8 0 0 0 0 | 0 8 8 1 0 ... ... ... ... .x. | 0 2 0 | * * 40 * * | 1 0 0 6 1 0 | 6 1 0 12 6 0 | 12 6 0 4 4 12 0 0 | 4 4 12 0 0 1 4 4 0 | 1 4 4 0 1 .oo3.oo3.oo *b3.oo3.oo&#x | 0 1 1 | * * * 10 * ♦ 0 1 0 0 8 0 | 0 8 0 0 24 0 | 0 24 0 0 0 32 0 0 | 0 0 32 0 0 0 8 8 0 | 0 8 8 0 1 ... ... ... ... ..x | 0 0 2 | * * * * 40 | 0 0 1 0 1 6 | 0 1 6 0 6 12 | 0 6 12 0 0 12 4 4 | 0 0 12 4 4 0 4 4 1 | 0 4 4 1 1 --------------------------+---------+----------------+-------------------+-------------------+-------------------------+--------------------------+------------ ... ... ... ... ox.&#x | 1 2 0 | 2 0 1 0 0 | 40 * * * * * | 6 1 0 0 0 0 | 12 6 0 0 0 0 0 0 | 4 4 12 0 0 0 0 0 0 | 1 4 4 0 0 ooo3ooo3ooo *b3ooo3ooo&#x | 1 1 1 | 1 1 0 1 0 | * 10 * * * * ♦ 0 8 0 0 0 0 | 0 24 0 0 0 0 0 0 | 0 0 32 0 0 0 0 0 0 | 0 8 8 0 0 ... ... ... ... o.x&#x | 1 0 2 | 0 2 0 0 1 | * * 40 * * * | 0 1 6 0 0 0 | 0 6 12 0 0 0 0 0 | 0 0 12 4 4 0 0 0 0 | 0 4 4 1 0 ... ... ... .o.3.x. | 0 3 0 | 0 0 3 0 0 | * * * 80 * * | 1 0 0 4 1 0 | 4 1 0 2 2 4 0 0 | 2 2 4 0 0 1 2 2 0 | 1 2 2 0 1 ... ... ... ... .xx&#x | 0 2 2 | 0 0 1 2 1 | * * * * 40 * ♦ 0 1 0 0 6 0 | 0 6 0 0 0 12 0 0 | 0 0 12 0 0 0 4 4 0 | 0 4 4 0 1 ... ... ... ...o3..x | 0 0 3 | 0 0 0 0 3 | * * * * * 80 | 0 0 1 0 1 4 | 0 1 4 0 0 4 2 2 | 0 0 4 2 2 0 2 2 1 | 0 2 2 1 1 --------------------------+---------+----------------+-------------------+-------------------+-------------------------+--------------------------+------------ ... ... ... oo.3ox.&#x ♦ 1 3 0 | 3 0 3 0 0 | 3 0 0 1 0 0 | 80 * * * * * | 4 1 0 0 0 0 0 0 | 2 2 4 0 0 0 0 0 0 | 1 2 2 0 0 ... ... ... ... oxx&#x ♦ 1 2 2 | 2 2 1 2 1 | 1 2 1 0 1 0 | * 40 * * * * ♦ 0 6 0 0 0 0 0 0 | 0 0 12 0 0 0 0 0 0 | 0 4 4 0 0 ... ... ... o.o3o.x&#x ♦ 1 0 3 | 0 3 0 0 3 | 0 0 3 0 0 1 | * * 80 * * * | 0 1 4 0 0 0 0 0 | 0 0 4 2 2 0 0 0 0 | 0 2 2 1 0 ... .o. ... *b3.o.3.x. ♦ 0 4 0 | 0 0 6 0 0 | 0 0 0 4 0 0 | * * * 80 * * | 1 0 0 1 1 1 0 0 | 1 1 1 0 0 1 1 1 0 | 1 1 1 0 1 ... ... ... .oo3.xx&#x ♦ 0 3 3 | 0 0 3 3 3 | 0 0 0 1 3 1 | * * * * 80 * ♦ 0 1 0 0 0 4 0 0 | 0 0 4 0 0 0 2 2 0 | 0 2 2 0 1 ... ..o ... *b3..o3..x ♦ 0 0 4 | 0 0 0 0 6 | 0 0 0 0 0 4 | * * * * * 80 | 0 0 1 0 0 1 1 1 | 0 0 1 1 1 0 1 1 1 | 0 1 1 1 1 --------------------------+---------+----------------+-------------------+-------------------+-------------------------+--------------------------+------------ ... oo. ... *b3oo.3ox.&#x ♦ 1 4 0 | 4 0 6 0 0 | 6 0 0 4 0 0 | 4 0 0 1 0 0 | 80 * * * * * * * | 1 1 1 0 0 0 0 0 0 | 1 1 1 0 0 ... ... ... ooo3oxx&#x ♦ 1 3 3 | 3 3 3 3 3 | 3 3 3 1 3 1 | 1 3 1 0 1 0 | * 80 * * * * * * | 0 0 4 0 0 0 0 0 0 | 0 2 2 0 0 ... o.o ... *b3o.o3o.x&#x ♦ 1 0 4 | 0 4 0 0 6 | 0 0 6 0 0 4 | 0 0 4 0 0 1 | * * 80 * * * * * | 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0 .o.3.o. ... *b3.o.3.x. ♦ 0 5 0 | 0 0 10 0 0 | 0 0 0 10 0 0 | 0 0 0 5 0 0 | * * * 16 * * * * | 1 0 0 0 0 1 1 0 0 | 1 1 0 0 1 ... .o.3.o. *b3.o.3.x. ♦ 0 5 0 | 0 0 10 0 0 | 0 0 0 10 0 0 | 0 0 0 5 0 0 | * * * * 16 * * * | 0 1 0 0 0 1 0 1 0 | 1 0 1 0 1 ... .oo ... *b3.oo3.xx&#x ♦ 0 4 4 | 0 0 6 4 6 | 0 0 0 4 6 4 | 0 0 0 1 4 1 | * * * * * 80 * * | 0 0 1 0 0 0 1 1 0 | 0 1 1 0 1 ..o3..o ... *b3..o3..x ♦ 0 0 5 | 0 0 0 0 10 | 0 0 0 0 0 10 | 0 0 0 0 0 5 | * * * * * * 16 * | 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 ... ..o3..o *b3..o3..x ♦ 0 0 5 | 0 0 0 0 10 | 0 0 0 0 0 10 | 0 0 0 0 0 5 | * * * * * * * 16 | 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 --------------------------+---------+----------------+-------------------+-------------------+-------------------------+--------------------------+------------ oo.3oo. ... *b3oo.3ox.&#x ♦ 1 5 0 | 5 0 10 0 0 | 10 0 0 10 0 0 | 10 0 0 5 0 0 | 5 0 0 1 0 0 0 0 | 16 * * * * * * * * | 1 1 0 0 0 ... oo.3oo. *b3oo.3ox.&#x ♦ 1 5 0 | 5 0 10 0 0 | 10 0 0 10 0 0 | 10 0 0 5 0 0 | 5 0 0 0 1 0 0 0 | * 16 * * * * * * * | 1 0 1 0 0 ... ooo ... *b3ooo3oxx&#x ♦ 1 4 4 | 4 4 6 4 6 | 6 4 6 4 6 4 | 4 6 4 1 4 1 | 1 4 1 0 0 1 0 0 | * * 80 * * * * * * | 0 1 1 0 0 o.o3o.o ... *b3o.o3o.x&#x ♦ 1 0 5 | 0 5 0 0 10 | 0 0 10 0 0 10 | 0 0 10 0 0 5 | 0 0 5 0 0 0 1 0 | * * * 16 * * * * * | 0 1 0 1 0 ... o.o3o.o *b3o.o3o.x&#x ♦ 1 0 5 | 0 5 0 0 10 | 0 0 10 0 0 10 | 0 0 10 0 0 5 | 0 0 5 0 0 0 0 1 | * * * * 16 * * * * | 0 0 1 1 0 .o.3.o.3.o. *b3.o.3.x. ♦ 0 10 0 | 0 0 40 0 0 | 0 0 0 80 0 0 | 0 0 0 80 0 0 | 0 0 0 16 16 0 0 0 | * * * * * 1 * * * | 1 0 0 0 1 .oo3.oo ... *b3.oo3.xx&#x ♦ 0 5 5 | 0 0 10 5 10 | 0 0 0 10 10 10 | 0 0 0 5 10 5 | 0 0 0 1 0 5 1 0 | * * * * * * 16 * * | 0 1 0 0 1 ... .oo3.oo *b3.oo3.xx&#x ♦ 0 5 5 | 0 0 10 5 10 | 0 0 0 10 10 10 | 0 0 0 5 10 5 | 0 0 0 0 1 5 0 1 | * * * * * * * 16 * | 0 0 1 0 1 ..o3..o3..o *b3..o3..x ♦ 0 0 10 | 0 0 0 0 40 | 0 0 0 0 0 80 | 0 0 0 0 0 80 | 0 0 0 0 0 0 16 16 | * * * * * * * * 1 | 0 0 0 1 1 --------------------------+---------+----------------+-------------------+-------------------+-------------------------+--------------------------+------------ oo.3oo.3oo. *b3oo.3ox.&#x ♦ 1 10 0 | 10 0 40 0 0 | 40 0 0 80 0 0 | 80 0 0 80 0 0 | 80 0 0 16 16 0 0 0 | 16 16 0 0 0 1 0 0 0 | 1 * * * * ooo3ooo ... *b3ooo3oxx&#x ♦ 1 5 5 | 5 5 10 5 10 | 10 5 10 10 10 10 | 10 10 10 5 10 5 | 5 10 5 1 0 5 1 0 | 1 0 5 1 0 0 1 0 0 | * 16 * * * ... ooo3ooo *b3ooo3oxx&#x ♦ 1 5 5 | 5 5 10 5 10 | 10 5 10 10 10 10 | 10 10 10 5 10 5 | 5 10 5 0 1 5 0 1 | 0 1 5 0 1 0 0 1 0 | * * 16 * * o.o3o.o3o.o *b3o.o3o.x&#x ♦ 1 0 10 | 0 10 0 0 40 | 0 0 40 0 0 80 | 0 0 80 0 0 80 | 0 0 80 0 0 0 16 16 | 0 0 0 16 16 0 0 0 1 | * * * 1 * .oo3.oo3.oo *b3.oo3.xx&#x ♦ 0 10 10 | 0 0 40 10 40 | 0 0 0 80 40 80 | 0 0 0 80 80 80 | 0 0 0 16 16 80 16 16 | 0 0 0 0 0 1 16 16 1 | * * * * 1
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