Acronym | teta tuttip (alt.: tettut tuttric) |
Name |
tet atop tuttip, tet-first cap of sirhin, (tet,tut,tut)-trigonic |
Circumradius | sqrt(21/8) = 1.620185 |
Lace city in approx. ASCII-art |
x3o3o x3x3o x3x3o |
Face vector | 28, 78, 86, 45, 11 |
Confer |
|
Incidence matrix according to Dynkin symbol
ox oo3ox3xx&#x → height = 1/2
(tet || tuttip)
o. o.3o.3o. | 4 * | 3 6 0 0 0 | 3 3 6 6 0 0 0 0 | 1 3 3 2 6 0 0 0 | 1 3 2 0
.o .o3.o3.o | * 24 | 0 1 1 2 1 | 0 1 2 1 2 1 1 2 | 0 2 1 1 2 1 2 1 | 1 2 1 1
---------------+------+---------------+---------------------+------------------+--------
.. .. .. x. | 2 0 | 6 * * * * | 2 0 0 2 0 0 0 0 | 1 0 1 0 4 0 0 0 | 0 2 2 0
oo oo3oo3oo&#x | 1 1 | * 24 * * * | 0 1 2 1 0 0 0 0 | 0 2 1 1 2 0 0 0 | 1 2 1 0
.x .. .. .. | 0 2 | * * 12 * * | 0 1 0 0 2 1 0 0 | 0 2 1 0 0 1 2 0 | 1 2 0 1
.. .. .x .. | 0 2 | * * * 24 * | 0 0 1 0 1 0 1 1 | 0 1 0 1 1 1 1 1 | 1 1 1 1
.. .. .. .x | 0 2 | * * * * 12 | 0 0 0 1 0 1 0 2 | 0 0 1 0 2 0 2 1 | 0 2 1 1
---------------+------+---------------+---------------------+------------------+--------
.. .. o.3x. | 3 0 | 3 0 0 0 0 | 4 * * * * * * * | 1 0 0 0 2 0 0 0 | 0 1 2 0
ox .. .. ..&#x | 1 2 | 0 2 1 0 0 | * 12 * * * * * * | 0 2 1 0 0 0 0 0 | 1 2 0 0
.. .. ox ..&#x | 1 2 | 0 2 0 1 0 | * * 24 * * * * * | 0 1 0 1 1 0 0 0 | 1 1 1 0
.. .. .. xx&#x | 2 2 | 1 2 0 0 1 | * * * 12 * * * * | 0 0 1 0 2 0 0 0 | 0 2 1 0
.x .. .x .. | 0 4 | 0 0 2 2 0 | * * * * 12 * * * | 0 1 0 0 0 1 1 0 | 1 1 0 1
.x .. .. .x | 0 4 | 0 0 2 0 2 | * * * * * 6 * * | 0 0 1 0 0 0 2 0 | 0 2 0 1
.. .o3.x .. | 0 3 | 0 0 0 3 0 | * * * * * * 8 * | 0 0 0 1 0 1 0 1 | 1 0 1 1
.. .. .x3.x | 0 6 | 0 0 0 3 3 | * * * * * * * 8 | 0 0 0 0 1 0 1 1 | 0 1 1 1
---------------+------+---------------+---------------------+------------------+--------
.. o.3o.3x. ♦ 4 0 | 6 0 0 0 0 | 4 0 0 0 0 0 0 0 | 1 * * * * * * * | 0 0 2 0
ox .. ox ..&#x ♦ 1 4 | 0 4 2 2 0 | 0 2 2 0 1 0 0 0 | * 12 * * * * * * | 1 1 0 0
ox .. .. xx&#x ♦ 2 4 | 1 4 2 0 2 | 0 2 0 2 0 1 0 0 | * * 6 * * * * * | 0 2 0 0
.. oo3ox ..&#x ♦ 1 3 | 0 3 0 3 0 | 0 0 3 0 0 0 1 0 | * * * 8 * * * * | 1 0 1 0
.. .. ox3xx&#x ♦ 3 6 | 3 6 0 3 3 | 1 0 3 3 0 0 0 1 | * * * * 8 * * * | 0 1 1 0
.x .o3.x .. ♦ 0 6 | 0 0 3 6 0 | 0 0 0 0 3 0 2 0 | * * * * * 4 * * | 1 0 0 1
.x .. .x3.x ♦ 0 12 | 0 0 6 6 6 | 0 0 0 0 3 3 0 2 | * * * * * * 4 * | 0 1 0 1
.. .o3.x3.x ♦ 0 12 | 0 0 0 12 6 | 0 0 0 0 0 0 4 4 | * * * * * * * 2 | 0 0 1 1
---------------+------+---------------+---------------------+------------------+--------
ox oo3ox ..&#x ♦ 1 6 | 0 6 3 6 0 | 0 3 6 0 3 0 2 0 | 0 3 0 2 0 1 0 0 | 4 * * *
ox .. ox3xx&#x ♦ 3 12 | 3 12 6 6 6 | 1 6 6 6 3 3 0 2 | 0 3 3 0 2 0 1 0 | * 4 * *
.. oo3ox3xx&#x ♦ 4 12 | 6 12 0 12 6 | 4 0 12 6 0 0 4 4 | 1 0 0 4 4 0 0 1 | * * 2 *
.x .o3.x3.x ♦ 0 24 | 0 0 12 24 12 | 0 0 0 0 12 6 8 8 | 0 0 0 0 0 4 4 2 | * * * 1
ooo3oxx3xxx&#x → height(1,2) = height(1,3) = 1/sqrt(2) = 0.707107 height(2,3) = 1 height(1,23) = 1/2 o..3o..3o.. | 4 * * | 3 3 3 0 0 0 0 0 | 3 3 3 3 3 3 0 0 0 0 0 0 | 1 1 3 3 3 1 3 0 0 0 0 | 1 1 3 1 0 .o.3.o.3.o. | * 12 * | 0 1 0 2 1 1 0 0 | 0 2 1 1 0 0 1 2 2 1 0 0 | 0 1 2 2 1 0 0 1 1 2 0 | 1 1 2 0 1 ..o3..o3..o | * * 12 | 0 0 1 0 0 1 2 1 | 0 0 0 1 2 1 0 0 2 1 1 2 | 0 0 0 2 1 1 2 0 1 2 1 | 0 1 2 1 1 ---------------+---------+----------------------+-----------------------------+------------------------+---------- ... ... x.. | 2 0 0 | 6 * * * * * * * | 2 0 1 0 0 1 0 0 0 0 0 0 | 1 0 2 0 1 0 2 0 0 0 0 | 1 0 2 1 0 oo.3oo.3oo.&#x | 1 1 0 | * 12 * * * * * * | 0 2 1 1 0 0 0 0 0 0 0 0 | 0 1 2 2 1 0 0 0 0 0 0 | 1 1 2 0 0 o.o3o.o3o.o&#x | 1 0 1 | * * 12 * * * * * | 0 0 0 1 2 1 0 0 0 0 0 0 | 0 0 0 2 1 1 2 0 0 0 0 | 0 1 2 1 0 ... .x. ... | 0 2 0 | * * * 12 * * * * | 0 1 0 0 0 0 1 1 1 0 0 0 | 0 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 1 ... ... .x. | 0 2 0 | * * * * 6 * * * | 0 0 1 0 0 0 0 2 0 1 0 0 | 0 0 2 0 1 0 0 1 0 2 0 | 1 0 2 0 1 .oo3.oo3.oo&#x | 0 1 1 | * * * * * 12 * * | 0 0 0 1 0 0 0 0 2 1 0 0 | 0 0 0 2 1 0 0 0 1 2 0 | 0 1 2 0 1 ... ..x ... | 0 0 2 | * * * * * * 12 * | 0 0 0 0 1 0 0 0 1 0 1 1 | 0 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1 ... ... ..x | 0 0 2 | * * * * * * * 6 | 0 0 0 0 0 1 0 0 0 1 0 2 | 0 0 0 0 1 0 2 0 0 2 1 | 0 0 2 1 1 ---------------+---------+----------------------+-----------------------------+------------------------+---------- ... o..3x.. | 3 0 0 | 3 0 0 0 0 0 0 0 | 4 * * * * * * * * * * * | 1 0 1 0 0 0 1 0 0 0 0 | 1 0 1 1 0 ... ox. ...&#x | 1 2 0 | 0 2 0 1 0 0 0 0 | * 12 * * * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 ... ... xx.&#x | 2 2 0 | 1 2 0 0 1 0 0 0 | * * 6 * * * * * * * * * | 0 0 2 0 1 0 0 0 0 0 0 | 1 0 2 0 0 ooo3ooo3ooo&#x | 1 1 1 | 0 1 1 0 0 1 0 0 | * * * 12 * * * * * * * * | 0 0 0 2 1 0 0 0 0 0 0 | 0 1 2 0 0 ... o.x ...&#x | 1 0 2 | 0 0 2 0 0 0 1 0 | * * * * 12 * * * * * * * | 0 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 ... ... x.x&#x | 2 0 2 | 1 0 2 0 0 0 0 1 | * * * * * 6 * * * * * * | 0 0 0 0 1 0 2 0 0 0 0 | 0 0 2 1 0 .o.3.x. ... | 0 3 0 | 0 0 0 3 0 0 0 0 | * * * * * * 4 * * * * * | 0 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 ... .x.3.x. | 0 6 0 | 0 0 0 3 3 0 0 0 | * * * * * * * 4 * * * * | 0 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1 ... .xx ...&#x | 0 2 2 | 0 0 0 1 0 2 1 0 | * * * * * * * * 12 * * * | 0 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 ... ... .xx&#x | 0 2 2 | 0 0 0 0 1 2 0 1 | * * * * * * * * * 6 * * | 0 0 0 0 1 0 0 0 0 2 0 | 0 0 2 0 1 ..o3..x ... | 0 0 3 | 0 0 0 0 0 0 3 0 | * * * * * * * * * * 4 * | 0 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 ... ..x3..x | 0 0 6 | 0 0 0 0 0 0 3 3 | * * * * * * * * * * * 4 | 0 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ---------------+---------+----------------------+-----------------------------+------------------------+---------- o..3o..3x.. ♦ 4 0 0 | 6 0 0 0 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * | 1 0 0 1 0 oo.3ox. ...&#x ♦ 1 3 0 | 0 3 0 3 0 0 0 0 | 0 3 0 0 0 0 1 0 0 0 0 0 | * 4 * * * * * * * * * | 1 1 0 0 0 ... ox.3xx.&#x ♦ 3 6 0 | 3 6 0 3 3 0 0 0 | 1 3 3 0 0 0 0 1 0 0 0 0 | * * 4 * * * * * * * * | 1 0 1 0 0 ... oxx ...&#x ♦ 1 2 2 | 0 2 2 1 0 2 1 0 | 0 1 0 2 1 0 0 0 1 0 0 0 | * * * 12 * * * * * * * | 0 1 1 0 0 ... ... xxx&#x ♦ 2 2 2 | 1 2 2 0 1 2 0 1 | 0 0 1 2 0 1 0 0 0 1 0 0 | * * * * 6 * * * * * * | 0 0 2 0 0 o.o3o.x ...&#x ♦ 1 0 3 | 0 0 3 0 0 0 3 0 | 0 0 0 0 3 0 0 0 0 0 1 0 | * * * * * 4 * * * * * | 0 1 0 1 0 ... o.x3x.x&#x ♦ 3 0 6 | 3 0 6 0 0 0 3 3 | 1 0 0 0 3 3 0 0 0 0 0 1 | * * * * * * 4 * * * * | 0 0 1 1 0 .o.3.x.3.x. ♦ 0 12 0 | 0 0 0 12 6 0 0 0 | 0 0 0 0 0 0 4 4 0 0 0 0 | * * * * * * * 1 * * * | 1 0 0 0 1 .oo3.xx ...&#x ♦ 0 3 3 | 0 0 0 3 0 3 3 0 | 0 0 0 0 0 0 1 0 3 0 1 0 | * * * * * * * * 4 * * | 0 1 0 0 1 ... .xx3.xx&#x ♦ 0 6 6 | 0 0 0 3 3 6 3 3 | 0 0 0 0 0 0 0 1 3 3 0 1 | * * * * * * * * * 4 * | 0 0 1 0 1 ..o3..x3..x ♦ 0 0 12 | 0 0 0 0 0 0 12 6 | 0 0 0 0 0 0 0 0 0 0 4 4 | * * * * * * * * * * 1 | 0 0 0 1 1 ---------------+---------+----------------------+-----------------------------+------------------------+---------- oo.3ox.3xx.&#x ♦ 4 12 0 | 6 12 0 12 6 0 0 0 | 4 12 6 0 0 0 4 4 0 0 0 0 | 1 4 4 0 0 0 0 1 0 0 0 | 1 * * * * ooo3oxx ...&#x ♦ 1 3 3 | 0 3 3 3 0 3 3 0 | 0 3 0 3 3 0 1 0 3 0 1 0 | 0 1 0 3 0 1 0 0 1 0 0 | * 4 * * * ... oxx3xxx&#x ♦ 3 6 6 | 3 6 6 3 3 6 3 3 | 1 3 3 6 3 3 0 1 3 3 0 1 | 0 0 1 3 3 0 1 0 0 1 0 | * * 4 * * o.o3o.x3x.x&#x ♦ 4 0 12 | 6 0 12 0 0 0 12 6 | 4 0 0 0 12 6 0 0 0 0 4 4 | 1 0 0 0 0 4 4 0 0 0 1 | * * * 1 * .oo3.xx3.xx&#x ♦ 0 12 12 | 0 0 0 12 6 12 12 6 | 0 0 0 0 0 0 4 4 12 6 4 4 | 0 0 0 0 0 0 0 1 4 4 1 | * * * * 1
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