| Acronym | tutatope |
| Name |
tut atop tope, tut-first cap of pattix |
| Circumradius | sqrt(41/12) = 1.848423 |
|
Lace city in approx. ASCII-art |
x3x3o
x3x3x x3x3x
|
| Face vector | 60, 162, 168, 81, 17 |
| Confer |
|
Incidence matrix according to Dynkin symbol
ox ox3xx3xx&#x → height = sqrt(3/8) = 0.612372
(tut || tope)
o. o.3o.3o. | 12 * | 2 1 4 0 0 0 0 | 1 2 2 2 4 4 0 0 0 0 0 0 | 1 1 2 2 2 2 4 0 0 0 0 | 1 1 2 2 0
.o .o3.o3.o | * 48 | 0 0 1 1 1 1 1 | 0 0 1 1 1 1 1 1 1 1 1 1 | 0 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1
---------------+-------+---------------------+---------------------------------+---------------------------+----------
.. .. x. .. | 2 0 | 12 * * * * * * | 1 1 0 0 2 0 0 0 0 0 0 0 | 1 0 1 0 2 0 2 0 0 0 0 | 1 0 1 2 0
.. .. .. x. | 2 0 | * 6 * * * * * | 0 2 0 0 0 4 0 0 0 0 0 0 | 1 0 0 2 0 2 4 0 0 0 0 | 0 1 2 2 0
oo oo3oo3oo&#x | 1 1 | * * 48 * * * * | 0 0 1 1 1 1 0 0 0 0 0 0 | 0 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0
.x .. .. .. | 0 2 | * * * 24 * * * | 0 0 1 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 | * * * * 24 * * | 0 0 0 1 0 0 1 0 0 1 1 0 | 0 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1
.. .. .x .. | 0 2 | * * * * * 24 * | 0 0 0 0 1 0 0 1 0 1 0 1 | 0 0 1 0 1 0 1 1 0 1 1 | 1 0 1 1 1
.. .. .. .x | 0 2 | * * * * * * 24 | 0 0 0 0 0 1 0 0 1 0 1 1 | 0 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1
---------------+-------+---------------------+---------------------------------+---------------------------+----------
.. o.3x. .. | 3 0 | 3 0 0 0 0 0 0 | 4 * * * * * * * * * * * | 1 0 0 0 2 0 0 0 0 0 0 | 1 0 0 2 0
.. .. x.3x. | 6 0 | 3 3 0 0 0 0 0 | * 4 * * * * * * * * * * | 1 0 0 0 0 0 2 0 0 0 0 | 0 0 1 2 0
ox .. .. ..&#x | 1 2 | 0 0 2 1 0 0 0 | * * 24 * * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0
.. ox .. ..&#x | 1 2 | 0 0 2 0 1 0 0 | * * * 24 * * * * * * * * | 0 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0
.. .. xx ..&#x | 2 2 | 1 0 2 0 0 1 0 | * * * * 24 * * * * * * * | 0 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0
.. .. .. xx&#x | 2 2 | 0 1 2 0 0 0 1 | * * * * * 24 * * * * * * | 0 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0
.x .x .. .. | 0 4 | 0 0 0 2 2 0 0 | * * * * * * 12 * * * * * | 0 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1
.x .. .x .. | 0 4 | 0 0 0 2 0 2 0 | * * * * * * * 12 * * * * | 0 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1
.x .. .. .x | 0 4 | 0 0 0 2 0 0 2 | * * * * * * * * 12 * * * | 0 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1
.. .x3.x .. | 0 6 | 0 0 0 0 3 3 0 | * * * * * * * * * 8 * * | 0 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 0
.. .x .. .x | 0 4 | 0 0 0 0 2 0 2 | * * * * * * * * * * 12 * | 0 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1
.. .. .x3.x | 0 6 | 0 0 0 0 0 3 3 | * * * * * * * * * * * 8 | 0 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1
---------------+-------+---------------------+---------------------------------+---------------------------+----------
.. o.3x.3x. ♦ 12 0 | 12 6 0 0 0 0 0 | 4 4 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * | 0 0 0 2 0
ox ox .. ..&#x ♦ 1 4 | 0 0 4 2 2 0 0 | 0 0 2 2 0 0 1 0 0 0 0 0 | * 12 * * * * * * * * * | 1 1 0 0 0
ox .. xx ..&#x ♦ 2 4 | 1 0 4 2 0 2 0 | 0 0 2 0 2 0 0 1 0 0 0 0 | * * 12 * * * * * * * * | 1 0 1 0 0
ox .. .. xx&#x ♦ 2 4 | 0 1 4 2 0 0 2 | 0 0 2 0 0 2 0 0 1 0 0 0 | * * * 12 * * * * * * * | 0 1 1 0 0
.. ox3xx ..&#x ♦ 3 6 | 3 0 6 0 3 3 0 | 1 0 0 3 3 0 0 0 0 1 0 0 | * * * * 8 * * * * * * | 1 0 0 1 0
.. ox .. xx&#x ♦ 2 4 | 0 1 4 0 2 0 2 | 0 0 0 2 0 2 0 0 0 0 1 0 | * * * * * 12 * * * * * | 0 1 0 1 0
.. .. xx3xx&#x ♦ 6 6 | 3 3 6 0 0 3 3 | 0 1 0 0 3 3 0 0 0 0 0 1 | * * * * * * 8 * * * * | 0 0 1 1 0
.x .x3.x .. ♦ 0 12 | 0 0 0 6 6 6 0 | 0 0 0 0 0 0 3 3 0 2 0 0 | * * * * * * * 4 * * * | 1 0 0 0 1
.x .x .. .x ♦ 0 8 | 0 0 0 4 4 0 4 | 0 0 0 0 0 0 2 0 2 0 2 0 | * * * * * * * * 6 * * | 0 1 0 0 1
.x .. .x3.x ♦ 0 12 | 0 0 0 6 0 6 6 | 0 0 0 0 0 0 0 3 3 0 0 2 | * * * * * * * * * 4 * | 0 0 1 0 1
.. .x3.x3.x ♦ 0 24 | 0 0 0 0 12 12 12 | 0 0 0 0 0 0 0 0 0 4 6 4 | * * * * * * * * * * 2 | 0 0 0 1 1
---------------+-------+---------------------+---------------------------------+---------------------------+----------
ox ox3xx ..&#x ♦ 3 12 | 3 0 12 6 6 6 0 | 1 0 6 6 6 0 3 3 0 2 0 0 | 0 3 3 0 2 0 0 1 0 0 0 | 4 * * * *
ox ox .. xx&#x ♦ 2 8 | 0 1 8 4 4 0 4 | 0 0 4 4 0 4 2 0 2 0 2 0 | 0 2 0 2 0 2 0 0 1 0 0 | * 6 * * *
ox .. xx3xx&#x ♦ 6 12 | 3 3 12 6 0 6 6 | 0 1 6 0 6 6 0 3 3 0 0 2 | 0 0 3 3 0 0 2 0 0 1 0 | * * 4 * *
.. ox3xx3xx&#x ♦ 12 24 | 12 6 24 0 12 12 12 | 4 4 0 12 12 12 0 0 0 4 6 4 | 1 0 0 0 4 6 4 0 0 0 1 | * * * 2 *
.x .x3.x3.x ♦ 0 48 | 0 0 0 24 24 24 24 | 0 0 0 0 0 0 12 12 12 8 12 8 | 0 0 0 0 0 0 0 4 6 4 2 | * * * * 1
oxx3xxx3xxx&#x → height(1,2) = height(1,3) = sqrt(5/8) = 0.790569
height(2,3) = 1
height(1,23) = sqrt(3/8) = 0.612372
o..3o..3o.. | 12 * * | 2 1 2 2 0 0 0 0 0 0 0 | 1 2 1 2 2 2 1 2 2 0 0 0 0 0 0 0 0 0 | 1 1 1 2 1 2 2 1 1 2 0 0 0 0 0 | 1 1 1 2 1 0
.o.3.o.3.o. | * 24 * | 0 0 1 0 1 1 1 1 0 0 0 | 0 0 1 1 1 1 0 0 0 1 1 1 1 1 1 0 0 0 | 0 1 1 1 1 1 1 0 0 0 1 1 1 1 0 | 1 1 1 1 0 1
..o3..o3..o | * * 24 | 0 0 0 1 0 0 0 1 1 1 1 | 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 1 1 1 | 0 0 0 0 1 1 1 1 1 1 0 1 1 1 1 | 0 1 1 1 1 1
---------------+----------+---------------------------------+-----------------------------------------------+----------------------------------+------------
... x.. ... | 2 0 0 | 12 * * * * * * * * * * | 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 1 0 1 0 1 0 0 0 0 0 | 1 1 0 1 1 0
... ... x.. | 2 0 0 | * 6 * * * * * * * * * | 0 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 | 1 0 1 2 0 0 2 0 1 2 0 0 0 0 0 | 1 0 1 2 1 0
oo.3oo.3oo.&#x | 1 1 0 | * * 24 * * * * * * * * | 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 | 1 1 1 1 0 0
o.o3o.o3o.o&#x | 1 0 1 | * * * 24 * * * * * * * | 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 | 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 | 0 1 1 1 1 0
.x. ... ... | 0 2 0 | * * * * 12 * * * * * * | 0 0 1 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 | 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 | 1 1 1 0 0 1
... .x. ... | 0 2 0 | * * * * * 12 * * * * * | 0 0 0 1 0 0 0 0 0 1 0 1 0 1 0 0 0 0 | 0 1 0 1 0 1 0 0 0 0 1 1 0 1 0 | 1 1 0 1 0 1
... ... .x. | 0 2 0 | * * * * * * 12 * * * * | 0 0 0 0 1 0 0 0 0 0 1 1 0 0 1 0 0 0 | 0 0 1 1 0 0 1 0 0 0 1 0 1 1 0 | 1 0 1 1 0 1
.oo3.oo3.oo&#x | 0 1 1 | * * * * * * * 24 * * * | 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 | 0 0 0 0 1 1 1 0 0 0 0 1 1 1 0 | 0 1 1 1 0 1
..x ... ... | 0 0 2 | * * * * * * * * 12 * * | 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 0 | 0 0 0 0 1 0 0 1 1 0 0 1 1 0 1 | 0 1 1 0 1 1
... ..x ... | 0 0 2 | * * * * * * * * * 12 * | 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 1 | 0 0 0 0 0 1 0 1 0 1 0 1 0 1 1 | 0 1 0 1 1 1
... ... ..x | 0 0 2 | * * * * * * * * * * 12 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 1 | 0 0 0 0 0 0 1 0 1 1 0 0 1 1 1 | 0 0 1 1 1 1
---------------+----------+---------------------------------+-----------------------------------------------+----------------------------------+------------
o..3x.. ... | 3 0 0 | 3 0 0 0 0 0 0 0 0 0 0 | 4 * * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 | 1 1 0 0 1 0
... x..3x.. | 6 0 0 | 3 3 0 0 0 0 0 0 0 0 0 | * 4 * * * * * * * * * * * * * * * * | 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 | 1 0 0 1 1 0
ox. ... ...&#x | 1 2 0 | 0 0 2 0 1 0 0 0 0 0 0 | * * 12 * * * * * * * * * * * * * * * | 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
... xx. ...&#x | 2 2 0 | 1 0 2 0 0 1 0 0 0 0 0 | * * * 12 * * * * * * * * * * * * * * | 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0
... ... xx.&#x | 2 2 0 | 0 1 2 0 0 0 1 0 0 0 0 | * * * * 12 * * * * * * * * * * * * * | 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 | 1 0 1 1 0 0
ooo3ooo3ooo&#x | 1 1 1 | 0 0 1 1 0 0 0 1 0 0 0 | * * * * * 24 * * * * * * * * * * * * | 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0
o.x ... ...&#x | 1 0 2 | 0 0 0 2 0 0 0 0 1 0 0 | * * * * * * 12 * * * * * * * * * * * | 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 | 0 1 1 0 1 0
... x.x ...&#x | 2 0 2 | 1 0 0 2 0 0 0 0 0 1 0 | * * * * * * * 12 * * * * * * * * * * | 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 | 0 1 0 1 1 0
... ... x.x&#x | 2 0 2 | 0 1 0 2 0 0 0 0 0 0 1 | * * * * * * * * 12 * * * * * * * * * | 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 | 0 0 1 1 1 0
.x.3.x. ... | 0 6 0 | 0 0 0 0 3 3 0 0 0 0 0 | * * * * * * * * * 4 * * * * * * * * | 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 | 1 1 0 0 0 1
.x. ... .x. | 0 4 0 | 0 0 0 0 2 0 2 0 0 0 0 | * * * * * * * * * * 6 * * * * * * * | 0 0 1 0 0 0 0 0 0 0 1 0 1 0 0 | 1 0 1 0 0 1
... .x.3.x. | 0 6 0 | 0 0 0 0 0 3 3 0 0 0 0 | * * * * * * * * * * * 4 * * * * * * | 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 | 1 0 0 1 0 1
.xx ... ...&#x | 0 2 2 | 0 0 0 0 1 0 0 2 1 0 0 | * * * * * * * * * * * * 12 * * * * * | 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
... .xx ...&#x | 0 2 2 | 0 0 0 0 0 1 0 2 0 1 0 | * * * * * * * * * * * * * 12 * * * * | 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 | 0 1 0 1 0 1
... ... .xx&#x | 0 2 2 | 0 0 0 0 0 0 1 2 0 0 1 | * * * * * * * * * * * * * * 12 * * * | 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 | 0 0 1 1 0 1
..x3..x ... | 0 0 6 | 0 0 0 0 0 0 0 0 3 3 0 | * * * * * * * * * * * * * * * 4 * * | 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 | 0 1 0 0 1 1
..x ... ..x | 0 0 4 | 0 0 0 0 0 0 0 0 2 0 2 | * * * * * * * * * * * * * * * * 6 * | 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 | 0 0 1 0 1 1
... ..x3..x | 0 0 6 | 0 0 0 0 0 0 0 0 0 3 3 | * * * * * * * * * * * * * * * * * 4 | 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 0 1 1 1
---------------+----------+---------------------------------+-----------------------------------------------+----------------------------------+------------
o..3x..3x.. ♦ 12 0 0 | 12 6 0 0 0 0 0 0 0 0 0 | 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * | 1 0 0 0 1 0
ox.3xx. ...&#x ♦ 3 6 0 | 3 0 6 0 3 3 0 0 0 0 0 | 1 0 3 3 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | * 4 * * * * * * * * * * * * * | 1 1 0 0 0 0
ox. ... xx.&#x ♦ 2 4 0 | 0 1 4 0 2 0 2 0 0 0 0 | 0 0 2 0 2 0 0 0 0 0 1 0 0 0 0 0 0 0 | * * 6 * * * * * * * * * * * * | 1 0 1 0 0 0
... xx.3xx.&#x ♦ 6 6 0 | 3 3 6 0 0 3 3 0 0 0 0 | 0 1 0 3 3 0 0 0 0 0 0 1 0 0 0 0 0 0 | * * * 4 * * * * * * * * * * * | 1 0 0 1 0 0
oxx ... ...&#x ♦ 1 2 2 | 0 0 2 2 1 0 0 2 1 0 0 | 0 0 1 0 0 2 1 0 0 0 0 0 1 0 0 0 0 0 | * * * * 12 * * * * * * * * * * | 0 1 1 0 0 0
... xxx ...&#x ♦ 2 2 2 | 1 0 2 2 0 1 0 2 0 1 0 | 0 0 0 1 0 2 0 1 0 0 0 0 0 1 0 0 0 0 | * * * * * 12 * * * * * * * * * | 0 1 0 1 0 0
... ... xxx&#x ♦ 2 2 2 | 0 1 2 2 0 0 1 2 0 0 1 | 0 0 0 0 1 2 0 0 1 0 0 0 0 0 1 0 0 0 | * * * * * * 12 * * * * * * * * | 0 0 1 1 0 0
o.x3x.x ...&#x ♦ 3 0 6 | 3 0 0 6 0 0 0 0 3 3 0 | 1 0 0 0 0 0 3 3 0 0 0 0 0 0 0 1 0 0 | * * * * * * * 4 * * * * * * * | 0 1 0 0 1 0
o.x ... x.x&#x ♦ 2 0 4 | 0 1 0 4 0 0 0 0 2 0 2 | 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 1 0 | * * * * * * * * 6 * * * * * * | 0 0 1 0 1 0
... x.x3x.x&#x ♦ 6 0 6 | 3 3 0 6 0 0 0 0 0 3 3 | 0 1 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 1 | * * * * * * * * * 4 * * * * * | 0 0 0 1 1 0
.x.3.x.3.x. ♦ 0 24 0 | 0 0 0 0 12 12 12 0 0 0 0 | 0 0 0 0 0 0 0 0 0 4 6 4 0 0 0 0 0 0 | * * * * * * * * * * 1 * * * * | 1 0 0 0 0 1
.xx3.xx ...&#x ♦ 0 6 6 | 0 0 0 0 3 3 0 6 3 3 0 | 0 0 0 0 0 0 0 0 0 1 0 0 3 3 0 1 0 0 | * * * * * * * * * * * 4 * * * | 0 1 0 0 0 1
.xx ... .xx&#x ♦ 0 4 4 | 0 0 0 0 2 0 2 4 2 0 2 | 0 0 0 0 0 0 0 0 0 0 1 0 2 0 2 0 1 0 | * * * * * * * * * * * * 6 * * | 0 0 1 0 0 1
... .xx3.xx&#x ♦ 0 6 6 | 0 0 0 0 0 3 3 6 0 3 3 | 0 0 0 0 0 0 0 0 0 0 0 1 0 3 3 0 0 1 | * * * * * * * * * * * * * 4 * | 0 0 0 1 0 1
..x3..x3..x ♦ 0 0 24 | 0 0 0 0 0 0 0 0 12 12 12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 4 | * * * * * * * * * * * * * * 1 | 0 0 0 0 1 1
---------------+----------+---------------------------------+-----------------------------------------------+----------------------------------+------------
ox.3xx.3xx.&#x ♦ 12 24 0 | 12 6 24 0 12 12 12 0 0 0 0 | 4 4 12 12 12 0 0 0 0 4 6 4 0 0 0 0 0 0 | 1 4 6 4 0 0 0 0 0 0 1 0 0 0 0 | 1 * * * * *
oxx3xxx ...&#x ♦ 3 6 6 | 3 0 6 6 3 3 0 6 3 3 0 | 1 0 3 3 0 6 3 3 0 1 0 0 3 3 0 1 0 0 | 0 1 0 0 3 3 0 1 0 0 0 1 0 0 0 | * 4 * * * *
oxx ... xxx&#x ♦ 2 4 4 | 0 1 4 4 2 0 2 4 2 0 2 | 0 0 2 0 2 4 2 0 2 0 1 0 2 0 2 0 1 0 | 0 0 1 0 2 0 2 0 1 0 0 0 1 0 0 | * * 6 * * *
... xxx3xxx&#x ♦ 6 6 6 | 3 3 6 6 0 3 3 6 0 3 3 | 0 1 0 3 3 6 0 3 3 0 0 1 0 3 3 0 0 1 | 0 0 0 1 0 3 3 0 0 1 0 0 0 1 0 | * * * 4 * *
o.x3x.x3x.x&#x ♦ 12 0 24 | 12 6 0 24 0 0 0 0 12 12 12 | 4 4 0 0 0 0 12 12 12 0 0 0 0 0 0 4 6 4 | 1 0 0 0 0 0 0 4 6 4 0 0 0 0 1 | * * * * 1 *
.xx3.xx3.xx&#x ♦ 0 24 24 | 0 0 0 0 12 12 12 24 12 12 12 | 0 0 0 0 0 0 0 0 0 4 6 4 12 12 12 4 6 4 | 0 0 0 0 0 0 0 0 0 0 1 4 6 4 1 | * * * * * 1
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