| Acronym | octacope |
| Name |
oct atop cope, oct-first cap of nit |
| Circumradius | sqrt(3/2) = 1.224745 |
|
Lace city in approx. ASCII-art |
x3o4o
o3x4o o3x4o
|
| Face vector | 30, 120, 156, 81, 17 |
| Confer |
|
This polyteron occurs as oct-first cap of nit wrt. those octahedra only, which are the margins between 2 icoes.
Incidence matrix according to Dynkin symbol
ox xo3ox4oo&#x → height = 1/2
(oct || cope)
o. o.3o.4o. | 6 * | 4 8 0 0 | 4 4 8 8 0 0 0 | 1 4 4 8 2 0 0 0 | 4 1 2 0
.o .o3.o4.o | * 24 | 0 2 1 4 | 0 2 1 4 4 2 2 | 0 1 4 2 2 2 2 1 | 2 2 1 1
---------------+------+-------------+---------------------+---------------------+--------
.. x. .. .. | 2 0 | 12 * * * | 2 0 2 0 0 0 0 | 1 1 0 4 0 0 0 0 | 2 0 2 0
oo oo3oo4oo&#x | 1 1 | * 48 * * | 0 1 1 2 0 0 0 | 0 1 2 2 1 0 0 0 | 2 1 1 0
.x .. .. .. | 0 2 | * * 12 * | 0 2 0 0 4 0 0 | 0 1 4 0 0 2 2 0 | 2 2 0 1
.. .. .x .. | 0 2 | * * * 48 | 0 0 0 1 1 1 1 | 0 0 1 1 1 1 1 1 | 1 1 1 1
---------------+------+-------------+---------------------+---------------------+--------
.. x.3o. .. | 3 0 | 3 0 0 0 | 8 * * * * * * | 1 0 0 2 0 0 0 0 | 1 0 2 0
ox .. .. ..&#x | 1 2 | 0 2 1 0 | * 24 * * * * * | 0 1 2 0 0 0 0 0 | 2 1 0 0
.. xo .. ..&#x | 2 1 | 1 2 0 0 | * * 24 * * * * | 0 1 0 2 0 0 0 0 | 2 0 1 0
.. .. ox ..&#x | 1 2 | 0 2 0 1 | * * * 48 * * * | 0 0 1 1 1 0 0 0 | 1 1 1 0
.x .. .x .. | 0 4 | 0 0 2 2 | * * * * 24 * * | 0 0 1 0 0 1 1 0 | 1 1 0 1
.. .o3.x .. | 0 3 | 0 0 0 3 | * * * * * 16 * | 0 0 0 1 0 1 0 1 | 1 0 1 1
.. .. .x4.o | 0 4 | 0 0 0 4 | * * * * * * 12 | 0 0 0 0 1 0 1 1 | 0 1 1 1
---------------+------+-------------+---------------------+---------------------+--------
.. x.3o.4o. ♦ 6 0 | 12 0 0 0 | 8 0 0 0 0 0 0 | 1 * * * * * * * | 0 0 2 0
ox xo .. ..&#x ♦ 2 2 | 1 4 1 0 | 0 2 2 0 0 0 0 | * 12 * * * * * * | 2 0 0 0
ox .. ox ..&#x ♦ 1 4 | 0 4 2 2 | 0 2 0 2 1 0 0 | * * 24 * * * * * | 1 1 0 0
.. xo3ox ..&#x ♦ 3 3 | 3 6 0 3 | 1 0 3 3 0 1 0 | * * * 16 * * * * | 1 0 1 0
.. .. ox4oo&#x ♦ 1 4 | 0 4 0 4 | 0 0 0 4 0 0 1 | * * * * 12 * * * | 0 1 1 0
.x .o3.x .. ♦ 0 6 | 0 0 3 6 | 0 0 0 0 3 2 0 | * * * * * 8 * * | 1 0 0 1
.x .. .x4.o ♦ 0 8 | 0 0 4 8 | 0 0 0 0 4 0 2 | * * * * * * 6 * | 0 1 0 1
.. .o3.x4.o ♦ 0 12 | 0 0 0 24 | 0 0 0 0 0 8 6 | * * * * * * * 2 | 0 0 1 1
---------------+------+-------------+---------------------+---------------------+--------
ox xo3ox ..&#x ♦ 3 6 | 3 12 3 6 | 1 6 6 6 3 2 0 | 0 3 3 2 0 1 0 0 | 8 * * *
ox .. ox4oo&#x ♦ 1 8 | 0 8 4 8 | 0 4 0 8 4 0 2 | 0 0 4 0 2 0 1 0 | * 6 * *
.. xo3ox4oo&#x ♦ 6 12 | 12 24 0 24 | 8 0 12 24 0 8 6 | 1 0 0 8 6 0 0 1 | * * 2 *
.x .o3.x4.o ♦ 0 24 | 0 0 12 48 | 0 0 0 0 24 16 12 | 0 0 0 0 0 8 6 2 | * * * 1
ox ox3xo3ox&#x → height = 1/2
(oct || cope)
o. o.3o.3o. | 6 * | 4 8 0 0 0 | 2 2 4 4 8 4 0 0 0 0 0 | 1 2 4 2 4 2 4 0 0 0 0 | 2 1 2 2 0
.o .o3.o3.o | * 24 | 0 2 1 2 2 | 0 0 2 2 1 2 2 2 1 2 1 | 0 2 1 2 1 2 1 1 2 1 1 | 1 2 1 1 1
---------------+------+----------------+------------------------------+---------------------------+----------
.. .. x. .. | 2 0 | 12 * * * * | 1 1 0 0 2 0 0 0 0 0 0 | 1 0 1 0 2 0 2 0 0 0 0 | 1 0 1 2 0
oo oo3oo3oo&#x | 1 1 | * 48 * * * | 0 0 1 1 1 1 0 0 0 0 0 | 0 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0
.x .. .. .. | 0 2 | * * 12 * * | 0 0 2 0 0 0 2 2 0 0 0 | 0 2 1 2 0 0 0 1 2 1 0 | 1 2 1 0 1
.. .x .. .. | 0 2 | * * * 24 * | 0 0 0 1 0 0 1 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 0 1 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 | 4 * * * * * * * * * * | 1 0 0 0 2 0 0 0 0 0 0 | 1 0 0 2 0
.. .. x.3o. | 3 0 | 3 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 2 1 0 0 | * * 24 * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0
.. ox .. ..&#x | 1 2 | 0 2 0 1 0 | * * * 24 * * * * * * * | 0 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0
.. .. xo ..&#x | 2 1 | 1 2 0 0 0 | * * * * 24 * * * * * * | 0 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0
.. .. .. ox&#x | 1 2 | 0 2 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 2 2 0 | * * * * * * 12 * * * * | 0 1 0 0 0 0 0 1 1 0 0 | 0 1 1 0 1
.x .. .. .x | 0 4 | 0 0 2 0 2 | * * * * * * * 12 * * * | 0 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1
.. .x3.o .. | 0 3 | 0 0 0 3 0 | * * * * * * * * 8 * * | 0 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1
.. .x .. .x | 0 4 | 0 0 0 2 2 | * * * * * * * * * 12 * | 0 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1
.. .. .o3.x | 0 3 | 0 0 0 0 3 | * * * * * * * * * * 8 | 0 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1
---------------+------+----------------+------------------------------+---------------------------+----------
.. o.3x.3o. ♦ 6 0 | 12 0 0 0 0 | 4 4 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * | 0 0 0 2 0
ox ox .. ..&#x ♦ 1 4 | 0 4 2 2 0 | 0 0 2 2 0 0 1 0 0 0 0 | * 12 * * * * * * * * * | 1 1 0 0 0
ox .. xo ..&#x ♦ 2 2 | 1 4 1 0 0 | 0 0 2 0 2 0 0 0 0 0 0 | * * 12 * * * * * * * * | 1 0 1 0 0
ox .. .. ox&#x ♦ 1 4 | 0 4 2 0 2 | 0 0 2 0 0 2 0 1 0 0 0 | * * * 12 * * * * * * * | 0 1 1 0 0
.. ox3xo ..&#x ♦ 3 3 | 3 6 0 3 0 | 1 0 0 3 3 0 0 0 1 0 0 | * * * * 8 * * * * * * | 1 0 0 1 0
.. ox .. ox&#x ♦ 1 4 | 0 4 0 2 2 | 0 0 0 2 0 2 0 0 0 1 0 | * * * * * 12 * * * * * | 0 1 0 1 0
.. .. xo3ox&#x ♦ 3 3 | 3 6 0 0 3 | 0 1 0 0 3 3 0 0 0 0 1 | * * * * * * 8 * * * * | 0 0 1 1 0
.x .x3.o .. ♦ 0 6 | 0 0 3 6 0 | 0 0 0 0 0 0 3 0 2 0 0 | * * * * * * * 4 * * * | 1 0 0 0 1
.x .x .. .x ♦ 0 8 | 0 0 4 4 4 | 0 0 0 0 0 0 2 2 0 2 0 | * * * * * * * * 6 * * | 0 1 0 0 1
.x .. .o3.x ♦ 0 6 | 0 0 3 0 6 | 0 0 0 0 0 0 0 3 0 0 2 | * * * * * * * * * 4 * | 0 0 1 0 1
.. .x3.o3.x ♦ 0 12 | 0 0 0 12 12 | 0 0 0 0 0 0 0 0 4 6 4 | * * * * * * * * * * 2 | 0 0 0 1 1
---------------+------+----------------+------------------------------+---------------------------+----------
ox ox3xo ..&#x ♦ 3 6 | 3 12 3 6 0 | 1 0 6 6 6 0 3 0 2 0 0 | 0 3 3 0 2 0 0 1 0 0 0 | 4 * * * *
ox ox .. ox&#x ♦ 1 8 | 0 8 4 4 4 | 0 0 4 4 0 4 2 2 0 2 0 | 0 2 0 2 0 2 0 0 1 0 0 | * 6 * * *
ox .. xo3ox&#x ♦ 3 6 | 3 12 3 0 6 | 0 1 6 0 6 6 0 3 0 0 2 | 0 0 3 3 0 0 2 0 0 1 0 | * * 4 * *
.. ox3xo3ox&#x ♦ 6 12 | 12 24 0 12 12 | 4 4 0 12 12 12 0 0 4 6 4 | 1 0 0 0 4 6 4 0 0 0 1 | * * * 2 *
.x .x3.o3.x ♦ 0 24 | 0 0 12 24 24 | 0 0 0 0 0 0 12 12 8 12 8 | 0 0 0 0 0 0 0 4 6 4 2 | * * * * 1
oxx3xoo3oxx&#x → height(1,2) = height(1,3) = 1/sqrt(2) = 0.707107
height(2,3) = 1
o..3o..3o.. | 6 * * | 4 4 4 0 0 0 0 0 | 2 2 2 4 2 4 2 4 2 0 0 0 0 0 0 0 0 | 1 2 1 2 2 4 2 2 1 2 0 0 0 0 0 | 1 2 1 2 1 0
.o.3.o.3.o. | * 12 * | 0 2 0 2 2 1 0 0 | 0 0 2 1 2 2 0 0 0 1 2 1 2 2 0 0 0 | 0 1 2 1 2 1 2 0 0 0 1 1 2 1 0 | 1 1 2 1 0 1
..o3..o3..o | * * 12 | 0 0 2 0 0 1 2 2 | 0 0 0 0 0 2 2 1 2 0 0 0 2 2 1 2 1 | 0 0 0 0 2 1 2 1 2 1 0 1 2 1 1 | 0 1 2 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 | 1 1 0 1 0 1 0 1 0 1 0 0 0 0 0 | 1 1 0 1 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 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 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 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 0 1 0 0 0 0 0 1 1 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 | * * * * * 12 * * | 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 0 0 | 0 0 0 0 2 1 2 0 0 0 0 1 2 1 0 | 0 1 2 1 0 1
..x ... ... | 0 0 2 | * * * * * * 12 * | 0 0 0 0 0 0 1 0 0 0 0 0 1 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 0 1 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 | 4 * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 | 1 1 0 0 1 0
... x..3o.. | 3 0 0 | 3 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 2 0 1 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
... xo. ...&#x | 2 1 0 | 1 2 0 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
... ... ox.&#x | 1 2 0 | 0 2 0 0 1 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 1 1 0 0 1 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 2 0 0 0 1 0 | * * * * * * 12 * * * * * * * * * * | 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 | 0 1 1 0 1 0
... x.o ...&#x | 2 0 1 | 1 0 2 0 0 0 0 0 | * * * * * * * 12 * * * * * * * * * | 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 | 0 1 0 1 1 0
... ... o.x&#x | 1 0 2 | 0 0 2 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.o. ... | 0 3 0 | 0 0 0 3 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 2 2 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
... .o.3.x. | 0 3 0 | 0 0 0 0 3 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 1 0 2 1 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 1 2 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..o ... | 0 0 3 | 0 0 0 0 0 0 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 2 2 | * * * * * * * * * * * * * * * 6 * | 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 | 0 0 1 0 1 1
... ..o3..x | 0 0 3 | 0 0 0 0 0 0 0 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..3o.. ♦ 6 0 0 | 12 0 0 0 0 0 0 0 | 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * | 1 0 0 0 1 0
ox.3xo. ...&#x ♦ 3 3 0 | 3 6 0 3 0 0 0 0 | 1 0 3 3 0 0 0 0 0 1 0 0 0 0 0 0 0 | * 4 * * * * * * * * * * * * * | 1 1 0 0 0 0
ox. ... ox.&#x ♦ 1 4 0 | 0 4 0 2 2 0 0 0 | 0 0 2 0 2 0 0 0 0 0 1 0 0 0 0 0 0 | * * 6 * * * * * * * * * * * * | 1 0 1 0 0 0
... xo.3ox.&#x ♦ 3 3 0 | 3 6 0 0 3 0 0 0 | 0 1 0 3 3 0 0 0 0 0 0 1 0 0 0 0 0 | * * * 4 * * * * * * * * * * * | 1 0 0 1 0 0
oxx ... ...&#x ♦ 1 2 2 | 0 2 2 1 0 2 1 0 | 0 0 1 0 0 2 1 0 0 0 0 0 1 0 0 0 0 | * * * * 12 * * * * * * * * * * | 0 1 1 0 0 0
... xoo ...&#x ♦ 2 1 1 | 1 2 2 0 0 1 0 0 | 0 0 0 1 0 2 0 1 0 0 0 0 0 0 0 0 0 | * * * * * 12 * * * * * * * * * | 0 1 0 1 0 0
... ... oxx&#x ♦ 1 2 2 | 0 2 2 0 1 2 0 1 | 0 0 0 0 1 2 0 0 1 0 0 0 0 1 0 0 0 | * * * * * * 12 * * * * * * * * | 0 0 1 1 0 0
o.x3x.o ...&#x ♦ 3 0 3 | 3 0 6 0 0 0 3 0 | 1 0 0 0 0 0 3 3 0 0 0 0 0 0 1 0 0 | * * * * * * * 4 * * * * * * * | 0 1 0 0 1 0
o.x ... o.x&#x ♦ 1 0 4 | 0 0 4 0 0 0 2 2 | 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 1 0 | * * * * * * * * 6 * * * * * * | 0 0 1 0 1 0
... x.o3o.x&#x ♦ 3 0 3 | 3 0 6 0 0 0 0 3 | 0 1 0 0 0 0 0 3 3 0 0 0 0 0 0 0 1 | * * * * * * * * * 4 * * * * * | 0 0 0 1 1 0
.x.3.o.3.x. ♦ 0 12 0 | 0 0 0 12 12 0 0 0 | 0 0 0 0 0 0 0 0 0 4 6 4 0 0 0 0 0 | * * * * * * * * * * 1 * * * * | 1 0 0 0 0 1
.xx3.oo ...&#x ♦ 0 3 3 | 0 0 0 3 0 3 3 0 | 0 0 0 0 0 0 0 0 0 1 0 0 3 0 1 0 0 | * * * * * * * * * * * 4 * * * | 0 1 0 0 0 1
.xx ... .xx&#x ♦ 0 4 4 | 0 0 0 2 2 4 2 2 | 0 0 0 0 0 0 0 0 0 0 1 0 2 2 0 1 0 | * * * * * * * * * * * * 6 * * | 0 0 1 0 0 1
... .oo3.xx&#x ♦ 0 3 3 | 0 0 0 0 3 3 0 3 | 0 0 0 0 0 0 0 0 0 0 0 1 0 3 0 0 1 | * * * * * * * * * * * * * 4 * | 0 0 0 1 0 1
..x3..o3..x ♦ 0 0 12 | 0 0 0 0 0 0 12 12 | 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.3xo.3ox.&#x ♦ 6 12 0 | 12 24 0 12 12 0 0 0 | 4 4 12 12 12 0 0 0 0 4 6 4 0 0 0 0 0 | 1 4 6 4 0 0 0 0 0 0 1 0 0 0 0 | 1 * * * * *
oxx3xoo ...&#x ♦ 3 3 3 | 3 6 6 3 0 3 3 0 | 1 0 3 3 0 6 3 3 0 1 0 0 3 0 1 0 0 | 0 1 0 0 3 3 0 1 0 0 0 1 0 0 0 | * 4 * * * *
oxx ... oxx&#x ♦ 1 4 4 | 0 4 4 2 2 4 2 2 | 0 0 2 0 2 4 2 0 2 0 1 0 2 2 0 1 0 | 0 0 1 0 2 0 2 0 1 0 0 0 1 0 0 | * * 6 * * *
... xoo3oxx&#x ♦ 3 3 3 | 3 6 6 0 3 3 0 3 | 0 1 0 3 3 6 0 3 3 0 0 1 0 3 0 0 1 | 0 0 0 1 0 3 3 0 0 1 0 0 0 1 0 | * * * 4 * *
o.x3x.o3o.x&#x ♦ 6 0 12 | 12 0 24 0 0 0 12 12 | 4 4 0 0 0 0 12 12 12 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.oo3.xx&#x ♦ 0 12 12 | 0 0 0 12 12 12 12 12 | 0 0 0 0 0 0 0 0 0 4 6 4 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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