Acronym | squatoe (old: squato) |
Name | square - truncated-octahedron duoprism |
Circumradius | sqrt(3) = 1.732051 |
Volume | 8 sqrt(2) = 11.313708 |
Face vector | 96, 240, 224, 96, 18 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
x4o x3x4o . . . . . | 96 | 2 1 2 | 1 2 4 2 1 | 1 2 4 2 1 | 2 1 2 ----------+----+----------+----------------+---------------+------ x . . . . | 2 | 96 * * | 1 1 2 0 0 | 1 2 2 1 0 | 2 1 1 . . x . . | 2 | * 48 * | 0 2 0 2 0 | 1 0 4 0 1 | 2 0 2 . . . x . | 2 | * * 96 | 0 0 2 1 1 | 0 1 2 2 1 | 1 1 2 ----------+----+----------+----------------+---------------+------ x4o . . . | 4 | 4 0 0 | 24 * * * * | 1 2 0 0 0 | 2 1 0 x . x . . | 4 | 2 2 0 | * 48 * * * | 1 0 2 0 0 | 2 0 1 x . . x . | 4 | 2 0 2 | * * 96 * * | 0 1 1 1 0 | 1 1 1 . . x3x . | 6 | 0 3 3 | * * * 32 * | 0 0 2 0 1 | 1 0 2 . . . x4o | 4 | 0 0 4 | * * * * 24 | 0 0 0 2 1 | 0 1 2 ----------+----+----------+----------------+---------------+------ x4o x . . ♦ 8 | 8 4 0 | 2 4 0 0 0 | 12 * * * * | 2 0 0 x4o . x . ♦ 8 | 8 0 4 | 2 0 4 0 0 | * 24 * * * | 1 1 0 x . x3x . ♦ 12 | 6 6 6 | 0 3 3 2 0 | * * 32 * * | 1 0 1 x . . x4o ♦ 8 | 4 0 8 | 0 0 4 0 2 | * * * 24 * | 0 1 1 . . x3x4o ♦ 24 | 0 12 24 | 0 0 0 8 6 | * * * * 4 | 0 0 2 ----------+----+----------+----------------+---------------+------ x4o x3x . ♦ 24 | 24 12 12 | 6 12 12 4 0 | 3 3 4 0 0 | 8 * * x4o . x4o ♦ 16 | 16 0 16 | 4 0 16 0 4 | 0 4 0 4 0 | * 6 * x . x3x4o ♦ 48 | 24 24 48 | 0 12 24 16 12 | 0 0 8 6 2 | * * 4
x4o x3x3x . . . . . | 96 | 2 1 1 1 | 1 2 2 2 1 1 1 | 1 1 1 2 2 2 1 | 1 1 1 2 ----------+----+-------------+----------------------+---------------------+-------- x . . . . | 2 | 96 * * * | 1 1 1 1 0 0 0 | 1 1 1 1 1 1 0 | 1 1 1 1 . . x . . | 2 | * 48 * * | 0 2 0 0 1 1 0 | 1 0 0 2 2 0 1 | 1 1 0 2 . . . x . | 2 | * * 48 * | 0 0 2 0 1 0 1 | 0 1 0 2 0 2 1 | 1 0 1 2 . . . . x | 2 | * * * 48 | 0 0 0 2 0 1 1 | 0 0 1 0 2 2 1 | 0 1 1 2 ----------+----+-------------+----------------------+---------------------+-------- x4o . . . | 4 | 4 0 0 0 | 24 * * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0 x . x . . | 4 | 2 2 0 0 | * 48 * * * * * | 1 0 0 1 1 0 0 | 1 1 0 1 x . . x . | 4 | 2 0 2 0 | * * 48 * * * * | 0 1 0 1 0 1 0 | 1 0 1 1 x . . . x | 4 | 2 0 0 2 | * * * 48 * * * | 0 0 1 0 1 1 0 | 0 1 1 1 . . x3x . | 6 | 0 3 3 0 | * * * * 16 * * | 0 0 0 2 0 0 1 | 1 0 0 2 . . x . x | 4 | 0 2 0 2 | * * * * * 24 * | 0 0 0 0 2 0 1 | 0 1 0 2 . . . x3x | 6 | 0 0 3 3 | * * * * * * 16 | 0 0 0 0 0 2 1 | 0 0 1 2 ----------+----+-------------+----------------------+---------------------+-------- x4o x . . ♦ 8 | 8 4 0 0 | 2 4 0 0 0 0 0 | 12 * * * * * * | 1 1 0 0 x4o . x . ♦ 8 | 8 0 4 0 | 2 0 4 0 0 0 0 | * 12 * * * * * | 1 0 1 0 x4o . . x ♦ 8 | 8 0 0 4 | 2 0 0 4 0 0 0 | * * 12 * * * * | 0 1 1 0 x . x3x . ♦ 12 | 6 6 6 0 | 0 3 3 0 2 0 0 | * * * 16 * * * | 1 0 0 1 x . x . x ♦ 8 | 4 4 0 4 | 0 2 0 2 0 2 0 | * * * * 24 * * | 0 1 0 1 x . . x3x ♦ 12 | 6 0 6 6 | 0 0 3 3 0 0 2 | * * * * * 16 * | 0 0 1 1 . . x3x3x ♦ 24 | 0 12 12 12 | 0 0 0 0 4 6 4 | * * * * * * 4 | 0 0 0 2 ----------+----+-------------+----------------------+---------------------+-------- x4o x3x . ♦ 24 | 24 12 12 0 | 6 12 12 0 4 0 0 | 3 3 0 4 0 0 0 | 4 * * * x4o x . x ♦ 16 | 16 8 0 8 | 4 8 0 8 0 4 0 | 2 0 2 0 4 0 0 | * 6 * * x4o . x3x ♦ 24 | 24 0 12 12 | 6 0 12 12 0 0 4 | 0 3 3 0 0 4 0 | * * 4 * x . x3x3x ♦ 48 | 24 24 24 24 | 0 12 12 12 8 12 8 | 0 0 0 4 6 4 2 | * * * 4
x x x3x4o . . . . . | 96 | 1 1 1 2 | 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1 ----------+----+-------------+----------------------+---------------------+-------- x . . . . | 2 | 48 * * * | 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0 . x . . . | 2 | * 48 * * | 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1 . . x . . | 2 | * * 48 * | 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1 . . . x . | 2 | * * * 96 | 0 0 1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1 ----------+----+-------------+----------------------+---------------------+-------- x x . . . | 4 | 2 2 0 0 | 24 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0 x . x . . | 4 | 2 0 2 0 | * 24 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0 x . . x . | 4 | 2 0 0 2 | * * 48 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0 . x x . . | 4 | 0 2 2 0 | * * * 24 * * * | 1 0 0 0 2 0 0 | 2 0 0 1 . x . x . | 4 | 0 2 0 2 | * * * * 48 * * | 0 1 0 0 1 1 0 | 1 1 0 1 . . x3x . | 6 | 0 0 3 3 | * * * * * 32 * | 0 0 1 0 1 0 1 | 1 0 1 1 . . . x4o | 4 | 0 0 0 4 | * * * * * * 24 | 0 0 0 1 0 1 1 | 0 1 1 1 ----------+----+-------------+----------------------+---------------------+-------- x x x . . ♦ 8 | 4 4 4 0 | 2 2 0 2 0 0 0 | 12 * * * * * * | 2 0 0 0 x x . x . ♦ 8 | 4 4 0 4 | 2 0 2 0 2 0 0 | * 24 * * * * * | 1 1 0 0 x . x3x . ♦ 12 | 6 0 6 6 | 0 3 3 0 0 2 0 | * * 16 * * * * | 1 0 1 0 x . . x4o ♦ 8 | 4 0 0 8 | 0 0 4 0 0 0 2 | * * * 12 * * * | 0 1 1 0 . x x3x . ♦ 12 | 0 6 6 6 | 0 0 0 3 3 2 0 | * * * * 16 * * | 1 0 0 1 . x . x4o ♦ 8 | 0 4 0 8 | 0 0 0 0 4 0 2 | * * * * * 12 * | 0 1 0 1 . . x3x4o ♦ 24 | 0 0 12 24 | 0 0 0 0 0 8 6 | * * * * * * 4 | 0 0 1 1 ----------+----+-------------+----------------------+---------------------+-------- x x x3x . ♦ 24 | 12 12 12 12 | 6 6 6 6 6 4 0 | 3 3 2 0 2 0 0 | 8 * * * x x . x4o ♦ 16 | 8 8 0 16 | 4 0 8 0 8 0 4 | 0 4 0 2 0 2 0 | * 6 * * x . x3x4o ♦ 48 | 24 0 24 48 | 0 12 24 0 0 16 12 | 0 0 8 6 0 0 2 | * * 2 * . x x3x4o ♦ 48 | 0 24 24 48 | 0 0 0 12 24 16 12 | 0 0 0 0 8 6 2 | * * * 2
x x x3x3x . . . . . | 96 | 1 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1 ----------+----+----------------+-------------------------------+--------------------------+---------- x . . . . | 2 | 48 * * * * | 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 . . . | 2 | * 48 * * * | 1 0 0 0 1 1 1 0 0 0 | 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 1 . . x . . | 2 | * * 48 * * | 0 1 0 0 1 0 0 1 1 0 | 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . . x . | 2 | * * * 48 * | 0 0 1 0 0 1 0 1 0 1 | 0 1 0 1 0 1 1 0 1 1 | 1 0 1 1 1 . . . . x | 2 | * * * * 48 | 0 0 0 1 0 0 1 0 1 1 | 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1 ----------+----+----------------+-------------------------------+--------------------------+---------- x x . . . | 6 | 3 3 0 0 0 | 24 * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 x . x . . | 4 | 2 0 2 0 0 | * 24 * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . x . | 4 | 2 0 0 2 0 | * * 24 * * * * * * * | 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0 x . . . x | 4 | 2 0 0 0 2 | * * * 24 * * * * * * | 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x x . . | 4 | 0 2 2 0 0 | * * * * 24 * * * * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . x . | 4 | 0 2 0 2 0 | * * * * * 24 * * * * | 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1 . x . . x | 4 | 0 2 0 0 2 | * * * * * * 24 * * * | 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x3x . | 6 | 0 0 3 3 0 | * * * * * * * 16 * * | 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . x | 4 | 0 0 2 0 2 | * * * * * * * * 24 * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . x3x | 6 | 0 0 0 3 3 | * * * * * * * * * 16 | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ----------+----+----------------+-------------------------------+--------------------------+---------- x x x . . ♦ 8 | 4 4 4 0 0 | 2 2 0 0 2 0 0 0 0 0 | 12 * * * * * * * * * | 1 1 0 0 0 x x . x . ♦ 8 | 4 4 0 4 0 | 2 0 2 0 0 2 0 0 0 0 | * 12 * * * * * * * * | 1 0 1 0 0 x x . . x ♦ 8 | 4 4 0 0 4 | 2 0 0 2 0 0 2 0 0 0 | * * 12 * * * * * * * | 0 1 1 0 0 x . x3x . ♦ 12 | 6 0 6 6 0 | 0 3 3 0 0 0 0 2 0 0 | * * * 8 * * * * * * | 1 0 0 1 0 x . x . x ♦ 8 | 4 0 4 0 4 | 0 2 0 2 0 0 0 0 2 0 | * * * * 12 * * * * * | 0 1 0 1 0 x . . x3x ♦ 12 | 6 0 0 6 6 | 0 0 3 3 0 0 0 0 0 2 | * * * * * 8 * * * * | 0 0 1 1 0 . x x3x . ♦ 12 | 0 6 6 6 0 | 0 0 0 0 3 3 0 2 0 0 | * * * * * * 8 * * * | 1 0 0 0 1 . x x . x ♦ 8 | 0 4 4 0 4 | 0 0 0 0 2 0 2 0 2 0 | * * * * * * * 12 * * | 0 1 0 0 1 . x . x3x ♦ 12 | 0 6 0 6 6 | 0 0 0 0 0 3 3 0 0 2 | * * * * * * * * 8 * | 0 0 1 0 1 . . x3x3x ♦ 24 | 0 0 12 12 12 | 0 0 0 0 0 0 0 4 6 4 | * * * * * * * * * 4 | 0 0 0 1 1 ----------+----+----------------+-------------------------------+--------------------------+---------- x x x3x . ♦ 24 | 12 12 12 12 0 | 6 6 6 0 6 6 0 4 0 0 | 3 3 0 2 0 0 2 0 0 0 | 4 * * * * x x x . x ♦ 16 | 8 8 8 0 8 | 4 4 0 4 4 0 4 0 4 0 | 2 0 2 0 2 0 0 2 0 0 | * 6 * * * x x . x3x ♦ 24 | 12 12 0 12 12 | 6 0 6 6 0 6 6 0 0 4 | 0 3 3 0 0 2 0 0 2 0 | * * 4 * * x . x3x3x ♦ 48 | 24 0 24 24 24 | 0 12 12 12 0 0 0 8 12 8 | 0 0 0 4 6 4 0 0 0 2 | * * * 2 * . x x3x3x ♦ 48 | 0 24 24 24 24 | 0 0 0 0 12 12 12 8 12 8 | 0 0 0 0 0 0 4 6 4 2 | * * * * 2
xx xx3xx4oo&#x → height = 1
(tope || tope)
o. o.3o.4o. | 48 * | 1 1 2 1 0 0 0 | 1 2 2 1 1 1 2 0 0 0 0 | 2 1 1 1 2 2 1 0 0 0 | 1 2 1 1 0
.o .o3.o4.o | * 48 | 0 0 0 1 1 1 2 | 0 0 0 0 1 1 2 1 2 2 1 | 0 0 0 1 2 2 1 2 1 1 | 0 2 1 1 1
---------------+-------+----------------------+----------------------------------+-------------------------+----------
x. .. .. .. | 2 0 | 24 * * * * * * | 1 2 0 0 1 0 0 0 0 0 0 | 2 1 0 1 2 0 0 0 0 0 | 1 2 1 0 0
.. x. .. .. | 2 0 | * 24 * * * * * | 1 0 2 0 0 1 0 0 0 0 0 | 2 0 1 1 0 2 0 0 0 0 | 1 2 0 1 0
.. .. x. .. | 2 0 | * * 48 * * * * | 0 1 1 1 0 0 1 0 0 0 0 | 1 1 1 0 1 1 1 0 0 0 | 1 1 1 1 0
oo oo3oo4oo&#x | 1 1 | * * * 48 * * * | 0 0 0 0 1 1 2 0 0 0 0 | 0 0 0 1 2 2 1 0 0 0 | 0 2 1 1 0
.x .. .. .. | 0 2 | * * * * 24 * * | 0 0 0 0 1 0 0 1 2 0 0 | 0 0 0 1 2 0 0 2 1 0 | 0 2 1 0 1
.. .x .. .. | 0 2 | * * * * * 24 * | 0 0 0 0 0 1 0 1 0 2 0 | 0 0 0 1 0 2 0 2 0 1 | 0 2 0 1 1
.. .. .x .. | 0 2 | * * * * * * 48 | 0 0 0 0 0 0 1 0 1 1 1 | 0 0 0 0 1 1 1 1 1 1 | 0 1 1 1 1
---------------+-------+----------------------+----------------------------------+-------------------------+----------
x. x. .. .. | 4 0 | 2 2 0 0 0 0 0 | 12 * * * * * * * * * * | 2 0 0 1 0 0 0 0 0 0 | 1 2 0 0 0
x. .. x. .. | 4 0 | 2 0 2 0 0 0 0 | * 24 * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 | 1 1 1 0 0
.. x.3x. .. | 6 0 | 0 3 3 0 0 0 0 | * * 16 * * * * * * * * | 1 0 1 0 0 1 0 0 0 0 | 1 1 0 1 0
.. .. x.4o. | 4 0 | 0 0 4 0 0 0 0 | * * * 12 * * * * * * * | 0 1 1 0 0 0 1 0 0 0 | 1 0 1 1 0
xx .. .. ..&#x | 2 2 | 1 0 0 2 1 0 0 | * * * * 24 * * * * * * | 0 0 0 1 2 0 0 0 0 0 | 0 2 1 0 0
.. xx .. ..&#x | 2 2 | 0 1 0 2 0 1 0 | * * * * * 24 * * * * * | 0 0 0 1 0 2 0 0 0 0 | 0 2 0 1 0
.. .. xx ..&#x | 2 2 | 0 0 1 2 0 0 1 | * * * * * * 48 * * * * | 0 0 0 0 1 1 1 0 0 0 | 0 1 1 1 0
.x .x .. .. | 0 4 | 0 0 0 0 2 2 0 | * * * * * * * 12 * * * | 0 0 0 1 0 0 0 2 0 0 | 0 2 0 0 1
.x .. .x .. | 0 4 | 0 0 0 0 2 0 2 | * * * * * * * * 24 * * | 0 0 0 0 1 0 0 1 1 0 | 0 1 1 0 1
.. .x3.x .. | 0 6 | 0 0 0 0 0 3 3 | * * * * * * * * * 16 * | 0 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1
.. .. .x4.o | 0 4 | 0 0 0 0 0 0 4 | * * * * * * * * * * 12 | 0 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1
---------------+-------+----------------------+----------------------------------+-------------------------+----------
x. x.3x. .. ♦ 12 0 | 6 6 6 0 0 0 0 | 3 3 2 0 0 0 0 0 0 0 0 | 8 * * * * * * * * * | 1 1 0 0 0
x. .. x.4o. ♦ 8 0 | 4 0 8 0 0 0 0 | 0 4 0 2 0 0 0 0 0 0 0 | * 6 * * * * * * * * | 1 0 1 0 0
.. x.3x.4o. ♦ 24 0 | 0 12 24 0 0 0 0 | 0 0 8 6 0 0 0 0 0 0 0 | * * 2 * * * * * * * | 1 0 0 1 0
xx xx .. ..&#x ♦ 4 4 | 2 2 0 4 2 2 0 | 1 0 0 0 2 2 0 1 0 0 0 | * * * 12 * * * * * * | 0 2 0 0 0
xx .. xx ..&#x ♦ 4 4 | 2 0 2 4 2 0 2 | 0 1 0 0 2 0 2 0 1 0 0 | * * * * 24 * * * * * | 0 1 1 0 0
.. xx3xx ..&#x ♦ 6 6 | 0 3 3 6 0 3 3 | 0 0 1 0 0 3 3 0 0 1 0 | * * * * * 16 * * * * | 0 1 0 1 0
.. .. xx4oo&#x ♦ 4 4 | 0 0 4 4 0 0 4 | 0 0 0 1 0 0 4 0 0 0 1 | * * * * * * 12 * * * | 0 0 1 1 0
.x .x3.x .. ♦ 0 12 | 0 0 0 0 6 6 6 | 0 0 0 0 0 0 0 3 3 2 0 | * * * * * * * 8 * * | 0 1 0 0 1
.x .. .x4.o ♦ 0 8 | 0 0 0 0 4 0 8 | 0 0 0 0 0 0 0 0 4 0 2 | * * * * * * * * 6 * | 0 0 1 0 1
.. .x3.x4.o ♦ 0 24 | 0 0 0 0 0 12 24 | 0 0 0 0 0 0 0 0 0 8 6 | * * * * * * * * * 2 | 0 0 0 1 1
---------------+-------+----------------------+----------------------------------+-------------------------+----------
x. x.3x.4o. ♦ 48 0 | 24 24 48 0 0 0 0 | 12 24 16 12 0 0 0 0 0 0 0 | 8 6 2 0 0 0 0 0 0 0 | 1 * * * *
xx xx3xx ..&#x ♦ 12 12 | 6 6 6 12 6 6 6 | 3 3 2 0 6 6 6 3 3 2 0 | 1 0 0 3 3 2 0 1 0 0 | * 8 * * *
xx .. xx4oo&#x ♦ 8 8 | 4 0 8 8 4 0 8 | 0 4 0 2 4 0 8 0 4 0 2 | 0 1 0 0 4 0 2 0 1 0 | * * 6 * *
.. xx3xx4oo&#x ♦ 24 24 | 0 12 24 24 0 12 24 | 0 0 8 6 0 12 24 0 0 8 6 | 0 0 1 0 0 8 6 0 0 1 | * * * 2 *
.x .x3.x4.o ♦ 0 48 | 0 0 0 0 24 24 48 | 0 0 0 0 0 0 0 12 24 16 12 | 0 0 0 0 0 0 0 8 6 2 | * * * * 1
xx xx3xx3xx&#x → height = 1
(tope || tope)
o. o.3o.3o. | 48 * | 1 1 1 1 1 0 0 0 0 | 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 | 1 1 1 1 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 1 0
.o .o3.o3.o | * 48 | 0 0 0 0 1 1 1 1 1 | 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 | 0 0 0 0 1 1 1 1 1 1 1 1 1 1 | 0 1 1 1 1 1
---------------+-------+----------------------------+---------------------------------------------+---------------------------------+------------
x. .. .. .. | 2 0 | 24 * * * * * * * * | 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1 1 1 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 1 0 0
.. x. .. .. | 2 0 | * 24 * * * * * * * | 1 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 | 1 1 0 1 1 0 0 1 1 0 0 0 0 0 | 1 1 1 0 1 0
.. .. x. .. | 2 0 | * * 24 * * * * * * | 0 1 0 1 0 1 0 0 1 0 0 0 0 0 0 0 | 1 0 1 1 0 1 0 1 0 1 0 0 0 0 | 1 1 0 1 1 0
.. .. .. x. | 2 0 | * * * 24 * * * * * | 0 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 | 0 1 1 1 0 0 1 0 1 1 0 0 0 0 | 1 0 1 1 1 0
oo oo3oo3oo&#x | 1 1 | * * * * 48 * * * * | 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 | 0 0 0 0 1 1 1 1 1 1 0 0 0 0 | 0 1 1 1 1 0
.x .. .. .. | 0 2 | * * * * * 24 * * * | 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 | 0 0 0 0 1 1 1 0 0 0 1 1 1 0 | 0 1 1 1 0 1
.. .x .. .. | 0 2 | * * * * * * 24 * * | 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 0 | 0 0 0 0 1 0 0 1 1 0 1 1 0 1 | 0 1 1 0 1 1
.. .. .x .. | 0 2 | * * * * * * * 24 * | 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 | 0 0 0 0 0 1 0 1 0 1 1 0 1 1 | 0 1 0 1 1 1
.. .. .. .x | 0 2 | * * * * * * * * 24 | 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 | 0 0 0 0 0 0 1 0 1 1 0 1 1 1 | 0 0 1 1 1 1
---------------+-------+----------------------------+---------------------------------------------+---------------------------------+------------
x. x. .. .. | 4 0 | 2 2 0 0 0 0 0 0 0 | 12 * * * * * * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
x. .. x. .. | 4 0 | 2 0 2 0 0 0 0 0 0 | * 12 * * * * * * * * * * * * * * | 1 0 1 0 0 1 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0
x. .. .. x. | 4 0 | 2 0 0 2 0 0 0 0 0 | * * 12 * * * * * * * * * * * * * | 0 1 1 0 0 0 1 0 0 0 0 0 0 0 | 1 0 1 1 0 0
.. x.3x. .. | 6 0 | 0 3 3 0 0 0 0 0 0 | * * * 8 * * * * * * * * * * * * | 1 0 0 1 0 0 0 1 0 0 0 0 0 0 | 1 1 0 0 1 0
.. x. .. x. | 4 0 | 0 2 0 2 0 0 0 0 0 | * * * * 12 * * * * * * * * * * * | 0 1 0 1 0 0 0 0 1 0 0 0 0 0 | 1 0 1 0 1 0
.. .. x.3x. | 6 0 | 0 0 3 3 0 0 0 0 0 | * * * * * 8 * * * * * * * * * * | 0 0 1 1 0 0 0 0 0 1 0 0 0 0 | 1 0 0 1 1 0
xx .. .. ..&#x | 2 2 | 1 0 0 0 2 1 0 0 0 | * * * * * * 24 * * * * * * * * * | 0 0 0 0 1 1 1 0 0 0 0 0 0 0 | 0 1 1 1 0 0
.. xx .. ..&#x | 2 2 | 0 1 0 0 2 0 1 0 0 | * * * * * * * 24 * * * * * * * * | 0 0 0 0 1 0 0 1 1 0 0 0 0 0 | 0 1 1 0 1 0
.. .. xx ..&#x | 2 2 | 0 0 1 0 2 0 0 1 0 | * * * * * * * * 24 * * * * * * * | 0 0 0 0 0 1 0 1 0 1 0 0 0 0 | 0 1 0 1 1 0
.. .. .. xx&#x | 2 2 | 0 0 0 1 2 0 0 0 1 | * * * * * * * * * 24 * * * * * * | 0 0 0 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 1 1 0
.x .x .. .. | 0 4 | 0 0 0 0 0 2 2 0 0 | * * * * * * * * * * 12 * * * * * | 0 0 0 0 1 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
.x .. .x .. | 0 4 | 0 0 0 0 0 2 0 2 0 | * * * * * * * * * * * 12 * * * * | 0 0 0 0 0 1 0 0 0 0 1 0 1 0 | 0 1 0 1 0 1
.x .. .. .x | 0 4 | 0 0 0 0 0 2 0 0 2 | * * * * * * * * * * * * 12 * * * | 0 0 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 1 0 1
.. .x3.x .. | 0 6 | 0 0 0 0 0 0 3 3 0 | * * * * * * * * * * * * * 8 * * | 0 0 0 0 0 0 0 1 0 0 1 0 0 1 | 0 1 0 0 1 1
.. .x .. .x | 0 4 | 0 0 0 0 0 0 2 0 2 | * * * * * * * * * * * * * * 12 * | 0 0 0 0 0 0 0 0 1 0 0 1 0 1 | 0 0 1 0 1 1
.. .. .x3.x | 0 6 | 0 0 0 0 0 0 0 3 3 | * * * * * * * * * * * * * * * 8 | 0 0 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1
---------------+-------+----------------------------+---------------------------------------------+---------------------------------+------------
x. x.3x. .. ♦ 12 0 | 6 6 6 0 0 0 0 0 0 | 3 3 0 2 0 0 0 0 0 0 0 0 0 0 0 0 | 4 * * * * * * * * * * * * * | 1 1 0 0 0 0
x. x. .. x. ♦ 8 0 | 4 4 0 4 0 0 0 0 0 | 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 | * 6 * * * * * * * * * * * * | 1 0 1 0 0 0
x. .. x.3x. ♦ 12 0 | 6 0 6 6 0 0 0 0 0 | 0 3 3 0 0 2 0 0 0 0 0 0 0 0 0 0 | * * 4 * * * * * * * * * * * | 1 0 0 1 0 0
.. x.3x.3x. ♦ 24 0 | 0 12 12 12 0 0 0 0 0 | 0 0 0 4 6 4 0 0 0 0 0 0 0 0 0 0 | * * * 2 * * * * * * * * * * | 1 0 0 0 1 0
xx xx .. ..&#x ♦ 4 4 | 2 2 0 0 4 2 2 0 0 | 1 0 0 0 0 0 2 2 0 0 1 0 0 0 0 0 | * * * * 12 * * * * * * * * * | 0 1 1 0 0 0
xx .. xx ..&#x ♦ 4 4 | 2 0 2 0 4 2 0 2 0 | 0 1 0 0 0 0 2 0 2 0 0 1 0 0 0 0 | * * * * * 12 * * * * * * * * | 0 1 0 1 0 0
xx .. .. xx&#x ♦ 4 4 | 2 0 0 2 4 2 0 0 2 | 0 0 1 0 0 0 2 0 0 2 0 0 1 0 0 0 | * * * * * * 12 * * * * * * * | 0 0 1 1 0 0
.. xx3xx ..&#x ♦ 6 6 | 0 3 3 0 6 0 3 3 0 | 0 0 0 1 0 0 0 3 3 0 0 0 0 1 0 0 | * * * * * * * 8 * * * * * * | 0 1 0 0 1 0
.. xx .. xx&#x ♦ 4 4 | 0 2 0 2 4 0 2 0 2 | 0 0 0 0 1 0 0 2 0 2 0 0 0 0 1 0 | * * * * * * * * 12 * * * * * | 0 0 1 0 1 0
.. .. xx3xx&#x ♦ 6 6 | 0 0 3 3 6 0 0 3 3 | 0 0 0 0 0 1 0 0 3 3 0 0 0 0 0 1 | * * * * * * * * * 8 * * * * | 0 0 0 1 1 0
.x .x3.x .. ♦ 0 12 | 0 0 0 0 0 6 6 6 0 | 0 0 0 0 0 0 0 0 0 0 3 3 0 2 0 0 | * * * * * * * * * * 4 * * * | 0 1 0 0 0 1
.x .x .. .x ♦ 0 8 | 0 0 0 0 0 4 4 0 4 | 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 | * * * * * * * * * * * 6 * * | 0 0 1 0 0 1
.x .. .x3.x ♦ 0 12 | 0 0 0 0 0 6 0 6 6 | 0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 2 | * * * * * * * * * * * * 4 * | 0 0 0 1 0 1
.. .x3.x3.x ♦ 0 24 | 0 0 0 0 0 0 12 12 12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 4 | * * * * * * * * * * * * * 2 | 0 0 0 0 1 1
---------------+-------+----------------------------+---------------------------------------------+---------------------------------+------------
x. x.3x.3x. ♦ 48 0 | 24 24 24 24 0 0 0 0 0 | 12 12 12 8 12 8 0 0 0 0 0 0 0 0 0 0 | 4 6 4 2 0 0 0 0 0 0 0 0 0 0 | 1 * * * * *
xx xx3xx ..&#x ♦ 12 12 | 6 6 6 0 12 6 6 6 0 | 3 3 0 2 0 0 6 6 6 0 3 3 0 2 0 0 | 1 0 0 0 3 3 0 2 0 0 1 0 0 0 | * 4 * * * *
xx xx .. xx&#x ♦ 8 8 | 4 4 0 4 8 4 4 0 4 | 2 0 2 0 2 0 4 4 0 4 2 0 2 0 2 0 | 0 1 0 0 2 0 2 0 2 0 0 1 0 0 | * * 6 * * *
xx .. xx3xx&#x ♦ 12 12 | 6 0 6 6 12 6 0 6 6 | 0 3 3 0 0 2 6 0 6 6 0 3 3 0 0 2 | 0 0 1 0 0 3 3 0 0 2 0 0 1 0 | * * * 4 * *
.. xx3xx3xx&#x ♦ 24 24 | 0 12 12 12 24 0 12 12 12 | 0 0 0 4 6 4 0 12 12 12 0 0 0 4 6 4 | 0 0 0 1 0 0 0 4 6 4 0 0 0 1 | * * * * 2 *
.x .x3.x3.x ♦ 0 48 | 0 0 0 0 0 24 24 24 24 | 0 0 0 0 0 0 0 0 0 0 12 12 12 8 12 8 | 0 0 0 0 0 0 0 0 0 0 4 6 4 2 | * * * * * 1
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