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Acronym
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ricope
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Name
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rectified-icositetrachoron prism
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Circumradius
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sqrt(13)/2 = 1.802776
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Lace city
in approx. ASCII-art
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o3x x x3x x x3o x
x3x x u3x x x3u x x3x x
x3o x x3u x oH3Ho xx u3x x o3x x
x3x x u3x x x3u x x3x x
o3x x x3x x x3o x
|
x4o x o4q x x4o x
x4o x u4o x x4q x u4o x x4o x
o4q x x4q x x4q x o4q x
x4o x u4o x x4q x u4o x x4o x
x4o x o4q x x4o x
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Coordinates
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(sqrt(2), 1/sqrt(2), 1/sqrt(2), 0, 1/2) & all permutations in all but last coord., all changes of sign
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Face vector
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192, 672, 768, 336, 50
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Confer
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- segmentotera:
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copatope
- general polytopal classes:
-
Wythoffian polytera
segmentotera
lace simplices
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External
links
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Incidence matrix according to Dynkin symbol
x o3x4o3o
. . . . . | 192 | 1 6 | 6 3 6 | 3 6 3 2 | 3 2 1
----------+-----+--------+-------------+--------------+--------
x . . . . | 2 | 96 * ♦ 6 0 0 | 3 6 0 0 | 3 2 0
. . x . . | 2 | * 576 | 1 1 2 | 1 2 2 1 | 2 1 1
----------+-----+--------+-------------+--------------+--------
x . x . . | 4 | 2 2 | 288 * * | 1 2 0 0 | 2 1 0
. o3x . . | 3 | 0 3 | * 192 * | 1 0 2 0 | 2 0 1
. . x4o . | 4 | 0 4 | * * 288 | 0 1 1 1 | 1 1 1
----------+-----+--------+-------------+--------------+--------
x o3x . . ♦ 6 | 3 6 | 3 2 0 | 96 * * * | 2 0 0
x . x4o . ♦ 8 | 4 8 | 4 0 2 | * 144 * * | 1 1 0
. o3x4o . ♦ 12 | 0 24 | 0 8 6 | * * 48 * | 1 0 1
. . x4o3o ♦ 8 | 0 12 | 0 0 6 | * * * 48 | 0 1 1
----------+-----+--------+-------------+--------------+--------
x o3x4o . ♦ 24 | 12 48 | 24 16 12 | 8 6 2 0 | 24 * *
x . x4o3o ♦ 16 | 8 24 | 12 0 12 | 0 6 0 2 | * 24 *
. o3x4o3o ♦ 96 | 0 288 | 0 96 144 | 0 0 24 24 | * * 2
x x3o3x4o
. . . . . | 192 | 1 2 4 | 2 4 1 4 2 2 | 1 4 2 2 2 2 1 | 2 2 1 1
----------+-----+------------+----------------------+----------------------+----------
x . . . . | 2 | 96 * * ♦ 2 4 0 0 0 0 | 1 4 2 2 0 0 0 | 2 2 1 0
. x . . . | 2 | * 192 * | 1 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1
. . . x . | 2 | * * 384 | 0 1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1
----------+-----+------------+----------------------+----------------------+----------
x x . . . | 4 | 2 2 0 | 96 * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0
x . . x . | 4 | 2 0 2 | * 192 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0
. x3o . . | 3 | 0 3 0 | * * 64 * * * | 1 0 0 0 2 0 0 | 2 0 0 1
. x . x . | 4 | 0 2 2 | * * * 192 * * | 0 1 0 0 1 1 0 | 1 1 0 1
. . o3x . | 3 | 0 0 3 | * * * * 128 * | 0 0 1 0 1 0 1 | 1 0 1 1
. . . x4o | 4 | 0 0 4 | * * * * * 96 | 0 0 0 1 0 1 1 | 0 1 1 1
----------+-----+------------+----------------------+----------------------+----------
x x3o . . ♦ 6 | 3 6 0 | 3 0 2 0 0 0 | 32 * * * * * * | 2 0 0 0
x x . x . ♦ 8 | 4 4 4 | 2 2 0 2 0 0 | * 96 * * * * * | 1 1 0 0
x . o3x . ♦ 6 | 3 0 6 | 0 3 0 0 2 0 | * * 64 * * * * | 1 0 1 0
x . . x4o ♦ 8 | 4 0 8 | 0 4 0 0 0 2 | * * * 48 * * * | 0 1 1 0
. x3o3x . ♦ 12 | 0 12 12 | 0 0 4 6 4 0 | * * * * 32 * * | 1 0 0 1
. x . x4o ♦ 8 | 0 4 8 | 0 0 0 4 0 2 | * * * * * 48 * | 0 1 0 1
. . o3x4o ♦ 12 | 0 0 24 | 0 0 0 0 8 6 | * * * * * * 16 | 0 0 1 1
----------+-----+------------+----------------------+----------------------+----------
x x3o3x . ♦ 24 | 12 24 24 | 12 12 8 12 8 0 | 4 6 4 0 2 0 0 | 16 * * *
x x . x4o ♦ 16 | 8 8 16 | 4 8 0 8 0 4 | 0 4 0 2 0 2 0 | * 24 * *
x . o3x4o ♦ 24 | 12 0 48 | 0 24 0 0 16 12 | 0 0 8 6 0 0 2 | * * 8 *
. x3o3x4o ♦ 96 | 0 96 192 | 0 0 32 96 64 48 | 0 0 0 0 16 24 8 | * * * 2
x x3o3x *c3x
. . . . . | 192 | 1 2 2 2 | 2 2 2 1 2 2 1 1 2 | 1 2 2 1 1 2 1 1 2 1 | 1 1 2 1 1
-------------+-----+----------------+----------------------------+-------------------------------+-----------
x . . . . | 2 | 96 * * * ♦ 2 2 2 0 0 0 0 0 0 | 1 2 2 1 1 2 0 0 0 0 | 1 1 2 1 0
. x . . . | 2 | * 192 * * | 1 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 | * * 192 * | 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 | * * * 192 | 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 . . . | 4 | 2 2 0 0 | 96 * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0
x . . x . | 4 | 2 0 2 0 | * 96 * * * * * * * | 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0
x . . . x | 4 | 2 0 0 2 | * * 96 * * * * * * | 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0
. x3o . . | 3 | 0 3 0 0 | * * * 64 * * * * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1
. x . x . | 4 | 0 2 2 0 | * * * * 96 * * * * | 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1
. x . . x | 4 | 0 2 0 2 | * * * * * 96 * * * | 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1
. . o3x . | 3 | 0 0 3 0 | * * * * * * 64 * * | 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1
. . o . *c3x | 3 | 0 0 0 3 | * * * * * * * 64 * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1
. . . x x | 4 | 0 0 2 2 | * * * * * * * * 96 | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1
-------------+-----+----------------+----------------------------+-------------------------------+-----------
x x3o . . ♦ 6 | 3 6 0 0 | 3 0 0 2 0 0 0 0 0 | 32 * * * * * * * * * | 1 1 0 0 0
x x . x . ♦ 8 | 4 4 4 0 | 2 2 0 0 2 0 0 0 0 | * 48 * * * * * * * * | 1 0 1 0 0
x x . . x ♦ 8 | 4 4 0 4 | 2 0 2 0 0 2 0 0 0 | * * 48 * * * * * * * | 0 1 1 0 0
x . o3x . ♦ 6 | 3 0 6 0 | 0 3 0 0 0 0 2 0 0 | * * * 32 * * * * * * | 1 0 0 1 0
x . o . *c3x ♦ 6 | 3 0 0 6 | 0 0 3 0 0 0 0 2 0 | * * * * 32 * * * * * | 0 1 0 1 0
x . . x x ♦ 8 | 4 0 4 4 | 0 2 2 0 0 0 0 0 2 | * * * * * 48 * * * * | 0 0 1 1 0
. x3o3x . ♦ 12 | 0 12 12 0 | 0 0 0 4 6 0 4 0 0 | * * * * * * 16 * * * | 1 0 0 0 1
. x3o . *c3x ♦ 12 | 0 12 0 12 | 0 0 0 4 0 6 0 4 0 | * * * * * * * 16 * * | 0 1 0 0 1
. x . x x ♦ 8 | 0 4 4 4 | 0 0 0 0 2 2 0 0 2 | * * * * * * * * 48 * | 0 0 1 0 1
. . o3x *c3x ♦ 12 | 0 0 12 12 | 0 0 0 0 0 0 4 4 6 | * * * * * * * * * 16 | 0 0 0 1 1
-------------+-----+----------------+----------------------------+-------------------------------+-----------
x x3o3x . ♦ 24 | 12 24 24 0 | 12 12 0 8 12 0 8 0 0 | 4 6 0 4 0 0 2 0 0 0 | 8 * * * *
x x3o . *c3x ♦ 24 | 12 24 0 24 | 12 0 12 8 0 12 0 8 0 | 4 0 6 0 4 0 0 2 0 0 | * 8 * * *
x x . x x ♦ 16 | 8 8 8 8 | 4 4 4 0 4 4 0 0 4 | 0 2 2 0 0 2 0 0 2 0 | * * 24 * *
x . o3x *c3x ♦ 24 | 12 0 24 24 | 0 12 12 0 0 0 8 8 12 | 0 0 0 4 4 6 0 0 0 2 | * * * 8 *
. x3o3x *c3x ♦ 96 | 0 96 96 96 | 0 0 0 32 48 48 32 32 48 | 0 0 0 0 0 0 8 8 24 8 | * * * * 2
oo3xx4oo3oo&#x → height = 1
(rico || rico)
o.3o.4o.3o. | 96 * | 6 1 0 | 3 6 6 0 0 | 3 2 3 6 0 0 | 1 3 2 0
.o3.o4.o3.o | * 96 | 0 1 6 | 0 0 6 3 6 | 0 0 3 6 3 2 | 0 3 2 1
---------------+-------+------------+-------------------+--------------------+----------
.. x. .. .. | 2 0 | 288 * * | 1 2 1 0 0 | 2 1 1 2 0 0 | 1 2 1 0
oo3oo4oo3oo&#x | 1 1 | * 96 * ♦ 0 0 6 0 0 | 0 0 3 6 0 0 | 0 3 2 0
.. .x .. .. | 0 2 | * * 288 | 0 0 1 1 2 | 0 0 1 2 2 1 | 0 2 1 1
---------------+-------+------------+-------------------+--------------------+----------
o.3x. .. .. | 3 0 | 3 0 0 | 96 * * * * | 2 0 1 0 0 0 | 1 2 0 0
.. x.4o. .. | 4 0 | 4 0 0 | * 144 * * * | 1 1 0 1 0 0 | 1 1 1 0
.. xx .. ..&#x | 2 2 | 1 2 1 | * * 288 * * | 0 0 1 2 0 0 | 0 2 1 0
.o3.x .. .. | 0 3 | 0 0 3 | * * * 96 * | 0 0 1 0 2 0 | 0 2 0 1
.. .x4.o .. | 0 4 | 0 0 4 | * * * * 144 | 0 0 0 1 1 1 | 0 1 1 1
---------------+-------+------------+-------------------+--------------------+----------
o.3x.4o. .. ♦ 12 0 | 24 0 0 | 8 6 0 0 0 | 24 * * * * * | 1 1 0 0
.. x.4o.3o. ♦ 8 0 | 12 0 0 | 0 6 0 0 0 | * 24 * * * * | 1 0 1 0
oo3xx .. ..&#x ♦ 3 3 | 3 3 3 | 1 0 3 1 0 | * * 96 * * * | 0 2 0 0
.. xx4oo ..&#x ♦ 4 4 | 4 4 4 | 0 1 4 0 1 | * * * 144 * * | 0 1 1 0
.o3.x4.o .. ♦ 0 12 | 0 0 24 | 0 0 0 8 6 | * * * * 24 * | 0 1 0 1
.. .x4.o3.o ♦ 0 8 | 0 0 12 | 0 0 0 0 6 | * * * * * 24 | 0 0 1 1
---------------+-------+------------+-------------------+--------------------+----------
o.3x.4o.3o. ♦ 96 0 | 288 0 0 | 96 144 0 0 0 | 24 24 0 0 0 0 | 1 * * *
oo3xx4oo ..&#x ♦ 12 12 | 24 12 24 | 8 6 24 8 6 | 1 0 8 6 1 0 | * 24 * *
.. xx4oo3oo&#x ♦ 8 8 | 12 8 12 | 0 6 12 0 6 | 0 1 0 6 0 1 | * * 24 *
.o3.x4.o3.o ♦ 0 96 | 0 0 288 | 0 0 0 96 144 | 0 0 0 0 24 24 | * * * 1
xx3oo3xx4oo&#x → height = 1
(rico || rico)
o.3o.3o.4o. | 96 * | 2 4 1 0 0 | 1 4 2 2 2 4 0 0 0 0 | 2 2 1 1 4 2 2 0 0 0 | 1 2 2 1 0
.o3.o3.o4.o | * 96 | 0 0 1 2 4 | 0 0 0 0 2 4 1 4 2 2 | 0 0 0 1 4 2 2 2 2 1 | 0 2 2 1 1
---------------+-------+------------------+--------------------------------+-----------------------------+------------
x. .. .. .. | 2 0 | 96 * * * * | 1 2 0 0 1 0 0 0 0 0 | 2 1 0 1 2 0 0 0 0 0 | 1 2 1 0 0
.. .. x. .. | 2 0 | * 192 * * * | 0 1 1 1 0 1 0 0 0 0 | 1 1 1 0 1 1 1 0 0 0 | 1 1 1 1 0
oo3oo3oo4oo&#x | 1 1 | * * 96 * * ♦ 0 0 0 0 2 4 0 0 0 0 | 0 0 0 1 4 2 2 0 0 0 | 0 2 2 1 0
.x .. .. .. | 0 2 | * * * 96 * | 0 0 0 0 1 0 1 2 0 0 | 0 0 0 1 2 0 0 2 1 0 | 0 2 1 0 1
.. .. .x .. | 0 2 | * * * * 192 | 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.3o. .. .. | 3 0 | 3 0 0 0 0 | 32 * * * * * * * * * | 2 0 0 1 0 0 0 0 0 0 | 1 2 0 0 0
x. .. x. .. | 4 0 | 2 2 0 0 0 | * 96 * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 | 1 1 1 0 0
.. o.3x. .. | 3 0 | 0 3 0 0 0 | * * 64 * * * * * * * | 1 0 1 0 0 1 0 0 0 0 | 1 1 0 1 0
.. .. x.4o. | 4 0 | 0 4 0 0 0 | * * * 48 * * * * * * | 0 1 1 0 0 0 1 0 0 0 | 1 0 1 1 0
xx .. .. ..&#x | 2 2 | 1 0 2 1 0 | * * * * 96 * * * * * | 0 0 0 1 2 0 0 0 0 0 | 0 2 1 0 0
.. .. xx ..&#x | 2 2 | 0 1 2 0 1 | * * * * * 192 * * * * | 0 0 0 0 1 1 1 0 0 0 | 0 1 1 1 0
.x3.o .. .. | 0 3 | 0 0 0 3 0 | * * * * * * 32 * * * | 0 0 0 1 0 0 0 2 0 0 | 0 2 0 0 1
.x .. .x .. | 0 4 | 0 0 0 2 2 | * * * * * * * 96 * * | 0 0 0 0 1 0 0 1 1 0 | 0 1 1 0 1
.. .o3.x .. | 0 3 | 0 0 0 0 3 | * * * * * * * * 64 * | 0 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1
.. .. .x4.o | 0 4 | 0 0 0 0 4 | * * * * * * * * * 48 | 0 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1
---------------+-------+------------------+--------------------------------+-----------------------------+------------
x.3o.3x. .. ♦ 12 0 | 12 12 0 0 0 | 4 6 4 0 0 0 0 0 0 0 | 16 * * * * * * * * * | 1 1 0 0 0
x. .. x.4o. ♦ 8 0 | 4 8 0 0 0 | 0 4 0 2 0 0 0 0 0 0 | * 24 * * * * * * * * | 1 0 1 0 0
.. o.3x.4o. ♦ 12 0 | 0 24 0 0 0 | 0 0 8 6 0 0 0 0 0 0 | * * 8 * * * * * * * | 1 0 0 1 0
xx3oo .. ..&#x ♦ 3 3 | 3 0 3 3 0 | 1 0 0 0 3 0 1 0 0 0 | * * * 32 * * * * * * | 0 2 0 0 0
xx .. xx ..&#x ♦ 4 4 | 2 2 4 2 2 | 0 1 0 0 2 2 0 1 0 0 | * * * * 96 * * * * * | 0 1 1 0 0
.. oo3xx ..&#x ♦ 3 3 | 0 3 3 0 3 | 0 0 1 0 0 3 0 0 1 0 | * * * * * 64 * * * * | 0 1 0 1 0
.. .. xx4oo&#x ♦ 4 4 | 0 4 4 0 4 | 0 0 0 1 0 4 0 0 0 1 | * * * * * * 48 * * * | 0 0 1 1 0
.x3.o3.x .. ♦ 0 12 | 0 0 0 12 12 | 0 0 0 0 0 0 4 6 4 0 | * * * * * * * 16 * * | 0 1 0 0 1
.x .. .x4.o ♦ 0 8 | 0 0 0 4 8 | 0 0 0 0 0 0 0 4 0 2 | * * * * * * * * 24 * | 0 0 1 0 1
.. .o3.x4.o ♦ 0 12 | 0 0 0 0 24 | 0 0 0 0 0 0 0 0 8 6 | * * * * * * * * * 8 | 0 0 0 1 1
---------------+-------+------------------+--------------------------------+-----------------------------+------------
x.3o.3x.4o. ♦ 96 0 | 96 192 0 0 0 | 32 96 64 48 0 0 0 0 0 0 | 16 24 8 0 0 0 0 0 0 0 | 1 * * * *
xx3oo3xx ..&#x ♦ 12 12 | 12 12 12 12 12 | 4 6 4 0 12 12 4 6 4 0 | 1 0 0 4 6 4 0 1 0 0 | * 16 * * *
xx .. xx4oo&#x ♦ 8 8 | 4 8 8 4 8 | 0 4 0 2 4 8 0 4 0 2 | 0 1 0 0 4 0 2 0 1 0 | * * 24 * *
.. oo3xx4oo&#x ♦ 12 12 | 0 24 12 0 24 | 0 0 8 6 0 24 0 0 8 6 | 0 0 1 0 0 8 6 0 0 1 | * * * 8 *
.x3.o3.x4.o ♦ 0 96 | 0 0 0 96 192 | 0 0 0 0 0 0 36 96 64 48 | 0 0 0 0 0 0 0 16 24 8 | * * * * 1
xx3oo3xx *b3xx&#x → height = 1
(rico || rico)
o.3o.3o. *b3o. | 96 * | 2 2 2 1 0 0 0 | 1 2 2 1 1 2 2 2 2 0 0 0 0 0 0 | 1 1 2 1 1 2 2 1 1 2 0 0 0 0 | 1 1 1 2 1 0
.o3.o3.o *b3.o | * 96 | 0 0 0 1 2 2 2 | 0 0 0 0 0 0 2 2 2 1 2 2 1 1 2 | 0 0 0 0 1 2 2 1 1 2 1 1 2 1 | 0 1 1 2 1 1
------------------+-------+----------------------+----------------------------------------------+-------------------------------------+-------------
x. .. .. .. | 2 0 | 96 * * * * * * | 1 1 1 0 0 0 1 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 | * 96 * * * * * | 0 1 0 1 0 1 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 | * * 96 * * * * | 0 0 1 0 1 1 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
oo3oo3oo *b3oo&#x | 1 1 | * * * 96 * * * ♦ 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 | 0 0 0 0 1 1 1 1 1 1 0 0 0 0 | 0 1 1 2 1 0
.x .. .. .. | 0 2 | * * * * 96 * * | 0 0 0 0 0 0 1 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 | * * * * * 96 * | 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 | * * * * * * 96 | 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.3o. .. .. | 3 0 | 3 0 0 0 0 0 0 | 32 * * * * * * * * * * * * * * | 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 2 0 0 0 0 0 | * 48 * * * * * * * * * * * * * | 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 2 0 0 0 0 | * * 48 * * * * * * * * * * * * | 0 1 1 0 0 0 1 0 0 0 0 0 0 0 | 1 0 1 1 0 0
.. o.3x. .. | 3 0 | 0 3 0 0 0 0 0 | * * * 32 * * * * * * * * * * * | 1 0 0 1 0 0 0 1 0 0 0 0 0 0 | 1 1 0 0 1 0
.. o. .. *b3x. | 3 0 | 0 0 3 0 0 0 0 | * * * * 32 * * * * * * * * * * | 0 1 0 1 0 0 0 0 1 0 0 0 0 0 | 1 0 1 0 1 0
.. .. x. x. | 4 0 | 0 2 2 0 0 0 0 | * * * * * 48 * * * * * * * * * | 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 2 1 0 0 | * * * * * * 96 * * * * * * * * | 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 2 0 1 0 | * * * * * * * 96 * * * * * * * | 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 1 2 0 0 1 | * * * * * * * * 96 * * * * * * | 0 0 0 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 1 1 0
.x3.o .. .. | 0 3 | 0 0 0 0 3 0 0 | * * * * * * * * * 32 * * * * * | 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 2 2 0 | * * * * * * * * * * 48 * * * * | 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 2 0 2 | * * * * * * * * * * * 48 * * * | 0 0 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 1 0 1
.. .o3.x .. | 0 3 | 0 0 0 0 0 3 0 | * * * * * * * * * * * * 32 * * | 0 0 0 0 0 0 0 1 0 0 1 0 0 1 | 0 1 0 0 1 1
.. .o .. *b3.x | 0 3 | 0 0 0 0 0 0 3 | * * * * * * * * * * * * * 32 * | 0 0 0 0 0 0 0 0 1 0 0 1 0 1 | 0 0 1 0 1 1
.. .. .x .x | 0 4 | 0 0 0 0 0 2 2 | * * * * * * * * * * * * * * 48 | 0 0 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1
------------------+-------+----------------------+----------------------------------------------+-------------------------------------+-------------
x.3o.3x. .. ♦ 12 0 | 12 12 0 0 0 0 0 | 4 6 0 4 0 0 0 0 0 0 0 0 0 0 0 | 8 * * * * * * * * * * * * * | 1 1 0 0 0 0
x.3o. .. *b3x. ♦ 12 0 | 12 0 12 0 0 0 0 | 4 0 6 0 4 0 0 0 0 0 0 0 0 0 0 | * 8 * * * * * * * * * * * * | 1 0 1 0 0 0
x. .. x. x. ♦ 8 0 | 4 4 4 0 0 0 0 | 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 | * * 24 * * * * * * * * * * * | 1 0 0 1 0 0
.. o.3x. *b3x. ♦ 12 0 | 0 12 12 0 0 0 0 | 0 0 0 4 4 6 0 0 0 0 0 0 0 0 0 | * * * 8 * * * * * * * * * * | 1 0 0 0 1 0
xx3oo .. ..&#x ♦ 3 3 | 3 0 0 3 3 0 0 | 1 0 0 0 0 0 3 0 0 1 0 0 0 0 0 | * * * * 32 * * * * * * * * * | 0 1 1 0 0 0
xx .. xx ..&#x ♦ 4 4 | 2 2 0 4 2 2 0 | 0 1 0 0 0 0 2 2 0 0 1 0 0 0 0 | * * * * * 48 * * * * * * * * | 0 1 0 1 0 0
xx .. .. xx&#x ♦ 4 4 | 2 0 2 4 2 0 2 | 0 0 1 0 0 0 2 0 2 0 0 1 0 0 0 | * * * * * * 48 * * * * * * * | 0 0 1 1 0 0
.. oo3xx ..&#x ♦ 3 3 | 0 3 0 3 0 3 0 | 0 0 0 1 0 0 0 3 0 0 0 0 1 0 0 | * * * * * * * 32 * * * * * * | 0 1 0 0 1 0
.. oo .. *b3xx&#x ♦ 3 3 | 0 0 3 3 0 0 3 | 0 0 0 0 1 0 0 0 3 0 0 0 0 1 0 | * * * * * * * * 32 * * * * * | 0 0 1 0 1 0
.. .. xx xx&#x ♦ 4 4 | 0 2 2 4 0 2 2 | 0 0 0 0 0 1 0 2 2 0 0 0 0 0 1 | * * * * * * * * * 48 * * * * | 0 0 0 1 1 0
.x3.o3.x .. ♦ 0 12 | 0 0 0 0 12 12 0 | 0 0 0 0 0 0 0 0 0 4 6 0 4 0 0 | * * * * * * * * * * 8 * * * | 0 1 0 0 0 1
.x3.o .. *b3.x ♦ 0 12 | 0 0 0 0 12 0 12 | 0 0 0 0 0 0 0 0 0 4 0 6 0 4 0 | * * * * * * * * * * * 8 * * | 0 0 1 0 0 1
.x .. .x .x ♦ 0 8 | 0 0 0 0 4 4 4 | 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 | * * * * * * * * * * * * 24 * | 0 0 0 1 0 1
.. .o3.x *b3.x ♦ 0 12 | 0 0 0 0 0 12 12 | 0 0 0 0 0 0 0 0 0 0 0 0 4 4 6 | * * * * * * * * * * * * * 8 | 0 0 0 0 1 1
------------------+-------+----------------------+----------------------------------------------+-------------------------------------+-------------
x.3o.3x. *b3x. ♦ 96 0 | 96 96 96 0 0 0 0 | 32 48 48 32 32 48 0 0 0 0 0 0 0 0 0 | 8 8 24 8 0 0 0 0 0 0 0 0 0 0 | 1 * * * * *
xx3oo3xx ..&#x ♦ 12 12 | 12 12 0 12 12 12 0 | 4 6 0 4 0 0 12 12 0 4 6 0 4 0 0 | 1 0 0 0 4 6 0 4 0 0 1 0 0 0 | * 8 * * * *
xx3oo .. *b3xx&#x ♦ 12 12 | 12 0 12 12 12 0 12 | 4 0 6 0 4 0 12 0 12 4 0 6 0 4 0 | 0 1 0 0 4 0 6 0 4 0 0 1 0 0 | * * 8 * * *
xx .. xx xx&#x ♦ 8 8 | 4 4 4 8 4 4 4 | 0 2 2 0 0 2 4 4 4 0 2 2 0 0 2 | 0 0 1 0 0 2 2 0 0 2 0 0 1 0 | * * * 24 * *
.. oo3xx *b3xx&#x ♦ 12 12 | 0 12 12 12 0 12 12 | 0 0 0 4 4 6 0 12 12 0 0 0 4 4 6 | 0 0 0 1 0 0 0 4 4 6 0 0 0 1 | * * * * 8 *
.x3.o3.x *b3.x ♦ 0 96 | 0 0 0 0 96 96 96 | 0 0 0 0 0 0 0 0 0 32 48 48 32 32 48 | 0 0 0 0 0 0 0 0 0 0 8 8 24 8 | * * * * * 1