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Acronym
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brag (old: dric)
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Name
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birectified hexacontitetrapeton,
Voronoi cell of lattice D6*
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Circumradius
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sqrt(3/2) = 1.224745
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Inradius
wrt. dot
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sqrt(3)/2 = 0.866025
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Inradius
wrt. rat
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1/sqrt(2) = 0.707107
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Lace city
in approx. ASCII-art
|
 ©
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h i h - o3x3o3o4o (rat)
i r i - o3o3x3o4o (nit)
h i h - o3x3o3o4o (rat)
where:
h - x3o3o4o (hex)
i - o3x3o4o (ico)
r - o3o3x4o (rit)
|
|
R ß r - o3x3o3o4o (rat)
r s S R - o3o3x3o4o (nit)
R ß r - o3x3o3o4o (rat)
\ \ \ +-- o3o3x3o3o (dot)
\ \ +----- x3o3o3x3o (spix)
\ +-------- o3x3o3o3x (inv spix)
+----------- o3o3x3o3o (dot)
where:
r - o3x3o3o (rap)
R - o3o3x3o (inv rap)
s - x3o3x3o (srip)
S - o3x3o3x (inv srip)
ß - x3o3o3x (spid)
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Coordinates
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(1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0, 0, 0) & all permutations, all changes of sign
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Volume
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4
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Surface
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(54 sqrt(2)+44 sqrt(3))/5 = 30.515554
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Dihedral angles
(at margins)
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- at rap between dot and dot: arccos(-2/3) = 131.810315°
- at rap between dot and rat: arccos[-1/sqrt(6)] = 114.094843°
- at hex between rat and rat: 90°
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Face vector
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160, 1440, 2880, 2160, 636, 76
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Confer
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- related segmentopeta:
-
dottaspix
ratanit
spixa
- related scaliform:
-
hidbrag
- ambification:
-
siborg
- general polytopal classes:
-
Wythoffian polypeta
lace simplices
- analogs:
-
birectified orthoplex brOn
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External
links
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Incidence matrix according to Dynkin symbol
o3o3x3o3o4o
. . . . . . | 160 ♦ 18 | 18 36 | 6 36 24 | 12 24 3 | 8 3
------------+-----+------+----------+-------------+------------+------
. . x . . . | 2 | 1440 | 2 4 | 1 8 4 | 4 8 1 | 4 2
------------+-----+------+----------+-------------+------------+------
. o3x . . . | 3 | 3 | 960 * | 1 4 0 | 4 4 0 | 4 1
. . x3o . . | 3 | 3 | * 1920 | 0 2 2 | 1 4 1 | 2 2
------------+-----+------+----------+-------------+------------+------
o3o3x . . . ♦ 4 | 6 | 4 0 | 240 * * | 4 0 0 | 4 0
. o3x3o . . ♦ 6 | 12 | 4 4 | * 960 * | 1 2 0 | 2 1
. . x3o3o . ♦ 4 | 6 | 0 4 | * * 960 | 0 2 1 | 1 2
------------+-----+------+----------+-------------+------------+------
o3o3x3o . . ♦ 10 | 30 | 20 10 | 5 5 0 | 192 * * | 2 0
. o3x3o3o . ♦ 10 | 30 | 10 20 | 0 5 5 | * 384 * | 1 1
. . x3o3o4o ♦ 8 | 24 | 0 32 | 0 0 16 | * * 60 | 0 2
------------+-----+------+----------+-------------+------------+------
o3o3x3o3o . ♦ 20 | 90 | 60 60 | 15 30 15 | 6 6 0 | 64 *
. o3x3o3o4o ♦ 40 | 240 | 80 320 | 0 80 160 | 0 32 10 | * 12
o3o3x3o3o4/3o
. . . . . . | 160 ♦ 18 | 18 36 | 6 36 24 | 12 24 3 | 8 3
--------------+-----+------+----------+-------------+------------+------
. . x . . . | 2 | 1440 | 2 4 | 1 8 4 | 4 8 1 | 4 2
--------------+-----+------+----------+-------------+------------+------
. o3x . . . | 3 | 3 | 960 * | 1 4 0 | 4 4 0 | 4 1
. . x3o . . | 3 | 3 | * 1920 | 0 2 2 | 1 4 1 | 2 2
--------------+-----+------+----------+-------------+------------+------
o3o3x . . . ♦ 4 | 6 | 4 0 | 240 * * | 4 0 0 | 4 0
. o3x3o . . ♦ 6 | 12 | 4 4 | * 960 * | 1 2 0 | 2 1
. . x3o3o . ♦ 4 | 6 | 0 4 | * * 960 | 0 2 1 | 1 2
--------------+-----+------+----------+-------------+------------+------
o3o3x3o . . ♦ 10 | 30 | 20 10 | 5 5 0 | 192 * * | 2 0
. o3x3o3o . ♦ 10 | 30 | 10 20 | 0 5 5 | * 384 * | 1 1
. . x3o3o4/3o ♦ 8 | 24 | 0 32 | 0 0 16 | * * 60 | 0 2
--------------+-----+------+----------+-------------+------------+------
o3o3x3o3o . ♦ 20 | 90 | 60 60 | 15 30 15 | 6 6 0 | 64 *
. o3x3o3o4/3o ♦ 40 | 240 | 80 320 | 0 80 160 | 0 32 10 | * 12
o3o3o *b3x3o3o
. . . . . . | 160 ♦ 18 | 36 18 | 12 12 36 6 | 3 12 12 12 | 3 4 4
---------------+-----+------+----------+-----------------+----------------+---------
. . . x . . | 2 | 1440 | 4 2 | 2 2 8 1 | 1 4 4 4 | 2 2 2
---------------+-----+------+----------+-----------------+----------------+---------
. o . *b3x . . | 3 | 3 | 1920 * | 1 1 2 0 | 1 2 2 1 | 2 1 1
. . . x3o . | 3 | 3 | * 960 | 0 0 4 1 | 0 2 2 4 | 1 2 2
---------------+-----+------+----------+-----------------+----------------+---------
o3o . *b3x . . ♦ 4 | 6 | 4 0 | 480 * * * | 1 2 0 0 | 2 1 0
. o3o *b3x . . ♦ 4 | 6 | 4 0 | * 480 * * | 1 0 2 0 | 2 0 1
. o . *b3x3o . ♦ 6 | 12 | 4 4 | * * 960 * | 0 1 1 1 | 1 1 1
. . . x3o3o ♦ 4 | 6 | 0 4 | * * * 240 | 0 0 0 4 | 0 2 2
---------------+-----+------+----------+-----------------+----------------+---------
o3o3o *b3x . . ♦ 8 | 24 | 32 0 | 8 8 0 0 | 60 * * * | 2 0 0
o3o . *b3x3o . ♦ 10 | 30 | 20 10 | 5 0 5 0 | * 192 * * | 1 1 0
. o3o *b3x3o . ♦ 10 | 30 | 20 10 | 0 5 5 0 | * * 192 * | 1 0 1
. o . *b3x3o3o ♦ 10 | 30 | 10 20 | 0 0 5 5 | * * * 192 | 0 1 1
---------------+-----+------+----------+-----------------+----------------+---------
o3o3o *b3x3o . ♦ 40 | 240 | 320 80 | 80 80 80 0 | 10 16 16 0 | 12 * *
o3o . *b3x3o3o ♦ 20 | 90 | 60 60 | 15 0 30 15 | 0 6 0 6 | * 32 *
. o3o *b3x3o3o ♦ 20 | 90 | 60 60 | 0 15 30 15 | 0 0 6 6 | * * 32
ooo3xox3oxo3ooo4ooo&#xt → both heights = 1/sqrt(2) = 0.707107
(rat || pseudo nit || rat)
o..3o..3o..3o..4o.. & | 80 * ♦ 12 6 0 | 6 24 12 12 0 0 | 12 16 6 24 8 0 0 | 8 2 12 16 1 0 | 1 8 2
.o.3.o.3.o.3.o.4.o. | * 80 ♦ 0 6 12 | 0 0 6 24 12 12 | 0 0 2 24 24 4 12 | 0 0 8 24 3 4 | 0 8 3
--------------------------+-------+-------------+-------------------------+----------------------------+---------------------+--------
... x.. ... ... ... & | 2 0 | 480 * * | 1 4 1 0 0 0 | 4 4 1 4 0 0 0 | 4 1 4 4 0 0 | 1 4 1
oo.3oo.3oo.3oo.4oo.&#x & | 1 1 | * 480 * | 0 0 2 4 0 0 | 0 0 1 8 4 0 0 | 0 0 4 8 1 0 | 0 4 2
... ... .x. ... ... | 0 2 | * * 480 | 0 0 0 2 2 2 | 0 0 0 4 4 1 4 | 0 0 2 8 1 2 | 0 4 2
--------------------------+-------+-------------+-------------------------+----------------------------+---------------------+--------
o..3x.. ... ... ... & | 3 0 | 3 0 0 | 160 * * * * * | 4 0 1 0 0 0 0 | 4 0 4 0 0 0 | 1 4 0
... x..3o.. ... ... & | 3 0 | 3 0 0 | * 640 * * * * | 1 2 0 1 0 0 0 | 2 1 1 2 0 0 | 1 2 1
... xo. ... ... ...&#x & | 2 1 | 1 2 0 | * * 480 * * * | 0 0 1 4 0 0 0 | 0 0 4 4 0 0 | 0 4 1
... ... ox. ... ...&#x & | 1 2 | 0 2 1 | * * * 960 * * | 0 0 0 2 2 0 0 | 0 0 1 4 1 0 | 0 2 2
... .o.3.x. ... ... | 0 3 | 0 0 3 | * * * * 320 * | 0 0 0 2 0 1 2 | 0 0 2 4 0 2 | 0 4 1
... ... .x.3.o. ... | 0 3 | 0 0 3 | * * * * * 320 | 0 0 0 0 2 0 2 | 0 0 0 4 1 1 | 0 2 2
--------------------------+-------+-------------+-------------------------+----------------------------+---------------------+--------
o..3x..3o.. ... ... & ♦ 6 0 | 12 0 0 | 4 4 0 0 0 0 | 160 * * * * * * | 2 0 1 0 0 0 | 1 2 0
... x..3o..3o.. ... & ♦ 4 0 | 6 0 0 | 0 4 0 0 0 0 | * 320 * * * * * | 1 1 0 1 0 0 | 1 1 1
oo.3xo. ... ... ...&#x & ♦ 3 1 | 3 3 0 | 1 0 3 0 0 0 | * * 160 * * * * | 0 0 4 0 0 0 | 0 4 0
... xo.3ox. ... ...&#x & ♦ 3 3 | 3 6 3 | 0 1 3 3 1 0 | * * * 640 * * * | 0 0 1 2 0 0 | 0 2 1
... ... ox.3oo. ...&#x & ♦ 1 3 | 0 3 3 | 0 0 0 3 0 1 | * * * * 640 * * | 0 0 0 2 1 0 | 0 1 2
.o.3.o.3.x. ... ... ♦ 0 4 | 0 0 6 | 0 0 0 0 4 0 | * * * * * 80 * | 0 0 2 0 0 2 | 0 4 0
... .o.3.x.3.o. ... ♦ 0 6 | 0 0 12 | 0 0 0 0 4 4 | * * * * * * 160 | 0 0 0 2 0 1 | 0 2 1
--------------------------+-------+-------------+-------------------------+----------------------------+---------------------+--------
o..3x..3o..3o.. ... & ♦ 10 0 | 30 0 0 | 10 20 0 0 0 0 | 5 5 0 0 0 0 0 | 64 * * * * * | 1 1 0
... x..3o..3o..4o.. & ♦ 8 0 | 24 0 0 | 0 32 0 0 0 0 | 0 16 0 0 0 0 0 | * 20 * * * * | 1 0 1
oo.3xo.3ox. ... ...&#x & ♦ 6 4 | 12 12 6 | 4 4 12 6 4 0 | 1 0 4 4 0 1 0 | * * 160 * * * | 0 2 0
... xo.3ox.3oo. ...&#x & ♦ 4 6 | 6 12 12 | 0 4 6 12 4 4 | 0 1 0 4 4 0 1 | * * * 320 * * | 0 1 1
... ... oxo3ooo4ooo&#xt ♦ 2 6 | 0 12 12 | 0 0 0 24 0 8 | 0 0 0 0 16 0 0 | * * * * 40 * | 0 0 2
.o.3.o.3.x.3.o. ... ♦ 0 10 | 0 0 30 | 0 0 0 0 20 10 | 0 0 0 0 0 5 5 | * * * * * 32 | 0 2 0
--------------------------+-------+-------------+-------------------------+----------------------------+---------------------+--------
o..3x..3o..3o..4o.. & ♦ 40 0 | 240 0 0 | 80 320 0 0 0 0 | 80 160 0 0 0 0 0 | 32 10 0 0 0 0 | 2 * *
oo.3xo.3ox.3oo. ...&#x & ♦ 10 10 | 30 30 30 | 10 20 30 30 20 10 | 5 5 10 20 10 5 5 | 1 0 5 5 0 1 | * 64 *
... xox3oxo3ooo4ooo&#xt ♦ 16 24 | 48 96 96 | 0 64 48 192 32 64 | 0 32 0 64 128 0 16 | 0 2 0 32 8 0 | * * 10
ooo3oxo3ooo *b3xox3ooo&#xt → both heights = 1/sqrt(2) = 0.707107
(rat || pseudo nit || rat)
o..3o..3o.. *b3o..3o.. & | 80 * ♦ 12 6 0 | 24 6 12 12 0 0 0 | 8 8 12 4 4 24 6 0 0 0 | 2 4 4 1 8 8 12 0 0 | 1 2 4 4
.o.3.o.3.o. *b3.o.3.o. | * 80 ♦ 0 6 12 | 0 0 24 6 6 6 12 | 0 0 0 12 12 24 2 6 6 4 | 0 0 0 3 12 12 8 2 2 | 0 3 4 4
-----------------------------+-------+-------------+-----------------------------+--------------------------------------+-------------------------------+-----------
... ... ... x.. ... & | 2 0 | 480 * * | 4 1 0 1 0 0 0 | 2 2 4 0 0 4 1 0 0 0 | 1 2 2 0 2 2 4 0 0 | 1 1 2 2
oo.3oo.3oo. *b3oo.3oo.&#x & | 1 1 | * 480 * | 0 0 4 2 0 0 0 | 0 0 0 2 2 8 1 0 0 0 | 0 0 0 1 4 4 4 0 0 | 0 2 2 2
... .x. ... ... ... | 0 2 | * * 480 | 0 0 2 0 1 1 2 | 0 0 0 2 2 4 0 2 2 1 | 0 0 0 1 4 4 2 1 1 | 0 2 2 2
-----------------------------+-------+-------------+-----------------------------+--------------------------------------+-------------------------------+-----------
... o.. ... *b3x.. ... & | 3 0 | 3 0 0 | 640 * * * * * * | 1 1 1 0 0 1 0 0 0 0 | 1 1 1 0 1 1 1 0 0 | 1 1 1 1
... ... ... x..3o.. & | 3 0 | 3 0 0 | * 160 * * * * * | 0 0 4 0 0 0 1 0 0 0 | 0 2 2 0 0 0 4 0 0 | 1 0 2 2
... ox. ... ... ...&#x & | 1 2 | 0 2 1 | * * 960 * * * * | 0 0 0 1 1 2 0 0 0 0 | 0 0 0 1 2 2 1 0 0 | 0 2 1 1
... ... ... xo. ...&#x & | 2 1 | 1 2 0 | * * * 480 * * * | 0 0 0 0 0 4 1 0 0 0 | 0 0 0 0 2 2 4 0 0 | 0 1 2 2
.o.3.x. ... ... ... | 0 3 | 0 0 3 | * * * * 160 * * | 0 0 0 2 0 0 0 2 0 0 | 0 0 0 1 4 0 0 1 0 | 0 2 2 0
... .x.3.o. ... ... | 0 3 | 0 0 3 | * * * * * 160 * | 0 0 0 0 2 0 0 0 2 0 | 0 0 0 1 0 4 0 0 1 | 0 2 0 2
... .x. ... *b3.o. ... | 0 3 | 0 0 3 | * * * * * * 320 | 0 0 0 0 0 2 0 1 1 1 | 0 0 0 0 2 2 2 1 1 | 0 1 2 2
-----------------------------+-------+-------------+-----------------------------+--------------------------------------+-------------------------------+-----------
o..3o.. ... *b3x.. ... & ♦ 4 0 | 6 0 0 | 4 0 0 0 0 0 0 | 160 * * * * * * * * * | 1 1 0 0 1 0 0 0 0 | 1 1 1 0
... o..3o.. *b3x.. ... & ♦ 4 0 | 6 0 0 | 4 0 0 0 0 0 0 | * 160 * * * * * * * * | 1 0 1 0 0 1 0 0 0 | 1 1 0 1
... o.. ... *b3x..3o.. & ♦ 6 0 | 12 0 0 | 4 4 0 0 0 0 0 | * * 160 * * * * * * * | 0 1 1 0 0 0 1 0 0 | 1 0 1 1
oo.3ox. ... ... ...&#x & ♦ 1 3 | 0 3 3 | 0 0 3 0 1 0 0 | * * * 320 * * * * * * | 0 0 0 1 2 0 0 0 0 | 0 2 1 0
... ox.3oo ... ...&#x & ♦ 1 3 | 0 3 3 | 0 0 3 0 0 1 0 | * * * * 320 * * * * * | 0 0 0 1 0 2 0 0 0 | 0 2 0 1
... ox. ... *b3xo. ...&#x & ♦ 3 3 | 3 6 3 | 1 0 3 3 0 0 1 | * * * * * 640 * * * * | 0 0 0 0 1 1 1 0 0 | 0 1 1 1
... ... ... xo.3oo.&#x & ♦ 3 1 | 3 3 0 | 0 1 0 3 0 0 0 | * * * * * * 160 * * * | 0 0 0 0 0 0 4 0 0 | 0 0 2 2
.o.3.x. ... *b3.o. ... ♦ 0 6 | 0 0 12 | 0 0 0 0 4 0 4 | * * * * * * * 80 * * | 0 0 0 0 2 0 0 1 0 | 0 1 2 0
... .x.3.o. *b3.o. ... ♦ 0 6 | 0 0 12 | 0 0 0 0 0 4 4 | * * * * * * * * 80 * | 0 0 0 0 0 2 0 0 1 | 0 1 0 2
... .x. ... *b3.o.3.o. ♦ 0 4 | 0 0 6 | 0 0 0 0 0 0 4 | * * * * * * * * * 80 | 0 0 0 0 0 0 2 1 1 | 0 0 2 2
-----------------------------+-------+-------------+-----------------------------+--------------------------------------+-------------------------------+-----------
o..3o..3o.. *b3x.. ... & ♦ 8 0 | 24 0 0 | 32 0 0 0 0 0 0 | 8 8 0 0 0 0 0 0 0 0 | 20 * * * * * * * * | 1 1 0 0
o..3o.. ... *b3x..3o.. & ♦ 10 0 | 30 0 0 | 20 10 0 0 0 0 0 | 5 0 5 0 0 0 0 0 0 0 | * 32 * * * * * * * | 1 0 1 0
... o..3o.. *b3x..3o.. & ♦ 10 0 | 30 0 0 | 20 10 0 0 0 0 0 | 0 5 5 0 0 0 0 0 0 0 | * * 32 * * * * * * | 1 0 0 1
ooo3oxo3ooo ... ...&#xt ♦ 2 6 | 0 12 12 | 0 0 24 0 4 4 0 | 0 0 0 8 8 0 0 0 0 0 | * * * 40 * * * * * | 0 2 0 0
oo.3ox. ... *b3xo. ...&#x & ♦ 4 6 | 6 12 12 | 4 0 12 6 4 0 4 | 1 0 0 4 0 4 0 1 0 0 | * * * * 160 * * * * | 0 1 1 0
... ox.3oo. *b3xo. ...&#x & ♦ 4 6 | 6 12 12 | 4 0 12 6 0 4 4 | 0 1 0 0 4 4 0 0 1 0 | * * * * * 160 * * * | 0 1 0 1
... ox. ... *b3xo.3oo.&#x & ♦ 6 4 | 12 12 6 | 4 4 6 12 0 0 4 | 0 0 1 0 0 4 4 0 0 1 | * * * * * * 160 * * | 0 0 1 1
.o.3.x. ... *b3.o.3.o. ♦ 0 10 | 0 0 30 | 0 0 0 0 10 0 20 | 0 0 0 0 0 0 0 5 0 5 | * * * * * * * 16 * | 0 0 2 0
... .x.3.o. *b3.o.3.o. ♦ 0 10 | 0 0 30 | 0 0 0 0 0 10 20 | 0 0 0 0 0 0 0 0 5 5 | * * * * * * * * 16 | 0 0 0 2
-----------------------------+-------+-------------+-----------------------------+--------------------------------------+-------------------------------+-----------
o..3o..3o.. *b3x..3o.. & ♦ 40 0 | 240 0 0 | 320 80 0 0 0 0 0 | 80 80 80 0 0 0 0 0 0 0 | 10 16 16 0 0 0 0 0 0 | 2 * * *
ooo3oxo3ooo *b3xox ...&#xt ♦ 16 24 | 48 96 96 | 64 0 192 48 32 32 32 | 16 16 0 64 64 64 0 8 8 0 | 2 0 0 8 16 16 0 0 0 | * 10 * *
oo.3ox. ... *b3xo.3oo.&#x & ♦ 10 10 | 30 30 30 | 20 10 30 30 10 0 20 | 5 0 5 10 0 20 10 5 0 5 | 0 1 0 0 5 0 5 1 0 | * * 32 *
... ox.3oo. *b3xo.3oo.&#x & ♦ 10 10 | 30 30 30 | 20 10 30 30 0 10 20 | 0 5 5 0 10 20 10 0 5 5 | 0 0 1 0 0 5 5 0 1 | * * * 32
oxoo3ooxo3xoox3oxoo3ooxo&#xt → all heights = 1/sqrt(3) = 0.577350
(dot || pseudo spix || inv pseudo spix || dot)
o...3o...3o...3o...3o... & | 40 * ♦ 9 9 0 0 0 | 9 9 9 18 9 0 0 0 0 0 | 3 9 3 3 9 9 18 3 9 0 0 0 0 0 0 0 | 3 3 3 9 6 3 9 3 0 6 3 | 1 3 3 3 1
.o..3.o..3.o..3.o..3.o.. & | * 120 ♦ 0 3 3 6 6 | 0 0 6 3 6 3 6 3 9 18 | 0 0 0 3 3 1 6 3 15 1 2 3 12 3 8 6 | 0 0 1 2 3 9 7 9 1 3 1 | 0 1 3 4 3
-------------------------------+--------+---------------------+-----------------------------------------+----------------------------------------------------------+-------------------------------------+--------------
.... .... x... .... .... & | 2 0 | 180 * * * * | 2 2 0 2 0 0 0 0 0 0 | 1 4 1 0 1 2 4 0 0 0 0 0 0 0 0 0 | 2 2 1 4 2 0 2 0 0 0 0 | 1 2 2 1 0
oo..3oo..3oo..3oo..3oo..&#x & | 1 1 | * 360 * * * | 0 0 2 2 2 0 0 0 0 0 | 0 0 0 1 2 1 4 1 4 0 0 0 0 0 0 0 | 0 0 1 2 2 2 4 2 0 0 0 | 0 1 2 2 1
.x.. .... .... .... .... & | 0 2 | * * 180 * * | 0 0 2 0 0 2 0 0 2 0 | 0 0 0 2 1 0 0 0 4 1 0 0 4 1 0 0 | 0 0 1 0 0 4 2 4 0 2 0 | 0 0 2 2 2
.... .... .... .x.. .... & | 0 2 | * * * 360 * | 0 0 0 0 1 0 2 1 0 2 | 0 0 0 0 0 0 2 1 2 0 1 2 2 0 2 1 | 0 0 0 1 2 2 2 2 1 2 1 | 0 1 2 2 1
.oo.3.oo.3.oo.3.oo.3.oo.&#x | 0 2 | * * * * 360 | 0 0 0 0 0 0 0 0 2 4 | 0 0 0 0 0 0 0 0 4 0 0 0 4 1 2 2 | 0 0 0 0 0 4 2 4 0 2 1 | 0 0 2 2 2
-------------------------------+--------+---------------------+-----------------------------------------+----------------------------------------------------------+-------------------------------------+--------------
.... o...3x... .... .... & | 3 0 | 3 0 0 0 0 | 120 * * * * * * * * * | 1 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 2 1 1 2 0 0 0 0 0 0 0 | 1 1 2 0 0
.... .... x...3o... .... & | 3 0 | 3 0 0 0 0 | * 120 * * * * * * * * | 0 2 1 0 0 0 2 0 0 0 0 0 0 0 0 0 | 1 2 0 2 2 0 1 0 0 0 0 | 1 2 1 1 0
ox.. .... .... .... ....&#x & | 1 2 | 0 2 1 0 0 | * * 360 * * * * * * * | 0 0 0 1 1 0 0 0 2 0 0 0 0 0 0 0 | 0 0 1 0 0 2 2 1 0 0 0 | 0 0 2 1 1
.... .... xo.. .... ....&#x & | 2 1 | 1 2 0 0 0 | * * * 360 * * * * * * | 0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 | 0 0 1 2 1 0 2 0 0 0 0 | 0 1 2 1 0
.... .... .... ox.. ....&#x & | 1 2 | 0 2 0 1 0 | * * * * 360 * * * * * | 0 0 0 0 0 0 2 1 2 0 0 0 0 0 0 0 | 0 0 0 1 2 1 2 2 0 0 0 | 0 1 1 2 1
.x..3.o.. .... .... .... & | 0 3 | 0 0 3 0 0 | * * * * * 120 * * * * | 0 0 0 1 0 0 0 0 0 1 0 0 2 0 0 0 | 0 0 1 0 0 2 0 1 0 2 0 | 0 0 2 1 1
.... .... .o..3.x.. .... & | 0 3 | 0 0 0 3 0 | * * * * * * 240 * * * | 0 0 0 0 0 0 1 0 0 0 1 1 0 0 1 0 | 0 0 0 1 1 0 1 0 1 1 1 | 0 1 2 1 0
.... .... .... .x..3.o.. & | 0 3 | 0 0 0 3 0 | * * * * * * * 120 * * | 0 0 0 0 0 0 0 1 0 0 0 2 2 0 0 0 | 0 0 0 0 2 1 0 2 1 2 0 | 0 1 1 2 1
.xo. .... .... .... ....&#x & | 0 3 | 0 0 1 0 2 | * * * * * * * * 360 * | 0 0 0 0 0 0 0 0 2 0 0 0 2 1 0 0 | 0 0 0 0 0 2 1 4 0 1 0 | 0 0 1 2 2
.... .ox. .... .... ....&#x & | 0 3 | 0 0 0 1 2 | * * * * * * * * * 720 | 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 | 0 0 0 0 0 2 1 1 0 1 1 | 0 0 2 1 1
-------------------------------+--------+---------------------+-----------------------------------------+----------------------------------------------------------+-------------------------------------+--------------
o...3o...3x... .... .... & ♦ 4 0 | 6 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 | 30 * * * * * * * * * * * * * * * | 2 0 1 0 0 0 0 0 0 0 0 | 1 0 2 0 0
.... o...3x...3o... .... & ♦ 6 0 | 12 0 0 0 0 | 4 4 0 0 0 0 0 0 0 0 | * 60 * * * * * * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 | 1 1 1 0 0
.... .... x...3o...3o... & ♦ 4 0 | 6 0 0 0 0 | 0 4 0 0 0 0 0 0 0 0 | * * 30 * * * * * * * * * * * * * | 0 2 0 0 2 0 0 0 0 0 0 | 1 2 0 1 0
ox..3oo.. .... .... ....&#x & ♦ 1 3 | 0 3 3 0 0 | 0 0 3 0 0 1 0 0 0 0 | * * * 120 * * * * * * * * * * * * | 0 0 1 0 0 2 0 0 0 0 0 | 0 0 2 0 1
ox.. .... xo.. .... ....&#x & ♦ 2 2 | 1 4 1 0 0 | 0 0 2 2 0 0 0 0 0 0 | * * * * 180 * * * * * * * * * * * | 0 0 1 0 0 0 2 0 0 0 0 | 0 0 2 1 0
.... oo..3xo.. .... ....&#x & ♦ 3 1 | 3 3 0 0 0 | 1 0 0 3 0 0 0 0 0 0 | * * * * * 120 * * * * * * * * * * | 0 0 1 2 0 0 0 0 0 0 0 | 0 1 2 0 0
.... .... xo..3ox.. ....&#x & ♦ 3 3 | 3 6 0 3 0 | 0 1 0 3 3 0 1 0 0 0 | * * * * * * 240 * * * * * * * * * | 0 0 0 1 1 0 1 0 0 0 0 | 0 1 1 1 0
.... .... .... ox..3oo..&#x & ♦ 1 3 | 0 3 0 3 0 | 0 0 0 0 3 0 0 1 0 0 | * * * * * * * 120 * * * * * * * * | 0 0 0 0 2 0 0 2 0 0 0 | 0 1 0 2 1
oxo. .... .... oxo. ....&#xt & ♦ 1 5 | 0 4 2 2 4 | 0 0 2 0 2 0 0 0 2 2 | * * * * * * * * 360 * * * * * * * | 0 0 0 0 0 1 1 1 0 0 0 | 0 0 1 1 1
.x..3.o..3.o.. .... .... & ♦ 0 4 | 0 0 6 0 0 | 0 0 0 0 0 4 0 0 0 0 | * * * * * * * * * 30 * * * * * * | 0 0 1 0 0 0 0 0 0 2 0 | 0 0 2 1 0
.... .o..3.o..3.x.. .... & ♦ 0 4 | 0 0 0 6 0 | 0 0 0 0 0 0 4 0 0 0 | * * * * * * * * * * 60 * * * * * | 0 0 0 1 0 0 0 0 1 0 1 | 0 1 2 0 0
.... .... .o..3.x..3.o.. & ♦ 0 6 | 0 0 0 12 0 | 0 0 0 0 0 0 4 4 0 0 | * * * * * * * * * * * 60 * * * * | 0 0 0 0 1 0 0 0 1 1 0 | 0 1 1 1 0
.xo.3.ox. .... .... ....&#x & ♦ 0 6 | 0 0 3 3 6 | 0 0 0 0 0 1 0 1 3 3 | * * * * * * * * * * * * 240 * * * | 0 0 0 0 0 1 0 1 0 1 0 | 0 0 1 1 1
.xo. .... .... .... .ox.&#x ♦ 0 4 | 0 0 2 0 4 | 0 0 0 0 0 0 0 0 4 0 | * * * * * * * * * * * * * 90 * * | 0 0 0 0 0 0 0 4 0 0 0 | 0 0 0 2 2
.... .ox.3.oo. .... ....&#x & ♦ 0 4 | 0 0 0 3 3 | 0 0 0 0 0 0 1 0 0 3 | * * * * * * * * * * * * * * 240 * | 0 0 0 0 0 0 1 0 0 1 1 | 0 0 2 1 0
.... .ox. .... .xo. ....&#x ♦ 0 4 | 0 0 0 2 4 | 0 0 0 0 0 0 0 0 0 4 | * * * * * * * * * * * * * * * 180 | 0 0 0 0 0 2 0 0 0 0 1 | 0 0 2 0 1
-------------------------------+--------+---------------------+-----------------------------------------+----------------------------------------------------------+-------------------------------------+--------------
o...3o...3x...3o... .... & ♦ 10 0 | 30 0 0 0 0 | 20 10 0 0 0 0 0 0 0 0 | 5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12 * * * * * * * * * * | 1 0 1 0 0
.... o...3x...3o...3o... & ♦ 10 0 | 30 0 0 0 0 | 10 20 0 0 0 0 0 0 0 0 | 0 5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 12 * * * * * * * * * | 1 1 0 0 0
ox..3oo..3xo.. .... ....&#x & ♦ 4 4 | 6 12 6 0 0 | 4 0 12 12 0 4 0 0 0 0 | 1 0 0 4 6 4 0 0 0 1 0 0 0 0 0 0 | * * 30 * * * * * * * * | 0 0 2 0 0
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oxo.3oox. .... oxo. ....&#xt & ♦ 1 9 | 0 6 6 6 12 | 0 0 6 0 3 2 0 1 6 12 | 0 0 0 2 0 0 0 0 3 0 0 0 2 0 0 3 | * * * * * 120 * * * * * | 0 0 1 0 1
oxo. .... xoo.3oxo. ....&#xt & ♦ 3 7 | 3 12 3 6 6 | 0 1 6 6 6 0 2 0 3 6 | 0 0 0 0 3 0 2 0 3 0 0 0 0 0 2 0 | * * * * * * 120 * * * * | 0 0 1 1 0
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.... .o..3.o..3.x..3.o.. & ♦ 0 10 | 0 0 0 30 0 | 0 0 0 0 0 0 20 10 0 0 | 0 0 0 0 0 0 0 0 0 0 5 5 0 0 0 0 | * * * * * * * * 12 * * | 0 1 1 0 0
.xo.3.ox.3.oo. .... ....&#x & ♦ 4 6 | 0 0 6 12 12 | 0 0 0 0 0 4 4 4 6 12 | 0 0 0 0 0 0 0 0 0 1 0 1 4 0 4 0 | * * * * * * * * * 60 * | 0 0 1 1 0
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o...3o...3x...3o...3o... & ♦ 20 0 | 90 0 0 0 0 | 60 60 0 0 0 0 0 0 0 0 | 15 30 15 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6 6 0 0 0 0 0 0 0 0 0 | 2 * * * *
.... oo..3xo..3ox..3oo..&#x & ♦ 10 10 | 30 30 0 30 0 | 10 20 0 30 30 0 20 10 0 0 | 0 5 5 0 0 10 20 10 0 0 5 5 0 0 0 0 | 0 1 0 5 5 0 0 0 1 0 0 | * 12 * * *
oxo.3oox.3xoo.3oxo. ....&#xt & ♦ 10 30 | 30 60 30 60 60 | 20 10 60 60 30 20 40 10 30 120 | 5 5 0 20 30 20 20 0 30 5 10 5 20 0 40 30 | 1 0 5 5 0 10 10 0 1 5 5 | * * 12 * *
oxo. .... xoo.3oxo.3oox.&#xt & ♦ 4 16 | 6 24 12 24 24 | 0 4 12 12 24 4 8 8 24 24 | 0 0 1 0 6 0 8 8 12 1 0 2 8 6 8 0 | 0 0 0 0 2 0 4 4 0 2 0 | * * * 30 *
oxoo3ooxo .... oxoo3ooxo&#xt ♦ 2 18 | 0 18 18 18 36 | 0 0 18 0 18 6 0 6 36 36 | 0 0 0 6 0 0 0 6 18 0 0 0 12 9 0 9 | 0 0 0 0 0 6 0 6 0 0 0 | * * * * 20