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Acronym
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sochax
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Name
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small cellated hemihexeract,
stericated demihexeract,
pentic hexaract,
equatorial cross-section of hax-first lin
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Circumradius
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sqrt(7)/2 = 1.322876
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Inradius
wrt. hix
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2/sqrt(3) = 1.154701
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Inradius
wrt. hin
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3/sqrt(8) = 1.060660
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Inradius
wrt. tratet
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5/sqrt(24) = 1.020621
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Inradius
wrt. hexip
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1
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Inradius
wrt. scad
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sqrt(3)/2 = 0.866025
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Lace city
in approx. ASCII-art
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 ©
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H h -- x3o3o *b3o3o (hin)
H R r h -- x3o3o *b3o3x (siphin)
h r R H -- o3o3x *b3o3x (alt. siphin)
h H -- o3o3x *b3o3o (alt. hin)
where:
H = x3o3o *b3o (hex)
h = o3o3x *b3o (gyro hex)
R = x3o3o *b3x (gyro rit)
r = o3o3x *b3x (rit)
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_+----------- x3o3o3o3x (scad)
_- _+-------- uo3oo3ox3oo3ox (inv. sarx + u-hix)
_- _- _+----- xo3oo3xo3oo3ou (sarx + dual u-hix)
_- _- _- _+-- x3o3o3o3x (scad)
q o -- x3o3o3o3o (hix)
d S r -- x3o3o3x3o (spix)
p uT Ut q -- xo3xo3ox3ox (tix + inv. tix)
R s d -- o3x3o3o3x (inv. spix)
o p -- o3o3o3o3x (dual hix)
\ \ \ +-- x3o3o *b3o3o (hin)
\ \ +------- x3o3o *b3o3x (siphin)
\ +------------ o3o3x *b3o3x (alt. siphin)
+----------------- o3o3x *b3o3o (alt. hin)
where:
o = o3o3o3o (pt)
p = x3o3o3o (pen)
q = o3o3o3x (dual pen)
r = o3x3o3o (rap)
R = o3o3x3o (inv. rap)
t = x3x3o3o (tip)
T = o3o3x3x (inv. tip)
u = u3o3o3o (u-pen)
U = o3o3o3u (dual u-pen)
s = x3o3x3o (srip)
S = o3x3o3x (inv. srip)
d = x3o3o3x (spid)
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Coordinates
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(1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 3/sqrt(8)) & all permutations, all even changes of sign
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Volume
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2737/360 = 7.602778
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Surface
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[300+39 sqrt(2)+506 sqrt(3)+100 sqrt(6)]/30 = 49.217367
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Face vector
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192, 1440, 4000, 4800, 2344, 296
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Confer
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- related segmentopeta:
-
hinasiphin
siphina
ritas
- general polytopal classes:
-
Wythoffian polypeta
lace simplices
- analogs:
-
maximal expanded demihypercube eDn
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External
links
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°: The equatorial layer in its hix-first orientation alternatively could be seen as a
compound of tix & inv tix, or, more convex,
as the tegum sum of tix & inv tix, but then with u-lacings,
i.e. as xo3xo3oo3ox3ox&#zu. These u-lacings simply happen to be medial sections of the inscribed (unit) hexagons of scad.
Incidence matrix according to Dynkin symbol
x3o3o *b3o3o3x
. . . . . . | 192 | 10 5 | 30 30 10 | 10 20 60 30 10 | 5 20 5 20 30 10 5 | 1 5 10 5 1
---------------+-----+---------+---------------+----------------------+-----------------------------+----------------
x . . . . . | 2 | 960 * | 6 3 0 | 3 6 12 3 0 | 3 6 2 6 6 1 0 | 1 3 3 2 0
. . . . . x | 2 | * 480 | 0 6 4 | 0 0 12 12 6 | 0 4 0 4 12 6 4 | 0 1 4 4 1
---------------+-----+---------+---------------+----------------------+-----------------------------+----------------
x3o . . . . | 3 | 3 0 | 1920 * * | 1 2 2 0 0 | 2 2 1 2 1 0 0 | 1 2 1 1 0
x . . . . x | 4 | 2 2 | * 1440 * | 0 0 4 2 0 | 0 2 0 2 4 1 0 | 0 1 2 2 0
. . . . o3x | 3 | 0 3 | * * 640 | 0 0 0 3 3 | 0 0 0 0 3 3 3 | 0 0 1 3 1
---------------+-----+---------+---------------+----------------------+-----------------------------+----------------
x3o3o . . . ♦ 4 | 6 0 | 4 0 0 | 480 * * * * | 2 2 0 0 0 0 0 | 1 2 1 0 0
x3o . *b3o . . ♦ 4 | 6 0 | 4 0 0 | * 960 * * * | 1 0 1 1 0 0 0 | 1 1 0 1 0
x3o . . . x ♦ 6 | 6 3 | 2 3 0 | * * 1920 * * | 0 1 0 1 1 0 0 | 0 1 1 1 0
x . . . o3x ♦ 6 | 3 6 | 0 3 2 | * * * 960 * | 0 0 0 0 2 1 0 | 0 0 1 2 0
. . . o3o3x ♦ 4 | 0 6 | 0 0 4 | * * * * 480 | 0 0 0 0 0 1 2 | 0 0 0 2 1
---------------+-----+---------+---------------+----------------------+-----------------------------+----------------
x3o3o *b3o . . ♦ 8 | 24 0 | 32 0 0 | 8 8 0 0 0 | 120 * * * * * * | 1 1 0 0 0
x3o3o . . x ♦ 8 | 12 4 | 8 6 0 | 2 0 4 0 0 | * 480 * * * * * | 0 1 1 0 0
x3o . *b3o3o . ♦ 5 | 10 0 | 10 0 0 | 0 5 0 0 0 | * * 192 * * * * | 1 0 0 1 0
x3o . *b3o . x ♦ 8 | 12 4 | 8 6 0 | 0 2 4 0 0 | * * * 480 * * * | 0 1 0 1 0
x3o . . o3x ♦ 9 | 9 9 | 3 9 3 | 0 0 3 3 0 | * * * * 640 * * | 0 0 1 1 0
x . . o3o3x ♦ 8 | 4 12 | 0 6 8 | 0 0 0 4 2 | * * * * * 240 * | 0 0 0 2 0
. o . *b3o3o3x ♦ 5 | 0 10 | 0 0 10 | 0 0 0 0 5 | * * * * * * 192 | 0 0 0 1 1
---------------+-----+---------+---------------+----------------------+-----------------------------+----------------
x3o3o *b3o3o . ♦ 16 | 80 0 | 160 0 0 | 40 80 0 0 0 | 10 0 16 0 0 0 0 | 12 * * * *
x3o3o *b3o . x ♦ 16 | 48 8 | 64 24 0 | 16 16 32 0 0 | 2 8 0 8 0 0 0 | * 60 * * *
x3o3o . o3x ♦ 12 | 18 12 | 12 18 4 | 3 0 12 6 0 | 0 3 0 0 4 0 0 | * * 160 * *
x3o . *b3o3o3x ♦ 30 | 60 60 | 60 90 60 | 0 30 60 60 30 | 0 0 6 15 20 15 6 | * * * 32 *
. o3o *b3o3o3x ♦ 6 | 0 15 | 0 0 20 | 0 0 0 0 15 | 0 0 0 0 0 0 6 | * * * * 32
x3o3o3o3o4s
demi( . . . . . . ) | 192 | 5 10 | 10 30 30 | 10 30 10 60 20 | 5 10 20 5 30 20 5 | 1 10 5 1 5
--------------------+-----+---------+---------------+----------------------+-----------------------------+----------------
demi( x . . . . . ) | 2 | 480 * | 4 6 0 | 6 12 0 12 0 | 4 6 4 0 12 4 0 | 1 4 1 0 4
. . . . o4s | 2 | * 960 | 0 3 6 | 0 3 3 12 6 | 0 1 6 3 6 6 2 | 0 3 3 1 2
--------------------+-----+---------+---------------+----------------------+-----------------------------+----------------
demi( x3o . . . . ) | 3 | 3 0 | 640 * * | 3 3 0 0 0 | 3 3 0 0 3 0 0 | 1 1 0 0 3
x . 2 . o4s | 4 | 2 2 | * 1440 * | 0 2 0 4 0 | 0 1 2 0 4 2 0 | 0 2 1 0 2
sefa( . . . o3o4s ) | 3 | 0 3 | * * 1920 | 0 0 1 2 2 | 0 0 2 2 1 2 1 | 0 1 2 1 1
--------------------+-----+---------+---------------+----------------------+-----------------------------+----------------
demi( x3o3o . . . ) ♦ 4 | 6 0 | 4 0 0 | 480 * * * * | 2 1 0 0 0 0 0 | 1 0 0 0 2
x3o 2 . o4s ♦ 6 | 6 3 | 2 3 0 | * 960 * * * | 0 1 0 0 2 0 0 | 0 1 0 0 2
. . . o3o4s ♦ 4 | 0 6 | 0 0 4 | * * 480 * * | 0 0 2 2 0 0 0 | 0 1 2 1 0
sefa( x . 2 o3o4s ) ♦ 6 | 3 6 | 0 3 2 | * * * 1920 * | 0 0 1 0 1 1 0 | 0 1 1 0 1
sefa( . . o3o3o4s ) ♦ 4 | 0 6 | 0 0 4 | * * * * 960 | 0 0 0 1 0 1 1 | 0 0 1 1 1
--------------------+-----+---------+---------------+----------------------+-----------------------------+----------------
demi( x3o3o3o . . ) ♦ 5 | 10 0 | 10 0 0 | 5 0 0 0 0 | 192 * * * * * * | 1 0 0 0 1
x3o3o 2 o4s ♦ 8 | 12 4 | 8 6 0 | 2 4 0 0 0 | * 240 * * * * * | 0 0 0 0 2
x . 2 o3o4s ♦ 8 | 4 12 | 0 6 8 | 0 0 2 4 0 | * * 480 * * * * | 0 1 1 0 0
. . o3o3o4s ♦ 8 | 0 24 | 0 0 32 | 0 0 8 0 8 | * * * 120 * * * | 0 0 1 1 0
sefa( x3o 2 o3o4s ) ♦ 9 | 9 9 | 3 9 3 | 0 3 0 3 0 | * * * * 640 * * | 0 1 0 0 1
sefa( x 2 o3o3o4s ) ♦ 8 | 4 12 | 0 6 8 | 0 0 0 4 2 | * * * * * 480 * | 0 0 1 0 1
sefa( . o3o3o3o4s ) ♦ 5 | 0 10 | 0 0 10 | 0 0 0 0 5 | * * * * * * 192 | 0 0 0 1 1
--------------------+-----+---------+---------------+----------------------+-----------------------------+----------------
demi( x3o3o3o3o . ) ♦ 6 | 15 0 | 20 0 0 | 15 0 0 0 0 | 6 0 0 0 0 0 0 | 32 * * * *
x3o 2 o3o4s ♦ 12 | 12 18 | 4 18 12 | 0 6 3 12 0 | 0 0 3 0 4 0 0 | * 160 * * *
x 2 o3o3o4s ♦ 16 | 8 48 | 0 24 64 | 0 0 16 32 16 | 0 0 8 2 0 8 0 | * * 60 * *
. o3o3o3o4s ♦ 16 | 0 80 | 0 0 160 | 0 0 40 0 80 | 0 0 0 10 0 0 16 | * * * 12 *
sefa( x3o3o3o3o4s ) ♦ 30 | 60 60 | 60 90 60 | 30 60 0 60 30 | 6 15 0 0 20 15 6 | * * * * 32
starting figure: x3o3o3o3o4x
xxoo3oooo3ooxx *b3oooo3oxxo&#xt → all heights = 1/sqrt(2) = 0.707107
(hin || siphin || alt. siphin || alt. hin)
o...3o...3o... *b3o...3o... & | 32 * | 10 5 0 0 0 | 30 30 10 0 0 0 0 0 | 10 20 60 30 10 0 0 0 0 0 0 0 0 0 | 5 5 20 20 30 10 5 0 0 0 0 0 0 0 0 0 | 1 5 10 5 1 0 0 0
.o..3.o..3.o.. *b3.o..3.o.. & | * 160 | 0 1 6 4 4 | 0 6 4 12 12 6 18 12 | 0 0 12 12 6 4 4 12 6 4 16 6 36 12 | 0 0 4 4 12 6 4 1 4 1 4 5 16 12 18 4 | 0 1 4 5 1 1 4 6
----------------------------------+--------+---------------------+---------------------------------+--------------------------------------------------------+----------------------------------------------------------+-----------------------
x... .... .... .... .... & | 2 0 | 160 * * * * | 6 3 0 0 0 0 0 0 | 3 6 12 3 0 0 0 0 0 0 0 0 0 0 | 3 2 6 6 6 1 0 0 0 0 0 0 0 0 0 0 | 1 3 3 2 0 0 0 0
oo..3oo..3oo.. *b3oo..3oo..&#x & | 1 1 | * 160 * * * | 0 6 4 0 0 0 0 0 | 0 0 12 12 6 0 0 0 0 0 0 0 0 0 | 0 0 4 4 12 6 4 0 0 0 0 0 0 0 0 0 | 0 1 4 4 1 0 0 0
.x.. .... .... .... .... & | 0 2 | * * 480 * * | 0 1 0 4 2 0 2 0 | 0 0 4 2 0 2 2 4 1 0 4 1 4 0 | 0 0 2 2 4 1 0 1 2 0 2 2 4 2 2 0 | 0 1 2 2 0 1 2 1
.... .... .... .... .x.. & | 0 2 | * * * 320 * | 0 0 1 0 3 3 0 3 | 0 0 0 3 3 0 0 3 3 3 0 0 9 6 | 0 0 0 0 3 3 3 0 1 1 0 0 4 3 9 3 | 0 0 1 4 1 0 1 3
.oo.3.oo.3.oo. *b3.oo.3.oo.&#x | 0 2 | * * * * 320 | 0 0 0 0 0 0 6 3 | 0 0 0 0 0 0 0 0 0 0 6 3 12 3 | 0 0 0 0 0 0 0 0 0 0 3 2 6 6 6 1 | 0 0 0 2 0 1 3 3
----------------------------------+--------+---------------------+---------------------------------+--------------------------------------------------------+----------------------------------------------------------+-----------------------
x...3o... .... .... .... & | 3 0 | 3 0 0 0 0 | 320 * * * * * * * | 1 2 2 0 0 0 0 0 0 0 0 0 0 0 | 2 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 | 1 2 1 1 0 0 0 0
xx.. .... .... .... ....&#x & | 2 2 | 1 2 1 0 0 | * 480 * * * * * * | 0 0 4 2 0 0 0 0 0 0 0 0 0 0 | 0 0 2 2 4 1 0 0 0 0 0 0 0 0 0 0 | 0 1 2 2 0 0 0 0
.... .... .... .... ox..&#x & | 1 2 | 0 2 0 1 0 | * * 320 * * * * * | 0 0 0 3 3 0 0 0 0 0 0 0 0 0 | 0 0 0 0 3 3 3 0 0 0 0 0 0 0 0 0 | 0 0 1 3 1 0 0 0
.x..3.o.. .... .... .... & | 0 3 | 0 0 3 0 0 | * * * 640 * * * * | 0 0 1 0 0 1 1 1 0 0 1 0 0 0 | 0 0 1 1 1 0 0 1 1 0 1 1 1 0 0 0 | 0 1 1 1 0 1 1 0
.x.. .... .... .... .x.. & | 0 4 | 0 0 2 2 0 | * * * * 480 * * * | 0 0 0 1 0 0 0 2 1 0 0 0 2 0 | 0 0 0 0 2 1 0 0 1 0 0 0 2 1 2 0 | 0 0 1 2 0 0 1 1
.... .... .... .o..3.x.. & | 0 3 | 0 0 0 3 0 | * * * * * 320 * * | 0 0 0 0 1 0 0 0 1 2 0 0 0 2 | 0 0 0 0 0 1 2 0 0 1 0 0 0 0 3 2 | 0 0 0 3 1 0 0 1
.xo. .... .... .... ....&#x & | 0 3 | 0 0 1 0 2 | * * * * * * 960 * | 0 0 0 0 0 0 0 0 0 0 2 1 2 0 | 0 0 0 0 0 0 0 0 0 0 2 1 2 2 1 0 | 0 0 0 1 0 1 2 1
.... .... .... .... .xx.&#x | 0 4 | 0 0 0 2 2 | * * * * * * * 480 | 0 0 0 0 0 0 0 0 0 0 0 0 4 2 | 0 0 0 0 0 0 0 0 0 0 0 0 2 2 4 1 | 0 0 0 2 0 0 1 2
----------------------------------+--------+---------------------+---------------------------------+--------------------------------------------------------+----------------------------------------------------------+-----------------------
x...3o...3o... .... .... & ♦ 4 0 | 6 0 0 0 0 | 4 0 0 0 0 0 0 0 | 80 * * * * * * * * * * * * * | 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0 0 0
x...3o... .... *b3o... .... & ♦ 4 0 | 6 0 0 0 0 | 4 0 0 0 0 0 0 0 | * 160 * * * * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0 0 0
xx..3oo.. .... .... ....&#x & ♦ 3 3 | 3 3 3 0 0 | 1 3 0 1 0 0 0 0 | * * 640 * * * * * * * * * * * | 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 0 0
xx.. .... .... .... ox..&#x & ♦ 2 4 | 1 4 2 2 0 | 0 2 2 0 1 0 0 0 | * * * 480 * * * * * * * * * * | 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 | 0 0 1 2 0 0 0 0
.... .... .... oo..3ox..&#x & ♦ 1 3 | 0 3 0 3 0 | 0 0 3 0 0 1 0 0 | * * * * 320 * * * * * * * * * | 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 | 0 0 0 2 1 0 0 0
.x..3.o..3.o.. .... .... & ♦ 0 4 | 0 0 6 0 0 | 0 0 0 4 0 0 0 0 | * * * * * 160 * * * * * * * * | 0 0 1 0 0 0 0 1 1 0 1 0 0 0 0 0 | 0 1 1 0 0 1 1 0
.x..3.o.. .... *b3.o.. .... & ♦ 0 4 | 0 0 6 0 0 | 0 0 0 4 0 0 0 0 | * * * * * * 160 * * * * * * * | 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 | 0 1 0 1 0 1 0 0
.x..3.o.. .... .... .x.. & ♦ 0 6 | 0 0 6 3 0 | 0 0 0 2 3 0 0 0 | * * * * * * * 320 * * * * * * | 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 | 0 0 1 1 0 0 1 0
.x.. .... .... .o..3.x.. & ♦ 0 6 | 0 0 3 6 0 | 0 0 0 0 3 2 0 0 | * * * * * * * * 160 * * * * * | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 0 | 0 0 0 2 0 0 0 1
.... .o.. .... *b3.o..3.x.. & ♦ 0 4 | 0 0 0 6 0 | 0 0 0 0 0 4 0 0 | * * * * * * * * * 160 * * * * | 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 | 0 0 0 2 1 0 0 0
.xo.3.oo. .... .... ....&#x & ♦ 0 4 | 0 0 3 0 3 | 0 0 0 1 0 0 3 0 | * * * * * * * * * * 640 * * * | 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 | 0 0 0 1 0 1 1 0
.xo. .... .ox. .... ....&#x ♦ 0 4 | 0 0 2 0 4 | 0 0 0 0 0 0 4 0 | * * * * * * * * * * * 240 * * | 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 | 0 0 0 0 0 1 2 1
.xo. .... .... .... .xx.&#x & ♦ 0 6 | 0 0 2 3 4 | 0 0 0 0 1 0 2 2 | * * * * * * * * * * * * 960 * | 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 | 0 0 0 1 0 0 1 1
.... .... .... .oo.3.xx.&#x ♦ 0 6 | 0 0 0 6 3 | 0 0 0 0 0 2 0 3 | * * * * * * * * * * * * * 320 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 | 0 0 0 2 0 0 0 1
----------------------------------+--------+---------------------+---------------------------------+--------------------------------------------------------+----------------------------------------------------------+-----------------------
x...3o...3o... *b3o... .... & ♦ 8 0 | 24 0 0 0 0 | 32 0 0 0 0 0 0 0 | 8 8 0 0 0 0 0 0 0 0 0 0 0 0 | 20 * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0
x...3o... .... *b3o...3o... & ♦ 5 0 | 10 0 0 0 0 | 10 0 0 0 0 0 0 0 | 0 5 0 0 0 0 0 0 0 0 0 0 0 0 | * 32 * * * * * * * * * * * * * * | 1 0 0 1 0 0 0 0
xx..3oo..3oo.. .... ....&#x & ♦ 4 4 | 6 4 6 0 0 | 4 6 0 4 0 0 0 0 | 1 0 4 0 0 1 0 0 0 0 0 0 0 0 | * * 160 * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0
xx..3oo.. .... *b3oo.. ....&#x & ♦ 4 4 | 6 4 6 0 0 | 4 6 0 4 0 0 0 0 | 0 1 4 0 0 0 1 0 0 0 0 0 0 0 | * * * 160 * * * * * * * * * * * * | 0 1 0 1 0 0 0 0
xx..3oo.. .... .... ox..&#x & ♦ 3 6 | 3 6 6 3 0 | 1 6 3 2 3 0 0 0 | 0 0 2 3 0 0 0 1 0 0 0 0 0 0 | * * * * 320 * * * * * * * * * * * | 0 0 1 1 0 0 0 0
xx.. .... .... oo..3ox..&#x & ♦ 2 6 | 1 6 3 6 0 | 0 3 6 0 3 2 0 0 | 0 0 0 3 2 0 0 0 1 0 0 0 0 0 | * * * * * 160 * * * * * * * * * * | 0 0 0 2 0 0 0 0
.... oo.. .... *b3oo..3ox..&#x & ♦ 1 4 | 0 4 0 6 0 | 0 0 6 0 0 4 0 0 | 0 0 0 0 4 0 0 0 0 1 0 0 0 0 | * * * * * * 160 * * * * * * * * * | 0 0 0 1 1 0 0 0
.x..3.o..3.o.. *b3.o.. .... & ♦ 0 8 | 0 0 24 0 0 | 0 0 0 32 0 0 0 0 | 0 0 0 0 0 8 8 0 0 0 0 0 0 0 | * * * * * * * 20 * * * * * * * * | 0 1 0 0 0 1 0 0
.x..3.o..3.o.. .... .x.. & ♦ 0 8 | 0 0 12 4 0 | 0 0 0 8 6 0 0 0 | 0 0 0 0 0 2 0 4 0 0 0 0 0 0 | * * * * * * * * 80 * * * * * * * | 0 0 1 0 0 0 1 0
.... .o..3.o.. *b3.o..3.x.. & ♦ 0 5 | 0 0 0 10 0 | 0 0 0 0 0 10 0 0 | 0 0 0 0 0 0 0 0 0 5 0 0 0 0 | * * * * * * * * * 32 * * * * * * | 0 0 0 1 1 0 0 0
.xo.3.oo.3.ox. .... ....&#x ♦ 0 8 | 0 0 12 0 12 | 0 0 0 8 0 0 24 0 | 0 0 0 0 0 2 0 0 0 0 8 6 0 0 | * * * * * * * * * * 80 * * * * * | 0 0 0 0 0 1 1 0
.xo.3.oo. .... *b3.oo. ....&#x & ♦ 0 5 | 0 0 6 0 4 | 0 0 0 4 0 0 6 0 | 0 0 0 0 0 0 1 0 0 0 4 0 0 0 | * * * * * * * * * * * 160 * * * * | 0 0 0 1 0 1 0 0
.xo.3.oo. .... .... .xx.&#x & ♦ 0 8 | 0 0 6 4 6 | 0 0 0 2 3 0 6 3 | 0 0 0 0 0 0 0 1 0 0 2 0 3 0 | * * * * * * * * * * * * 320 * * * | 0 0 0 1 0 0 1 0
.xo. .... .ox. .... .xx.&#x ♦ 0 8 | 0 0 4 4 8 | 0 0 0 0 2 0 8 4 | 0 0 0 0 0 0 0 0 0 0 0 2 4 0 | * * * * * * * * * * * * * 240 * * | 0 0 0 0 0 0 1 1
.xo. .... .... .oo.3.xx.&#x & ♦ 0 9 | 0 0 3 9 6 | 0 0 0 0 3 3 3 6 | 0 0 0 0 0 0 0 0 1 0 0 0 3 2 | * * * * * * * * * * * * * * 320 * | 0 0 0 1 0 0 0 1
.... .oo. .... *b3.oo.3.xx.&#x ♦ 0 8 | 0 0 0 12 4 | 0 0 0 0 0 8 0 6 | 0 0 0 0 0 0 0 0 0 2 0 0 0 4 | * * * * * * * * * * * * * * * 80 | 0 0 0 2 0 0 0 0
----------------------------------+--------+---------------------+---------------------------------+--------------------------------------------------------+----------------------------------------------------------+-----------------------
x...3o...3o... *b3o...3o... & ♦ 16 0 | 80 0 0 0 0 | 160 0 0 0 0 0 0 0 | 40 80 0 0 0 0 0 0 0 0 0 0 0 0 | 10 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 * * * * * * *
xx..3oo..3oo.. *b3oo.. ....&#x & ♦ 8 8 | 24 8 24 0 0 | 32 24 0 32 0 0 0 0 | 8 8 32 0 0 8 8 0 0 0 0 0 0 0 | 1 0 8 8 0 0 0 1 0 0 0 0 0 0 0 0 | * 20 * * * * * *
xx..3oo..3oo.. .... ox..&#x & ♦ 4 8 | 6 8 12 4 0 | 4 12 4 8 6 0 0 0 | 1 0 8 6 0 2 0 4 0 0 0 0 0 0 | 0 0 2 0 4 0 0 0 1 0 0 0 0 0 0 0 | * * 80 * * * * *
xxo.3ooo. .... *b3ooo.3oxx.&#xt & ♦ 5 25 | 10 20 30 40 20 | 10 30 30 20 30 30 30 30 | 0 5 20 30 20 0 5 10 10 10 20 0 30 20 | 0 1 0 5 10 10 5 0 0 1 0 5 10 0 10 5 | * * * 32 * * * *
.... oo..3oo.. *b3oo..3ox..&#x & ♦ 1 5 | 0 5 0 10 0 | 0 0 10 0 0 10 0 0 | 0 0 0 0 10 0 0 0 0 5 0 0 0 0 | 0 0 0 0 0 0 5 0 0 1 0 0 0 0 0 0 | * * * * 32 * * *
.xo.3.oo.3.ox. *b3.oo. ....&#x ♦ 0 16 | 0 0 48 0 32 | 0 0 0 64 0 0 96 0 | 0 0 0 0 0 16 16 0 0 0 64 24 0 0 | 0 0 0 0 0 0 0 2 0 0 8 16 0 0 0 0 | * * * * * 10 * *
.xo.3.oo.3.ox. .... .xx.&#x ♦ 0 16 | 0 0 24 8 24 | 0 0 0 16 12 0 48 12 | 0 0 0 0 0 4 0 8 0 0 16 12 24 0 | 0 0 0 0 0 0 0 0 2 0 2 0 8 6 0 0 | * * * * * * 40 *
.xo. .... .ox. .oo.3.xx.&#x ♦ 0 12 | 0 0 6 12 12 | 0 0 0 0 6 4 12 12 | 0 0 0 0 0 0 0 0 2 0 0 3 12 4 | 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 0 | * * * * * * * 80
xx(xo)oo3ox(xo)xo3oo(oo)oo3ox(ox)oo3oo(ox)xx&#xt → all heights = 1/sqrt(3) = 0.577350
(hix || spix || (tix, inv tix)-compound° || inv spix || dual hix)
o.(..)..3o.(..)..3o.(..)..3o.(..)..3o.(..).. & | 12 * * | 5 10 0 0 0 0 0 0 | 10 30 30 0 0 0 0 0 0 0 0 0 0 0 0 | 10 30 60 20 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5 10 30 20 20 5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 10 5 1 5 0 0 0 0
.o(..)..3.o(..)..3.o(..)..3.o(..)..3.o(..).. & | * 120 * | 0 1 3 6 3 2 0 0 | 0 3 6 3 12 6 3 3 3 12 6 6 1 3 0 | 0 3 12 6 3 1 6 6 6 2 12 1 6 6 6 6 12 3 6 9 18 0 | 0 1 6 6 6 2 3 3 6 6 2 3 2 6 3 6 2 15 3 8 6 0 | 0 3 3 1 2 1 3 7 2
..(o.)..3..(o.)..3..(o.)..3..(o.)..3..(o.).. & | * * 60 | 0 0 0 0 6 4 1 4 | 0 0 0 0 0 0 0 6 12 12 6 12 4 6 6 | 0 0 0 0 0 0 0 0 0 0 12 6 12 4 4 4 12 6 12 18 36 4 | 0 0 0 0 0 0 1 0 4 4 4 4 1 4 4 6 4 24 6 16 12 1 | 0 0 1 1 1 1 4 10 4
---------------------------------------------------+-----------+-------------------------------+------------------------------------------------------------+-------------------------------------------------------------------------------------+-------------------------------------------------------------------------------+---------------------------
x.(..).. ..(..).. ..(..).. ..(..).. ..(..).. & | 2 0 0 | 30 * * * * * * * | 4 6 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6 12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 4 6 12 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 4 1 0 4 0 0 0 0
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...... .oxxo. ...... ...... ...... &#xr & ♦ 0 3 3 | 0 0 0 1 4 3 0 1 | 0 0 0 0 0 0 0 0 1 1 0 1 0 2 0 | * * * * * * * * * * * * * * * * * * * * 720 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 | 0 0 0 0 0 0 1 1 1
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x.(..)..3o.(..)..3o.(..)..3o.(..)..3o.(..).. & ♦ 6 0 0 | 15 0 0 0 0 0 0 0 | 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 * * * * * * * *
xx(..)..3oo(..).. ..(..).. ox(..)..3oo(..)..&#x & ♦ 3 9 0 | 3 9 9 9 0 0 0 0 | 1 9 9 3 9 0 3 0 0 0 0 0 0 0 0 | 0 3 9 0 3 0 3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 3 0 3 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 40 * * * * * * *
xx(x.).. ..(..).. oo(o.)..3ox(o.)..3oo(o.)..&#xt & ♦ 2 12 2 | 1 12 6 24 12 0 1 0 | 0 6 24 0 12 8 8 6 0 24 0 0 0 0 0 | 0 0 12 8 8 0 0 4 4 0 12 0 0 8 8 0 0 0 0 0 0 0 | 0 0 0 4 4 0 2 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 | * * 30 * * * * * *
..(..).. oo(x.)..3oo(o.)..3ox(o.)..3oo(o.)..&#xt & ♦ 1 10 5 | 0 10 0 30 30 0 0 10 | 0 0 30 0 0 20 10 0 30 60 0 0 0 0 10 | 0 0 0 20 10 0 0 0 0 5 0 10 30 20 20 0 0 0 0 0 0 5 | 0 0 0 0 0 5 5 0 0 0 5 10 0 0 0 0 0 0 0 0 0 1 | * * * 12 * * * * *
xx(.o)..3oo(.o)..3oo(.o)..3ox(.x).. ..(..)..&#xt & ♦ 5 20 5 | 10 20 30 30 0 20 0 10 | 10 30 30 20 30 20 0 0 0 0 30 30 0 0 10 | 5 20 30 20 0 5 10 10 0 5 0 0 0 0 0 20 30 0 20 0 0 5 | 1 5 10 10 0 5 0 0 0 0 0 0 5 10 0 10 5 0 0 0 0 1 | * * * * 12 * * * *
.x(.o)..3.o(.o)..3.o(.o).. ..(..).. .o(.x)..&#x & ♦ 0 4 2 | 0 0 6 0 0 8 1 0 | 0 0 0 4 0 0 0 0 0 0 12 0 4 0 0 | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 8 0 6 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 4 0 0 0 0 0 0 0 | * * * * * 30 * * *
.x(xo)o.3.o(xo)x. ..(..).. .x(ox)o.3.o(ox)x.&#xt ♦ 0 18 12 | 0 0 18 18 36 36 6 6 | 0 0 0 6 18 0 6 18 18 36 36 18 18 36 0 | 0 0 0 0 0 0 6 0 6 0 18 0 18 0 12 12 18 18 0 36 36 0 | 0 0 0 0 0 0 0 2 0 6 0 6 0 6 6 0 0 18 9 0 9 0 | * * * * * * 20 * *
.xxoo. ...... .oooo. 3.xoox. ...... &#xr & ♦ 0 7 5 | 0 0 3 6 9 8 1 3 | 0 0 0 0 3 2 0 3 3 6 3 6 1 6 1 | 0 0 0 0 0 0 0 1 0 0 3 1 0 2 0 0 3 0 2 3 6 0 | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 3 0 2 0 0 | * * * * * * * 120 *
...... .oxxo. 3.oooo. 3.xoox. ...... &#xr ♦ 0 8 8 | 0 0 0 12 24 8 0 12 | 0 0 0 0 0 8 0 0 24 24 0 12 0 12 8 | 0 0 0 0 0 0 0 0 0 2 0 8 12 8 0 0 0 0 8 0 24 2 | 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 8 6 0 | * * * * * * * * 30
x(xo)(ou)x3o(oo)(oo)o3o(xo)(xo)o3o(oo)(oo)o3x(ou)(xo)x&#xt → all heights = 1/sqrt(3) = 0.577350
(scad || (sarx + dual u-hix) || (inv. sarx + u-hix) || scad)
o(..)(..).3o(..)(..).3o(..)(..).3o(..)(..).3o(..)(..). & | 60 * * | 4 4 6 1 0 0 0 0 | 6 12 6 12 12 12 6 4 0 0 0 0 0 0 0 | 4 12 12 4 6 12 24 4 4 12 6 12 12 6 0 0 0 0 0 0 0 0 | 1 4 6 4 1 12 4 12 12 4 4 6 12 4 4 1 4 0 0 0 0 0 | 1 6 4 4 4 1 1 1 0
.(o.)(..).3.(o.)(..).3.(o.)(..).3.(o.)(..).3.(o.)(..). & | * 120 * | 0 0 3 0 2 6 3 1 | 0 0 0 6 12 3 6 0 1 6 3 6 9 12 6 | 0 0 0 0 3 12 6 6 6 6 1 9 24 0 6 2 4 18 6 12 3 6 | 0 0 0 0 0 3 6 6 2 3 2 4 18 12 12 3 0 2 5 9 6 2 | 0 1 2 5 9 3 1 0 1
.(.o)(..).3.(.o)(..).3.(.o)(..).3.(.o)(..).3.(.o)(..). & | * * 12 | 0 0 0 5 0 0 0 10 | 0 0 0 0 0 0 30 10 0 0 0 0 0 0 30 | 0 0 0 0 0 0 0 0 0 0 0 30 60 10 0 0 0 0 0 0 10 20 | 0 0 0 0 0 0 0 0 0 0 0 10 30 20 20 5 5 0 0 0 0 5 | 0 0 0 5 10 5 1 1 0
-------------------------------------------------------------+-----------+--------------------------------+------------------------------------------------------------+--------------------------------------------------------------------------------------+------------------------------------------------------------------------------+---------------------------
x(..)(..). .(..)(..). .(..)(..). .(..)(..). .(..)(..). & | 2 0 0 | 120 * * * * * * * | 3 3 0 3 0 0 0 1 0 0 0 0 0 0 0 | 3 6 3 0 3 3 6 0 0 0 0 3 0 3 0 0 0 0 0 0 0 0 | 1 3 3 1 0 6 1 3 3 0 0 3 3 0 0 0 3 0 0 0 0 0 | 1 3 1 3 1 0 0 1 0
.(..)(..). .(..)(..). .(..)(..). .(..)(..). x(..)(..). & | 2 0 0 | * 120 * * * * * * | 0 3 3 0 0 3 0 0 0 0 0 0 0 0 0 | 0 3 6 3 0 0 6 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 | 0 1 3 3 1 3 0 3 6 1 3 0 0 0 0 0 0 0 0 0 0 0 | 1 3 3 1 0 0 1 0 0
o(o.)(..).3o(o.)(..).3o(o.)(..).3o(o.)(..).3o(o.)(..).&#x & | 1 1 0 | * * 360 * * * * * | 0 0 0 2 4 2 1 0 0 0 0 0 0 0 0 | 0 0 0 0 1 4 4 2 2 4 1 2 4 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 2 2 4 2 2 2 1 4 2 2 1 0 0 0 0 0 0 | 0 1 2 2 2 1 1 0 0
o(.o)(..).3o(.o)(..).3o(.o)(..).3o(.o)(..).3o(.o)(..).&#x & | 1 0 1 | * * * 60 * * * * | 0 0 0 0 0 0 6 4 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 12 12 6 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 6 12 4 4 0 4 0 0 0 0 0 | 0 0 0 4 12 1 0 1 0
.(x.)(..). .(..)(..). .(..)(..). .(..)(..). .(..)(..). & | 0 2 0 | * * * * 120 * * * | 0 0 0 3 0 0 0 0 1 3 0 0 3 0 3 | 0 0 0 0 3 6 2 0 0 0 0 3 0 0 3 0 3 6 3 0 0 0 | 0 0 0 0 0 3 3 3 1 0 0 3 6 0 0 0 0 1 4 3 3 0 | 0 1 1 3 3 0 0 0 1
.(..)(..). .(..)(..). .(x.)(..). .(..)(..). .(..)(..). & | 0 2 0 | * * * * * 360 * * | 0 0 0 0 2 0 0 0 0 1 1 2 0 2 0 | 0 0 0 0 0 2 0 2 2 1 0 0 4 0 2 1 0 3 0 4 1 2 | 0 0 0 0 0 0 2 1 0 1 1 0 3 4 4 2 0 1 0 3 1 1 | 0 0 1 2 3 2 1 0 0
.(o.)(o.).3.(o.)(o.).3.(o.)(o.).3.(o.)(o.).3.(o.)(o.).&#x | 0 2 0 | * * * * * * 180 * | 0 0 0 0 0 0 2 0 0 0 0 0 4 4 0 | 0 0 0 0 0 0 0 0 0 0 0 4 8 0 0 0 2 8 4 4 0 0 | 0 0 0 0 0 0 0 0 0 0 0 2 8 4 4 0 0 0 4 4 4 0 | 0 0 0 4 4 1 0 0 1
.(o.)(.o).3.(o.)(.o).3.(o.)(.o).3.(o.)(.o).3.(o.)(.o).&#x & | 0 1 1 | * * * * * * * 120 | 0 0 0 0 0 0 3 0 0 0 0 0 0 0 6 | 0 0 0 0 0 0 0 0 0 0 0 3 12 0 0 0 0 0 0 0 3 6 | 0 0 0 0 0 0 0 0 0 0 0 1 6 6 6 3 0 0 0 0 0 2 | 0 0 0 2 3 3 1 0 0
-------------------------------------------------------------+-----------+--------------------------------+------------------------------------------------------------+--------------------------------------------------------------------------------------+------------------------------------------------------------------------------+---------------------------
x(..)(..).3o(..)(..). .(..)(..). .(..)(..). .(..)(..). & | 3 0 0 | 3 0 0 0 0 0 0 0 | 120 * * * * * * * * * * * * * * | 2 2 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 1 2 1 0 0 2 0 0 0 0 0 1 0 0 0 0 2 0 0 0 0 0 | 1 1 0 2 0 0 0 1 0
x(..)(..). .(..)(..). .(..)(..). .(..)(..). x(..)(..). & | 4 0 0 | 2 2 0 0 0 0 0 0 | * 180 * * * * * * * * * * * * * | 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 2 1 0 2 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 1 1 0 0 0 0 0
.(..)(..). .(..)(..). .(..)(..). o(..)(..).3x(..)(..). & | 3 0 0 | 0 3 0 0 0 0 0 0 | * * 120 * * * * * * * * * * * * | 0 0 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 2 1 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 | 1 1 2 0 0 0 1 0 0
x(x.)(..). .(..)(..). .(..)(..). .(..)(..). .(..)(..).&#x & | 2 2 0 | 1 0 2 0 1 0 0 0 | * * * 360 * * * * * * * * * * * | 0 0 0 0 1 2 2 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 2 1 2 1 0 0 1 2 0 0 0 0 0 0 0 0 0 | 0 1 1 2 1 0 0 0 0
.(..)(..). .(..)(..). o(x.)(..). .(..)(..). .(..)(..).&#x & | 1 2 0 | 0 0 2 0 0 1 0 0 | * * * * 720 * * * * * * * * * * | 0 0 0 0 0 1 0 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 1 1 0 1 1 0 1 1 1 1 0 0 0 0 0 0 | 0 0 1 1 1 1 1 0 0
.(..)(..). .(..)(..). .(..)(..). .(..)(..). x(o.)(..).&#x & | 2 1 0 | 0 1 2 0 0 0 0 0 | * * * * * 360 * * * * * * * * * | 0 0 0 0 0 0 2 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 1 0 2 2 1 2 0 0 0 0 0 0 0 0 0 0 0 | 0 1 2 1 0 0 1 0 0
o(oo)(o.).3o(oo)(o.).3o(oo)(o.).3o(oo)(o.).3o(oo)(o.).&#xt & | 1 2 1 | 0 0 1 1 0 0 1 1 | * * * * * * 360 * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 2 4 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 1 4 2 2 0 0 0 0 0 0 0 | 0 0 0 2 2 1 0 0 0
x(.o)(..). .(..)(..). .(..)(..). .(..)(..). .(..)(..).&#x & | 2 0 1 | 1 0 0 2 0 0 0 0 | * * * * * * * 120 * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 3 0 3 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 3 0 0 0 0 0 | 0 0 0 3 1 0 0 1 0
.(x.)(..).3.(o.)(..). .(..)(..). .(..)(..). .(..)(..). & | 0 3 0 | 0 0 0 0 3 0 0 0 | * * * * * * * * 40 * * * * * * | 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 | 0 0 0 0 0 3 0 0 0 0 0 3 0 0 0 0 0 0 3 0 0 0 | 0 1 0 3 0 0 0 0 1
.(x.)(..). .(..)(..). .(x.)(..). .(..)(..). .(..)(..). & | 0 4 0 | 0 0 0 0 2 2 0 0 | * * * * * * * * * 180 * * * * * | 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 | 0 0 0 0 0 0 2 1 0 0 0 0 2 0 0 0 0 1 0 2 1 0 | 0 0 1 2 2 0 0 0 0
.(..)(..). .(o.)(..).3.(x.)(..). .(..)(..). .(..)(..). & | 0 3 0 | 0 0 0 0 0 3 0 0 | * * * * * * * * * * 120 * * * * | 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 1 0 | 0 0 0 0 0 0 0 0 0 1 0 0 0 2 2 2 0 0 0 1 0 0 | 0 0 0 1 1 2 1 0 0
.(..)(..). .(..)(..). .(x.)(..).3.(o.)(..). .(..)(..). & | 0 3 0 | 0 0 0 0 0 3 0 0 | * * * * * * * * * * * 240 * * * | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 1 0 1 | 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 1 0 1 0 1 0 1 | 0 0 1 1 1 1 1 0 0
.(x.)(o.). .(..)(..). .(..)(..). .(..)(..). .(..)(..).&#x & | 0 3 0 | 0 0 0 0 1 0 2 0 | * * * * * * * * * * * * 360 * * | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 2 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 3 1 2 0 | 0 0 0 3 1 0 0 0 1
.(..)(..). .(..)(..). .(x.)(x.). .(..)(..). .(..)(..).&#x | 0 4 0 | 0 0 0 0 0 2 2 0 | * * * * * * * * * * * * * 360 * | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 2 1 0 | 0 0 0 2 2 1 0 0 0
.(..)(..). .(..)(..). .(x.)(.o). .(..)(..). .(..)(..).&#x & | 0 2 1 | 0 0 0 0 1 0 0 2 | * * * * * * * * * * * * * * 360 | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 1 2 | 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 0 0 0 0 1 | 0 0 0 1 1 2 1 0 0
-------------------------------------------------------------+-----------+--------------------------------+------------------------------------------------------------+--------------------------------------------------------------------------------------+------------------------------------------------------------------------------+---------------------------
x(..)(..).3o(..)(..).3o(..)(..). .(..)(..). .(..)(..). & ♦ 4 0 0 | 6 0 0 0 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 60 * * * * * * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | 1 0 0 1 0 0 0 1 0
x(..)(..).3o(..)(..). .(..)(..). .(..)(..). x(..)(..). & ♦ 6 0 0 | 6 3 0 0 0 0 0 0 | 2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 120 * * * * * * * * * * * * * * * * * * * * | 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0 0 0 0
x(..)(..). .(..)(..). .(..)(..). o(..)(..).3x(..)(..). & ♦ 6 0 0 | 3 6 0 0 0 0 0 0 | 0 3 2 0 0 0 0 0 0 0 0 0 0 0 0 | * * 120 * * * * * * * * * * * * * * * * * * * | 0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0 0 0
.(..)(..). .(..)(..). o(..)(..).3o(..)(..).3x(..)(..). & ♦ 4 0 0 | 0 6 0 0 0 0 0 0 | 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 | * * * 60 * * * * * * * * * * * * * * * * * * | 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1 0 1 0 0 0 1 0 0
x(x.)(..).3o(o.)(..). .(..)(..). .(..)(..). .(..)(..).&#x & ♦ 3 3 0 | 3 0 3 0 3 0 0 0 | 1 0 0 3 0 0 0 0 1 0 0 0 0 0 0 | * * * * 120 * * * * * * * * * * * * * * * * * | 0 0 0 0 0 2 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 0 1 0 2 0 0 0 0 0
x(x.)(..). .(..)(..). o(x.)(..). .(..)(..). .(..)(..).&#x & ♦ 2 4 0 | 1 0 4 0 2 2 0 0 | 0 0 0 2 2 0 0 0 0 1 0 0 0 0 0 | * * * * * 360 * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 0 0 1 1 1 0 0 0 0
x(x.)(..). .(..)(..). .(..)(..). .(..)(..). x(o.)(..).&#x & ♦ 4 2 0 | 2 2 4 0 1 0 0 0 | 0 1 0 2 0 2 0 0 0 0 0 0 0 0 0 | * * * * * * 360 * * * * * * * * * * * * * * * | 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 0 0 0
.(..)(..). o(o.)(..).3o(x.)(..). .(..)(..). .(..)(..).&#x & ♦ 1 3 0 | 0 0 3 0 0 3 0 0 | 0 0 0 0 3 0 0 0 0 0 1 0 0 0 0 | * * * * * * * 240 * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 | 0 0 0 1 0 1 1 0 0
.(..)(..). .(..)(..). o(x.)(..).3o(o.)(..). .(..)(..).&#x & ♦ 1 3 0 | 0 0 3 0 0 3 0 0 | 0 0 0 0 3 0 0 0 0 0 0 1 0 0 0 | * * * * * * * * 240 * * * * * * * * * * * * * | 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 | 0 0 1 0 1 1 1 0 0
.(..)(..). .(..)(..). o(x.)(..). .(..)(..). x(o.)(..).&#x & ♦ 2 2 0 | 0 1 4 0 0 1 0 0 | 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 | * * * * * * * * * 360 * * * * * * * * * * * * | 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 1 0 0 1 0 0
.(..)(..). .(..)(..). .(..)(..). o(o.)(..).3x(o.)(..).&#x & ♦ 3 1 0 | 0 3 3 0 0 0 0 0 | 0 0 1 0 0 3 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * 120 * * * * * * * * * * * | 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 | 0 1 2 0 0 0 1 0 0
x(xo)(o.). .(..)(..). .(..)(..). .(..)(..). .(..)(..).&#xt & ♦ 2 3 1 | 1 0 2 2 1 0 2 1 | 0 0 0 1 0 0 2 1 0 0 0 0 1 0 0 | * * * * * * * * * * * 360 * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 | 0 0 0 2 1 0 0 0 0
.(..)(..). .(..)(..). o(xo)(x.). .(..)(..). .(..)(..).&#xt & ♦ 1 4 1 | 0 0 2 1 0 2 2 2 | 0 0 0 0 1 0 2 0 0 0 0 0 0 1 1 | * * * * * * * * * * * * 720 * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 | 0 0 0 1 1 1 0 0 0
x(.o)(..).3o(.o)(..). .(..)(..). .(..)(..). .(..)(..).&#x & ♦ 3 0 1 | 3 0 0 3 0 0 0 0 | 1 0 0 0 0 0 0 3 0 0 0 0 0 0 0 | * * * * * * * * * * * * * 120 * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 0 0 0 | 0 0 0 2 0 0 0 1 0
.(x.)(..). .(..)(..). .(x.)(..).3.(o.)(..). .(..)(..). & ♦ 0 6 0 | 0 0 0 0 3 6 0 0 | 0 0 0 0 0 0 0 0 0 3 0 2 0 0 0 | * * * * * * * * * * * * * * 120 * * * * * * * | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 | 0 0 1 1 1 0 0 0 0
.(..)(..). .(..)(..). .(x.)(..).3.(o.)(..).3.(o.)(..). & ♦ 0 4 0 | 0 0 0 0 0 6 0 0 | 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 | * * * * * * * * * * * * * * * 60 * * * * * * | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 | 0 0 1 1 0 0 1 0 0
.(x.)(o.).3.(o.)(o.). .(..)(..). .(..)(..). .(..)(..).&#x & ♦ 0 4 0 | 0 0 0 0 3 0 3 0 | 0 0 0 0 0 0 0 0 1 0 0 0 3 0 0 | * * * * * * * * * * * * * * * * 120 * * * * * | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 0 | 0 0 0 2 0 0 0 0 1
.(x.)(o.). .(..)(..). .(x.)(x.). .(..)(..). .(..)(..).&#x & ♦ 0 6 0 | 0 0 0 0 2 3 4 0 | 0 0 0 0 0 0 0 0 0 1 0 0 2 2 0 | * * * * * * * * * * * * * * * * * 360 * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 | 0 0 0 2 1 0 0 0 0
.(x.)(o.). .(..)(..). .(..)(..). .(..)(..). .(o.)(x.).&#x ♦ 0 4 0 | 0 0 0 0 2 0 4 0 | 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 | * * * * * * * * * * * * * * * * * * 180 * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 | 0 0 0 2 0 0 0 0 1
.(..)(..). .(o.)(o.).3.(x.)(x.). .(..)(..). .(..)(..).&#x & ♦ 0 6 0 | 0 0 0 0 0 6 3 0 | 0 0 0 0 0 0 0 0 0 0 1 1 0 3 0 | * * * * * * * * * * * * * * * * * * * 240 * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 | 0 0 0 1 1 1 0 0 0
.(..)(..). .(o.)(.o).3.(x.)(.o). .(..)(..). .(..)(..).&#x & ♦ 0 3 1 | 0 0 0 0 0 3 0 3 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 3 | * * * * * * * * * * * * * * * * * * * * 120 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 | 0 0 0 0 1 2 1 0 0
.(..)(..). .(..)(..). .(x.)(.o).3.(o.)(.o). .(..)(..).&#x & ♦ 0 3 1 | 0 0 0 0 0 3 0 3 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 3 | * * * * * * * * * * * * * * * * * * * * * 240 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 | 0 0 0 1 0 1 1 0 0
-------------------------------------------------------------+-----------+--------------------------------+------------------------------------------------------------+--------------------------------------------------------------------------------------+------------------------------------------------------------------------------+---------------------------
x(..)(..).3o(..)(..).3o(..)(..).3o(..)(..). .(..)(..). & ♦ 5 0 0 | 10 0 0 0 0 0 0 0 | 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12 * * * * * * * * * * * * * * * * * * * * * | 1 0 0 0 0 0 0 1 0
x(..)(..).3o(..)(..).3o(..)(..). .(..)(..). x(..)(..). & ♦ 8 0 0 | 12 4 0 0 0 0 0 0 | 8 6 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 30 * * * * * * * * * * * * * * * * * * * * | 1 0 0 1 0 0 0 0 0
x(..)(..).3o(..)(..). .(..)(..). o(..)(..).3x(..)(..). & ♦ 9 0 0 | 9 9 0 0 0 0 0 0 | 3 9 3 0 0 0 0 0 0 0 0 0 0 0 0 | 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * 40 * * * * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0
x(..)(..). .(..)(..). o(..)(..).3o(..)(..).3x(..)(..). & ♦ 8 0 0 | 4 12 0 0 0 0 0 0 | 0 6 8 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * 30 * * * * * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 0
.(..)(..). o(..)(..).3o(..)(..).3o(..)(..).3x(..)(..). & ♦ 5 0 0 | 0 10 0 0 0 0 0 0 | 0 0 10 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * 12 * * * * * * * * * * * * * * * * * | 1 0 0 0 0 0 1 0 0
x(x.)(..).3o(o.)(..). .(..)(..). .(..)(..). x(o.)(..).&#x & ♦ 6 3 0 | 6 3 6 0 3 0 0 0 | 2 3 0 6 0 3 0 0 1 0 0 0 0 0 0 | 0 1 0 0 2 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * 120 * * * * * * * * * * * * * * * * | 0 1 0 1 0 0 0 0 0
x(x.)(..). .(..)(..). o(x.)(..).3o(o.)(..). .(..)(..).&#x & ♦ 2 6 0 | 1 0 6 0 3 6 0 0 | 0 0 0 3 6 0 0 0 0 3 0 2 0 0 0 | 0 0 0 0 0 3 0 0 2 0 0 0 0 0 1 0 0 0 0 0 0 0 | * * * * * * 120 * * * * * * * * * * * * * * * | 0 0 1 0 1 0 0 0 0
x(x.)(..). .(..)(..). o(x.)(..). .(..)(..). x(o.)(..).&#x & ♦ 4 4 0 | 2 2 8 0 2 2 0 0 | 0 1 0 4 4 4 0 0 0 1 0 0 0 0 0 | 0 0 0 0 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * 180 * * * * * * * * * * * * * * | 0 0 1 1 0 0 0 0 0
x(x.)(..). .(..)(..). .(..)(..). o(o.)(..).3x(o.)(..).&#x & ♦ 6 2 0 | 3 6 6 0 1 0 0 0 | 0 3 2 3 0 6 0 0 0 0 0 0 0 0 0 | 0 0 1 0 0 0 3 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * 120 * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0
.(..)(..). o(o.)(..).3o(x.)(..). .(..)(..). x(o.)(..).&#x & ♦ 2 3 0 | 0 1 6 0 0 3 0 0 | 0 0 0 0 6 3 0 0 0 0 1 0 0 0 0 | 0 0 0 0 0 0 0 2 0 3 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * * 120 * * * * * * * * * * * * | 0 0 0 1 0 0 1 0 0
.(..)(..). .(..)(..). o(x.)(..).3o(o.)(..).3x(o.)(..).&#x & ♦ 4 4 0 | 0 6 12 0 0 6 0 0 | 0 0 4 0 12 12 0 0 0 0 0 4 0 0 0 | 0 0 0 1 0 0 0 0 4 6 4 0 0 0 0 1 0 0 0 0 0 0 | * * * * * * * * * * 60 * * * * * * * * * * * | 0 0 1 0 0 0 1 0 0
x(xo)(o.).3o(oo)(o.). .(..)(..). .(..)(..). .(..)(..).&#xt & ♦ 3 4 1 | 3 0 3 3 3 0 3 1 | 1 0 0 3 0 0 3 3 1 0 0 0 3 0 0 | 0 0 0 0 1 0 0 0 0 0 0 3 0 1 0 0 1 0 0 0 0 0 | * * * * * * * * * * * 120 * * * * * * * * * * | 0 0 0 2 0 0 0 0 0
x(xo)(o.). .(..)(..). o(xo)(x.). .(..)(..). .(..)(..).&#xt & ♦ 2 6 1 | 1 0 4 2 2 3 4 2 | 0 0 0 2 2 0 4 1 0 1 0 0 2 2 1 | 0 0 0 0 0 1 0 0 0 0 0 2 2 0 0 0 0 1 0 0 0 0 | * * * * * * * * * * * * 360 * * * * * * * * * | 0 0 0 1 1 0 0 0 0
.(..)(..). o(oo)(o.).3o(xo)(x.). .(..)(..). .(..)(..).&#xt & ♦ 1 6 1 | 0 0 3 1 0 6 3 3 | 0 0 0 0 3 0 3 0 0 0 1 1 0 3 3 | 0 0 0 0 0 0 0 1 0 0 0 0 3 0 0 0 0 0 0 1 0 1 | * * * * * * * * * * * * * 240 * * * * * * * * | 0 0 0 1 0 1 0 0 0
.(..)(..). .(..)(..). o(xo)(x.).3o(oo)(o.). .(..)(..).&#xt & ♦ 1 6 1 | 0 0 3 1 0 6 3 3 | 0 0 0 0 3 0 3 0 0 0 1 1 0 3 3 | 0 0 0 0 0 0 0 0 1 0 0 0 3 0 0 0 0 0 0 1 1 0 | * * * * * * * * * * * * * * 240 * * * * * * * | 0 0 0 0 1 1 0 0 0
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.(x.)(o.). .(..)(..). .(x.)(x.). .(..)(..). .(o.)(x.).&#x ♦ 0 8 0 | 0 0 0 0 4 4 8 0 | 0 0 0 0 0 0 0 0 0 2 0 0 8 4 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 2 0 0 0 | * * * * * * * * * * * * * * * * * * * * 90 * | 0 0 0 2 0 0 0 0 0
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-------------------------------------------------------------+-----------+--------------------------------+------------------------------------------------------------+--------------------------------------------------------------------------------------+------------------------------------------------------------------------------+---------------------------
x(..)(..).3o(..)(..).3o(..)(..).3o(..)(..).3x(..)(..). & ♦ 30 0 0 | 60 60 0 0 0 0 0 0 | 60 90 60 0 0 0 0 0 0 0 0 0 0 0 0 | 30 60 60 30 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6 15 20 15 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 * * * * * * * *
x(x.)(..).3o(o.)(..). .(..)(..). o(o.)(..).3x(o.)(..).&#x & ♦ 9 3 0 | 9 9 9 0 3 0 0 0 | 3 9 3 9 0 9 0 0 1 0 0 0 0 0 0 | 0 3 3 0 3 0 9 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 0 0 3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 40 * * * * * * *
x(x.)(..). .(..)(..). o(x.)(..).3o(o.)(..).3x(o.)(..).&#x & ♦ 8 8 0 | 4 12 24 0 4 12 0 0 | 0 6 8 12 24 24 0 0 0 6 0 8 0 0 0 | 0 0 4 2 0 12 12 0 8 12 8 0 0 0 4 2 0 0 0 0 0 0 | 0 0 0 1 0 0 4 6 4 0 2 0 0 0 0 0 0 1 0 0 0 0 | * * 30 * * * * * *
x(xo)(o.).3o(oo)(o.).3o(xo)(x.). .(..)(..). x(ou)(x.).&#xt & ♦ 8 20 2 | 12 4 24 8 12 24 24 8 | 8 6 0 24 24 12 24 12 4 12 4 8 36 24 12 | 2 4 0 0 8 12 12 8 0 12 0 24 24 8 4 2 8 24 12 8 0 8 | 0 1 0 0 0 4 0 6 0 4 0 8 12 8 0 0 2 1 4 4 6 2 | * * * 30 * * * * *
x(xo)(o.). .(..)(..). o(xo)(x.).3o(oo)(o.). .(..)(..).&#xr & ♦ 2 9 1 | 1 0 6 6 3 9 6 3 | 0 0 0 3 6 0 6 1 0 3 1 2 3 6 3 | 0 0 0 0 0 3 0 0 2 0 0 3 6 0 1 0 0 3 0 2 1 0 | 0 0 0 0 0 0 1 0 0 0 0 0 3 0 2 0 0 0 0 1 0 0 | * * * * 120 * * * *
.(..)(..). o(oo)(oo)o3o(xo)(xo)o3o(oo)(oo)o .(..)(..).&#xt ♦ 2 12 2 | 0 0 12 2 0 24 6 12 | 0 0 0 0 24 0 12 0 0 0 8 8 0 12 24 | 0 0 0 0 0 0 0 8 8 0 0 0 24 0 0 0 0 0 0 8 8 8 | 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 2 0 0 0 0 0 0 | * * * * * 30 * * * cycle (ABEFDC)
.(..)(..). o(o.)(.o).3o(x.)(.o).3o(o.)(.o).3x(o.)(.o).&#xt & ♦ 5 10 1 | 0 10 30 0 0 30 0 10 | 0 0 10 0 60 30 0 0 0 0 10 20 0 0 30 | 0 0 0 5 0 0 0 20 20 30 10 0 0 0 0 5 0 0 0 0 10 20 | 0 0 0 0 1 0 0 0 0 10 5 0 0 0 0 5 0 0 0 0 0 5 | * * * * * * 12 * *
x(.o)(..).3o(.o)(..).3o(.o)(..).3o(.o)(..). .(..)(..).&#x & ♦ 5 0 1 | 10 0 0 5 0 0 0 0 | 10 0 0 0 0 0 0 10 0 0 0 0 0 0 0 | 5 0 0 0 0 0 0 0 0 0 0 0 0 10 0 0 0 0 0 0 0 0 | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0 | * * * * * * * 12 *
.(x.)(o.).3.(o.)(o.). .(..)(..). .(o.)(o.).3.(o.)(x.).&#x ♦ 0 6 0 | 0 0 0 0 6 0 9 0 | 0 0 0 0 0 0 0 0 2 0 0 0 18 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 9 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 0 0 | * * * * * * * * 20