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Acronym
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sadi (alt.: idex)
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Name
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snub icositetrachoron,
snub disicositetrachoron,
semistruncated icositetrachoron,
icositetradiminished hexacosachoron,
snub rhombatohexadecachoron
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Cross sections
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 ©
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Circumradius
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(1+sqrt(5))/2 = 1.618034
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Lace city
in approx. ASCII-art
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 ©
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o3o
x3o f3o o3x
o3o o3f f3x x3f o3o
o3F F3o o3f
o3x x3f F3o o3F f3x x3o
f3o o3F F3o
o3o f3x x3f f3o o3o
x3o o3f o3x
o3o
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 ©
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o2x f2o x2f f2o o2x
x2o o2F F2x o2F x2o
o2f F2o f2F F2o o2f
f2x x2F F2f F2f x2F f2x
o2f F2o f2F F2o o2f
x2o o2F F2x o2F x2o
o2x f2o x2f f2o o2x
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Coordinates
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(τ2/2, τ/2, 1/2, 0) & even permutations, all changes of sign
where τ = (1+sqrt(5))/2
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Vertex figure
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 ©
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General of army
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(is itself convex)
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Colonel of regiment
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(is itself locally convex
– uniform polychoral members:
)
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Dihedral angles
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- at {3} between tet and tet: arccos[-(1+3 sqrt(5))/8] = 164.477512°
- at {3} between ike and tet: arccos[-sqrt(5/8)] = 142.238756°
- at {3} between ike and ike: 120°
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Dual
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quidex
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Face vector
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96, 432, 480, 144
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Confer
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- uniform relative:
-
ex
- related CRFs:
-
idsrix
idprix
idsid pixhi
bidex
oooxxxfffFFFVooo FxfoFfxFofxooVoo xfFFfoFoxxofooVo fFxfoFoxFofxoooV&#zx
- segmentochora:
-
ikepy
- related orbiform:
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tridex
- compounds:
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disti
- decompositions:
-
tes || sadi
ico || sadi
- ambification:
-
risadi
- general polytopal classes:
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subsymmetrical diminishings
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External
links
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As abstract polytope sadi is isomorph to rasdi, thereby replacing
pentagons by pentagrams, resp. by replacing ike by gike.
Sadi is a special diminishing of the hexacosachoron (ex).
In fact, into ex an f-ico can be vertex inscribed.
If those 24 vertices of ex would be chopped off, resulting in an icosahedral
section each, the outcome is nothing but sadi.
Note that sadi can be thought of as the external blend of
1 tes + 16 ikepies + 32 pens
+ 24 bidraps + 8 cubaikes + 96 squascs.
This decomposition is described as the degenerate segmentoteron
os3os3os4xo&#x.
–
Alternatively it can be decomposed into
1 ico + 24 ikepies + 96 pens
+ 24 raps + 96 octpies according to
os3os4oo3xo&#x.
Because sadi is derived by some secondary process only (diminishing, faceting or snubbing), instead of a primary Wythoff construction,
it is much more remarkable that it still allows for truncation (tisadi) and rectification (risadi). And even more
interesting, both these polychora then happen to come out to be CRF polytopes as well!
This polychoron has ionic icoic symmetry.
The name snub rhombatohexadecachoron esp. refers to the general s3s3s4o variant.
Incidence matrix according to Dynkin symbol
s3s4o3o
demi( . . . . ) | 96 ♦ 3 6 | 3 9 3 | 3 1 4
----------------+----+---------+-----------+---------
. s4o . | 2 | 144 * | 0 2 2 | 1 1 2
sefa( s3s . . ) | 2 | * 288 | 1 2 0 | 2 0 1
----------------+----+---------+-----------+---------
s3s . . ♦ 3 | 0 3 | 96 * * | 2 0 0
sefa( s3s4o . ) | 3 | 1 2 | * 288 * | 1 0 1
sefa( . s4o3o ) | 3 | 3 0 | * * 96 | 0 1 1
----------------+----+---------+-----------+---------
s3s4o . ♦ 12 | 6 24 | 8 12 0 | 24 * *
. s4o3o ♦ 4 | 6 0 | 0 0 4 | * 24 *
sefa( s3s4o3o ) ♦ 4 | 3 3 | 0 3 1 | * * 96
starting figure: x3x4o3o
s3s3s4o
demi( . . . . ) | 96 ♦ 2 1 2 4 | 1 2 6 3 3 | 2 1 1 4
----------------+----+--------------+-----------------+-----------
s 2 s . | 2 | 96 * * * | 0 0 2 2 0 | 1 1 0 2
. . s4o | 2 | * 48 * * | 0 0 0 2 2 | 0 1 1 2
sefa( s3s . . ) | 2 | * * 96 * | 1 0 2 0 0 | 2 0 0 1
sefa( . s3s . ) | 2 | * * * 192 | 0 1 1 0 1 | 1 0 1 1
----------------+----+--------------+-----------------+-----------
s3s . . ♦ 3 | 0 0 3 0 | 32 * * * * | 2 0 0 0
. s3s . ♦ 3 | 0 0 0 3 | * 64 * * * | 1 0 1 0
sefa( s3s3s . ) | 3 | 1 0 1 1 | * * 192 * * | 1 0 0 1
sefa( s 2 s4o ) | 3 | 2 1 0 0 | * * * 96 * | 0 1 0 1
sefa( . s3s4o ) | 3 | 0 1 0 2 | * * * * 96 | 0 0 1 1
----------------+----+--------------+-----------------+-----------
s3s3s . ♦ 12 | 6 0 12 12 | 4 4 12 0 0 | 16 * * *
s 2 s4o ♦ 4 | 4 2 0 0 | 0 0 0 4 0 | * 24 * *
. s3s4o ♦ 12 | 0 6 0 24 | 0 8 0 0 12 | * * 8 *
sefa( s3s3s4o ) ♦ 4 | 2 1 1 2 | 0 0 2 1 1 | * * * 96
starting figure: x3x3x4o
s3s3s *b3s
demi( . . . . ) | 96 ♦ 1 1 1 2 2 2 | 1 1 1 3 3 3 3 | 1 1 1 1 4
-------------------+----+-------------------+----------------------+------------
s 2 s . | 2 | 48 * * * * * | 0 0 0 2 0 2 0 | 1 0 1 0 2
s 2 . s | 2 | * 48 * * * * | 0 0 0 0 2 2 0 | 0 1 1 0 2
. 2 s s | 2 | * * 48 * * * | 0 0 0 0 0 2 2 | 0 0 1 1 2
sefa( s3s . . ) | 2 | * * * 96 * * | 1 0 0 1 1 0 0 | 1 1 0 0 1
sefa( . s3s . ) | 2 | * * * * 96 * | 0 1 0 1 0 0 1 | 1 0 0 1 1
sefa( . s . *b3s ) | 2 | * * * * * 96 | 0 0 1 0 1 0 1 | 0 1 0 1 1
-------------------+----+-------------------+----------------------+------------
s3s . . ♦ 3 | 0 0 0 3 0 0 | 32 * * * * * * | 1 1 0 0 0
. s3s . ♦ 3 | 0 0 0 0 3 0 | * 32 * * * * * | 1 0 0 1 0
. s . *b3s ♦ 3 | 0 0 0 0 0 3 | * * 32 * * * * | 0 1 0 1 0
sefa( s3s3s . ) | 3 | 1 0 0 1 1 0 | * * * 96 * * * | 1 0 0 0 1
sefa( s3s . *b3s ) | 3 | 0 1 0 1 0 1 | * * * * 96 * * | 0 1 0 0 1
sefa( s 2 s 2 s ) | 3 | 1 1 1 0 0 0 | * * * * * 96 * | 0 0 1 0 1
sefa( . s3s *b3s ) | 3 | 0 0 1 0 1 1 | * * * * * * 96 | 0 0 0 1 1
-------------------+----+-------------------+----------------------+------------
s3s3s . ♦ 12 | 6 0 0 12 12 0 | 4 4 0 12 0 0 0 | 8 * * * *
s3s . *b3s ♦ 12 | 0 6 0 12 0 12 | 4 0 4 0 12 0 0 | * 8 * * *
s 2 s 2 s ♦ 4 | 2 2 2 0 0 0 | 0 0 0 0 0 4 0 | * * 24 * *
. s3s *b3s ♦ 12 | 0 0 6 0 12 12 | 0 4 4 0 0 0 12 | * * * 8 *
sefa( s3s3s *b3s ) ♦ 4 | 1 1 1 1 1 1 | 0 0 0 1 1 1 1 | * * * * 96
starting figure: x3x3x *b3x
fox3ooo3xfo *b3oxf&#zx → all heights = 0
(tegum sum of 3 cyclically gyrated (f,x)-rits)
o..3o..3o.. *b3o.. | 32 * * ♦ 3 3 3 0 0 0 | 3 3 6 3 0 0 0 | 1 1 3 3 0 0 0
.o.3.o.3.o. *b3.o. | * 32 * ♦ 0 3 0 3 3 0 | 0 6 0 3 3 3 0 | 0 3 0 3 1 1 0
..o3..o3..o *b3..o | * * 32 ♦ 0 0 3 0 3 3 | 0 0 3 3 0 6 3 | 0 0 1 3 0 3 1
-----------------------+----------+-------------------+----------------------+------------------
... ... x.. ... | 2 0 0 | 48 * * * * * | 2 0 2 0 0 0 0 | 1 0 2 1 0 0 0
oo.3oo.3oo. *b3oo.&#x | 1 1 0 | * 96 * * * * | 0 2 0 1 0 0 0 | 0 1 0 2 0 0 0
o.o3o.o3o.o *b3o.o&#x | 1 0 1 | * * 96 * * * | 0 0 2 1 0 0 0 | 0 0 1 2 0 0 0
... ... ... .x. | 0 2 0 | * * * 48 * * | 0 2 0 0 2 0 0 | 0 2 0 1 1 0 0
.oo3.oo3.oo *b3.oo&#x | 0 1 1 | * * * * 96 * | 0 0 0 1 0 2 0 | 0 0 0 2 0 1 0
..x ... ... ... | 0 0 2 | * * * * * 48 | 0 0 0 0 0 2 2 | 0 0 0 1 0 2 1
-----------------------+----------+-------------------+----------------------+------------------
... o..3x.. ... | 3 0 0 | 3 0 0 0 0 0 | 32 * * * * * * | 1 0 1 0 0 0 0
... ... ... ox.&#x | 1 2 0 | 0 2 0 1 0 0 | * 96 * * * * * | 0 1 0 1 0 0 0
... ... x.o ...&#x | 2 0 1 | 1 0 2 0 0 0 | * * 96 * * * * | 0 0 1 1 0 0 0
ooo3ooo3ooo *b3ooo&#x | 1 1 1 | 0 1 1 0 1 0 | * * * 96 * * * | 0 0 0 2 0 0 0
... .o. ... *b3.x. | 0 3 0 | 0 0 0 3 0 0 | * * * * 32 * * | 0 1 0 0 1 0 0
.ox ... ... ... | 0 1 2 | 0 0 0 0 2 1 | * * * * * 96 * | 0 0 0 1 0 1 0
..x3..o ... ... | 0 0 3 | 0 0 0 0 0 3 | * * * * * * 32 | 0 0 0 0 0 1 1
-----------------------+----------+-------------------+----------------------+------------------
... o..3x.. *b3o.. ♦ 4 0 0 | 6 0 0 0 0 0 | 4 0 0 0 0 0 0 | 8 * * * * * *
... oo. ... *b3ox.&#x ♦ 1 3 0 | 0 3 0 3 0 0 | 0 3 0 0 1 0 0 | * 32 * * * * *
... o.o3x.o ...&#x ♦ 3 0 1 | 3 0 3 0 0 0 | 1 0 3 0 0 0 0 | * * 32 * * * *
fox ... xfo oxf&#zx ♦ 4 4 4 | 2 8 8 2 8 2 | 0 4 4 8 0 4 0 | * * * 24 * * *
.o.3.o. ... *b3.x. ♦ 0 4 0 | 0 0 0 6 0 0 | 0 0 0 0 4 0 0 | * * * * 8 * *
.ox3.oo ... ...&#x ♦ 0 1 3 | 0 0 0 0 3 3 | 0 0 0 0 0 3 1 | * * * * * 32 *
..x3..o3..o ... ♦ 0 0 4 | 0 0 0 0 0 6 | 0 0 0 0 0 0 4 | * * * * * * 8
or
o..3o..3o.. *b3o.. & | 96 ♦ 3 6 | 3 9 3 | 1 4 3
-------------------------+----+---------+-----------+---------
... ... x.. ... & | 2 | 144 * | 2 2 0 | 1 2 1
oo.3oo.3oo. *b3oo.&#x & | 2 | * 288 | 0 2 1 | 0 1 2
-------------------------+----+---------+-----------+---------
... o..3x.. ... & | 3 | 3 0 | 96 * * | 1 1 0
... ... ... ox.&#x & | 3 | 1 2 | * 288 * | 0 1 1
ooo3ooo3ooo *b3ooo&#x | 3 | 0 3 | * * 96 | 0 0 2
-------------------------+----+---------+-----------+---------
... o..3x.. *b3o.. & ♦ 4 | 6 0 | 4 0 0 | 24 * *
... oo. ... *b3ox.&#x & ♦ 4 | 3 3 | 1 3 0 | * 96 *
fox ... xfo oxf&#zx ♦ 12 | 6 24 | 0 12 8 | * * 24
oooxxxfffFFF FxfoFfxFofxo xfFFfoFoxxof fFxfoFoxFofx &#zx → all existing heights = 0
o........... o........... o........... o........... | 8 * * * * * * * * * * * ♦ 1 1 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
.o.......... .o.......... .o.......... .o.......... | * 8 * * * * * * * * * * ♦ 0 1 0 0 0 0 1 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 0 0 2 0 0 0 0 2 1 2 2 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 0 0 0 2 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0
..o......... ..o......... ..o......... ..o......... | * * 8 * * * * * * * * * ♦ 0 0 1 0 0 0 0 1 0 0 0 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 1 2 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 0 0 2 1 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0
...o........ ...o........ ...o........ ...o........ | * * * 8 * * * * * * * * ♦ 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 2 2 1 2 0 0 0 2 2 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 2 2 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0
....o....... ....o....... ....o....... ....o....... | * * * * 8 * * * * * * * ♦ 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 2 1 0 0 2 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0
.....o...... .....o...... .....o...... .....o...... | * * * * * 8 * * * * * * ♦ 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 2 1 2 0 0 0 2 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 0 0 1 1 2 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0
......o..... ......o..... ......o..... ......o..... | * * * * * * 8 * * * * * ♦ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 1 0 0 0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 2 2 0 1 0 0 0 0 0 2 1 2 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 2 0 0 0 0 1 0 1 2 0 0 1 1 0 0 0 0 0
.......o.... .......o.... .......o.... .......o.... | * * * * * * * 8 * * * * ♦ 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 1 2 2 0 0 0 0 0 0 0 | 0 0 1 0 1 2 0 0 0 0 0 0 0 0 2 0 0 0 1 1 0 0 0
........o... ........o... ........o... ........o... | * * * * * * * * 8 * * * ♦ 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 0 0 0 0 0 0 1 2 2 0 0 0 0 | 0 0 0 0 0 2 0 0 1 1 0 0 0 0 0 2 0 0 0 0 1 1 0
.........o.. .........o.. .........o.. .........o.. | * * * * * * * * * 8 * * ♦ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 2 0 0 0 0 1 2 2 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 0 2 2 1 2 0 0 0 2 1 2 0 | 0 0 0 0 0 2 0 0 0 0 0 0 0 0 1 0 0 1 1 2 0 0 1
..........o. ..........o. ..........o. ..........o. | * * * * * * * * * * 8 * ♦ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 2 0 0 2 0 1 2 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 0 2 2 1 2 1 0 2 2 | 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 2 1
...........o ...........o ...........o ...........o | * * * * * * * * * * * 8 ♦ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 1 0 0 2 0 2 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 1 2 2 0 0 0 0 0 2 0 2 2 1 | 0 0 0 0 0 2 0 0 0 0 0 0 0 1 0 0 1 2 0 0 0 1 1
---------------------------------------------------------+-------------------------+-------------------------------------------------------------------------------------------------------+---------------------------------------------------------------------------------------------------------+-----------------------------------------------
............ ............ x........... ............ | 2 0 0 0 0 0 0 0 0 0 0 0 | 4 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
oo.......... oo.......... oo.......... oo..........&#x | 1 1 0 0 0 0 0 0 0 0 0 0 | * 8 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 1 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0
o.o......... o.o......... o.o......... o.o.........&#x | 1 0 1 0 0 0 0 0 0 0 0 0 | * * 8 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 1 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
o...o....... o...o....... o...o....... o...o.......&#x | 1 0 0 0 1 0 0 0 0 0 0 0 | * * * 16 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
o....o...... o....o...... o....o...... o....o......&#x | 1 0 0 0 0 1 0 0 0 0 0 0 | * * * * 16 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
o......o.... o......o.... o......o.... o......o....&#x | 1 0 0 0 0 0 0 1 0 0 0 0 | * * * * * 16 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0
............ .x.......... ............ ............ | 0 2 0 0 0 0 0 0 0 0 0 0 | * * * * * * 4 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0
.oo......... .oo......... .oo......... .oo.........&#x | 0 1 1 0 0 0 0 0 0 0 0 0 | * * * * * * * 8 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
.o.o........ .o.o........ .o.o........ .o.o........&#x | 0 1 0 1 0 0 0 0 0 0 0 0 | * * * * * * * * 16 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
.o...o...... .o...o...... .o...o...... .o...o......&#x | 0 1 0 0 0 1 0 0 0 0 0 0 | * * * * * * * * * 16 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
.o......o... .o......o... .o......o... .o......o...&#x | 0 1 0 0 0 0 0 0 1 0 0 0 | * * * * * * * * * * 16 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0
............ ............ ............ ..x......... | 0 0 2 0 0 0 0 0 0 0 0 0 | * * * * * * * * * * * 4 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0
..oo........ ..oo........ ..oo........ ..oo........&#x | 0 0 1 1 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * 16 * * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
..o.o....... ..o.o....... ..o.o....... ..o.o.......&#x | 0 0 1 0 1 0 0 0 0 0 0 0 | * * * * * * * * * * * * * 16 * * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0
..o...o..... ..o...o..... ..o...o..... ..o...o.....&#x | 0 0 1 0 0 0 1 0 0 0 0 0 | * * * * * * * * * * * * * * 16 * * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0
...x........ ............ ............ ............ | 0 0 0 2 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * 4 * * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0
...o..o..... ...o..o..... ...o..o..... ...o..o.....&#x | 0 0 0 1 0 0 1 0 0 0 0 0 | * * * * * * * * * * * * * * * * 16 * * * * * * * * * * * * * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0
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