Acronym | sircope, K-4.66 |
Name |
small-rhombicuboctahedron prism, medial (cube-first) subsegment of sidpith |
Segmentochoron display | |
Cross sections |
© |
Circumradius | sqrt[(3+sqrt(2))/2] = 1.485633 |
Lace city in approx. ASCII-art |
x4o x4x x4x x4o x4o x4x x4x x4o |
Coordinates | ((1+sqrt(2))/2, 1/2, 1/2, 1/2) & all permutations in all but last coord., all changes of sign |
Volume | [12+10 sqrt(2)]/3 = 8.714045 |
General of army | (is itself convex) |
Colonel of regiment | (is itself locally convex – other uniform polyhedral members: soccope & others) |
Dihedral angles | |
Face vector | 48, 120, 100, 28 |
Confer |
|
External links |
As abstract polytope sircope is isomorphic to quercope, thereby replacing prograde trips by retrograde ones and sirco by querco.
When augmenting the 6 full symmetrical cubes of sircope by cubpies it results in dapabdi poxic. Then the thus introduced squippies would happen to be corealmic with the remaining (only prism symmetric) cubes and thus recombine into esquidpies.
The blend of 4 sircopes results in shafipto.
Incidence matrix according to Dynkin symbol
x x3o4x . . . . | 48 | 1 2 2 | 2 2 1 2 1 | 1 2 1 1 --------+----+----------+----------------+--------- x . . . | 2 | 24 * * | 2 2 0 0 0 | 1 2 1 0 . x . . | 2 | * 48 * | 1 0 1 1 0 | 1 1 0 1 . . . x | 2 | * * 48 | 0 1 0 1 1 | 0 1 1 1 --------+----+----------+----------------+--------- x x . . | 4 | 2 2 0 | 24 * * * * | 1 1 0 0 x . . x | 4 | 2 0 2 | * 24 * * * | 0 1 1 0 . x3o . | 3 | 0 3 0 | * * 16 * * | 1 0 0 1 . x . x | 4 | 0 2 2 | * * * 24 * | 0 1 0 1 . . o4x | 4 | 0 0 4 | * * * * 12 | 0 0 1 1 --------+----+----------+----------------+--------- x x3o . ♦ 6 | 3 6 0 | 3 0 2 0 0 | 8 * * * x x . x ♦ 8 | 4 4 4 | 2 2 0 2 0 | * 12 * * x . o4x ♦ 8 | 4 0 8 | 0 4 0 0 2 | * * 6 * . x3o4x ♦ 24 | 0 24 24 | 0 0 8 12 6 | * * * 2 snubbed forms: x2x3o4s, s2x3o4s
x x3/2o4/3x . . . . | 48 | 1 2 2 | 2 2 1 2 1 | 1 2 1 1 ------------+----+----------+----------------+--------- x . . . | 2 | 24 * * | 2 2 0 0 0 | 1 2 1 0 . x . . | 2 | * 48 * | 1 0 1 1 0 | 1 1 0 1 . . . x | 2 | * * 48 | 0 1 0 1 1 | 0 1 1 1 ------------+----+----------+----------------+--------- x x . . | 4 | 2 2 0 | 24 * * * * | 1 1 0 0 x . . x | 4 | 2 0 2 | * 24 * * * | 0 1 1 0 . x3/2o . | 3 | 0 3 0 | * * 16 * * | 1 0 0 1 . x . x | 4 | 0 2 2 | * * * 24 * | 0 1 0 1 . . o4/3x | 4 | 0 0 4 | * * * * 12 | 0 0 1 1 ------------+----+----------+----------------+--------- x x3/2o . ♦ 6 | 3 6 0 | 3 0 2 0 0 | 8 * * * x x . x ♦ 8 | 4 4 4 | 2 2 0 2 0 | * 12 * * x . o4/3x ♦ 8 | 4 0 8 | 0 4 0 0 2 | * * 6 * . x3/2o4/3x ♦ 24 | 0 24 24 | 0 0 8 12 6 | * * * 2
x s3s4x . demi( . . . ) | 48 | 1 1 2 1 | 1 2 1 1 1 2 | 1 1 2 1 ----------------+----+-------------+-------------------+--------- x demi( . . . ) | 2 | 24 * * * | 1 2 1 0 0 0 | 1 1 2 0 . demi( . . x ) | 2 | * 24 * * | 1 0 0 0 1 1 | 0 1 1 1 . sefa( s3s . ) | 2 | * * 48 * | 0 1 0 1 0 1 | 1 0 1 1 . sefa( . s4x ) | 2 | * * * 24 | 0 0 1 0 1 1 | 0 1 1 1 ----------------+----+-------------+-------------------+--------- x demi( . . x ) | 4 | 2 2 0 0 | 12 * * * * * | 0 1 1 0 x sefa( s3s . ) | 4 | 2 0 2 0 | * 24 * * * * | 1 0 1 0 x sefa( . s4x ) | 4 | 2 0 0 2 | * * 12 * * * | 0 1 1 0 . s3s . | 3 | 0 0 3 0 | * * * 16 * * | 1 0 0 1 . . s4x | 4 | 0 2 0 2 | * * * * 12 * | 0 1 0 1 . sefa( s3s4x ) | 4 | 0 1 2 1 | * * * * * 24 | 0 0 1 1 ----------------+----+-------------+-------------------+--------- x s3s . ♦ 6 | 3 0 6 0 | 0 3 0 2 0 0 | 8 * * * x . s4x ♦ 8 | 4 4 0 4 | 2 0 2 0 2 0 | * 6 * * x sefa( s3s4x ) ♦ 8 | 4 2 4 2 | 1 2 1 0 0 2 | * * 12 * . s3s4x ♦ 24 | 0 12 24 12 | 0 0 0 8 6 12 | * * * 2
x2s3s4x demi( . . . . ) | 48 | 1 1 2 1 | 1 1 1 2 1 2 | 1 1 1 2 ----------------+----+-------------+-------------------+--------- demi( x . . . ) | 2 | 24 * * * | 1 0 0 2 1 0 | 1 1 0 2 demi( . . . x ) | 2 | * 24 * * | 1 0 1 0 0 1 | 0 1 1 1 sefa( . s3s . ) | 2 | * * 48 * | 0 1 0 1 0 1 | 1 0 1 1 sefa( . . s4x ) | 2 | * * * 24 | 0 0 1 0 1 1 | 0 1 1 1 ----------------+----+-------------+-------------------+--------- demi( x . . x ) | 4 | 2 2 0 0 | 12 * * * * * | 0 1 0 1 . s3s . | 3 | 0 0 3 0 | * 16 * * * * | 1 0 1 0 . . s4x | 4 | 0 2 0 2 | * * 12 * * * | 0 1 1 0 sefa( x2s3s . ) | 4 | 2 0 2 0 | * * * 24 * * | 1 0 0 1 sefa( x 2 s4x ) | 4 | 2 0 0 2 | * * * * 12 * | 0 1 0 1 sefa( . s3s4x ) | 4 | 0 1 2 1 | * * * * * 24 | 0 0 1 1 ----------------+----+-------------+-------------------+--------- x2s3s . ♦ 6 | 3 0 6 0 | 0 2 0 3 0 0 | 8 * * * x 2 s4x ♦ 8 | 4 4 0 4 | 2 0 2 0 2 0 | * 6 * * . s3s4x ♦ 24 | 0 12 24 12 | 0 8 6 0 0 12 | * * 2 * sefa( x2s3s4x ) ♦ 8 | 4 2 4 2 | 1 0 0 2 1 2 | * * * 12 starting figure: x x3x4x
xx3oo4xx&#x → height = 1
(sirco || sirco)
o.3o.4o. | 24 * | 2 2 1 0 0 | 1 2 1 2 2 0 0 0 | 1 1 2 1 0
.o3.o4.o | * 24 | 0 0 1 2 2 | 0 0 0 2 2 1 2 1 | 0 1 2 1 1
------------+-------+----------------+---------------------+-----------
x. .. .. | 2 0 | 24 * * * * | 1 1 0 1 0 0 0 0 | 1 1 1 0 0
.. .. x. | 2 0 | * 24 * * * | 0 1 1 0 1 0 0 0 | 1 0 1 1 0
oo3oo4oo&#x | 1 1 | * * 24 * * | 0 0 0 2 2 0 0 0 | 0 1 2 1 0
.x .. .. | 0 2 | * * * 24 * | 0 0 0 1 0 1 1 0 | 0 1 1 0 1
.. .. .x | 0 2 | * * * * 24 | 0 0 0 0 1 0 1 1 | 0 0 1 1 1
------------+-------+----------------+---------------------+-----------
x.3o. .. | 3 0 | 3 0 0 0 0 | 8 * * * * * * * | 1 1 0 0 0
x. .. x. | 4 0 | 2 2 0 0 0 | * 12 * * * * * * | 1 0 1 0 0
.. o.4x. | 4 0 | 0 4 0 0 0 | * * 6 * * * * * | 1 0 0 1 0
xx .. ..&#x | 2 2 | 1 0 2 1 0 | * * * 24 * * * * | 0 1 1 0 0
.. .. xx&#x | 2 2 | 0 1 2 0 1 | * * * * 24 * * * | 0 0 1 1 0
.x3.o .. | 0 3 | 0 0 0 3 0 | * * * * * 8 * * | 0 1 0 0 1
.x .. .x | 0 4 | 0 0 0 2 2 | * * * * * * 12 * | 0 0 1 0 1
.. .o4.x | 0 4 | 0 0 0 0 4 | * * * * * * * 6 | 0 0 0 1 1
------------+-------+----------------+---------------------+-----------
x.3o.4x. ♦ 24 0 | 24 24 0 0 0 | 8 12 6 0 0 0 0 0 | 1 * * * *
xx3oo ..&#x ♦ 3 3 | 3 0 3 3 0 | 1 0 0 3 0 1 0 0 | * 8 * * *
xx .. xx&#x ♦ 4 4 | 2 2 4 2 2 | 0 1 0 2 2 0 1 0 | * * 12 * *
.. oo4xx&#x ♦ 4 4 | 0 4 4 0 4 | 0 0 1 0 4 0 0 1 | * * * 6 *
.x3.o4.x ♦ 0 24 | 0 0 0 24 24 | 0 0 0 0 0 8 12 6 | * * * * 1
xxxx xxxx4oxxo&#xt → outer heights = 1/sqrt(2) = 0.707107 inner height = 1 (cube || pseudo op || pseudo op || cube) o... o...4o... | 8 * * * | 1 2 2 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 0 | 1 2 1 1 0 0 0 0 0 .o.. .o..4.o.. | * 16 * * | 0 0 1 1 1 1 1 0 0 0 0 0 0 | 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 | 0 1 1 1 1 1 0 0 0 ..o. ..o.4..o. | * * 16 * | 0 0 0 0 0 0 1 1 1 1 1 0 0 | 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 | 0 0 0 1 1 1 1 1 0 ...o ...o4...o | * * * 8 | 0 0 0 0 0 0 0 0 0 0 2 1 2 | 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 2 1 | 0 0 0 1 0 0 2 1 1 -------------------+-----------+------------------------------+-----------------------------------+------------------ x... .... .... | 2 0 0 0 | 4 * * * * * * * * * * * * | 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0 0 0 0 .... x... .... | 2 0 0 0 | * 8 * * * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0 0 0 0 oo.. oo..4oo..&#x | 1 1 0 0 | * * 16 * * * * * * * * * * | 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 0 0 0 .x.. .... .... | 0 2 0 0 | * * * 8 * * * * * * * * * | 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 | 0 1 1 0 1 1 0 0 0 .... .x.. .... | 0 2 0 0 | * * * * 8 * * * * * * * * | 0 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 0 | 0 1 0 1 1 0 0 0 0 .... .... .x.. | 0 2 0 0 | * * * * * 8 * * * * * * * | 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 | 0 0 1 1 0 1 0 0 0 .oo. .oo.4.oo.&#x | 0 1 1 0 | * * * * * * 16 * * * * * * | 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. .... .... | 0 0 2 0 | * * * * * * * 8 * * * * * | 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 | 0 0 0 0 1 1 1 1 0 .... ..x. .... | 0 0 2 0 | * * * * * * * * 8 * * * * | 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 | 0 0 0 1 1 0 1 0 0 .... .... ..x. | 0 0 2 0 | * * * * * * * * * 8 * * * | 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 | 0 0 0 1 0 1 0 1 0 ..oo ..oo4..oo&#x | 0 0 1 1 | * * * * * * * * * * 16 * * | 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 | 0 0 0 1 0 0 1 1 0 ...x .... .... | 0 0 0 2 | * * * * * * * * * * * 4 * | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 | 0 0 0 0 0 0 2 1 1 .... ...x .... | 0 0 0 2 | * * * * * * * * * * * * 8 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 | 0 0 0 1 0 0 1 0 1 -------------------+-----------+------------------------------+-----------------------------------+------------------ x... x... .... | 4 0 0 0 | 2 2 0 0 0 0 0 0 0 0 0 0 0 | 4 * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 .... x...4o... | 4 0 0 0 | 0 4 0 0 0 0 0 0 0 0 0 0 0 | * 2 * * * * * * * * * * * * * * * | 1 0 0 1 0 0 0 0 0 xx.. .... ....&#x | 2 2 0 0 | 1 0 2 1 0 0 0 0 0 0 0 0 0 | * * 8 * * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 .... xx.. ....&#x | 2 2 0 0 | 0 1 2 0 1 0 0 0 0 0 0 0 0 | * * * 8 * * * * * * * * * * * * * | 0 1 0 1 0 0 0 0 0 .... .... ox..&#x | 1 2 0 0 | 0 0 2 0 0 1 0 0 0 0 0 0 0 | * * * * 8 * * * * * * * * * * * * | 0 0 1 1 0 0 0 0 0 .x.. .x.. .... | 0 4 0 0 | 0 0 0 2 2 0 0 0 0 0 0 0 0 | * * * * * 4 * * * * * * * * * * * | 0 1 0 0 1 0 0 0 0 .x.. .... .x.. | 0 4 0 0 | 0 0 0 2 0 2 0 0 0 0 0 0 0 | * * * * * * 4 * * * * * * * * * * | 0 0 1 0 0 1 0 0 0 .xx. .... ....&#x | 0 2 2 0 | 0 0 0 1 0 0 2 1 0 0 0 0 0 | * * * * * * * 8 * * * * * * * * * | 0 0 0 0 1 1 0 0 0 .... .xx. ....&#x | 0 2 2 0 | 0 0 0 0 1 0 2 0 1 0 0 0 0 | * * * * * * * * 8 * * * * * * * * | 0 0 0 1 1 0 0 0 0 .... .... .xx.&#x | 0 2 2 0 | 0 0 0 0 0 1 2 0 0 1 0 0 0 | * * * * * * * * * 8 * * * * * * * | 0 0 0 1 0 1 0 0 0 ..x. ..x. .... | 0 0 4 0 | 0 0 0 0 0 0 0 2 2 0 0 0 0 | * * * * * * * * * * 4 * * * * * * | 0 0 0 0 1 0 1 0 0 ..x. .... ..x. | 0 0 4 0 | 0 0 0 0 0 0 0 2 0 2 0 0 0 | * * * * * * * * * * * 4 * * * * * | 0 0 0 0 0 1 0 1 0 ..xx .... ....&#x | 0 0 2 2 | 0 0 0 0 0 0 0 1 0 0 2 1 0 | * * * * * * * * * * * * 8 * * * * | 0 0 0 0 0 0 1 1 0 .... ..xx ....&#x | 0 0 2 2 | 0 0 0 0 0 0 0 0 1 0 2 0 1 | * * * * * * * * * * * * * 8 * * * | 0 0 0 1 0 0 1 0 0 .... .... ..xo&#x | 0 0 2 1 | 0 0 0 0 0 0 0 0 0 1 2 0 0 | * * * * * * * * * * * * * * 8 * * | 0 0 0 1 0 0 0 1 0 ...x ...x .... | 0 0 0 4 | 0 0 0 0 0 0 0 0 0 0 0 2 2 | * * * * * * * * * * * * * * * 4 * | 0 0 0 0 0 0 1 0 1 .... ...x4...o | 0 0 0 4 | 0 0 0 0 0 0 0 0 0 0 0 0 4 | * * * * * * * * * * * * * * * * 2 | 0 0 0 1 0 0 0 0 1 -------------------+-----------+------------------------------+-----------------------------------+------------------ x... x...4o... ♦ 8 0 0 0 | 4 8 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 | 1 * * * * * * * * xx.. xx.. ....&#x ♦ 4 4 0 0 | 2 2 4 2 2 0 0 0 0 0 0 0 0 | 1 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 | * 4 * * * * * * * xx.. .... ox..&#x ♦ 2 4 0 0 | 1 0 4 2 0 2 0 0 0 0 0 0 0 | 0 0 2 0 2 0 1 0 0 0 0 0 0 0 0 0 0 | * * 4 * * * * * * .... xxxx4oxxo&#xt ♦ 4 8 8 4 | 0 4 8 0 4 4 8 0 4 4 8 0 4 | 0 1 0 4 4 0 0 0 4 4 0 0 0 4 4 0 1 | * * * 2 * * * * * .xx. .xx. ....&#x ♦ 0 4 4 0 | 0 0 0 2 2 0 4 2 2 0 0 0 0 | 0 0 0 0 0 1 0 2 2 0 1 0 0 0 0 0 0 | * * * * 4 * * * * .xx. .... .xx.&#x ♦ 0 4 4 0 | 0 0 0 2 0 2 4 2 0 2 0 0 0 | 0 0 0 0 0 0 1 2 0 2 0 1 0 0 0 0 0 | * * * * * 4 * * * ..xx ..xx ....&#x ♦ 0 0 4 4 | 0 0 0 0 0 0 0 2 2 0 4 2 2 | 0 0 0 0 0 0 0 0 0 0 1 0 2 2 0 1 0 | * * * * * * 4 * * ..xx .... ..xo&#x ♦ 0 0 4 2 | 0 0 0 0 0 0 0 2 0 2 4 1 0 | 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 0 0 | * * * * * * * 4 * ...x ...x4...o ♦ 0 0 0 8 | 0 0 0 0 0 0 0 0 0 0 0 4 8 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 2 | * * * * * * * * 1
or o... o...4o... & | 16 * | 1 2 2 0 0 0 0 | 2 1 2 2 1 0 0 0 0 0 | 1 2 1 1 0 0 .o.. .o..4.o.. & | * 32 | 0 0 1 1 1 1 1 | 0 0 1 1 1 1 1 1 1 1 | 0 1 1 1 1 1 --------------------+-------+---------------------+------------------------+------------ x... .... .... & | 2 0 | 8 * * * * * * | 2 0 2 0 0 0 0 0 0 0 | 1 2 1 0 0 0 .... x... .... & | 2 0 | * 16 * * * * * | 1 1 0 1 0 0 0 0 0 0 | 1 1 0 1 0 0 oo.. oo..4oo..&#x & | 1 1 | * * 32 * * * * | 0 0 1 1 1 0 0 0 0 0 | 0 1 1 1 0 0 .x.. .... .... & | 0 2 | * * * 16 * * * | 0 0 1 0 0 1 1 1 0 0 | 0 1 1 0 1 1 .... .x.. .... & | 0 2 | * * * * 16 * * | 0 0 0 1 0 1 0 0 1 0 | 0 1 0 1 1 0 .... .... .x.. & | 0 2 | * * * * * 16 * | 0 0 0 0 1 0 1 0 0 1 | 0 0 1 1 0 1 .oo. .oo.4.oo.&#x | 0 2 | * * * * * * 16 | 0 0 0 0 0 0 0 1 1 1 | 0 0 0 1 1 1 --------------------+-------+---------------------+------------------------+------------ x... x... .... & | 4 0 | 2 2 0 0 0 0 0 | 8 * * * * * * * * * | 1 1 0 0 0 0 .... x...4o... & | 4 0 | 0 4 0 0 0 0 0 | * 4 * * * * * * * * | 1 0 0 1 0 0 xx.. .... ....&#x & | 2 2 | 1 0 2 1 0 0 0 | * * 16 * * * * * * * | 0 1 1 0 0 0 .... xx.. ....&#x & | 2 2 | 0 1 2 0 1 0 0 | * * * 16 * * * * * * | 0 1 0 1 0 0 .... .... ox..&#x & | 1 2 | 0 0 2 0 0 1 0 | * * * * 16 * * * * * | 0 0 1 1 0 0 .x.. .x.. .... & | 0 4 | 0 0 0 2 2 0 0 | * * * * * 8 * * * * | 0 1 0 0 1 0 .x.. .... .x.. & | 0 4 | 0 0 0 2 0 2 0 | * * * * * * 8 * * * | 0 0 1 0 0 1 .xx. .... ....&#x | 0 4 | 0 0 0 2 0 0 2 | * * * * * * * 8 * * | 0 0 0 0 1 1 .... .xx. ....&#x | 0 4 | 0 0 0 0 2 0 2 | * * * * * * * * 8 * | 0 0 0 1 1 0 .... .... .xx.&#x | 0 4 | 0 0 0 0 0 2 2 | * * * * * * * * * 8 | 0 0 0 1 0 1 --------------------+-------+---------------------+------------------------+------------ x... x...4o... & ♦ 8 0 | 4 8 0 0 0 0 0 | 4 2 0 0 0 0 0 0 0 0 | 2 * * * * * xx.. xx.. ....&#x & ♦ 4 4 | 2 2 4 2 2 0 0 | 1 0 2 2 0 1 0 0 0 0 | * 8 * * * * xx.. .... ox..&#x & ♦ 2 4 | 1 0 4 2 0 2 0 | 0 0 2 0 2 0 1 0 0 0 | * * 8 * * * .... xxxx4oxxo&#xt ♦ 8 16 | 0 8 16 0 8 8 8 | 0 2 0 8 8 0 0 0 4 4 | * * * 2 * * .xx. .xx. ....&#x ♦ 0 8 | 0 0 0 4 4 0 4 | 0 0 0 0 0 2 0 2 2 0 | * * * * 4 * .xx. .... .xx.&#x ♦ 0 8 | 0 0 0 4 0 4 4 | 0 0 0 0 0 0 2 2 0 2 | * * * * * 4
xxx wxx xwx xxw&#zx → height = 0 (tegum sum of 3 orthogonal (w,x,x,x)-teses.) o.. o.. o.. o.. | 16 * * | 1 1 1 1 1 0 0 0 0 0 0 0 | 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 | 1 1 1 1 1 0 0 0 .o. .o. .o. .o. | * 16 * | 0 0 0 1 0 1 1 1 1 0 0 0 | 0 0 0 1 1 0 0 1 1 1 1 1 1 0 0 0 | 0 1 0 1 1 1 1 0 ..o ..o ..o ..o | * * 16 | 0 0 0 0 1 0 0 0 1 1 1 1 | 0 0 0 0 0 1 1 1 0 0 0 1 1 1 1 1 | 0 0 1 1 1 0 1 1 --------------------+----------+----------------------------+----------------------------------+---------------- x.. ... ... ... | 2 0 0 | 8 * * * * * * * * * * * | 1 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 0 0 0 0 ... ... x.. ... | 2 0 0 | * 8 * * * * * * * * * * | 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1 0 1 0 1 0 0 0 ... ... ... x.. | 2 0 0 | * * 8 * * * * * * * * * | 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1 1 0 0 1 0 0 0 oo. oo. oo. oo.&#x | 1 1 0 | * * * 16 * * * * * * * * | 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 | 0 1 0 1 1 0 0 0 o.o o.o o.o o.o&#x | 1 0 1 | * * * * 16 * * * * * * * | 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. ... ... ... | 0 2 0 | * * * * * 8 * * * * * * | 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 0 | 0 1 0 1 0 1 1 0 ... .x. ... ... | 0 2 0 | * * * * * * 8 * * * * * | 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 | 0 0 0 0 1 1 1 0 ... ... ... .x. | 0 2 0 | * * * * * * * 8 * * * * | 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 | 0 1 0 0 1 1 0 0 .oo .oo .oo .oo&#x | 0 1 1 | * * * * * * * * 16 * * * | 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 | 0 0 0 1 1 0 1 0 ..x ... ... ... | 0 0 2 | * * * * * * * * * 8 * * | 0 0 0 0 0 1 0 0 0 0 0 1 0 1 1 0 | 0 0 1 1 0 0 1 1 ... ..x ... ... | 0 0 2 | * * * * * * * * * * 8 * | 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 | 0 0 0 0 1 0 1 1 ... ... ..x ... | 0 0 2 | * * * * * * * * * * * 8 | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 | 0 0 1 0 1 0 0 1 --------------------+----------+----------------------------+----------------------------------+---------------- x.. ... x.. ... | 4 0 0 | 2 2 0 0 0 0 0 0 0 0 0 0 | 4 * * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 x.. ... ... x.. | 4 0 0 | 2 0 2 0 0 0 0 0 0 0 0 0 | * 4 * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 ... ... x.. x.. | 4 0 0 | 0 2 2 0 0 0 0 0 0 0 0 0 | * * 4 * * * * * * * * * * * * * | 1 0 0 0 1 0 0 0 xx. ... ... ...&#x | 2 2 0 | 1 0 0 2 0 1 0 0 0 0 0 0 | * * * 8 * * * * * * * * * * * * | 0 1 0 1 0 0 0 0 ... ... ... xx.&#x | 2 2 0 | 0 0 1 2 0 0 0 1 0 0 0 0 | * * * * 8 * * * * * * * * * * * | 0 1 0 0 1 0 0 0 x.x ... ... ...&#x | 2 0 2 | 1 0 0 0 2 0 0 0 0 1 0 0 | * * * * * 8 * * * * * * * * * * | 0 0 1 1 0 0 0 0 ... ... x.x ...&#x | 2 0 2 | 0 1 0 0 2 0 0 0 0 0 0 1 | * * * * * * 8 * * * * * * * * * | 0 0 1 0 1 0 0 0 ooo ooo ooo ooo&#x | 1 1 1 | 0 0 0 1 1 0 0 0 1 0 0 0 | * * * * * * * 16 * * * * * * * * | 0 0 0 1 1 0 0 0 .x. .x. ... ... | 0 4 0 | 0 0 0 0 0 2 2 0 0 0 0 0 | * * * * * * * * 4 * * * * * * * | 0 0 0 0 0 1 1 0 .x. ... ... .x. | 0 4 0 | 0 0 0 0 0 2 0 2 0 0 0 0 | * * * * * * * * * 4 * * * * * * | 0 1 0 0 0 1 0 0 ... .x. ... .x. | 0 4 0 | 0 0 0 0 0 0 2 2 0 0 0 0 | * * * * * * * * * * 4 * * * * * | 0 0 0 0 1 1 0 0 .xx ... ... ...&#x | 0 2 2 | 0 0 0 0 0 1 0 0 2 1 0 0 | * * * * * * * * * * * 8 * * * * | 0 0 0 1 0 0 1 0 ... .xx ... ...&#x | 0 2 2 | 0 0 0 0 0 0 1 0 2 0 1 0 | * * * * * * * * * * * * 8 * * * | 0 0 0 0 1 0 1 0 ..x ..x ... ... | 0 0 4 | 0 0 0 0 0 0 0 0 0 2 2 0 | * * * * * * * * * * * * * 4 * * | 0 0 0 0 0 0 1 1 ..x ... ..x ... | 0 0 4 | 0 0 0 0 0 0 0 0 0 2 0 2 | * * * * * * * * * * * * * * 4 * | 0 0 1 0 0 0 0 1 ... ..x ..x ... | 0 0 4 | 0 0 0 0 0 0 0 0 0 0 2 2 | * * * * * * * * * * * * * * * 4 | 0 0 0 0 1 0 0 1 --------------------+----------+----------------------------+----------------------------------+---------------- x.. ... x.. x.. ♦ 8 0 0 | 4 4 4 0 0 0 0 0 0 0 0 0 | 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 * * * * * * * xx. ... ... xx.&#x ♦ 4 4 0 | 2 0 2 4 0 2 0 2 0 0 0 0 | 0 1 0 2 2 0 0 0 0 1 0 0 0 0 0 0 | * 4 * * * * * * x.x ... x.x ...&#x ♦ 4 0 4 | 2 2 0 0 4 0 0 0 0 2 0 2 | 1 0 0 0 0 2 2 0 0 0 0 0 0 0 1 0 | * * 4 * * * * * xxx ... ... ...&#x ♦ 2 2 2 | 1 0 0 2 2 1 0 0 2 1 0 0 | 0 0 0 1 0 1 0 2 0 0 0 1 0 0 0 0 | * * * 8 * * * * ... wxx xwx xxw&#zx ♦ 8 8 8 | 0 4 4 8 8 0 4 4 8 0 4 4 | 0 0 2 0 4 0 4 8 0 0 2 0 4 0 0 2 | * * * * 2 * * * .x. .x. ... .x. ♦ 0 8 0 | 0 0 0 0 0 4 4 4 0 0 0 0 | 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 | * * * * * 2 * * .xx .xx ... ...&#x ♦ 0 4 4 | 0 0 0 0 0 2 2 0 4 2 2 0 | 0 0 0 0 0 0 0 0 1 0 0 2 2 1 0 0 | * * * * * * 4 * ..x ..x ..x ... ♦ 0 0 8 | 0 0 0 0 0 0 0 0 0 4 4 4 | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 | * * * * * * * 2
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