| Acronym | srit | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Name |
small rhombated tesseract, cantellated tesseract | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Circumradius | sqrt[2+sqrt(2)] = 1.847759 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Vertex figure |
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| Vertex layers |
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Lace city in approx. ASCII-art |
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x3o x3q w3o o3w q3x o3x
o3x o3w x3w w3x w3o x3o
o3x o3w x3w w3x w3o x3o
x3o x3q w3o o3w q3x o3x
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| Coordinates | ((1+sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2) & all permutations, all changes of sign | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| General of army | (is itself convex) | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
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| Confer |
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External links |
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As abstract polytope srit is isomorphic to qrit, thereby replacing sirco by querco.
Augmenting oct-cupolae onto the sirco would lead to the spic (which would have an even larger symmetry)! Augmenting only a cycle of 4 of those results in cyted spic.
Just as tes can variously be seen as having full tessic symmetry or as having only a subsymmetric 4-duoprismatic one (fixing the 4-prism axis in each cube) here correspondingly the sircoes could be aligned into 2 great circles of 4 each. Moreover, the connecting squares are incident to 2 sircoes (face), 4 trips (sides), and 4 octs (vertices). The sectioning facet underneath those squares therfore is a {4} || op. These 2 duoprismatic great circles thus show that srit can be further diminished by 4 of those within each ring, resulting finally in an odip!
Incidence matrix according to Dynkin symbol
o3x3o4x . . . . | 96 | 4 2 | 2 2 4 1 | 1 2 2 --------+----+--------+-------------+-------- . x . . | 2 | 192 * | 1 1 1 0 | 1 1 1 . . . x | 2 | * 96 | 0 0 2 1 | 0 1 2 --------+----+--------+-------------+-------- o3x . . | 3 | 3 0 | 64 * * * | 1 1 0 . x3o . | 3 | 3 0 | * 64 * * | 1 0 1 . x . x | 4 | 2 2 | * * 96 * | 0 1 1 . . o4x | 4 | 0 4 | * * * 24 | 0 0 2 --------+----+--------+-------------+-------- o3x3o . ♦ 6 | 12 0 | 4 4 0 0 | 16 * * o3x . x ♦ 6 | 6 3 | 2 0 3 0 | * 32 * . x3o4x ♦ 24 | 24 24 | 0 8 12 6 | * * 8
o3x3/2o4/3x . . . . | 96 | 4 2 | 2 2 4 1 | 1 2 2 ------------+----+--------+-------------+-------- . x . . | 2 | 192 * | 1 1 1 0 | 1 1 1 . . . x | 2 | * 96 | 0 0 2 1 | 0 1 2 ------------+----+--------+-------------+-------- o3x . . | 3 | 3 0 | 64 * * * | 1 1 0 . x3/2o . | 3 | 3 0 | * 64 * * | 1 0 1 . x . x | 4 | 2 2 | * * 96 * | 0 1 1 . . o4/3x | 4 | 0 4 | * * * 24 | 0 0 2 ------------+----+--------+-------------+-------- o3x3/2o . ♦ 6 | 12 0 | 4 4 0 0 | 16 * * o3x . x ♦ 6 | 6 3 | 2 0 3 0 | * 32 * . x3/2o4/3x ♦ 24 | 24 24 | 0 8 12 6 | * * 8
o3/2x3o4x . . . . | 96 | 4 2 | 2 2 4 1 | 1 2 2 ----------+----+--------+-------------+-------- . x . . | 2 | 192 * | 1 1 1 0 | 1 1 1 . . . x | 2 | * 96 | 0 0 2 1 | 0 1 2 ----------+----+--------+-------------+-------- o3/2x . . | 3 | 3 0 | 64 * * * | 1 1 0 . x3o . | 3 | 3 0 | * 64 * * | 1 0 1 . x . x | 4 | 2 2 | * * 96 * | 0 1 1 . . o4x | 4 | 0 4 | * * * 24 | 0 0 2 ----------+----+--------+-------------+-------- o3/2x3o . ♦ 6 | 12 0 | 4 4 0 0 | 16 * * o3/2x . x ♦ 6 | 6 3 | 2 0 3 0 | * 32 * . x3o4x ♦ 24 | 24 24 | 0 8 12 6 | * * 8
o3/2x3/2o4/3x . . . . | 96 | 4 2 | 2 2 4 1 | 1 2 2 --------------+----+--------+-------------+-------- . x . . | 2 | 192 * | 1 1 1 0 | 1 1 1 . . . x | 2 | * 96 | 0 0 2 1 | 0 1 2 --------------+----+--------+-------------+-------- o3/2x . . | 3 | 3 0 | 64 * * * | 1 1 0 . x3/2o . | 3 | 3 0 | * 64 * * | 1 0 1 . x . x | 4 | 2 2 | * * 96 * | 0 1 1 . . o4/3x | 4 | 0 4 | * * * 24 | 0 0 2 --------------+----+--------+-------------+-------- o3/2x3/2o . ♦ 6 | 12 0 | 4 4 0 0 | 16 * * o3/2x . x ♦ 6 | 6 3 | 2 0 3 0 | * 32 * . x3/2o4/3x ♦ 24 | 24 24 | 0 8 12 6 | * * 8
xoox3oxxo4xxxx&#xt → outer heights = 1/sqrt(2) = 0.707107
inner height = 1
(sirco || pseudo tic || pseudo tic || sirco)
o...3o...4o... | 24 * * * | 2 2 2 0 0 0 0 0 0 0 0 | 1 2 1 2 1 2 0 0 0 0 0 0 0 0 0 0 | 1 1 2 1 0 0 0 0
.o..3.o..4.o.. | * 24 * * | 0 0 2 2 1 1 0 0 0 0 0 | 0 0 0 1 2 2 1 2 1 0 0 0 0 0 0 0 | 0 1 1 2 1 0 0 0
..o.3..o.4..o. | * * 24 * | 0 0 0 0 0 1 2 1 2 0 0 | 0 0 0 0 0 0 0 2 1 1 1 2 2 0 0 0 | 0 0 0 2 1 1 1 0
...o3...o4...o | * * * 24 | 0 0 0 0 0 0 0 0 2 2 2 | 0 0 0 0 0 0 0 0 0 0 2 1 2 1 2 1 | 0 0 0 1 0 1 2 1
-------------------+-------------+----------------------------------+-------------------------------------------+------------------
x... .... .... | 2 0 0 0 | 24 * * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0 0 0
.... .... x... | 2 0 0 0 | * 24 * * * * * * * * * | 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 | 1 0 1 1 0 0 0 0
oo..3oo..4oo..&#x | 1 1 0 0 | * * 48 * * * * * * * * | 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0 0 0
.... .x.. .... | 0 2 0 0 | * * * 24 * * * * * * * | 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 | 0 1 0 1 1 0 0 0
.... .... .x.. | 0 2 0 0 | * * * * 12 * * * * * * | 0 0 0 0 0 2 0 0 1 0 0 0 0 0 0 0 | 0 0 1 2 0 0 0 0
.oo.3.oo.4.oo.&#x | 0 1 1 0 | * * * * * 24 * * * * * | 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 | 0 0 0 2 1 0 0 0
.... ..x. .... | 0 0 2 0 | * * * * * * 24 * * * * | 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 | 0 0 0 1 1 1 0 0
.... .... ..x. | 0 0 2 0 | * * * * * * * 12 * * * | 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 | 0 0 0 2 0 0 1 0
..oo3..oo4..oo&#x | 0 0 1 1 | * * * * * * * * 48 * * | 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 | 0 0 0 1 0 1 1 0
...x .... .... | 0 0 0 2 | * * * * * * * * * 24 * | 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 | 0 0 0 0 0 1 1 1
.... .... ...x | 0 0 0 2 | * * * * * * * * * * 24 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 | 0 0 0 1 0 0 1 1
-------------------+-------------+----------------------------------+-------------------------------------------+------------------
x...3o... .... | 3 0 0 0 | 3 0 0 0 0 0 0 0 0 0 0 | 8 * * * * * * * * * * * * * * * | 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 | * 12 * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0
.... o...4x... | 4 0 0 0 | 0 4 0 0 0 0 0 0 0 0 0 | * * 6 * * * * * * * * * * * * * | 1 0 0 1 0 0 0 0
xo.. .... ....&#x | 2 1 0 0 | 1 0 2 0 0 0 0 0 0 0 0 | * * * 24 * * * * * * * * * * * * | 0 1 1 0 0 0 0 0
.... ox.. ....&#x | 1 2 0 0 | 0 0 2 1 0 0 0 0 0 0 0 | * * * * 24 * * * * * * * * * * * | 0 1 0 1 0 0 0 0
.... .... xx..&#x | 2 2 0 0 | 0 1 2 0 1 0 0 0 0 0 0 | * * * * * 24 * * * * * * * * * * | 0 0 1 1 0 0 0 0
.o..3.x.. .... | 0 3 0 0 | 0 0 0 3 0 0 0 0 0 0 0 | * * * * * * 8 * * * * * * * * * | 0 1 0 0 1 0 0 0
.... .xx. ....&#x | 0 2 2 0 | 0 0 0 1 0 2 1 0 0 0 0 | * * * * * * * 24 * * * * * * * * | 0 0 0 1 1 0 0 0
.... .... .xx.&#x | 0 2 2 0 | 0 0 0 0 1 2 0 1 0 0 0 | * * * * * * * * 12 * * * * * * * | 0 0 0 2 0 0 0 0
..o.3..x. .... | 0 0 3 0 | 0 0 0 0 0 0 3 0 0 0 0 | * * * * * * * * * 8 * * * * * * | 0 0 0 0 1 1 0 0
..ox .... ....&#x | 0 0 1 2 | 0 0 0 0 0 0 0 0 2 1 0 | * * * * * * * * * * 24 * * * * * | 0 0 0 0 0 1 1 0
.... ..xo ....&#x | 0 0 2 1 | 0 0 0 0 0 0 1 0 2 0 0 | * * * * * * * * * * * 24 * * * * | 0 0 0 1 0 1 0 0
.... .... ..xx&#x | 0 0 2 2 | 0 0 0 0 0 0 0 1 2 0 1 | * * * * * * * * * * * * 24 * * * | 0 0 0 1 0 0 1 0
...x3...o .... | 0 0 0 3 | 0 0 0 0 0 0 0 0 0 3 0 | * * * * * * * * * * * * * 8 * * | 0 0 0 0 0 1 0 1
...x .... ...x | 0 0 0 4 | 0 0 0 0 0 0 0 0 0 2 2 | * * * * * * * * * * * * * * 12 * | 0 0 0 0 0 0 1 1
.... ...o4...x | 0 0 0 4 | 0 0 0 0 0 0 0 0 0 0 4 | * * * * * * * * * * * * * * * 6 | 0 0 0 1 0 0 0 1
-------------------+-------------+----------------------------------+-------------------------------------------+------------------
x...3o...4x... ♦ 24 0 0 0 | 24 24 0 0 0 0 0 0 0 0 0 | 8 12 6 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * *
xo..3ox.. ....&#x ♦ 3 3 0 0 | 3 0 6 3 0 0 0 0 0 0 0 | 1 0 0 3 3 0 1 0 0 0 0 0 0 0 0 0 | * 8 * * * * * *
xo.. .... xx..&#x ♦ 4 2 0 0 | 2 2 4 0 1 0 0 0 0 0 0 | 0 1 0 2 0 2 0 0 0 0 0 0 0 0 0 0 | * * 12 * * * * *
.... oxxo4xxxx&#xt ♦ 4 8 8 4 | 0 4 8 4 4 8 4 4 8 0 4 | 0 0 1 0 4 4 0 4 4 0 0 4 4 0 0 1 | * * * 6 * * * *
.oo.3.xx. ....&#x ♦ 0 3 3 0 | 0 0 0 3 0 3 3 0 0 0 0 | 0 0 0 0 0 0 1 3 0 1 0 0 0 0 0 0 | * * * * 8 * * *
..ox3..xo ....&#x ♦ 0 0 3 3 | 0 0 0 0 0 0 3 0 6 3 0 | 0 0 0 0 0 0 0 0 0 1 3 3 0 1 0 0 | * * * * * 8 * *
..ox .... ..xx&#x ♦ 0 0 2 4 | 0 0 0 0 0 0 0 1 4 2 2 | 0 0 0 0 0 0 0 0 0 0 2 0 2 0 1 0 | * * * * * * 12 *
...x3...o4...x ♦ 0 0 0 24 | 0 0 0 0 0 0 0 0 0 24 24 | 0 0 0 0 0 0 0 0 0 0 0 0 0 8 12 6 | * * * * * * * 1
or
o...3o...4o... & | 48 * | 2 2 2 0 0 0 | 1 2 1 2 1 2 0 0 0 | 1 1 2 1 0
.o..3.o..4.o.. & | * 48 | 0 0 2 2 1 1 | 0 0 0 1 2 2 1 2 1 | 0 1 1 2 1
---------------------+-------+-------------------+----------------------------+------------
x... .... .... & | 2 0 | 48 * * * * * | 1 1 0 1 0 0 0 0 0 | 1 1 1 0 0
.... .... x... & | 2 0 | * 48 * * * * | 0 1 1 0 0 1 0 0 0 | 1 0 1 1 0
oo..3oo..4oo..&#x & | 1 1 | * * 96 * * * | 0 0 0 1 1 1 0 0 0 | 0 1 1 1 0
.... .x.. .... & | 0 2 | * * * 48 * * | 0 0 0 0 1 0 1 1 0 | 0 1 0 1 1
.... .... .x.. & | 0 2 | * * * * 24 * | 0 0 0 0 0 2 0 0 1 | 0 0 1 2 0
.oo.3.oo.4.oo.&#x | 0 2 | * * * * * 24 | 0 0 0 0 0 0 0 2 1 | 0 0 0 2 1
---------------------+-------+-------------------+----------------------------+------------
x...3o... .... & | 3 0 | 3 0 0 0 0 0 | 16 * * * * * * * * | 1 1 0 0 0
x... .... x... & | 4 0 | 2 2 0 0 0 0 | * 24 * * * * * * * | 1 0 1 0 0
.... o...4x... & | 4 0 | 0 4 0 0 0 0 | * * 12 * * * * * * | 1 0 0 1 0
xo.. .... ....&#x & | 2 1 | 1 0 2 0 0 0 | * * * 48 * * * * * | 0 1 1 0 0
.... ox.. ....&#x & | 1 2 | 0 0 2 1 0 0 | * * * * 48 * * * * | 0 1 0 1 0
.... .... xx..&#x & | 2 2 | 0 1 2 0 1 0 | * * * * * 48 * * * | 0 0 1 1 0
.o..3.x.. .... & | 0 3 | 0 0 0 3 0 0 | * * * * * * 16 * * | 0 1 0 0 1
.... .xx. ....&#x | 0 4 | 0 0 0 2 0 2 | * * * * * * * 24 * | 0 0 0 1 1
.... .... .xx.&#x | 0 4 | 0 0 0 0 2 2 | * * * * * * * * 12 | 0 0 0 2 0
---------------------+-------+-------------------+----------------------------+------------
x...3o...4x... & ♦ 24 0 | 24 24 0 0 0 0 | 8 12 6 0 0 0 0 0 0 | 2 * * * *
xo..3ox.. ....&#x & ♦ 3 3 | 3 0 6 3 0 0 | 1 0 0 3 3 0 1 0 0 | * 16 * * *
xo.. .... xx..&#x & ♦ 4 2 | 2 2 4 0 1 0 | 0 1 0 2 0 2 0 0 0 | * * 24 * *
.... oxxo4xxxx&#xt ♦ 8 16 | 0 8 16 8 8 8 | 0 0 2 0 8 8 0 4 4 | * * * 6 *
.oo.3.xx. ....&#x ♦ 0 6 | 0 0 0 6 0 3 | 0 0 0 0 0 0 2 3 0 | * * * * 8
oqowxxooo3xxwoqowxx3oooxxwoqo&#xt → height(1,2) = height(2,3) = height(4,5) = height(5,6) = height(7,8) = height(8,9) = 1/2
height(3,4) = height(6,7) = [sqrt(2)-1]/2 = 0.207107
(oct || (q,x)-tut || w-oct || (w,x)-co || (x,q,x)-toe || (x,w)-co || w-oct || inv (q,x)-tut || oct)
o........3o........3o........ | 6 * * * * * * * * | 4 2 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 | 1 2 2 0 0 0 0 0 0 0 0
.o.......3.o.......3.o....... | * 12 * * * * * * * | 0 1 2 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 2 1 1 2 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 2 1 1 0 0 0 0 0 0
..o......3..o......3..o...... | * * 6 * * * * * * | 0 0 0 2 0 4 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 1 0 0 0 4 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 2 0 2 1 0 0 0 0 0
...o.....3...o.....3...o..... | * * * 12 * * * * * | 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 1 2 2 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 1 2 0 1 0 0 0 0
....o....3....o....3....o.... | * * * * 24 * * * * | 0 0 0 0 0 1 0 1 1 1 1 1 0 0 0 0 0 0 | 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 | 0 0 1 0 1 1 1 1 0 0 0
.....o...3.....o...3.....o... | * * * * * 12 * * * | 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 2 1 2 1 0 0 0 0 0 | 0 0 1 0 0 0 1 2 1 0 0
......o..3......o..3......o.. | * * * * * * 6 * * | 0 0 0 0 0 0 0 0 0 0 0 4 0 0 2 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 4 0 0 0 1 0 0 0 0 | 0 0 0 0 0 1 2 2 0 0 0
.......o.3.......o.3.......o. | * * * * * * * 12 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 2 1 1 2 0 0 | 0 0 0 0 0 0 2 1 1 1 0
........o3........o3........o | * * * * * * * * 6 | 0 0 0 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 1 0 4 2 2 | 0 0 0 0 0 0 2 0 0 2 1
----------------------------------+------------------------+-------------------------------------------------------+------------------------------------------------------------------+------------------------
......... x........ ......... | 2 0 0 0 0 0 0 0 0 | 12 * * * * * * * * * * * * * * * * * | 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 | 1 1 1 0 0 0 0 0 0 0 0
oo.......3oo.......3oo.......&#x | 1 1 0 0 0 0 0 0 0 | * 12 * * * * * * * * * * * * * * * * | 0 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 1 2 0 0 0 0 0 0 0 0
......... .x....... ......... | 0 2 0 0 0 0 0 0 0 | * * 12 * * * * * * * * * * * * * * * | 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 1 1 1 0 0 0 0 0 0 0
.oo......3.oo......3.oo......&#x | 0 1 1 0 0 0 0 0 0 | * * * 12 * * * * * * * * * * * * * * | 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 | 0 0 2 0 1 0 0 0 0 0 0
.o.o.....3.o.o.....3.o.o.....&#x | 0 1 0 1 0 0 0 0 0 | * * * * 24 * * * * * * * * * * * * * | 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 1 1 1 0 0 0 0 0 0
..o.o....3..o.o....3..o.o....&#x | 0 0 1 0 1 0 0 0 0 | * * * * * 24 * * * * * * * * * * * * | 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 1 0 1 1 0 0 0 0 0
......... ......... ...x..... | 0 0 0 2 0 0 0 0 0 | * * * * * * 12 * * * * * * * * * * * | 0 0 0 0 0 0 1 0 0 0 1 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
...oo....3...oo....3...oo....&#x | 0 0 0 1 1 0 0 0 0 | * * * * * * * 24 * * * * * * * * * * | 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 0 1 0 1 0 0 0 0
....x.... ......... ......... | 0 0 0 0 2 0 0 0 0 | * * * * * * * * 12 * * * * * * * * * | 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 1 0 0 1 0 1 0 0 0
......... ......... ....x.... | 0 0 0 0 2 0 0 0 0 | * * * * * * * * * 12 * * * * * * * * | 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 | 0 0 0 0 1 1 1 0 0 0 0
....oo...3....oo...3....oo...&#x | 0 0 0 0 1 1 0 0 0 | * * * * * * * * * * 24 * * * * * * * | 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 1 0 0 0 1 1 0 0 0
....o.o..3....o.o..3....o.o..&#x | 0 0 0 0 1 0 1 0 0 | * * * * * * * * * * * 24 * * * * * * | 0 0 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 1 1 1 0 0 0
.....x... ......... ......... | 0 0 0 0 0 2 0 0 0 | * * * * * * * * * * * * 12 * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 | 0 0 1 0 0 0 0 1 1 0 0
.....o.o.3.....o.o.3.....o.o.&#x | 0 0 0 0 0 1 0 1 0 | * * * * * * * * * * * * * 24 * * * * | 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 1 1 1 0 0
......oo.3......oo.3......oo.&#x | 0 0 0 0 0 0 1 1 0 | * * * * * * * * * * * * * * 12 * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 0 0 0 0 | 0 0 0 0 0 0 2 1 0 0 0
......... .......x. ......... | 0 0 0 0 0 0 0 2 0 | * * * * * * * * * * * * * * * 12 * * | 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 1 0 1 1 0
.......oo3.......oo3.......oo&#x | 0 0 0 0 0 0 0 1 1 | * * * * * * * * * * * * * * * * 12 * | 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 0 0 0 2 0 0 1 0
......... ........x ......... | 0 0 0 0 0 0 0 0 2 | * * * * * * * * * * * * * * * * * 12 | 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 | 0 0 0 0 0 0 1 0 0 1 1
----------------------------------+------------------------+-------------------------------------------------------+------------------------------------------------------------------+------------------------
o........3x........ ......... | 3 0 0 0 0 0 0 0 0 | 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 4 * * * * * * * * * * * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 0 0 0
......... x........3o........ | 3 0 0 0 0 0 0 0 0 | 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 4 * * * * * * * * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 0 0
......... xx....... .........&#x | 2 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 | * * 12 * * * * * * * * * * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 0 0
oqo...... ......... .........&#xt | 1 2 1 0 0 0 0 0 0 | 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * 6 * * * * * * * * * * * * * * * * * * * * * | 0 0 2 0 0 0 0 0 0 0 0
......... .x.......3.o....... | 0 3 0 0 0 0 0 0 0 | 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * 4 * * * * * * * * * * * * * * * * * * * * | 0 1 0 1 0 0 0 0 0 0 0
......... .x.o..... .........&#x | 0 2 0 1 0 0 0 0 0 | 0 0 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * 12 * * * * * * * * * * * * * * * * * * * | 0 0 1 1 0 0 0 0 0 0 0
......... ......... .o.x.....&#x | 0 1 0 2 0 0 0 0 0 | 0 0 0 0 2 0 1 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * 12 * * * * * * * * * * * * * * * * * * | 0 0 0 1 1 0 0 0 0 0 0
.oooo....3.oooo....3.oooo....&#xr | 0 1 1 1 1 0 0 0 0 | 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 | * * * * * * * 24 * * * * * * * * * * * * * * * * * | 0 0 1 0 1 0 0 0 0 0 0
..o.x.... ......... .........&#x | 0 0 1 0 2 0 0 0 0 | 0 0 0 0 0 2 0 0 1 0 0 0 0 0 0 0 0 0 | * * * * * * * * 12 * * * * * * * * * * * * * * * * | 0 0 1 0 0 1 0 0 0 0 0
......... ......... ..o.x....&#x | 0 0 1 0 2 0 0 0 0 | 0 0 0 0 0 2 0 0 0 1 0 0 0 0 0 0 0 0 | * * * * * * * * * 12 * * * * * * * * * * * * * * * | 0 0 0 0 1 1 0 0 0 0 0
......... ...o.....3...x..... | 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 0 | * * * * * * * * * * 4 * * * * * * * * * * * * * * | 0 0 0 1 0 0 1 0 0 0 0
......... ......... ...xx....&#x | 0 0 0 2 2 0 0 0 0 | 0 0 0 0 0 0 1 2 0 1 0 0 0 0 0 0 0 0 | * * * * * * * * * * * 12 * * * * * * * * * * * * * | 0 0 0 0 1 0 1 0 0 0 0
......... ...oqo... .........&#xt | 0 0 0 1 2 1 0 0 0 | 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 | * * * * * * * * * * * * 12 * * * * * * * * * * * * | 0 0 1 0 0 0 1 0 0 0 0
....xx... ......... .........&#x | 0 0 0 0 2 2 0 0 0 | 0 0 0 0 0 0 0 0 1 0 2 0 1 0 0 0 0 0 | * * * * * * * * * * * * * 12 * * * * * * * * * * * | 0 0 1 0 0 0 0 1 0 0 0
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.....x.o. ......... .........&#x | 0 0 0 0 0 2 0 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 | * * * * * * * * * * * * * * * * * * 12 * * * * * * | 0 0 0 0 0 0 0 1 1 0 0
......... .....o.x. .........&#x | 0 0 0 0 0 1 0 2 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 | * * * * * * * * * * * * * * * * * * * 12 * * * * * | 0 0 0 0 0 0 1 0 1 0 0
......... ......... ......oqo&#xt | 0 0 0 0 0 0 1 2 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 | * * * * * * * * * * * * * * * * * * * * 6 * * * * | 0 0 0 0 0 0 2 0 0 0 0
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......... ........x3........o | 0 0 0 0 0 0 0 0 3 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 | * * * * * * * * * * * * * * * * * * * * * * * * 4 | 0 0 0 0 0 0 1 0 0 0 1
----------------------------------+------------------------+-------------------------------------------------------+------------------------------------------------------------------+------------------------
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......... xx.......3oo.......&#x ♦ 3 3 0 0 0 0 0 0 0 | 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 4 * * * * * * * * *
oqowxx...3xxwoqo... .........&#xt ♦ 3 6 3 3 6 3 0 0 0 | 3 6 3 6 6 6 0 6 3 0 6 0 3 0 0 0 0 0 | 1 0 3 3 0 3 0 6 3 0 0 0 3 3 0 0 0 1 0 0 0 0 0 0 0 | * * 4 * * * * * * * *
......... .x.o.....3.o.x.....&#x ♦ 0 3 0 3 0 0 0 0 0 | 0 0 3 0 6 0 3 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 1 3 3 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * 4 * * * * * * *
......... ......... .ooxx....&#xr ♦ 0 1 1 2 2 0 0 0 0 | 0 0 0 1 2 2 1 2 0 1 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 1 2 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * 12 * * * * * *
..o.x.o.. ......... ..o.x.o..&#xt ♦ 0 0 1 0 4 0 1 0 0 | 0 0 0 0 0 4 0 0 2 2 0 4 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 2 2 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 | * * * * * 6 * * * * *
......... ...oqowxx3...xxwoqo&#xt ♦ 0 0 0 3 6 3 3 6 3 | 0 0 0 0 0 0 3 6 0 3 6 6 0 6 6 3 6 3 | 0 0 0 0 0 0 0 0 0 0 1 3 3 0 0 3 6 0 0 3 3 0 3 0 1 | * * * * * * 4 * * * *
....xxoo. ......... .........&#xr ♦ 0 0 0 0 2 2 1 1 0 | 0 0 0 0 0 0 0 0 1 0 2 2 1 2 1 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 0 1 0 0 0 0 0 0 | * * * * * * * 12 * * *
.....x.o.3.....o.x. .........&#x ♦ 0 0 0 0 0 3 0 3 0 | 0 0 0 0 0 0 0 0 0 0 0 0 3 6 0 3 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 0 1 0 0 0 | * * * * * * * * 4 * *
.......oo3.......xx .........&#x ♦ 0 0 0 0 0 0 0 3 3 | 0 0 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 0 0 0 0 0 0 0 0 0 0 1 3 1 0 | * * * * * * * * * 4 *
........o3........x3........o ♦ 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 12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 | * * * * * * * * * * 1
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