Acronym | idirek | |||
Name | icositetra-diminished rectified diacosipentacontahexazetton | |||
Circumradius | 1 | |||
Lace hyper city in approx. ASCII-art |
i.e. the vertex positions of a hex plus its midpoint where: H = x3o3o4o (hex) I = o3x3o4o (ico) | |||
Face vector | 88, 864, 3296, 6992, 8840, 6424, 2336, 280 | |||
Confer |
This polyzetton occurs when considering the Gosset polytope 421 (i.e. fy) as the tegum sum of 2 perpendicular icoes and 3 pairwise bigyrated hexdips. In fact, the mere tegum sum of 2 bigyrated hexdips happens to be a vertex inscribed hocto, and the tegum sum of the remainder happens to be a vertex inscribed rek. Now, when rek in turn is being reduced by one of these 2 ico components, then this polyzetton would remain.
Incidence matrix according to Dynkin symbol
xoo3ooo3oox xox3oxo3ooo4ooo&#xt → both heights = 1/sqrt(8) = 0.353553 (tethex || pseudo ico || dual-para tethex) o..3o..3o.. o..3o..3o..4o.. & | 64 * | 3 6 6 3 0 | 3 18 12 18 6 12 9 18 18 0 0 | 1 18 36 8 18 18 36 12 8 4 3 54 36 54 18 36 0 | 6 36 24 1 6 18 36 36 24 8 24 18 108 24 24 18 54 108 36 24 | 12 24 3 6 12 36 24 24 48 36 72 3 24 48 18 36 108 72 24 | 8 3 12 8 24 32 24 9 48 32 36 24 72 | 1 8 4 3 1 32 24 .o.3.o.3.o. .o.3.o.3.o.4.o. | * 24 | 0 0 16 0 8 | 0 0 0 24 8 64 0 0 24 4 8 | 0 0 0 0 16 12 96 32 64 0 0 0 0 48 12 96 4 | 0 0 0 0 4 8 64 48 96 32 0 0 0 0 16 12 24 192 48 96 | 0 0 0 2 16 32 64 48 0 0 0 0 8 64 6 48 96 192 48 | 0 0 8 16 32 0 0 0 32 64 24 48 96 | 0 8 0 0 2 32 24 ----------------------------------+-------+------------------+------------------------------------------+--------------------------------------------------------------------+------------------------------------------------------------------------------+--------------------------------------------------------------------------+-----------------------------------------------+------------------ x.. ... ... ... ... ... ... & | 2 0 | 96 * * * * | 2 6 0 6 0 0 2 0 0 0 0 | 1 12 12 0 12 6 12 0 0 2 1 12 0 12 0 0 0 | 6 24 8 0 6 12 24 12 8 0 12 6 24 0 12 6 12 24 0 0 | 12 16 1 6 12 24 16 8 24 12 16 0 12 24 6 12 24 16 0 | 8 2 12 8 16 16 8 2 24 16 12 8 16 | 1 8 2 1 1 16 8 ... ... ... x.. ... ... ... & | 2 0 | * 192 * * * | 0 3 4 0 1 0 0 3 0 0 0 | 0 3 12 4 0 3 0 4 0 0 0 9 12 0 3 0 0 | 1 12 12 1 0 3 0 12 0 4 4 3 36 12 0 0 9 0 12 0 | 4 12 3 1 0 12 0 12 16 12 36 3 4 0 3 0 36 0 12 | 4 3 4 0 12 16 12 9 16 0 12 0 36 | 1 4 4 3 0 16 12 oo.3oo.3oo. oo.3oo.3oo.4oo.&#x & | 1 1 | * * 384 * * | 0 0 0 3 1 4 0 0 3 0 0 | 0 0 0 0 3 3 12 4 4 0 0 0 0 9 3 12 0 | 0 0 0 0 1 3 12 12 12 4 0 0 0 0 4 3 9 36 12 12 | 0 0 0 1 4 12 12 12 0 0 0 0 4 16 3 12 36 36 12 | 0 0 4 4 12 0 0 0 16 16 12 12 36 | 0 4 0 0 1 16 12 o.o3o.o3o.o o.o3o.o3o.o4o.o&#x | 2 0 | * * * 96 * | 0 0 0 0 0 0 4 6 6 0 0 | 0 0 0 0 0 0 0 0 0 2 2 24 12 24 6 12 0 | 0 0 0 0 0 0 0 0 0 0 12 12 48 8 12 12 24 48 12 8 | 0 0 0 0 0 0 0 0 24 24 32 1 12 24 12 24 48 32 8 | 0 0 0 0 0 16 16 4 24 16 24 16 32 | 0 0 2 2 1 16 16 ... ... ... ... .x. ... ... | 0 2 | * * * * 96 | 0 0 0 0 0 8 0 0 0 1 2 | 0 0 0 0 0 0 12 8 16 0 0 0 0 0 0 12 2 | 0 0 0 0 0 0 8 12 24 16 0 0 0 0 0 0 0 24 12 24 | 0 0 0 0 2 8 16 24 0 0 0 0 0 8 0 6 24 48 24 | 0 0 2 4 16 0 0 0 8 16 6 12 48 | 0 4 0 0 1 16 12 ----------------------------------+-------+------------------+------------------------------------------+--------------------------------------------------------------------+------------------------------------------------------------------------------+--------------------------------------------------------------------------+-----------------------------------------------+------------------ x..3o.. ... ... ... ... ... & | 3 0 | 3 0 0 0 0 | 64 * * * * * * * * * * | 1 6 0 0 6 0 0 0 0 1 0 0 0 0 0 0 0 | 6 12 0 0 6 6 12 0 0 0 6 0 0 0 6 0 0 0 0 0 | 12 8 0 6 12 12 8 0 12 0 0 0 6 12 0 0 0 0 0 | 8 1 12 8 8 8 0 0 12 8 0 0 0 | 1 8 1 0 1 8 0 x.. ... ... x.. ... ... ... & | 4 0 | 2 2 0 0 0 | * 288 * * * * * * * * * | 0 2 4 0 0 1 0 0 0 0 0 2 0 0 0 0 0 | 1 8 4 0 0 2 0 4 0 0 2 1 8 0 0 0 2 0 0 0 | 4 8 1 1 0 8 0 4 8 4 8 0 2 0 1 0 8 0 0 | 4 2 4 0 8 8 4 2 8 0 4 0 8 | 1 4 2 1 0 8 4 ... ... ... x..3o.. ... ... & | 3 0 | 0 3 0 0 0 | * * 256 * * * * * * * * | 0 0 3 2 0 0 0 1 0 0 0 0 3 0 0 0 0 | 0 3 6 1 0 0 0 3 0 2 0 0 9 6 0 0 0 0 3 0 | 1 6 3 0 0 3 0 6 4 3 18 3 0 0 0 0 9 0 6 | 2 3 1 0 6 8 6 9 4 0 3 0 18 | 1 2 4 3 0 8 6 xo. ... ... ... ... ... ...&#x & | 2 1 | 1 0 2 0 0 | * * * 576 * * * * * * * | 0 0 0 0 2 1 4 0 0 0 0 0 0 2 0 0 0 | 0 0 0 0 1 2 8 4 4 0 0 0 0 0 2 1 2 8 0 0 | 0 0 0 1 4 8 8 4 0 0 0 0 2 8 1 4 8 8 0 | 0 0 4 4 8 0 0 0 8 8 4 4 8 | 0 4 0 0 1 8 4 ... ... ... xo. ... ... ...&#x & | 2 1 | 0 1 2 0 0 | * * * * 192 * * * * * * | 0 0 0 0 0 3 0 4 0 0 0 0 0 0 3 0 0 | 0 0 0 0 0 3 0 12 0 4 0 0 0 0 0 0 9 0 12 0 | 0 0 0 1 0 12 0 12 0 0 0 0 4 0 3 0 36 0 12 | 0 0 4 0 12 0 0 0 16 0 12 0 36 | 0 4 0 0 0 16 12 ... ... ... ... ox. ... ...&#x & | 1 2 | 0 0 2 0 1 | * * * * * 768 * * * * * | 0 0 0 0 0 0 3 1 2 0 0 0 0 0 0 3 0 | 0 0 0 0 0 0 3 3 6 2 0 0 0 0 0 0 0 9 3 6 | 0 0 0 0 1 3 6 6 0 0 0 0 0 4 0 3 9 18 6 | 0 0 1 2 6 0 0 0 4 8 3 6 18 | 0 2 0 0 1 8 6 x.o ... ... ... ... ... ...&#x & | 3 0 | 1 0 0 2 0 | * * * * * * 192 * * * * | 0 0 0 0 0 0 0 0 0 1 1 6 0 6 0 0 0 | 0 0 0 0 0 0 0 0 0 0 6 6 12 0 6 6 6 12 0 0 | 0 0 0 0 0 0 0 0 12 12 8 0 6 12 6 12 12 8 0 | 0 0 0 0 0 8 8 1 12 8 12 8 8 | 0 0 1 1 1 8 8 ... ... ... x.x ... ... ...&#x | 4 0 | 0 2 0 2 0 | * * * * * * * 288 * * * | 0 0 0 0 0 0 0 0 0 0 0 4 4 0 1 0 0 | 0 0 0 0 0 0 0 0 0 0 2 2 16 4 0 0 4 0 4 0 | 0 0 0 0 0 0 0 0 8 8 16 1 2 0 2 0 16 0 4 | 0 0 0 0 0 8 8 4 8 0 8 0 16 | 0 0 2 2 0 8 8 ooo3ooo3ooo ooo3ooo3ooo4ooo&#x | 2 1 | 0 0 2 1 0 | * * * * * * * * 576 * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 4 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 4 16 4 4 | 0 0 0 0 0 0 0 0 0 0 0 0 2 8 2 8 16 16 4 | 0 0 0 0 0 0 0 0 8 8 8 8 16 | 0 0 0 0 1 8 8 ... ... ... .o.3.x. ... ... | 0 3 | 0 0 0 0 3 | * * * * * * * * * 32 * | 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 2 | 0 0 0 0 0 0 0 12 0 16 0 0 0 0 0 0 0 0 12 0 | 0 0 0 0 0 8 0 24 0 0 0 0 0 0 0 0 24 0 24 | 0 0 2 0 16 0 0 0 8 0 6 0 48 | 0 4 0 0 0 16 12 ... ... ... ... .x.3.o. ... | 0 3 | 0 0 0 0 3 | * * * * * * * * * * 64 | 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 1 | 0 0 0 0 0 0 0 0 12 8 0 0 0 0 0 0 0 0 0 12 | 0 0 0 0 0 0 8 12 0 0 0 0 0 0 0 0 0 24 12 | 0 0 0 2 8 0 0 0 0 8 0 6 24 | 0 2 0 0 1 8 6 ----------------------------------+-------+------------------+------------------------------------------+--------------------------------------------------------------------+------------------------------------------------------------------------------+--------------------------------------------------------------------------+-----------------------------------------------+------------------ x..3o..3o.. ... ... ... ... & ♦ 4 0 | 6 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 0 | 16 * * * * * * * * * * * * * * * * | 6 0 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 12 0 0 6 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8 0 12 8 0 0 0 0 0 0 0 0 0 | 1 8 0 0 1 0 0 x..3o.. ... x.. ... ... ... & ♦ 6 0 | 6 3 0 0 0 | 2 3 0 0 0 0 0 0 0 0 0 | * 192 * * * * * * * * * * * * * * * | 1 4 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | 4 4 0 1 0 4 0 0 4 0 0 0 1 0 0 0 0 0 0 | 4 1 4 0 4 4 0 0 4 0 0 0 0 | 1 4 1 0 0 4 0 x.. ... ... x..3o.. ... ... & ♦ 6 0 | 3 6 0 0 0 | 0 3 2 0 0 0 0 0 0 0 0 | * * 384 * * * * * * * * * * * * * * | 0 2 2 0 0 0 0 1 0 0 0 0 2 0 0 0 0 0 0 0 | 1 4 1 0 0 2 0 2 2 1 4 0 0 0 0 0 2 0 0 | 2 2 1 0 4 4 2 2 2 0 1 0 4 | 1 2 2 1 0 4 2 ... ... ... x..3o..3o.. ... & ♦ 4 0 | 0 6 0 0 0 | 0 0 4 0 0 0 0 0 0 0 0 | * * * 128 * * * * * * * * * * * * * | 0 0 3 1 0 0 0 0 0 1 0 0 0 3 0 0 0 0 0 0 | 0 3 3 0 0 0 0 3 0 0 9 3 0 0 0 0 0 0 3 | 1 3 0 0 3 4 3 9 0 0 0 0 9 | 1 1 4 3 0 4 3 xo.3oo. ... ... ... ... ...&#x & ♦ 3 1 | 3 0 3 0 0 | 1 0 0 3 0 0 0 0 0 0 0 | * * * * 384 * * * * * * * * * * * * | 0 0 0 0 1 1 4 0 0 0 0 0 0 0 1 0 0 0 0 0 | 0 0 0 1 4 4 4 0 0 0 0 0 1 4 0 0 0 0 0 | 0 0 4 4 4 0 0 0 4 4 0 0 0 | 0 4 0 0 1 4 0 xo. ... ... xo. ... ... ...&#x & ♦ 4 1 | 2 2 4 0 0 | 0 1 0 2 2 0 0 0 0 0 0 | * * * * * 288 * * * * * * * * * * * | 0 0 0 0 0 2 0 4 0 0 0 0 0 0 0 0 2 0 0 0 | 0 0 0 1 0 8 0 4 0 0 0 0 2 0 1 0 8 0 0 | 0 0 4 0 8 0 0 0 8 0 4 0 8 | 0 4 0 0 0 8 4 xo. ... ... ... ox. ... ...&#x & ♦ 2 2 | 1 0 4 0 1 | 0 0 0 2 0 2 0 0 0 0 0 | * * * * * * 1152 * * * * * * * * * * | 0 0 0 0 0 0 2 1 2 0 0 0 0 0 0 0 0 2 0 0 | 0 0 0 0 1 2 4 2 0 0 0 0 0 2 0 1 2 4 0 | 0 0 1 2 4 0 0 0 2 4 1 2 4 | 0 2 0 0 1 4 2 ... ... ... xo.3ox. ... ...&#x & ♦ 3 3 | 0 3 6 0 3 | 0 0 1 0 3 3 0 0 0 1 0 | * * * * * * * 256 * * * * * * * * * | 0 0 0 0 0 0 0 3 0 2 0 0 0 0 0 0 0 0 3 0 | 0 0 0 0 0 3 0 6 0 0 0 0 0 0 0 0 9 0 6 | 0 0 1 0 6 0 0 0 4 0 3 0 18 | 0 2 0 0 0 8 6 ... ... ... ... ox.3oo. ...&#x & ♦ 1 3 | 0 0 3 0 3 | 0 0 0 0 0 3 0 0 0 0 1 | * * * * * * * * 512 * * * * * * * * | 0 0 0 0 0 0 0 0 3 1 0 0 0 0 0 0 0 0 0 3 | 0 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 9 3 | 0 0 0 1 3 0 0 0 0 4 0 3 9 | 0 1 0 0 1 4 3 x.o3o.o ... ... ... ... ...&#x & ♦ 4 0 | 3 0 0 3 0 | 1 0 0 0 0 0 3 0 0 0 0 | * * * * * * * * * 64 * * * * * * * | 0 0 0 0 0 0 0 0 0 0 6 0 0 0 6 0 0 0 0 0 | 0 0 0 0 0 0 0 0 12 0 0 0 6 12 0 0 0 0 0 | 0 0 0 0 0 8 0 0 12 8 0 0 0 | 0 0 1 0 1 8 0 x.o ... o.x ... ... ... ...&#x ♦ 4 0 | 2 0 0 4 0 | 0 0 0 0 0 0 4 0 0 0 0 | * * * * * * * * * * 48 * * * * * * | 0 0 0 0 0 0 0 0 0 0 0 6 0 0 0 6 0 0 0 0 | 0 0 0 0 0 0 0 0 0 12 0 0 0 0 6 12 0 0 0 | 0 0 0 0 0 0 8 0 0 0 12 8 0 | 0 0 0 1 1 0 8 x.o ... ... x.x ... ... ...&#x & ♦ 6 0 | 2 3 0 4 0 | 0 1 0 0 0 0 2 2 0 0 0 | * * * * * * * * * * * 576 * * * * * | 0 0 0 0 0 0 0 0 0 0 1 1 4 0 0 0 1 0 0 0 | 0 0 0 0 0 0 0 0 4 4 4 0 1 0 1 0 4 0 0 | 0 0 0 0 0 4 4 1 4 0 4 0 4 | 0 0 1 1 0 4 4 ... ... ... x.x3o.o ... ...&#x ♦ 6 0 | 0 6 0 3 0 | 0 0 2 0 0 0 0 3 0 0 0 | * * * * * * * * * * * * 384 * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 4 2 0 0 0 0 1 0 | 0 0 0 0 0 0 0 0 2 2 8 1 0 0 0 0 4 0 2 | 0 0 0 0 0 4 4 4 2 0 2 0 8 | 0 0 2 2 0 4 4 xoo ... ... ... ... ... ...&#x & ♦ 3 1 | 1 0 3 2 0 | 0 0 0 1 0 0 1 0 2 0 0 | * * * * * * * * * * * * * 1152 * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 4 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 1 4 1 4 4 4 0 | 0 0 0 0 0 0 0 0 4 4 4 4 4 | 0 0 0 0 1 4 4 ... ... ... xox ... ... ...&#x ♦ 4 1 | 0 2 4 2 0 | 0 0 0 0 2 0 0 1 2 0 0 | * * * * * * * * * * * * * * 288 * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 0 | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 16 0 4 | 0 0 0 0 0 0 0 0 8 0 8 0 16 | 0 0 0 0 0 8 8 ... ... ... ... oxo ... ...&#x ♦ 2 2 | 0 0 4 1 1 | 0 0 0 0 0 2 0 0 2 0 0 | * * * * * * * * * * * * * * * 1152 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 2 | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 4 8 2 | 0 0 0 0 0 0 0 0 2 4 2 4 8 | 0 0 0 0 1 4 4 ... ... ... .o.3.x.3.o. ... ♦ 0 6 | 0 0 0 0 12 | 0 0 0 0 0 0 0 0 0 4 4 | * * * * * * * * * * * * * * * * 16 ♦ 0 0 0 0 0 0 0 0 0 8 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 12 | 0 0 0 0 8 0 0 0 0 0 0 0 24 | 0 2 0 0 0 8 6 ----------------------------------+-------+------------------+------------------------------------------+--------------------------------------------------------------------+------------------------------------------------------------------------------+--------------------------------------------------------------------------+-----------------------------------------------+------------------ x..3o..3o.. x.. ... ... ... & ♦ 8 0 | 12 4 0 0 0 | 8 6 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 | 48 * * * * * * * * * * * * * * * * * * * | 4 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 4 0 4 0 0 0 0 0 0 0 0 0 0 | 1 4 0 0 0 0 0 x..3o.. ... x..3o.. ... ... & ♦ 9 0 | 9 9 0 0 0 | 3 9 3 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 | * 256 * * * * * * * * * * * * * * * * * * | 1 2 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 | 2 1 1 0 2 2 0 0 1 0 0 0 0 | 1 2 1 0 0 2 0 x.. ... ... x..3o..3o.. ... & ♦ 8 0 | 4 12 0 0 0 | 0 6 8 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 | * * 192 * * * * * * * * * * * * * * * * * | 0 2 1 0 0 0 0 1 0 0 2 0 0 0 0 0 0 0 0 | 1 2 0 0 2 2 1 2 0 0 0 0 2 | 1 1 2 1 0 2 1 ... ... ... x..3o..3o..4o.. & ♦ 8 0 | 0 24 0 0 0 | 0 0 32 0 0 0 0 0 0 0 0 | 0 0 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * 8 * * * * * * * * * * * * * * * * ♦ 0 0 3 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 | 0 3 0 0 0 0 0 9 0 0 0 0 0 | 1 0 4 3 0 0 0 xo.3oo.3oo. ... ... ... ...&#x & ♦ 4 1 | 6 0 4 0 0 | 4 0 0 6 0 0 0 0 0 0 0 | 1 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * 96 * * * * * * * * * * * * * * * | 0 0 0 1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 4 4 0 0 0 0 0 0 0 0 0 | 0 4 0 0 1 0 0 xo.3oo. ... xo. ... ... ...&#x & ♦ 6 1 | 6 3 6 0 0 | 2 3 0 6 3 0 0 0 0 0 0 | 0 1 0 0 2 3 0 0 0 0 0 0 0 0 0 0 0 | * * * * * 192 * * * * * * * * * * * * * * | 0 0 0 1 0 4 0 0 0 0 0 0 1 0 0 0 0 0 0 | 0 0 4 0 4 0 0 0 4 0 0 0 0 | 0 4 0 0 0 4 0 xo.3oo. ... ... ox. ... ...&#x & ♦ 3 2 | 3 0 6 0 1 | 1 0 0 6 0 3 0 0 0 0 0 | 0 0 0 0 2 0 3 0 0 0 0 0 0 0 0 0 0 | * * * * * * 768 * * * * * * * * * * * * * | 0 0 0 0 1 1 2 0 0 0 0 0 0 1 0 0 0 0 0 | 0 0 1 2 2 0 0 0 1 2 0 0 0 | 0 2 0 0 1 2 0 xo. ... ... xo.3ox. ... ...&#x & ♦ 6 3 | 3 6 12 0 3 | 0 3 2 6 6 6 0 0 0 1 0 | 0 0 1 0 0 3 3 2 0 0 0 0 0 0 0 0 0 | * * * * * * * 384 * * * * * * * * * * * * | 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 | 0 0 1 0 4 0 0 0 2 0 1 0 4 | 0 2 0 0 0 4 2 xo. ... ... ... ox.3oo. ...&#x & ♦ 2 3 | 1 0 6 0 3 | 0 0 0 3 0 6 0 0 0 0 1 | 0 0 0 0 0 0 3 0 2 0 0 0 0 0 0 0 0 | * * * * * * * * 768 * * * * * * * * * * * | 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 2 0 | 0 0 0 1 2 0 0 0 0 2 0 1 2 | 0 1 0 0 1 2 1 ... ... ... xo.3ox.3oo. ...&#x & ♦ 4 6 | 0 6 12 0 12 | 0 0 4 0 6 12 0 0 0 4 4 | 0 0 0 1 0 0 0 4 4 0 0 0 0 0 0 0 1 | * * * * * * * * * 128 * * * * * * * * * * ♦ 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 3 | 0 0 0 0 3 0 0 0 0 0 0 0 9 | 0 1 0 0 0 4 3 x.o3o.o ... x.x ... ... ...&#x & ♦ 8 0 | 6 4 0 6 0 | 2 3 0 0 0 0 6 3 0 0 0 | 0 1 0 0 0 0 0 0 0 2 0 3 0 0 0 0 0 | * * * * * * * * * * 192 * * * * * * * * * | 0 0 0 0 0 0 0 0 4 0 0 0 1 0 0 0 0 0 0 | 0 0 0 0 0 4 0 0 4 0 0 0 0 | 0 0 1 0 0 4 0 x.o ... o.x x.x ... ... ...&#x ♦ 8 0 | 4 4 0 8 0 | 0 2 0 0 0 0 8 4 0 0 0 | 0 0 0 0 0 0 0 0 0 0 2 4 0 0 0 0 0 | * * * * * * * * * * * 144 * * * * * * * * | 0 0 0 0 0 0 0 0 0 4 0 0 0 0 1 0 0 0 0 | 0 0 0 0 0 0 4 0 0 0 4 0 0 | 0 0 0 1 0 0 4 x.o ... ... x.x3o.o ... ...&#x & ♦ 9 0 | 3 9 0 6 0 | 0 3 3 0 0 0 3 6 0 0 0 | 0 0 1 0 0 0 0 0 0 0 0 3 2 0 0 0 0 | * * * * * * * * * * * * 768 * * * * * * * | 0 0 0 0 0 0 0 0 1 1 2 0 0 0 0 0 1 0 0 | 0 0 0 0 0 2 2 1 1 0 1 0 2 | 0 0 1 1 0 2 2 ... ... ... x.x3o.o3o.o ...&#x ♦ 8 0 | 0 12 0 4 0 | 0 0 8 0 0 0 0 6 0 0 0 | 0 0 0 2 0 0 0 0 0 0 0 0 4 0 0 0 0 | * * * * * * * * * * * * * 192 * * * * * * | 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 0 1 | 0 0 0 0 0 2 2 4 0 0 0 0 4 | 0 0 2 2 0 2 2 xoo3ooo ... ... ... ... ...&#x & ♦ 4 1 | 3 0 4 3 0 | 1 0 0 3 0 0 3 0 3 0 0 | 0 0 0 0 1 0 0 0 0 1 0 0 0 3 0 0 0 | * * * * * * * * * * * * * * 384 * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 1 4 0 0 0 0 0 | 0 0 0 0 0 0 0 0 4 4 0 0 0 | 0 0 0 0 1 4 0 xoo ... oox ... ... ... ...&#x ♦ 4 1 | 2 0 4 4 0 | 0 0 0 2 0 0 4 0 4 0 0 | 0 0 0 0 0 0 0 0 0 0 1 0 0 4 0 0 0 | * * * * * * * * * * * * * * * 288 * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 0 0 0 | 0 0 0 0 0 0 0 0 0 0 4 4 0 | 0 0 0 0 1 0 4 xoo ... ... xox ... ... ...&#x & ♦ 6 1 | 2 3 6 4 0 | 0 1 0 2 3 0 2 2 4 0 0 | 0 0 0 0 0 1 0 0 0 0 0 1 0 2 2 0 0 | * * * * * * * * * * * * * * * * 576 * * * | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 4 0 0 | 0 0 0 0 0 0 0 0 4 0 4 0 4 | 0 0 0 0 0 4 4 xoo ... ... ... oxo ... ...&#x & ♦ 3 2 | 1 0 6 2 1 | 0 0 0 2 0 3 1 0 4 0 0 | 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 2 0 | * * * * * * * * * * * * * * * * * 2304 * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 0 | 0 0 0 0 0 0 0 0 1 2 1 2 2 | 0 0 0 0 1 2 2 ... ... ... xox3oxo ... ...&#x ♦ 6 3 | 0 6 12 3 3 | 0 0 2 0 6 6 0 3 6 1 0 | 0 0 0 0 0 0 0 2 0 0 0 0 1 0 3 3 0 | * * * * * * * * * * * * * * * * * * 384 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 2 | 0 0 0 0 0 0 0 0 2 0 2 0 8 | 0 0 0 0 0 4 4 ... ... ... ... oxo3ooo ...&#x ♦ 2 3 | 0 0 6 1 3 | 0 0 0 0 0 6 0 0 3 0 1 | 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 3 0 | * * * * * * * * * * * * * * * * * * * 768 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 | 0 0 0 0 0 0 0 0 0 2 0 2 4 | 0 0 0 0 1 2 2 ----------------------------------+-------+------------------+------------------------------------------+--------------------------------------------------------------------+------------------------------------------------------------------------------+--------------------------------------------------------------------------+-----------------------------------------------+------------------ x..3o..3o.. x..3o.. ... ... & ♦ 12 0 | 18 12 0 0 0 | 12 18 4 0 0 0 0 0 0 0 0 | 3 12 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 64 * * * * * * * * * * * * * * * * * * | 2 0 1 0 0 0 0 0 0 0 0 0 0 | 1 2 0 0 0 0 0 x..3o.. ... x..3o..3o.. ... & ♦ 12 0 | 12 18 0 0 0 | 4 18 12 0 0 0 0 0 0 0 0 | 0 6 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 128 * * * * * * * * * * * * * * * * * | 1 1 0 0 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0 1 0 x.. ... ... x..3o..3o..4o.. & ♦ 16 0 | 8 48 0 0 0 | 0 24 64 0 0 0 0 0 0 0 0 | 0 0 32 32 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 16 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