Acronym | lin | ||
Name |
pentacontihexahecatonicosihexaexon, chrysoexon, Gosset polyexon 12,3, Voronoi cell of lattice E7* | ||
Circumradius | sqrt(7)/2 = 1.322876 | ||
Inradius wrt. hax | 1 | ||
Inradius wrt. mo | sqrt(3)/2 = 0.866025 | ||
Lace city in approx. ASCII-art |
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h r H -- o3o3o3o3o *c3x (mo) r s n h -- o3x3o3o3o *c3o (rojak) H n S r -- o3o3o3x3o *c3o (alt. rojak) h r H -- o3o3o3o3o *c3x (mo) \ \ \ \ \ \ \ \ \ + x3o3o *b3o3o3o (hax) \ \ \ +--- o3o3o *b3x3o3o (brag) \ \ +------ o3o3x *b3o3o3x (alt. sochax) \ +--------- o3o3o *b3x3o3o (brag) +------------ x3o3o *b3o3o3o (hax) where: h = x3o3o *b3o3o (hin) H = o3o3x *b3o3o (alt. hin) n = o3x3o *b3o3o (nit) r = o3o3o *b3x3o (rat) s = x3o3o *b3o3x (siphin) S = o3o3x *b3o3x (alt. siphin) | |||
_+--------- o3o3o3o3o3o (pt) _/ _+-------- o3o3o3x3o3o (inv. bril) _/ _/ _+------- o3x3o3o3o3x (inv. scal) _/ _/ _/ _+------ xo3oo3oo3xo3oo3ou (comp. of spil + dual u-hop) _/ _/ _/ _/ _+----- uo3oo3ox3oo3oo3ox (comp. of u-hop + inv. spil) _/ _/ _/ _/ _/ _+---- x3o3o3o3x3o (scal) _/ _/ _/ _/ _/ _/ _+--- o3o3x3o3o3o (bril) / / / / / / / +-- o3o3o3o3o3o (pt) o d c d o -- o3o3o3o3o *c3x (mo) R q xU q R -- o3o3o3x3o *c3o (alt. rojak) r p Xu p r -- o3x3o3o3o *c3o (rojak) o d c d o -- o3o3o3o3o *c3x (mo) | | | | +-- x3o3o *b3o3o3o (hax) | | | +----- o3o3o *b3x3o3o (brag) | | +-------- o3o3x *b3o3o3x (alt. sochax) | +----------- o3o3o *b3x3o3o (brag) +-------------- x3o3o *b3o3o3o (hax) where: o = o3o3o3o3o (pt) d = o3o3x3o3o (dot) r = o3x3o3o3o (rix) R = o3o3o3x3o (inv rix) x = x3o3x3o3o (sarx) X = o3o3x3o3x (inv sarx) p = x3o3o3x3o (spix) q = o3x3o3o3x (inv spix) c = x3o3o3o3x (scad) u = u3o3o3o3o (u-hix) U = o3o3o3o3u (dual u-hix) | |||
Lace hyper city in approx. ASCII-art |
O E N X N E O N X N O S T E X R X O E E O X R X E T S O N X N O E N X N E O i.e. (N,E,O)-toe with hexagons X-centered plus inscribed (R,S,T)-oct where: N = x3o3o *b3o (hex) E = o3o3x *b3o (gyro hex) O = o3o3o *b3x (alt. gyro hex) X = o3x3o *b3o (ico) R = o3o3x *b3x (rit) S = x3o3o *b3x (gyro rit) T = x3o3x *b3o (alt. gyro rit) thus vertically: o3o3o3o3o *c3x (mo) || o3x3o3o3o *c3o (rojak) || o3o3o3x3o *c3o (alt. rojak) || o3o3o3o3o *c3x (mo) or {4}-2-{4} diagonally: x3o3o *b3o3o3o (hax) || o3o3o *b3x3o3o (brag) || o3o3x *b3o3o3x (alt. sochax) || o3o3o *b3x3o3o (brag) || x3o3o *b3o3o3o (hax) | ||
Volume | 8 | ||
Surface | [301+546 sqrt(3)]/20 = 62.334987 | ||
Dihedral angles | |||
Face vector | 576, 10080, 40320, 50400, 23688, 4284, 182 | ||
Confer |
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External links |
The central R,S,T,-octahedron of the lace hyper city taken alone would be just ritgyo.
Incidence matrix according to Dynkin symbol
o3o3o3x *c3o3o3o . . . . . . . | 576 ♦ 35 | 210 | 140 210 | 35 105 105 | 21 42 21 | 7 7 -----------------+-----+-------+-------+-------------+-----------------+---------------+------- . . . x . . . | 2 | 10080 ♦ 12 | 12 18 | 4 12 12 | 6 12 3 | 4 3 -----------------+-----+-------+-------+-------------+-----------------+---------------+------- . . o3x . . . | 3 | 3 | 40320 | 2 3 | 1 6 3 | 3 6 1 | 3 2 -----------------+-----+-------+-------+-------------+-----------------+---------------+------- . o3o3x . . . ♦ 4 | 6 | 4 | 20160 * | 1 3 0 | 3 3 0 | 3 1 . . o3x *c3o . . ♦ 4 | 6 | 4 | * 30240 | 0 2 2 | 1 4 1 | 2 2 -----------------+-----+-------+-------+-------------+-----------------+---------------+------- o3o3o3x . . . ♦ 5 | 10 | 10 | 5 0 | 4032 * * | 3 0 0 | 3 0 . o3o3x *c3o . . ♦ 8 | 24 | 32 | 8 8 | * 7560 * | 1 2 0 | 2 1 . . o3x *c3o3o . ♦ 5 | 10 | 10 | 0 5 | * * 12096 | 0 2 1 | 1 2 -----------------+-----+-------+-------+-------------+-----------------+---------------+------- o3o3o3x *c3o . . ♦ 16 | 80 | 160 | 80 40 | 16 10 0 | 756 * * | 2 0 . o3o3x *c3o3o . ♦ 16 | 80 | 160 | 40 80 | 0 10 16 | * 1512 * | 1 1 . . o3x *c3o3o3o ♦ 6 | 15 | 20 | 0 15 | 0 0 6 | * * 2016 | 0 2 -----------------+-----+-------+-------+-------------+-----------------+---------------+------- o3o3o3x *c3o3o . ♦ 72 | 720 | 2160 | 1080 1080 | 216 270 216 | 27 27 0 | 56 * . o3o3x *c3o3o3o ♦ 32 | 240 | 640 | 160 480 | 0 60 192 | 0 12 32 | * 126
oooo3oxoo3oooo3ooxo3oooo *c3xoox&#xt → all heights = 1/sqrt(3) = 0.577350 (mo || pseudo rojak || pseudo alternate rojak || mo) o...3o...3o...3o...3o... *c3o... & | 144 * ♦ 20 15 0 0 | 90 60 60 0 0 0 | 60 60 20 60 60 90 0 0 0 0 0 | 15 30 15 15 20 30 60 60 0 0 0 0 0 | 6 6 6 15 6 30 15 0 0 0 | 1 1 6 6 .o..3.o..3.o..3.o..3.o.. *c3.o.. & | * 432 ♦ 0 5 20 10 | 0 40 10 10 60 90 | 0 0 20 60 20 10 40 20 40 80 60 | 0 0 0 35 10 40 20 5 10 10 50 40 25 | 0 0 30 11 10 10 1 2 10 10 | 0 5 7 2 ---------------------------------------+---------+---------------------+--------------------------------+--------------------------------------------------------+-------------------------------------------------------------+--------------------------------------+----------- .... .... .... .... .... x... & | 2 0 | 1440 * * * ♦ 9 0 3 0 0 0 | 9 9 0 0 3 9 0 0 0 0 0 | 3 9 3 0 1 0 9 9 0 0 0 0 0 | 3 3 0 3 0 3 3 0 0 0 | 1 0 3 3 oo..3oo..3oo..3oo..3oo.. *c3oo..&#x & | 1 1 | * 2160 * * ♦ 0 8 4 0 0 0 | 0 0 4 12 8 6 0 0 0 0 0 | 0 0 0 6 4 8 12 4 0 0 0 0 0 | 0 0 4 6 2 8 1 0 0 0 | 0 1 4 2 .... .x.. .... .... .... .... & | 0 2 | * * 4320 * ♦ 0 2 0 1 6 3 | 0 0 2 6 1 0 6 3 3 6 3 | 0 0 0 6 1 6 3 0 2 3 4 6 3 | 0 0 8 3 2 3 0 1 1 3 | 0 2 4 1 .oo.3.oo.3.oo.3.oo.3.oo. *c3.oo.&#x | 0 2 | * * * 2160 ♦ 0 0 0 0 0 12 | 0 0 0 0 0 0 0 0 6 12 12 | 0 0 0 6 0 0 0 0 0 0 12 12 4 | 0 0 12 2 0 0 0 0 3 4 | 0 3 4 0 ---------------------------------------+---------+---------------------+--------------------------------+--------------------------------------------------------+-------------------------------------------------------------+--------------------------------------+----------- .... .... o... .... .... *c3x... & | 3 0 | 3 0 0 0 | 4320 * * * * * | 2 2 0 0 0 1 0 0 0 0 0 | 1 4 1 0 0 0 2 2 0 0 0 0 0 | 2 2 0 1 0 4 1 0 0 0 | 1 0 2 2 .... ox.. .... .... .... ....&#x & | 1 2 | 0 2 1 0 | * 8640 * * * * | 0 0 1 3 1 0 0 0 0 0 0 | 0 0 0 3 1 3 3 0 0 0 0 0 0 | 0 0 3 3 1 3 0 0 0 0 | 0 1 3 1 .... .... .... .... .... xo..&#x & | 2 1 | 1 2 0 0 | * * 4320 * * * | 0 0 0 0 2 3 0 0 0 0 0 | 0 0 0 0 1 0 6 3 0 0 0 0 0 | 0 0 0 3 0 6 1 0 0 0 | 0 0 3 2 .o..3.x.. .... .... .... .... & | 0 3 | 0 0 3 0 | * * * 1440 * * | 0 0 2 0 0 0 0 0 3 0 0 | 0 0 0 6 1 0 0 0 0 0 3 0 0 | 0 0 6 3 0 0 0 0 1 0 | 0 2 3 0 .... .x..3.o.. .... .... .... & | 0 3 | 0 0 3 0 | * * * * 8640 * | 0 0 0 1 0 0 2 1 0 1 0 | 0 0 0 1 0 2 1 0 1 2 0 2 1 | 0 0 3 1 1 2 0 1 0 2 | 0 1 3 1 .... .xo. .... .... .... ....&#x & | 0 3 | 0 0 1 2 | * * * * * 12960 | 0 0 0 0 0 0 0 0 1 2 2 | 0 0 0 2 0 0 0 0 0 0 3 4 1 | 0 0 6 1 0 0 0 0 1 2 | 0 2 3 0 ---------------------------------------+---------+---------------------+--------------------------------+--------------------------------------------------------+-------------------------------------------------------------+--------------------------------------+----------- .... o...3o... .... .... *c3x... & ♦ 4 0 | 6 0 0 0 | 4 0 0 0 0 0 | 2160 * * * * * * * * * * | 1 2 0 0 0 0 1 0 0 0 0 0 0 | 2 1 0 1 0 2 0 0 0 0 | 1 0 2 1 .... .... o...3o... .... *c3x... & ♦ 4 0 | 6 0 0 0 | 4 0 0 0 0 0 | * 2160 * * * * * * * * * | 0 2 1 0 0 0 0 1 0 0 0 0 0 | 1 2 0 0 0 2 1 0 0 0 | 1 0 1 2 oo..3ox.. .... .... .... ....&#x & ♦ 1 3 | 0 3 3 0 | 0 3 0 1 0 0 | * * 2880 * * * * * * * * | 0 0 0 3 1 0 0 0 0 0 0 0 0 | 0 0 3 3 0 0 0 0 0 0 | 0 1 3 0 .... ox..3oo.. .... .... ....&#x & ♦ 1 3 | 0 3 3 0 | 0 3 0 0 1 0 | * * * 8640 * * * * * * * | 0 0 0 1 0 2 1 0 0 0 0 0 0 | 0 0 2 1 1 2 0 0 0 0 | 0 1 2 1 .... ox.. .... .... .... xo..&#x & ♦ 2 2 | 1 4 1 0 | 0 2 2 0 0 0 | * * * * 4320 * * * * * * | 0 0 0 0 1 0 3 0 0 0 0 0 0 | 0 0 0 3 0 3 0 0 0 0 | 0 0 3 1 .... .... oo.. .... .... *c3xo..&#x & ♦ 3 1 | 3 3 0 0 | 1 0 3 0 0 0 | * * * * * 4320 * * * * * | 0 0 0 0 0 0 2 2 0 0 0 0 0 | 0 0 0 1 0 4 1 0 0 0 | 0 0 2 2 .... .x..3.o..3.o.. .... .... & ♦ 0 4 | 0 0 6 0 | 0 0 0 0 4 0 | * * * * * * 4320 * * * * | 0 0 0 0 0 1 0 0 1 1 0 1 0 | 0 0 2 0 1 1 0 1 0 1 | 0 1 2 1 .... .x..3.o.. .... .... *c3.o.. & ♦ 0 4 | 0 0 6 0 | 0 0 0 0 4 0 | * * * * * * * 2160 * * * | 0 0 0 0 0 0 1 0 0 2 0 0 1 | 0 0 0 1 0 2 0 1 0 2 | 0 0 3 1 .oo.3.xo. .... .... .... ....&#x & ♦ 0 4 | 0 0 3 3 | 0 0 0 1 0 3 | * * * * * * * * 4320 * * | 0 0 0 2 0 0 0 0 0 0 2 0 0 | 0 0 4 1 0 0 0 0 1 0 | 0 2 2 0 .... .xo.3.oo. .... .... ....&#x & ♦ 0 4 | 0 0 3 3 | 0 0 0 0 1 3 | * * * * * * * * * 8640 * | 0 0 0 1 0 0 0 0 0 0 0 2 1 | 0 0 3 1 0 0 0 0 0 2 | 0 1 3 0 .... .xo. .... .ox. .... ....&#x ♦ 0 4 | 0 0 2 4 | 0 0 0 0 0 4 | * * * * * * * * * * 6480 | 0 0 0 0 0 0 0 0 0 0 2 2 0 | 0 0 4 0 0 0 0 0 1 1 | 0 2 2 0 ---------------------------------------+---------+---------------------+--------------------------------+--------------------------------------------------------+-------------------------------------------------------------+--------------------------------------+----------- o...3o...3o... .... .... *c3x... & ♦ 5 0 | 10 0 0 0 | 10 0 0 0 0 0 | 5 0 0 0 0 0 0 0 0 0 0 | 432 * * * * * * * * * * * * | 2 0 0 1 0 0 0 0 0 0 | 1 0 2 0 .... o...3o...3o... .... *c3x... & ♦ 8 0 | 24 0 0 0 | 32 0 0 0 0 0 | 8 8 0 0 0 0 0 0 0 0 0 | * 540 * * * * * * * * * * * | 1 1 0 0 0 1 0 0 0 0 | 1 0 1 1 .... .... o...3o...3o... *c3x... & ♦ 5 0 | 10 0 0 0 | 10 0 0 0 0 0 | 0 5 0 0 0 0 0 0 0 0 0 | * * 432 * * * * * * * * * * | 0 2 0 0 0 0 1 0 0 0 | 1 0 0 2 ooo.3oxo.3ooo. .... .... ....&#xt & ♦ 1 7 | 0 6 12 6 | 0 12 0 4 4 12 | 0 0 4 4 0 0 0 0 4 4 0 | * * * 2160 * * * * * * * * * | 0 0 2 1 0 0 0 0 0 0 | 0 1 2 0 oo..3ox.. .... .... .... xo..&#x & ♦ 2 3 | 1 6 3 0 | 0 6 3 1 0 0 | 0 0 2 0 3 0 0 0 0 0 0 | * * * * 1440 * * * * * * * * | 0 0 0 3 0 0 0 0 0 0 | 0 0 3 0 .... ox..3oo..3oo.. .... ....&#x & ♦ 1 4 | 0 4 6 0 | 0 6 0 0 4 0 | 0 0 0 4 0 0 1 0 0 0 0 | * * * * * 4320 * * * * * * * | 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 .... ox..3oo.. .... .... *c3xo..&#x & ♦ 4 4 | 6 12 6 0 | 4 12 12 0 4 0 | 1 0 0 4 6 4 0 1 0 0 0 | * * * * * * 2160 * * * * * * | 0 0 0 1 0 2 0 0 0 0 | 0 0 2 1 .... .... oo..3oo.. .... *c3xo..&#x & ♦ 4 1 | 6 4 0 0 | 4 0 6 0 0 0 | 0 1 0 0 0 4 0 0 0 0 0 | * * * * * * * 2160 * * * * * | 0 0 0 0 0 2 1 0 0 0 | 0 0 1 2 .... .x..3.o..3.o..3.o.. .... & ♦ 0 5 | 0 0 10 0 | 0 0 0 0 10 0 | 0 0 0 0 0 0 5 0 0 0 0 | * * * * * * * * 864 * * * * | 0 0 1 0 1 0 0 1 0 0 | 0 1 1 1 .... .x..3.o..3.o.. .... *c3.o.. & ♦ 0 8 | 0 0 24 0 | 0 0 0 0 32 0 | 0 0 0 0 0 0 8 8 0 0 0 | * * * * * * * * * 540 * * * | 0 0 0 0 0 1 0 1 0 1 | 0 0 2 1 .oo.3.xo. .... .ox. .... ....&#x & ♦ 0 5 | 0 0 4 6 | 0 0 0 1 0 9 | 0 0 0 0 0 0 0 0 2 0 3 | * * * * * * * * * * 4320 * * | 0 0 2 0 0 0 0 0 1 0 | 0 2 1 0 .... .xo.3.oo.3.ox. .... ....&#x ♦ 0 8 | 0 0 12 12 | 0 0 0 0 8 24 | 0 0 0 0 0 0 2 0 0 8 6 | * * * * * * * * * * * 2160 * | 0 0 2 0 0 0 0 0 0 1 | 0 1 2 0 .... .xo.3.oo. .... .... *c3.oo.&#x & ♦ 0 5 | 0 0 6 4 | 0 0 0 0 4 6 | 0 0 0 0 0 0 0 1 0 4 0 | * * * * * * * * * * * * 2160 | 0 0 0 1 0 0 0 0 0 2 | 0 0 3 0 ---------------------------------------+---------+---------------------+--------------------------------+--------------------------------------------------------+-------------------------------------------------------------+--------------------------------------+----------- o...3o...3o...3o... .... *c3x... & ♦ 16 0 | 80 0 0 0 | 160 0 0 0 0 0 | 80 40 0 0 0 0 0 0 0 0 0 | 16 10 0 0 0 0 0 0 0 0 0 0 0 | 54 * * * * * * * * * | 1 0 1 0 .... o...3o...3o...3o... *c3x... & ♦ 16 0 | 80 0 0 0 | 160 0 0 0 0 0 | 40 80 0 0 0 0 0 0 0 0 0 | 0 10 16 0 0 0 0 0 0 0 0 0 0 | * 54 * * * * * * * * | 1 0 0 1 ooo.3oxo.3ooo.3oox. .... ....&#xt & ♦ 1 15 | 0 10 40 30 | 0 30 0 10 30 90 | 0 0 10 20 0 0 10 0 20 30 30 | 0 0 0 5 0 5 0 0 1 0 10 5 0 | * * 864 * * * * * * * | 0 1 1 0 ooo.3oxo.3ooo. .... .... *c3xoo.&#xt & ♦ 5 11 | 10 30 30 10 | 10 60 30 10 20 30 | 5 0 20 20 30 10 0 5 10 20 0 | 1 0 0 5 10 0 5 0 0 0 0 0 5 | * * * 432 * * * * * * | 0 0 2 0 .... ox..3oo..3oo..3oo.. ....&#x & ♦ 1 5 | 0 5 10 0 | 0 10 0 0 10 0 | 0 0 0 10 0 0 5 0 0 0 0 | 0 0 0 0 0 5 0 0 1 0 0 0 0 | * * * * 864 * * * * * | 0 1 0 1 .... ox..3oo..3oo.. .... *c3xo..&#x & ♦ 8 8 | 24 32 24 0 | 32 48 48 0 32 0 | 8 8 0 32 24 32 8 8 0 0 0 | 0 1 0 0 0 8 8 8 0 1 0 0 0 | * * * * * 540 * * * * | 0 0 1 1 .... .... oo..3oo..3oo.. *c3xo..&#x & ♦ 5 1 | 10 5 0 0 | 10 0 10 0 0 0 | 0 5 0 0 0 10 0 0 0 0 0 | 0 0 1 0 0 0 0 5 0 0 0 0 0 | * * * * * * 432 * * * | 0 0 0 2 .... .x..3.o..3.o..3.o.. *c3.o.. & ♦ 0 16 | 0 0 80 0 | 0 0 0 0 160 0 | 0 0 0 0 0 0 80 40 0 0 0 | 0 0 0 0 0 0 0 0 16 10 0 0 0 | * * * * * * * 54 * * | 0 0 1 1 .oo.3.xo. .... .ox.3.oo. ....&#x ♦ 0 6 | 0 0 6 9 | 0 0 0 2 0 18 | 0 0 0 0 0 0 0 0 6 0 9 | 0 0 0 0 0 0 0 0 0 0 6 0 0 | * * * * * * * * 720 * | 0 2 0 0 .... .xo.3.oo.3.ox. .... *c3.oo.&#x ♦ 0 16 | 0 0 48 32 | 0 0 0 0 64 96 | 0 0 0 0 0 0 16 16 0 64 24 | 0 0 0 0 0 0 0 0 0 2 0 8 16 | * * * * * * * * * 270 | 0 0 2 0 ---------------------------------------+---------+---------------------+--------------------------------+--------------------------------------------------------+-------------------------------------------------------------+--------------------------------------+----------- o...3o...3o...3o...3o... *c3x... & ♦ 72 0 | 720 0 0 0 | 2160 0 0 0 0 0 | 1080 1080 0 0 0 0 0 0 0 0 0 | 216 270 216 0 0 0 0 0 0 0 0 0 0 | 27 27 0 0 0 0 0 0 0 0 | 2 * * * oooo3oxoo3oooo3ooxo3oooo ....&#xt ♦ 2 30 | 0 30 120 90 | 0 120 0 40 120 360 | 0 0 40 120 0 0 60 0 120 120 180 | 0 0 0 30 0 60 0 0 12 0 120 30 0 | 0 0 12 0 12 0 0 0 20 0 | * 72 * * ooo.3oxo.3ooo.3oox. .... *c3xoo.&#xt & ♦ 16 56 | 80 160 320 160 | 160 480 240 80 480 720 | 80 40 160 320 240 160 160 120 160 480 240 | 16 10 0 80 80 80 80 40 16 20 80 80 120 | 1 0 16 16 0 10 0 1 0 10 | * * 54 * .... ox..3oo..3oo..3oo.. *c3xo..&#x & ♦ 16 16 | 80 80 80 0 | 160 160 160 0 160 0 | 40 80 0 160 80 160 80 40 0 0 0 | 0 10 16 0 0 80 40 80 16 10 0 0 0 | 0 1 0 0 16 10 16 1 0 0 | * * * 54
xooox3ooooo3ooxoo *b3oxoxo3ooooo3ooxoo&#xt → all heights = 1/2 (hax || pseudo brag || pseudo alt. sochax || pseudo brag || para hax) o....3o....3o.... *b3o....3o....3o.... & | 64 * * ♦ 15 20 0 0 0 0 0 | 60 60 90 0 0 0 0 0 0 0 0 | 20 60 60 90 60 60 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15 30 20 60 60 15 15 30 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6 6 15 15 30 6 6 0 0 0 0 0 0 0 | 1 6 6 1 0 .o...3.o...3.o... *b3.o...3.o...3.o... & | * 320 * ♦ 0 4 18 12 1 0 0 | 0 6 36 36 18 18 72 12 12 0 0 | 0 0 4 18 36 36 12 12 6 12 36 72 36 36 4 18 12 0 0 0 | 0 0 1 12 18 12 12 36 3 3 24 24 18 36 12 12 18 4 0 0 0 | 0 0 3 6 12 12 12 6 12 3 12 6 0 0 | 0 3 4 4 3 ..o..3..o..3..o.. *b3..o..3..o..3..o.. | * * 192 ♦ 0 0 0 20 0 10 5 | 0 0 0 0 0 60 60 40 10 30 10 | 0 0 0 0 0 0 0 0 0 60 60 40 20 60 20 30 20 10 20 10 | 0 0 0 0 0 0 0 10 0 20 10 40 20 40 20 30 30 10 5 5 5 | 0 0 0 0 2 10 10 10 10 10 20 10 1 1 | 0 2 2 5 5 ---------------------------------------------+------------+--------------------------------+--------------------------------------------------------+---------------------------------------------------------------------------------------------+---------------------------------------------------------------------------------------------+-----------------------------------------------------+-------------- x.... ..... ..... ..... ..... ..... & | 2 0 0 | 480 * * * * * * ♦ 8 4 0 0 0 0 0 0 0 0 0 | 4 12 8 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6 8 4 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 4 2 6 1 8 0 0 0 0 0 0 0 0 0 | 1 4 2 0 0 oo...3oo...3oo... *b3oo...3oo...3oo...&#x & | 1 1 0 | * 1280 * * * * * ♦ 0 3 9 0 0 0 0 0 0 0 0 | 0 0 3 9 9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 1 9 9 3 3 9 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 3 3 9 3 3 0 0 0 0 0 0 0 | 0 3 3 1 0 ..... ..... ..... .x... ..... ..... & | 0 2 0 | * * 2880 * * * * ♦ 0 0 2 4 2 0 4 0 0 0 0 | 0 0 0 1 4 4 2 2 1 0 2 8 4 2 0 0 0 0 0 0 | 0 0 0 2 2 2 2 8 1 0 4 4 2 4 2 0 1 0 0 0 0 | 0 0 1 1 4 4 4 2 2 0 2 1 0 0 | 0 2 2 2 1 .oo..3.oo..3.oo.. *b3.oo..3.oo..3.oo..&#x & | 0 1 1 | * * * 3840 * * * ♦ 0 0 0 0 0 3 6 2 1 0 0 | 0 0 0 0 0 0 0 0 0 3 6 6 3 6 1 3 2 0 0 0 | 0 0 0 0 0 0 0 3 0 1 2 6 3 6 3 3 6 1 0 0 0 | 0 0 0 0 1 3 3 2 2 1 6 3 0 0 | 0 1 1 3 2 .o.o.3.o.o.3.o.o. *b3.o.o.3.o.o.3.o.o.&#x | 0 2 0 | * * * * 160 * * ♦ 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 18 12 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 18 4 0 0 0 | 0 0 0 0 0 0 0 0 0 3 12 6 0 0 | 0 0 0 4 3 ..... ..... ..x.. ..... ..... ..... | 0 0 2 | * * * * * 960 * ♦ 0 0 0 0 0 6 0 0 0 6 0 | 0 0 0 0 0 0 0 0 0 12 6 0 0 0 0 3 0 3 6 0 | 0 0 0 0 0 0 0 0 0 6 0 12 2 0 0 6 3 0 3 2 0 | 0 0 0 0 0 4 0 6 0 3 6 1 1 0 | 0 2 0 2 3 ..... ..... ..... ..... ..... ..x.. | 0 0 2 | * * * * * * 480 ♦ 0 0 0 0 0 0 0 8 0 0 4 | 0 0 0 0 0 0 0 0 0 0 0 0 0 12 8 0 4 0 0 6 | 0 0 0 0 0 0 0 0 0 0 0 0 0 8 12 0 6 4 0 0 4 | 0 0 0 0 0 0 8 0 2 0 4 6 0 1 | 0 0 2 4 1 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0 0 0 0 0 0 0 0 0 0 | 0 0 1 1 4 2 2 0 0 0 0 0 0 0 | 0 2 2 1 0 ..... .o... ..... *b3.x... ..... ..... & | 0 3 0 | 0 0 3 0 0 0 0 | * * * 3840 * * * * * * * | 0 0 0 0 1 0 1 1 0 0 0 2 0 0 0 0 0 0 0 0 | 0 0 0 1 0 1 0 2 1 0 2 2 0 1 0 0 0 0 0 0 0 | 0 0 1 0 2 2 1 2 1 0 1 0 0 0 | 0 2 1 1 1 ..... ..... ..... .x...3.o... ..... & | 0 3 0 | 0 0 3 0 0 0 0 | * * * * 1920 * * * * * * | 0 0 0 0 0 2 0 0 1 0 0 0 2 0 0 0 0 0 0 0 | 0 0 0 0 1 0 2 4 0 0 0 0 1 0 2 0 0 0 0 0 0 | 0 0 0 1 2 2 4 0 0 0 0 1 0 0 | 0 1 2 2 0 ..... ..... .ox.. ..... ..... .....&#x & | 0 1 2 | 0 0 0 2 0 1 0 | * * * * * 5760 * * * * * | 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 1 0 0 0 0 | 0 0 0 0 0 0 0 0 0 1 0 4 1 0 0 2 2 0 0 0 0 | 0 0 0 0 0 2 0 2 0 1 4 1 0 0 | 0 1 0 2 2 ..... ..... ..... .xo.. ..... .....&#x & | 0 2 1 | 0 0 1 2 0 0 0 | * * * * * * 11520 * * * * | 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 0 0 0 | 0 0 0 0 0 0 0 2 0 0 1 2 1 2 1 0 1 0 0 0 0 | 0 0 0 0 1 2 2 1 1 0 2 1 0 0 | 0 1 1 2 1 ..... ..... ..... ..... ..... .ox..&#x & | 0 1 2 | 0 0 0 2 0 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24 | 0 0 0 2 0 0 0 0 0 8 6 | * * * * * * * * * * 1680 | 0 2 0 0 0 1 0 | 2 1 0 -----------------------------------------+--------+--------------------+---------------------------------+--------------------------------------------------------+-----------------------------------------------------+------------------------------+--------- .... oo..3oo..3oo..3ox.. .... ....&#x & ♦ 1 5 | 5 0 10 0 | 10 0 10 0 0 0 | 10 0 0 5 0 0 0 0 0 0 0 | 5 0 0 0 1 0 0 0 0 0 0 | 336 * * * * * * | 0 2 0 .... .... oox.3ooo.3oxo.3ooo. ....&#xt & ♦ 1 15 | 10 0 40 30 | 30 0 30 10 0 90 | 20 10 0 10 0 0 0 0 20 30 30 | 5 5 0 0 1 0 0 0 0 10 5 | * 672 * * * * * | 1 1 0 .... .... .... ooo.3oxo.3ooo.3oox.&#xt & ♦ 1 15 | 10 10 30 30 | 30 10 10 20 30 60 | 10 20 5 0 5 10 30 0 20 20 0 | 0 5 5 1 0 5 0 0 10 0 0 | * * 336 * * * * | 2 0 0 .xo.3.oo.3.ox. .... .xo. .... .ox.&#zx & ♦ 0 16 | 0 16 16 48 | 0 8 0 8 72 72 | 0 0 2 0 2 16 36 24 16 0 24 | 0 0 0 0 0 4 8 6 0 8 0 | * * * 840 * * * | 1 0 1 .xo.3.oo. .... .... .... .oo.3.ox.&#x ♦ 0 6 | 0 6 0 9 | 0 2 0 0 18 0 | 0 0 0 0 0 6 0 9 0 0 0 | 0 0 0 0 0 0 6 0 0 0 0 | * * * * 560 * * | 0 0 2 .xo. .... .ox.3.oo.3.xo. .... .ox.&#zx ♦ 0 16 | 0 8 24 48 | 0 0 16 0 48 96 | 0 0 0 4 0 0 48 12 0 32 24 | 0 0 0 0 0 0 0 6 16 0 4 | * * * * * 420 * | 2 0 0 .... .oo.3.ox. .... .xo.3.oo. ....&#x ♦ 0 6 | 0 0 6 9 | 0 0 0 2 0 18 | 0 0 0 0 0 0 0 0 6 0 9 | 0 0 0 0 0 0 0 0 0 6 0 | * * * * * * 1120 | 0 1 1 -----------------------------------------+--------+--------------------+---------------------------------+--------------------------------------------------------+-----------------------------------------------------+------------------------------+--------- uxo. .... oox.3ooo.3oxo.3ooo.3oox.&#zx & ♦ 2 70 | 40 80 240 360 | 180 60 180 120 540 1080 | 120 120 30 60 30 120 540 180 240 360 360 | 30 60 30 6 6 60 60 90 180 120 60 | 0 12 12 15 0 15 0 | 56 * * .... oooo3ooxo3oooo3oxoo3oooo ....&#xt ♦ 2 30 | 30 0 120 90 | 120 0 120 40 0 360 | 120 40 0 60 0 0 0 0 120 120 180 | 60 30 0 0 12 0 0 0 0 120 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