Acronym | laq | ||
Name |
pentacontihexapentacosiheptacontihexaexon, argyroexon, Gosset polyexon 21,3, vertex figure of naquoh, lattice E7 contact polytope (span of its roots), equatorial cross-section of vertex-first fy | ||
Circumradius | 1 | ||
Inradius wrt. hop | 2/sqrt(7) = 0.755929 | ||
Inradius wrt. jak | 1/sqrt(3) = 0.577350 | ||
Lace city in approx. ASCII-art |
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_+-------------- x3o3o3o3o *c3o (jak) / _+-------- o3o3o3o3o *c3x (mo) _/ / _+-- o3o3o3o3x *c3o (alt. jak) / _/ / o --- o3o3o *b3o3o3o (pt) h H --- x3o3o *b3o3o3o (hax) t r t --- o3o3o *b3o3x3o (rag) h H --- x3o3o *b3o3o3o (hax) o --- o3o3o *b3o3o3o (pt) where: o = o3o3o *b3o3o (pt) h = x3o3o *b3o3o (hin) H = o3o3x *b3o3o (alt. hin) t = o3o3o *b3o3x (tac) r = o3o3o *b3x3o (rat) | |||
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Lace hyper city in approx. ASCII-art |
p /|\ \ / \ \ / E \ / | \ \ O \ O / _ p _ \ / _ E- | - _ \ / _ N N _ \ /_ - - \ p _ | X | _ p \ - _ _ - / \ N _ _ N / \ - _| _ -E / \ p / O \ O \ \ | / \ E / \ \ / \ \|/ p where: p = o3o3o *b3o (point) N = x3o3o *b3o (hex) E = o3o3x *b3o (gyro hex) O = o3o3o *b3x (alt. gyro hex) X = o3x3o *b3o (ico) thus vertically: o3o3o *b3o3o3o (point) || x3o3o *b3o3o3o (hax) || o3o3o *b3o3x3o (rag) || x3o3o *b3o3o3o (hax) || o3o3o *b3o3o3o (point) or face-2-face: x3o3o3o3o *c3o (jak) || o3o3o3o3o *c3x (mo) || o3o3o3o3x *c3o (alt. jak) or line-2-line: o o3o3o *c3o3x (tac) || x x3o3o *c3o3o (hinnip) || compound of u o3o3o *c3o3o (perp u-line) and o o3o3o *c3x3o (rat) || x o3o3x *c3o3o (alt. hinnip) || o o3o3o *c3o3x (tac) | ||
Coordinates |
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Volume | 37/70 = 0.528571 | ||
Surface | [35 sqrt(3)+sqrt(7)]/10 = 6.326753 | ||
Dihedral angles | |||
Face vector | 126, 2016, 10080, 20160, 16128, 4788, 632 | ||
Confer |
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External links |
Wrt. A7 subsymmetry laq can be thought of as a tegum sum of
suph and he.
Wrt. D6 × A1 subsymmetry laq can be thought of as a tegum sum of u-line,
haxip and rag.
Wrt. D4 × A1 × A1 × A1 subsymmetry (which is in turn a subsymmetry of D6 × A1 too)
laq can be thought of as a tegum sum of ico, 3 fully perp. u-lines, and 3 relatively gyro-orthogonal
squahexes.
The first of the above statements is notable because the vertex figure of he is tetdip. The alterprism of tetdip happens to be degenerate, in fact that according tegum sum of tetdip and its bi-dual tetdip happens to be nothing but hax, which in turn is again the vertex figure of laq.
Incidence matrix according to Dynkin symbol
x3o3o3o *c3o3o3o . . . . . . . | 126 ♦ 32 | 240 | 640 | 160 480 | 60 192 | 12 32 -----------------+-----+------+-------+-------+------------+----------+------- x . . . . . . | 2 | 2016 ♦ 15 | 60 | 20 60 | 15 30 | 6 6 -----------------+-----+------+-------+-------+------------+----------+------- x3o . . . . . | 3 | 3 | 10080 ♦ 8 | 4 12 | 6 8 | 4 2 -----------------+-----+------+-------+-------+------------+----------+------- x3o3o . . . . ♦ 4 | 6 | 4 | 20160 | 1 3 | 3 3 | 3 1 -----------------+-----+------+-------+-------+------------+----------+------- x3o3o3o . . . ♦ 5 | 10 | 10 | 5 | 4032 * | 3 0 | 3 0 x3o3o . *c3o . . ♦ 5 | 10 | 10 | 5 | * 12096 | 1 2 | 2 1 -----------------+-----+------+-------+-------+------------+----------+------- x3o3o3o *c3o . . ♦ 10 | 40 | 80 | 80 | 16 16 | 756 * | 2 0 x3o3o . *c3o3o . ♦ 6 | 15 | 20 | 15 | 0 6 | * 4032 | 1 1 -----------------+-----+------+-------+-------+------------+----------+------- x3o3o3o *c3o3o . ♦ 27 | 216 | 720 | 1080 | 216 432 | 27 72 | 56 * x3o3o . *c3o3o3o ♦ 7 | 21 | 35 | 35 | 0 21 | 0 7 | * 576
oxoxo3ooooo3ooooo *b3ooooo3ooxoo3ooooo&#xt → all heights = 1/2 = 0.5 (pt || pseudo hax || pseudo rag || pseudo hax || pt) o....3o....3o.... *b3o....3o....3o.... & | 2 * * ♦ 32 0 0 0 0 | 240 0 0 0 0 0 0 | 640 0 0 0 0 0 0 0 0 | 160 480 0 0 0 0 0 0 0 0 0 0 0 | 192 60 0 0 0 0 0 0 0 0 | 32 12 0 0 0 .o...3.o...3.o... *b3.o...3.o...3.o... & | * 64 * ♦ 1 15 15 1 0 | 15 60 90 60 15 0 0 | 60 20 60 180 180 60 20 60 0 | 20 60 30 60 60 180 60 60 30 60 20 0 0 | 30 15 6 60 30 60 6 15 30 0 | 6 6 20 6 6 ..o..3..o..3..o.. *b3..o..3..o..3..o.. | * * 60 ♦ 0 0 16 0 16 | 0 0 48 128 8 48 8 | 0 0 0 64 192 192 64 64 64 | 0 0 0 16 16 128 96 96 128 96 32 16 16 | 0 2 0 32 32 64 32 24 64 2 | 0 4 16 8 16 ---------------------------------------------+---------+-------------------+--------------------------------+-------------------------------------------+----------------------------------------------------------+----------------------------------------+----------------- oo...3oo...3oo... *b3oo...3oo...3oo...&#x & | 1 1 0 | 64 * * * * ♦ 15 0 0 0 0 0 0 | 60 0 0 0 0 0 0 0 0 | 20 60 0 0 0 0 0 0 0 0 0 0 0 | 30 15 0 0 0 0 0 0 0 0 | 6 6 0 0 0 .x... ..... ..... ..... ..... ..... & | 0 2 0 | * 480 * * * ♦ 1 8 6 0 0 0 0 | 8 4 12 24 12 0 0 0 0 | 4 12 8 12 12 24 4 4 0 0 0 0 0 | 8 6 2 12 8 8 0 1 0 0 | 2 4 4 2 0 .oo..3.oo..3.oo.. *b3.oo..3.oo..3.oo..&#x & | 0 1 1 | * * 960 * * ♦ 0 0 6 8 1 0 0 | 0 0 0 12 24 12 4 8 0 | 0 0 0 4 4 24 12 12 12 8 4 0 0 | 0 1 0 8 8 12 2 6 8 0 | 0 2 4 4 2 .o.o.3.o.o.3.o.o. *b3.o.o.3.o.o.3.o.o.&#x | 0 2 0 | * * * 32 * ♦ 0 0 0 0 15 0 0 | 0 0 0 0 0 0 0 60 0 | 0 0 0 0 0 0 0 0 0 60 20 0 0 | 0 0 0 0 0 0 0 15 30 0 | 0 0 0 6 6 ..... ..... ..... ..... ..x.. ..... | 0 0 2 | * * * * 480 ♦ 0 0 0 8 0 6 1 | 0 0 0 0 12 24 8 4 12 | 0 0 0 0 0 8 12 12 24 12 4 4 4 | 0 0 0 2 8 8 8 6 12 1 | 0 2 2 4 4 ---------------------------------------------+---------+-------------------+--------------------------------+-------------------------------------------+----------------------------------------------------------+----------------------------------------+----------------- ox... ..... ..... ..... ..... .....&#x & | 1 2 0 | 2 1 0 0 0 | 480 * * * * * * ♦ 8 0 0 0 0 0 0 0 0 | 4 12 0 0 0 0 0 0 0 0 0 0 0 | 8 6 0 0 0 0 0 0 0 0 | 2 4 0 0 0 .x...3.o... ..... ..... ..... ..... & | 0 3 0 | 0 3 0 0 0 | * 1280 * * * * * ♦ 1 1 3 3 0 0 0 0 0 | 1 3 3 3 3 3 0 0 0 0 0 0 0 | 3 3 1 3 3 1 0 0 0 0 | 1 3 1 1 0 .xo.. ..... ..... ..... ..... .....&#x & | 0 2 1 | 0 1 2 0 0 | * * 2880 * * * * ♦ 0 0 0 4 4 0 0 0 0 | 0 0 0 2 2 8 2 2 0 0 0 0 0 | 0 1 0 4 4 4 0 1 0 0 | 0 2 2 2 0 ..... ..... ..... ..... .ox.. .....&#x & | 0 1 2 | 0 0 2 0 1 | * * * 3840 * * * ♦ 0 0 0 0 3 3 1 1 0 | 0 0 0 0 0 3 3 3 3 3 1 0 0 | 0 0 0 1 3 3 1 3 3 0 | 0 1 1 3 1 .ooo.3.ooo.3.ooo. *b3.ooo.3.ooo.3.ooo.&#xt | 0 2 1 | 0 0 2 1 0 | * * * * 480 * * ♦ 0 0 0 0 0 0 0 8 0 | 0 0 0 0 0 0 0 0 0 12 4 0 0 | 0 0 0 0 0 0 0 6 8 0 | 0 0 0 4 2 ..... ..... ..... ..o..3..x.. ..... | 0 0 3 | 0 0 0 0 3 | * * * * * 960 * ♦ 0 0 0 0 0 4 0 0 4 | 0 0 0 0 0 0 2 0 8 2 0 2 2 | 0 0 0 0 4 0 4 1 4 1 | 0 2 0 2 2 ..... ..... ..... ..... ..x..3..o.. | 0 0 3 | 0 0 0 0 3 | * * * * * * 160 ♦ 0 0 0 0 0 0 8 0 0 | 0 0 0 0 0 0 0 12 0 0 4 0 0 | 0 0 0 0 0 8 0 6 0 0 | 0 0 2 4 0 ---------------------------------------------+---------+-------------------+--------------------------------+-------------------------------------------+----------------------------------------------------------+----------------------------------------+----------------- ox...3oo... ..... ..... ..... .....&#x & ♦ 1 3 0 | 3 3 0 0 0 | 3 1 0 0 0 0 0 | 1280 * * * * * * * * | 1 3 0 0 0 0 0 0 0 0 0 0 0 | 3 3 0 0 0 0 0 0 0 0 | 1 3 0 0 0 .x...3.o...3.o... ..... ..... ..... & ♦ 0 4 0 | 0 6 0 0 0 | 0 4 0 0 0 0 0 | * 320 * * * * * * * | 1 0 0 3 0 0 0 0 0 0 0 0 0 | 0 3 0 3 0 0 0 0 0 0 | 0 3 1 0 0 .x...3.o... ..... *b3.o... ..... ..... & ♦ 0 4 0 | 0 6 0 0 0 | 0 4 0 0 0 0 0 | * * 960 * * * * * * | 0 1 2 0 1 0 0 0 0 0 0 0 0 | 2 1 1 0 2 0 0 0 0 0 | 1 2 0 1 0 .xo..3.oo.. ..... ..... ..... .....&#x & ♦ 0 3 1 | 0 3 3 0 0 | 0 1 3 0 0 0 0 | * * * 3840 * * * * * | 0 0 0 1 1 2 0 0 0 0 0 0 0 | 0 1 0 2 2 1 0 0 0 0 | 0 2 1 1 0 .xo.. ..... ..... ..... .ox.. .....&#x & ♦ 0 2 2 | 0 1 4 0 1 | 0 0 2 2 0 0 0 | * * * * 5760 * * * * | 0 0 0 0 0 2 1 1 0 0 0 0 0 | 0 0 0 1 2 2 0 1 0 0 | 0 1 1 2 0 ..... ..... ..... .oo..3.ox.. .....&#x & ♦ 0 1 3 | 0 0 3 0 3 | 0 0 0 3 0 1 0 | * * * * * 3840 * * * | 0 0 0 0 0 0 1 0 2 1 0 0 0 | 0 0 0 0 2 0 1 1 2 0 | 0 1 0 2 1 ..... ..... ..... ..... .ox..3.oo..&#x & ♦ 0 1 3 | 0 0 3 0 3 | 0 0 0 3 0 0 1 | * * * * * * 1280 * * | 0 0 0 0 0 0 0 3 0 0 1 0 0 | 0 0 0 0 0 3 0 3 0 0 | 0 0 1 3 0 ..... ..... ..... ..... .oxo. .....&#xt ♦ 0 2 2 | 0 0 4 1 1 | 0 0 0 2 2 0 0 | * * * * * * * 1920 * | 0 0 0 0 0 0 0 0 0 3 1 0 0 | 0 0 0 0 0 0 0 3 3 0 | 0 0 0 3 1 ..... ..o.. ..... *b3..o..3..x.. ..... ♦ 0 0 4 | 0 0 0 0 6 | 0 0 0 0 0 4 0 | * * * * * * * * 960 | 0 0 0 0 0 0 0 0 2 0 0 1 1 | 0 0 0 0 2 0 2 0 1 1 | 0 2 0 1 1 ---------------------------------------------+---------+-------------------+--------------------------------+-------------------------------------------+----------------------------------------------------------+----------------------------------------+----------------- ox...3oo...3oo... ..... ..... .....&#x & ♦ 1 4 0 | 4 6 0 0 0 | 6 4 0 0 0 0 0 | 4 1 0 0 0 0 0 0 0 | 320 * * * * * * * * * * * * | 0 3 0 0 0 0 0 0 0 0 | 0 3 0 0 0 ox...3oo... ..... *b3oo... ..... .....&#x & ♦ 1 4 0 | 4 6 0 0 0 | 6 4 0 0 0 0 0 | 4 0 1 0 0 0 0 0 0 | * 960 * * * * * * * * * * * | 2 1 0 0 0 0 0 0 0 0 | 1 2 0 0 0 .x...3.o... ..... *b3.o...3.o... ..... & ♦ 0 5 0 | 0 10 0 0 0 | 0 10 0 0 0 0 0 | 0 0 5 0 0 0 0 0 0 | * * 384 * * * * * * * * * * | 1 0 1 0 1 0 0 0 0 0 | 1 1 0 1 0 .xo..3.oo..3.oo.. ..... ..... .....&#x & ♦ 0 4 1 | 0 6 4 0 0 | 0 4 6 0 0 0 0 | 0 1 0 4 0 0 0 0 0 | * * * 960 * * * * * * * * * | 0 1 0 2 0 0 0 0 0 0 | 0 2 1 0 0 .xo..3.oo.. ..... *b3.oo.. ..... .....&#x & ♦ 0 4 1 | 0 6 4 0 0 | 0 4 6 0 0 0 0 | 0 0 1 4 0 0 0 0 0 | * * * * 960 * * * * * * * * | 0 1 0 0 2 0 0 0 0 0 | 0 2 0 1 0 .xo..3.oo.. ..... ..... .ox.. .....&#x & ♦ 0 3 2 | 0 3 6 0 1 | 0 1 6 3 0 0 0 | 0 0 0 2 3 0 0 0 0 | * * * * * 3840 * * * * * * * | 0 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0 .xo.. ..... ..... .oo..3.ox.. .....&#x & ♦ 0 2 3 | 0 1 6 0 3 | 0 0 3 6 0 1 0 | 0 0 0 0 3 2 0 0 0 | * * * * * * 1920 * * * * * * | 0 0 0 0 2 0 0 1 0 0 | 0 1 0 2 0 .xo.. ..... ..... ..... .ox..3.oo..&#x & ♦ 0 2 3 | 0 1 6 0 3 | 0 0 3 6 0 0 1 | 0 0 0 0 3 0 2 0 0 | * * * * * * * 1920 * * * * * | 0 0 0 0 0 2 0 1 0 0 | 0 0 1 2 0 ..... .oo.. ..... *b3.oo..3.ox.. .....&#x & ♦ 0 1 4 | 0 0 4 0 6 | 0 0 0 6 0 4 0 | 0 0 0 0 0 4 0 0 1 | * * * * * * * * 1920 * * * * | 0 0 0 0 1 0 1 0 1 0 | 0 1 0 1 1 ..... ..... ..... .ooo.3.oxo. .....&#xt ♦ 0 2 3 | 0 0 6 1 3 | 0 0 0 6 3 1 0 | 0 0 0 0 0 2 0 3 0 | * * * * * * * * * 1920 * * * | 0 0 0 0 0 0 0 1 2 0 | 0 0 0 2 1 ..... ..... ..... ..... .oxo.3.ooo.&#xt ♦ 0 2 3 | 0 0 6 1 3 | 0 0 0 6 3 0 1 | 0 0 0 0 0 0 2 3 0 | * * * * * * * * * * 640 * * | 0 0 0 0 0 0 0 3 0 0 | 0 0 0 3 0 ..o..3..o.. ..... *b3..o..3..x.. ..... ♦ 0 0 5 | 0 0 0 0 10 | 0 0 0 0 0 10 0 | 0 0 0 0 0 0 0 0 5 | * * * * * * * * * * * 192 * | 0 0 0 0 2 0 0 0 0 1 | 0 2 0 1 0 ..... ..o..3..o.. *b3..o..3..x.. ..... ♦ 0 0 5 | 0 0 0 0 10 | 0 0 0 0 0 10 0 | 0 0 0 0 0 0 0 0 5 | * * * * * * * * * * * * 192 | 0 0 0 0 0 0 2 0 0 1 | 0 2 0 0 1 ---------------------------------------------+---------+-------------------+--------------------------------+-------------------------------------------+----------------------------------------------------------+----------------------------------------+----------------- ox...3oo... ..... *b3oo...3oo... .....&#x & ♦ 1 5 0 | 5 10 0 0 0 | 10 10 0 0 0 0 0 | 10 0 5 0 0 0 0 0 0 | 0 5 1 0 0 0 0 0 0 0 0 0 0 | 384 * * * * * * * * * | 1 1 0 0 0 oxo..3ooo..3ooo.. *b3ooo.. ..... .....&#x & ♦ 1 8 1 | 8 24 8 0 0 | 24 32 24 0 0 0 0 | 32 8 8 32 0 0 0 0 0 | 8 8 0 8 8 0 0 0 0 0 0 0 0 | * 120 * * * * * * * * | 0 2 0 0 0 .x...3.o... ..... *b3.o...3.o...3.o... & ♦ 0 6 0 | 0 15 0 0 0 | 0 20 0 0 0 0 0 | 0 0 15 0 0 0 0 0 0 | 0 0 6 0 0 0 0 0 0 0 0 0 0 | * * 64 * * * * * * * | 1 0 0 1 0 .xo..3.oo..3.oo.. ..... .ox.. .....&#x & ♦ 0 4 2 | 0 6 8 0 1 | 0 4 12 4 0 0 0 | 0 1 0 8 6 0 0 0 0 | 0 0 0 2 0 4 0 0 0 0 0 0 0 | * * * 960 * * * * * * | 0 1 1 0 0 .xo..3.oo.. ..... *b3.oo..3.ox.. .....&#x & ♦ 0 5 5 | 0 10 20 0 10 | 0 10 30 30 0 10 0 | 0 0 5 20 30 20 0 0 5 | 0 0 1 0 5 10 10 0 5 0 0 1 0 | * * * * 384 * * * * * | 0 1 0 1 0 .xo..3.oo.. ..... ..... .ox..3.oo..&#x & ♦ 0 3 3 | 0 3 9 0 3 | 0 1 9 9 0 0 1 | 0 0 0 3 9 0 3 0 0 | 0 0 0 0 0 3 0 3 0 0 0 0 0 | * * * * * 1280 * * * * | 0 0 1 1 0 ..... .oo..3.oo.. *b3.oo..3.ox.. .....&#x & ♦ 0 1 5 | 0 0 5 0 10 | 0 0 0 10 0 10 0 | 0 0 0 0 0 10 0 0 5 | 0 0 0 0 0 0 0 0 5 0 0 0 1 | * * * * * * 384 * * * | 0 1 0 0 1 .xox. ..... ..... .ooo.3.oxo.3.ooo.&#xt ♦ 0 4 6 | 0 2 24 2 12 | 0 0 12 48 12 4 4 | 0 0 0 0 24 16 16 24 0 | 0 0 0 0 0 0 8 8 0 8 8 0 0 | * * * * * * * 240 * * | 0 0 0 2 0 ..... .ooo. ..... *b3.ooo.3.oxo. .....&#x ♦ 0 2 4 | 0 0 8 1 6 | 0 0 0 12 4 4 0 | 0 0 0 0 0 8 0 6 1 | 0 0 0 0 0 0 0 0 2 4 0 0 0 | * * * * * * * * 960 * | 0 0 0 1 1 ..o..3..o..3..o.. *b3..o..3..x.. ..... ♦ 0 0 10 | 0 0 0 0 40 | 0 0 0 0 0 80 0 | 0 0 0 0 0 0 0 0 80 | 0 0 0 0 0 0 0 0 0 0 0 16 16 | * * * * * * * * * 12 | 0 2 0 0 0 ---------------------------------------------+---------+-------------------+--------------------------------+-------------------------------------------+----------------------------------------------------------+----------------------------------------+----------------- ox...3oo... ..... *b3oo...3oo...3oo...&#x & ♦ 1 6 0 | 6 15 0 0 0 | 15 20 0 0 0 0 0 | 20 0 15 0 0 0 0 0 0 | 0 15 6 0 0 0 0 0 0 0 0 0 0 | 6 0 1 0 0 0 0 0 0 0 | 64 * * * * oxo..3ooo..3ooo.. *b3ooo..3oox.. .....&#xt & ♦ 1 16 10 | 16 80 80 0 40 | 80 160 240 160 0 80 0 | 160 40 80 320 240 160 0 0 80 | 40 80 16 80 80 160 80 0 80 0 0 16 16 | 16 10 0 40 16 0 16 0 0 1 | * 24 * * * .xo..3.oo..3.oo.. ..... .ox..3.oo..&#x & ♦ 0 4 3 | 0 6 12 0 3 | 0 4 18 12 0 0 1 | 0 1 0 12 18 0 4 0 0 | 0 0 0 3 0 12 0 6 0 0 0 0 0 | 0 0 0 3 0 4 0 0 0 0 | * * 320 * * .xox.3.ooo. ..... *b3.ooo.3.oxo.3.ooo.&#xt ♦ 0 12 15 | 0 30 120 6 60 | 0 40 180 360 60 60 20 | 0 0 30 120 360 240 120 180 30 | 0 0 12 0 30 120 120 120 60 120 60 6 0 | 0 0 2 0 12 40 0 15 30 0 | * * * 32 * ..... .ooo.3.ooo. *b3.ooo.3.oxo. .....&#x ♦ 0 2 5 | 0 0 10 1 10 | 0 0 0 20 5 10 0 | 0 0 0 0 0 20 0 10 5 | 0 0 0 0 0 0 0 0 10 10 0 0 1 | 0 0 0 0 0 0 2 0 5 0 | * * * * 192
oxo3ooo3ooo *b3ooo3oox3ooo uxo&#zxt → both heights = 0 (tegum sum of u-line, haxip and rag) o..3o..3o.. *b3o..3o..3o.. o.. | 2 * * ♦ 32 0 0 0 0 | 240 0 0 0 0 0 0 | 640 0 0 0 0 0 0 0 0 | 160 480 0 0 0 0 0 0 0 0 0 0 0 | 192 60 0 0 0 0 0 0 0 0 | 32 12 0 0 0 .o.3.o.3.o. *b3.o.3.o.3.o. .o. | * 64 * ♦ 1 15 15 1 0 | 15 60 90 60 15 0 0 | 60 20 60 180 180 60 20 60 0 | 20 60 30 60 60 180 60 60 30 60 20 0 0 | 30 15 6 60 30 60 6 15 30 0 | 6 6 20 6 6 ..o3..o3..o *b3..o3..o3..o ..o | * * 60 ♦ 0 0 16 0 16 | 0 0 48 128 8 48 8 | 0 0 0 64 192 192 64 64 64 | 0 0 0 16 16 128 96 96 128 96 32 16 16 | 0 2 0 32 32 64 32 24 64 2 | 0 4 16 8 16 -----------------------------------+---------+-------------------+--------------------------------+-------------------------------------------+----------------------------------------------------------+----------------------------------------+----------------- oo.3oo.3oo. *b3oo.3oo.3oo. oo.&#x | 1 1 0 | 64 * * * * ♦ 15 0 0 0 0 0 0 | 60 0 0 0 0 0 0 0 0 | 20 60 0 0 0 0 0 0 0 0 0 0 0 | 30 15 0 0 0 0 0 0 0 0 | 6 6 0 0 0 .x. ... ... ... ... ... ... | 0 2 0 | * 480 * * * ♦ 1 8 6 0 0 0 0 | 8 4 12 24 12 0 0 0 0 | 4 12 8 12 12 24 4 4 0 0 0 0 0 | 8 6 2 12 8 8 0 1 0 0 | 2 4 4 2 0 .oo3.oo3.oo *b3.oo3.oo3.oo .oo&#x | 0 1 1 | * * 960 * * ♦ 0 0 6 8 1 0 0 | 0 0 0 12 24 12 4 8 0 | 0 0 0 4 4 24 12 12 12 8 4 0 0 | 0 1 0 8 8 12 2 6 8 0 | 0 2 4 4 2 ... ... ... ... ... ... .x.&#x | 0 2 0 | * * * 32 * ♦ 0 0 0 0 15 0 0 | 0 0 0 0 0 0 0 60 0 | 0 0 0 0 0 0 0 0 0 60 20 0 0 | 0 0 0 0 0 0 0 15 30 0 | 0 0 0 6 6 ... ... ... ... ..x ... ... | 0 0 2 | * * * * 480 ♦ 0 0 0 8 0 6 1 | 0 0 0 0 12 24 8 4 12 | 0 0 0 0 0 8 12 12 24 12 4 4 4 | 0 0 0 2 8 8 8 6 12 1 | 0 2 2 4 4 -----------------------------------+---------+-------------------+--------------------------------+-------------------------------------------+----------------------------------------------------------+----------------------------------------+----------------- ox. ... ... ... ... ... ...&#x | 1 2 0 | 2 1 0 0 0 | 480 * * * * * * ♦ 8 0 0 0 0 0 0 0 0 | 4 12 0 0 0 0 0 0 0 0 0 0 0 | 8 6 0 0 0 0 0 0 0 0 | 2 4 0 0 0 .x.3.o. ... ... ... ... ... | 0 3 0 | 0 3 0 0 0 | * 1280 * * * * * ♦ 1 1 3 3 0 0 0 0 0 | 1 3 3 3 3 3 0 0 0 0 0 0 0 | 3 3 1 3 3 1 0 0 0 0 | 1 3 1 1 0 .xo ... ... ... ... ... ...&#x | 0 2 1 | 0 1 2 0 0 | * * 2880 * * * * ♦ 0 0 0 4 4 0 0 0 0 | 0 0 0 2 2 8 2 2 0 0 0 0 0 | 0 1 0 4 4 4 0 1 0 0 | 0 2 2 2 0 ... ... ... ... .ox ... ...&#x | 0 1 2 | 0 0 2 0 1 | * * * 3840 * * * ♦ 0 0 0 0 3 3 1 1 0 | 0 0 0 0 0 3 3 3 3 3 1 0 0 | 0 0 0 1 3 3 1 3 3 0 | 0 1 1 3 1 ... ... ... ... ... ... .xo&#x | 0 2 1 | 0 0 2 1 0 | * * * * 480 * * ♦ 0 0 0 0 0 0 0 8 0 | 0 0 0 0 0 0 0 0 0 12 4 0 0 | 0 0 0 0 0 0 0 6 8 0 | 0 0 0 4 2 ... ... ... ..o3..x ... ... | 0 0 3 | 0 0 0 0 3 | * * * * * 960 * ♦ 0 0 0 0 0 4 0 0 4 | 0 0 0 0 0 0 2 0 8 2 0 2 2 | 0 0 0 0 4 0 4 1 4 1 | 0 2 0 2 2 ... ... ... ... ..x3..o ... | 0 0 3 | 0 0 0 0 3 | * * * * * * 160 ♦ 0 0 0 0 0 0 8 0 0 | 0 0 0 0 0 0 0 12 0 0 4 0 0 | 0 0 0 0 0 8 0 6 0 0 | 0 0 2 4 0 -----------------------------------+---------+-------------------+--------------------------------+-------------------------------------------+----------------------------------------------------------+----------------------------------------+----------------- ox.3oo. ... ... ... ... ...&#x ♦ 1 3 0 | 3 3 0 0 0 | 3 1 0 0 0 0 0 | 1280 * * * * * * * * | 1 3 0 0 0 0 0 0 0 0 0 0 0 | 3 3 0 0 0 0 0 0 0 0 | 1 3 0 0 0 .x.3.o.3.o. ... ... ... ... ♦ 0 4 0 | 0 6 0 0 0 | 0 4 0 0 0 0 0 | * 320 * * * * * * * | 1 0 0 3 0 0 0 0 0 0 0 0 0 | 0 3 0 3 0 0 0 0 0 0 | 0 3 1 0 0 .x.3.o. ... *b3.o. ... ... ... ♦ 0 4 0 | 0 6 0 0 0 | 0 4 0 0 0 0 0 | * * 960 * * * * * * | 0 1 2 0 1 0 0 0 0 0 0 0 0 | 2 1 1 0 2 0 0 0 0 0 | 1 2 0 1 0 .xo3.oo ... ... ... ... ...&#x ♦ 0 3 1 | 0 3 3 0 0 | 0 1 3 0 0 0 0 | * * * 3840 * * * * * | 0 0 0 1 1 2 0 0 0 0 0 0 0 | 0 1 0 2 2 1 0 0 0 0 | 0 2 1 1 0 .xo ... ... ... .ox ... ...&#x ♦ 0 2 2 | 0 1 4 0 1 | 0 0 2 2 0 0 0 | * * * * 5760 * * * * | 0 0 0 0 0 2 1 1 0 0 0 0 0 | 0 0 0 1 2 2 0 1 0 0 | 0 1 1 2 0 ... ... ... .oo3.ox ... ...&#x ♦ 0 1 3 | 0 0 3 0 3 | 0 0 0 3 0 1 0 | * * * * * 3840 * * * | 0 0 0 0 0 0 1 0 2 1 0 0 0 | 0 0 0 0 2 0 1 1 2 0 | 0 1 0 2 1 ... ... ... ... .ox3.oo ...&#x ♦ 0 1 3 | 0 0 3 0 3 | 0 0 0 3 0 0 1 | * * * * * * 1280 * * | 0 0 0 0 0 0 0 3 0 0 1 0 0 | 0 0 0 0 0 3 0 3 0 0 | 0 0 1 3 0 ... ... ... ... .ox ... .xo&#x ♦ 0 2 2 | 0 0 4 1 1 | 0 0 0 2 2 0 0 | * * * * * * * 1920 * | 0 0 0 0 0 0 0 0 0 3 1 0 0 | 0 0 0 0 0 0 0 3 3 0 | 0 0 0 3 1 ... ..o ... *b3..o3..x ... ... ♦ 0 0 4 | 0 0 0 0 6 | 0 0 0 0 0 4 0 | * * * * * * * * 960 | 0 0 0 0 0 0 0 0 2 0 0 1 1 | 0 0 0 0 2 0 2 0 1 1 | 0 2 0 1 1 -----------------------------------+---------+-------------------+--------------------------------+-------------------------------------------+----------------------------------------------------------+----------------------------------------+----------------- ox.3oo.3oo. ... ... ... ...&#x ♦ 1 4 0 | 4 6 0 0 0 | 6 4 0 0 0 0 0 | 4 1 0 0 0 0 0 0 0 | 320 * * * * * * * * * * * * 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-----------------------------------+---------+-------------------+--------------------------------+-------------------------------------------+----------------------------------------------------------+----------------------------------------+----------------- ox.3oo. ... *b3oo.3oo. ... ...&#x ♦ 1 5 0 | 5 10 0 0 0 | 10 10 0 0 0 0 0 | 10 0 5 0 0 0 0 0 0 | 0 5 1 0 0 0 0 0 0 0 0 0 0 | 384 * * * * * * * * * | 1 1 0 0 0 oxo3ooo3ooo *b3ooo ... ... ...&#xt ♦ 1 8 1 | 8 24 8 0 0 | 24 32 24 0 0 0 0 | 32 8 8 32 0 0 0 0 0 | 8 8 0 8 8 0 0 0 0 0 0 0 0 | * 120 * * * * * * * * | 0 2 0 0 0 .x.3.o. ... *b3.o.3.o.3.o. ... ♦ 0 6 0 | 0 15 0 0 0 | 0 20 0 0 0 0 0 | 0 0 15 0 0 0 0 0 0 | 0 0 6 0 0 0 0 0 0 0 0 0 0 | * * 64 * * * * * * * | 1 0 0 1 0 .xo3.oo3.oo ... .ox ... ...&#x ♦ 0 4 2 | 0 6 8 0 1 | 0 4 12 4 0 0 0 | 0 1 0 8 6 0 0 0 0 | 0 0 0 2 0 4 0 0 0 0 0 0 0 | * * * 960 * * * * * * | 0 1 1 0 0 .xo3.oo ... *b3.oo3.ox ... ...&#x ♦ 0 5 5 | 0 10 20 0 10 | 0 10 30 30 0 10 0 | 0 0 5 20 30 20 0 0 5 | 0 0 1 0 5 10 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♦ 0 2 5 | 0 0 10 1 10 | 0 0 0 20 5 10 0 | 0 0 0 0 0 20 0 10 5 | 0 0 0 0 0 0 0 0 10 10 0 0 1 | 0 0 0 0 0 0 2 0 5 0 | * * * * 192
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0 12 0 6 | 0 0 0 0 0 0 0 6 0 0 6 4 0 6 12 4 4 0 4 0 12 6 12 0 4 | 0 0 0 0 4 1 0 4 6 4 4 1 12 4 4 1 | 0 0 1 1 1 5 4 ------------------------------------------+----------+---------------------------+--------------------------------------------------------+--------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------+------------------------------------------------------------+---------------------- x....3o.... ..... ..... ..... ..... & | 3 0 0 | 3 0 0 0 0 0 0 | 70 * * * * * * * * * * * * ♦ 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6 4 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 4 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 1 0 4 0 0 0 xo... ..... ..... ..... ..... .....&#x & | 2 1 0 | 1 2 0 0 0 0 0 | * 420 * * * * * * * * * * * ♦ 0 2 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 6 3 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 3 6 2 0 3 0 0 0 0 0 0 0 0 0 0 | 0 2 0 3 0 1 0 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3 | 0 0 0 0 0 0 0 6 3 0 0 0 1 | 0 0 0 0 0 0 0 0 0 0 2 3 0 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * 840 * * * * * * * * * * | 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 | 0 0 0 1 0 1 1 .ox.. ..... .oo..3.xo.. ..... .....&#x & ♦ 0 3 2 | 0 0 0 3 6 0 1 | 0 0 0 0 0 1 0 3 6 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 3 2 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * 840 * * * * * * * * * | 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 | 0 0 0 1 0 2 0 .ox.. ..... ..... .xo..3.oo.. .....&#x & ♦ 0 3 2 | 0 0 0 3 6 0 1 | 0 0 0 0 0 0 1 3 6 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 3 0 2 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * 840 * * * * * * * * | 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 | 0 0 0 1 0 1 1 ..... .oo..3.oo..3.xo.. ..... .....&#x & ♦ 0 4 1 | 0 0 0 6 4 0 0 | 0 0 0 0 0 4 0 0 6 0 0 0 0 | 0 0 0 0 0 0 0 0 1 0 0 0 4 0 0 0 0 0 0 0 | * * * * * * * * * * * * * * * * * 420 * * * * * * * | 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 | 0 0 0 1 1 1 0 ..... ..... .oo..3.xo.. ..... .ox..&#x & ♦ 0 3 2 | 0 0 0 3 6 0 1 | 0 0 0 0 0 1 0 0 6 3 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 3 0 0 0 0 0 | * * * * * * * * * * * * * * * * * * 840 * * * * * * | 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 | 0 0 0 0 1 2 0 ..... ..... ..... .x.o.3.o.o.3.o.o.&#x & ♦ 0 5 0 | 0 0 0 6 0 4 0 | 0 0 0 0 0 0 4 0 0 0 6 0 0 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 4 0 0 0 | * * * * * * * * * * * * * * * * * * * 70 * * * * * | 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 | 0 0 0 0 0 3 0 .oxo.3.ooo. ..... ..... ..... .....&#x & ♦ 0 2 3 | 0 0 0 0 6 1 3 | 0 0 0 0 0 0 0 3 0 3 0 3 1 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 3 0 0 | * * * * * * * * * * * * * * * * * * * * 840 * * * * | 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 | 0 0 0 0 0 2 1 .oxo. ..... .oox. ..... ..... .....&#x & ♦ 0 3 2 | 0 0 0 1 6 2 1 | 0 0 0 0 0 0 0 1 2 2 1 4 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 0 | * * * * * * * * * * * * * * * * * * * * * 1260 * * * | 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 | 0 0 0 0 0 3 0 .oxo. ..... ..... .xoo. ..... .....&#x & ♦ 0 3 2 | 0 0 0 1 6 2 1 | 0 0 0 0 0 0 0 2 2 1 1 4 0 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 2 0 | * * * * * * * 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x....3o....3o....3o....3o.... ..... & ♦ 6 0 0 | 15 0 0 0 0 0 0 | 20 0 0 0 0 0 0 0 0 0 0 0 0 | 15 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 | 14 * * * * * * * * * * * * * * * | 1 0 0 1 0 0 0 xo...3oo...3oo...3ox... ..... .....&#x & ♦ 5 5 0 | 10 20 0 10 0 0 0 | 10 30 30 0 0 10 0 0 0 0 0 0 0 | 5 20 30 20 0 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 | 1 5 10 10 0 5 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | * 42 * * * * * * * * * * * * * * | 0 0 0 2 0 0 0 xo...3oo... ..... ox...3oo... .....&#x & ♦ 3 3 0 | 3 9 0 3 0 0 0 | 1 9 9 0 0 0 1 0 0 0 0 0 0 | 0 3 9 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * 280 * * * * * * * * * * * * * | 0 1 0 1 0 0 0 xo... ..... ..... ox...3oo...3oo...&#x & ♦ 2 4 0 | 1 8 0 6 0 0 0 | 0 4 12 0 0 0 4 0 0 0 0 0 0 | 0 0 6 0 8 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 | * * * 210 * * * * * * * * * * * * | 0 1 0 0 0 1 0 ..... ..... 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1 5 4 | 0 4 4 6 16 4 6 | 0 0 6 6 12 0 4 6 12 12 6 12 4 | 0 0 0 0 4 4 12 12 0 1 4 0 0 4 6 4 4 12 12 1 | 0 0 0 0 0 0 1 1 0 4 6 4 0 1 0 0 0 0 0 1 4 6 0 4 0 | * * * * * * * * 210 * * * * * * * | 0 0 0 0 0 2 0 .ox..3.oo..3.oo..3.xo.. ..... .....&#x & ♦ 0 5 5 | 0 0 0 10 20 0 10 | 0 0 0 0 0 10 0 30 30 0 0 0 10 | 0 0 0 0 0 0 0 0 5 0 20 30 20 0 0 0 0 0 0 5 | 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 10 0 5 0 0 0 0 0 0 1 | * * * * * * * * * 84 * * * * * * | 0 0 0 1 0 1 0 .ox..3.oo.. ..... .xo..3.oo.. .....&#x & ♦ 0 3 3 | 0 0 0 3 9 0 3 | 0 0 0 0 0 0 1 9 9 0 0 0 1 | 0 0 0 0 0 0 0 0 0 0 3 9 0 3 0 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 3 0 0 0 0 0 0 0 0 | * * * * * * * * * * 280 * * * * * | 0 0 0 1 0 0 1 ..... .oo..3.oo..3.xo.. ..... .ox..&#x & ♦ 0 4 2 | 0 0 0 6 8 0 1 | 0 0 0 0 0 4 0 0 12 4 0 0 0 | 0 0 0 0 0 0 0 0 1 0 0 0 8 0 6 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 0 0 0 0 0 0 | * * * * * * * * * * * 210 * * * * | 0 0 0 0 1 1 0 .oxo.3.ooo. ..... .xoo. ..... .....&#x & ♦ 0 3 3 | 0 0 0 1 9 2 3 | 0 0 0 0 0 0 0 6 3 3 1 6 1 | 0 0 0 0 0 0 0 0 0 0 2 3 0 0 0 1 0 6 3 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 2 0 3 0 0 | * * * * * * * * * * * * 840 * * * | 0 0 0 0 0 1 1 .oxo. ..... .oox.3.xoo. ..... .oxo.&#xt ♦ 0 6 4 | 0 0 0 6 24 6 4 | 0 0 0 0 0 2 0 12 24 12 6 24 0 | 0 0 0 0 0 0 0 0 0 0 0 12 8 0 12 0 0 24 24 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 0 0 12 12 0 0 | * * * * * * * * * * * * * 210 * * | 0 0 0 0 0 2 0 .oxo. ..... ..... .xoo.3.ooo. .....&#x & ♦ 0 4 2 | 0 0 0 3 8 3 1 | 0 0 0 0 0 0 1 3 6 1 3 6 0 | 0 0 0 0 0 0 0 0 0 0 0 3 0 2 0 0 1 3 6 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 3 2 0 | * * * * * * * * * * * * * * 840 * | 0 0 0 0 0 1 1 ..x..3..o..3..o..3..o..3..o.. ..... & ♦ 0 0 6 | 0 0 0 0 0 0 15 | 0 0 0 0 0 0 0 0 0 0 0 0 20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 | * * * * * * * * * * * * * * * 14 | 0 0 1 1 0 0 0 ------------------------------------------+----------+---------------------------+--------------------------------------------------------+--------------------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------+------------------------------------------------------------+---------------------- x....3o....3o....3o....3o....3o.... & ♦ 7 0 0 | 21 0 0 0 0 0 0 | 35 0 0 0 0 0 0 0 0 0 0 0 0 | 35 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 21 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 * * * * * * xo...3oo... ..... ox...3oo...3oo...&#x & ♦ 3 4 0 | 3 12 0 6 0 0 0 | 1 12 18 0 0 0 4 0 0 0 0 0 0 | 0 4 18 0 12 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | 0 0 6 0 12 0 3 0 0 0 0 0 0 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 | * 70 * * * * * ..... o.o..3o.o..3o.o..3o.o..3o.x..&#x & ♦ 1 0 6 | 0 0 6 0 0 0 15 | 0 0 0 15 0 0 0 0 0 0 0 0 20 | 0 0 0 0 0 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.xoo.3.ooo. .....&#x & ♦ 0 4 3 | 0 0 0 3 12 3 3 | 0 0 0 0 0 0 1 9 9 3 3 9 1 | 0 0 0 0 0 0 0 0 0 0 3 9 0 3 0 1 1 9 9 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 3 0 0 0 3 0 9 3 0 | 0 0 0 0 0 0 0 0 0 0 1 0 3 0 3 0 | * * * * * * 280
xoo3ooo3ooo3ooo3oox *c3oxo&#xt → both heights = 1/sqrt(3) = 0.577350 (jak || pseudo mo || alt. jak) o..3o..3o..3o..3o.. *c3o.. & | 54 * ♦ 16 16 0 | 80 80 80 0 | 160 160 160 160 0 | 80 40 160 80 160 40 80 0 | 16 10 80 40 80 10 16 | 1 16 11 16 .o.3.o.3.o.3.o.3.o. *c3.o. | * 72 ♦ 0 12 20 | 0 30 120 90 | 0 40 120 360 120 | 0 0 30 40 180 120 240 30 | 0 0 12 30 240 30 60 | 0 2 12 30 ---------------------------------+-------+-------------+---------------------+--------------------------+--------------------------------------+-----------------------------+------------- x.. ... ... ... ... ... & | 2 0 | 432 * * ♦ 10 5 0 0 | 30 20 10 0 0 | 20 10 30 10 10 0 0 0 | 5 5 20 10 5 0 0 | 1 5 5 1 oo.3oo.3oo.3oo.3oo. *c3oo.&#x & | 1 1 | * 864 * ♦ 0 5 10 0 | 0 10 20 30 0 | 0 0 10 10 30 10 20 0 | 0 0 5 10 20 5 5 | 0 1 6 5 ... ... ... ... ... .x. | 0 2 | * * 720 ♦ 0 0 6 9 | 0 0 6 36 18 | 0 0 0 2 18 18 36 6 | 0 0 0 6 18 9 12 | 0 0 6 6 ---------------------------------+-------+-------------+---------------------+--------------------------+--------------------------------------+-----------------------------+------------- x..3o.. ... ... ... ... & | 3 0 | 3 0 0 | 1440 * * * ♦ 6 2 0 0 0 | 6 3 6 1 0 0 0 0 | 2 3 6 3 0 0 0 | 1 2 3 0 xo. ... ... ... ... ...&#x & | 2 1 | 1 2 0 | * 2160 * * ♦ 0 4 4 0 0 | 0 0 6 4 6 0 0 0 | 0 0 4 6 4 0 0 | 0 1 4 1 ... ... ... ... ... ox.&#x & | 1 2 | 0 2 1 | * * 4320 * ♦ 0 0 2 6 0 | 0 0 0 1 6 3 6 0 | 0 0 0 3 6 3 2 | 0 0 4 2 ... ... .o. ... ... *c3.x. | 0 3 | 0 0 3 | * * * 2160 ♦ 0 0 0 4 4 | 0 0 0 0 2 4 8 2 | 0 0 0 2 4 4 4 | 0 0 4 2 ---------------------------------+-------+-------------+---------------------+--------------------------+--------------------------------------+-----------------------------+------------- x..3o..3o.. ... ... ... & ♦ 4 0 | 6 0 0 | 4 0 0 0 | 2160 * * * * | 2 1 1 0 0 0 0 0 | 1 2 2 1 0 0 0 | 1 1 2 0 tet xo.3oo. ... ... ... ...&#x & ♦ 3 1 | 3 3 0 | 1 3 0 0 | * 2880 * * * | 0 0 3 1 0 0 0 0 | 0 0 3 3 0 0 0 | 0 1 3 0 tet xo. ... ... ... ... ox.&#x & ♦ 2 2 | 1 4 1 | 0 2 2 0 | * * 4320 * * | 0 0 0 1 3 0 0 0 | 0 0 0 3 3 0 0 | 0 0 3 1 tet ... ... oo. ... ... *c3ox.&#x & ♦ 1 3 | 0 3 3 | 0 0 3 1 | * * * 8640 * | 0 0 0 0 1 1 2 0 | 0 0 0 1 2 2 1 | 0 0 3 1 tet ... .o.3.o. ... ... *c3.x. & ♦ 0 4 | 0 0 6 | 0 0 0 4 | * * * * 2160 | 0 0 0 0 0 1 2 1 | 0 0 0 1 1 2 2 | 0 0 3 1 tet ---------------------------------+-------+-------------+---------------------+--------------------------+--------------------------------------+-----------------------------+------------- x..3o..3o..3o.. ... ... & ♦ 5 0 | 10 0 0 | 10 0 0 0 | 5 0 0 0 0 | 864 * * * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0 pen x..3o..3o.. ... ... *c3o.. & ♦ 5 0 | 10 0 0 | 10 0 0 0 | 5 0 0 0 0 | * 432 * * * * * * | 0 2 0 1 0 0 0 | 1 0 2 0 pen xo.3oo.3oo. ... ... ...&#x & ♦ 4 1 | 6 4 0 | 4 6 0 0 | 1 4 0 0 0 | * * 2160 * * * * * | 0 0 2 1 0 0 0 | 0 1 2 0 pen xo.3oo. ... ... ... ox.&#x & ♦ 3 2 | 3 6 1 | 1 6 3 0 | 0 2 3 0 0 | * * * 1440 * * * * | 0 0 0 3 0 0 0 | 0 0 3 0 pen xo. ... oo. ... ... *c3ox.&#x & ♦ 2 3 | 1 6 3 | 0 3 6 1 | 0 0 3 2 0 | * * * * 4320 * * * | 0 0 0 1 2 0 0 | 0 0 2 1 pen ... oo.3oo. ... ... *c3ox.&#x & ♦ 1 4 | 0 4 6 | 0 0 6 4 | 0 0 0 4 1 | * * * * * 2160 * * | 0 0 0 1 0 2 0 | 0 0 3 0 pen ... ... oo.3oo. ... *c3ox.&#x & ♦ 1 4 | 0 4 6 | 0 0 6 4 | 0 0 0 4 1 | * * * * * * 4320 * | 0 0 0 0 1 1 1 | 0 0 2 1 pen .o.3.o.3.o. ... ... *c3.x. & ♦ 0 5 | 0 0 10 | 0 0 0 10 | 0 0 0 0 5 | * * * * * * * 432 | 0 0 0 1 0 0 2 | 0 0 2 1 pen ---------------------------------+-------+-------------+---------------------+--------------------------+--------------------------------------+-----------------------------+------------- x..3o..3o..3o..3o.. ... & ♦ 6 0 | 15 0 0 | 20 0 0 0 | 15 0 0 0 0 | 6 0 0 0 0 0 0 0 | 144 * * * * * * | 1 1 0 0 hix x..3o..3o..3o.. ... *c3o.. & ♦ 10 0 | 40 0 0 | 80 0 0 0 | 80 0 0 0 0 | 16 16 0 0 0 0 0 0 | * 54 * * * * * | 1 0 1 0 tac xo.3oo.3oo.3oo. ... ...&#x & ♦ 5 1 | 10 5 0 | 10 10 0 0 | 5 10 0 0 0 | 1 0 5 0 0 0 0 0 | * * 864 * * * * | 0 1 1 0 hix xo.3oo.3oo. ... ... *c3ox.&#x & ♦ 5 5 | 10 20 10 | 10 30 30 10 | 5 20 30 20 5 | 0 1 5 10 10 5 0 1 | * * * 432 * * * | 0 0 2 0 tac xo. ... oo.3oo. ... *c3ox.&#x & ♦ 2 4 | 1 8 6 | 0 4 12 4 | 0 0 6 8 1 | 0 0 0 0 4 0 2 0 | * * * * 2160 * * | 0 0 1 1 hix ... ooo3ooo3ooo ... *c3oxo&#xt ♦ 2 8 | 0 16 24 | 0 0 48 32 | 0 0 0 64 16 | 0 0 0 0 0 16 16 0 | * * * * * 270 * | 0 0 2 0 tac ... ... oo.3oo.3oo. *c3ox.&#x & ♦ 1 5 | 0 5 10 | 0 0 10 10 | 0 0 0 10 5 | 0 0 0 0 0 0 5 1 | * * * * * * 864 | 0 0 1 1 hix ---------------------------------+-------+-------------+---------------------+--------------------------+--------------------------------------+-----------------------------+------------- x..3o..3o..3o..3o.. *c3o.. & ♦ 27 0 | 216 0 0 | 720 0 0 0 | 1080 0 0 0 0 | 432 216 0 0 0 0 0 0 | 72 27 0 0 0 0 0 | 2 * * * jak xo.3oo.3oo.3oo.3oo. ...&#x & ♦ 6 1 | 15 6 0 | 20 15 0 0 | 15 20 0 0 0 | 6 0 15 0 0 0 0 0 | 1 0 6 0 0 0 0 | * 144 * * hop xoo3ooo3ooo3ooo ... *c3oxo&#xt & ♦ 11 16 | 40 96 80 | 80 160 320 160 | 80 160 240 480 120 | 16 16 80 80 160 120 160 16 | 0 1 16 16 40 10 16 | * * 54 * jak xo. ... oo.3oo.3oo. *c3ox.&#x & ♦ 2 5 | 1 10 10 | 0 5 20 10 | 0 0 10 20 5 | 0 0 0 0 10 0 10 1 | 0 0 0 0 5 0 2 | * * * 432 hop
xo3oo3oo3ox3oo3oo3xo&#zx → height = 0 (tegum sum of suph and he) o.3o.3o.3o.3o.3o.3o. | 56 * ♦ 12 20 0 | 30 120 90 0 | 40 120 360 120 0 | 30 40 180 120 240 30 0 | 12 30 120 30 60 | 2 12 30 .o3.o3.o3.o3.o3.o3.o | * 70 ♦ 0 16 16 | 0 48 144 48 | 0 32 288 288 32 | 0 8 96 144 288 96 8 | 0 24 96 36 96 | 0 12 32 ---------------------------+-------+--------------+--------------------+-------------------------+---------------------------------+-----------------------+---------- x. .. .. .. .. .. .. & | 2 0 | 336 * * ♦ 5 10 0 0 | 10 20 30 0 0 | 10 10 30 10 20 0 0 | 5 10 20 5 5 | 1 6 5 oo3oo3oo3oo3oo3oo3oo&#x | 1 1 | * 1120 * ♦ 0 6 9 0 | 0 6 36 18 0 | 0 2 18 18 36 6 0 | 0 6 18 9 12 | 0 6 6 .. .. .. .x .. .. .. | 0 2 | * * 560 ♦ 0 0 9 6 | 0 0 18 36 6 | 0 0 6 18 36 18 2 | 0 6 12 9 18 | 0 6 6 ---------------------------+-------+--------------+--------------------+-------------------------+---------------------------------+-----------------------+---------- x.3o. .. .. .. .. .. & | 3 0 | 3 0 0 | 560 * * * ♦ 4 4 0 0 0 | 6 4 6 0 0 0 0 | 4 6 4 0 0 | 1 4 1 xo .. .. .. .. .. ..&#x & | 2 1 | 1 2 0 | * 3360 * * ♦ 0 2 6 0 0 | 0 1 6 3 6 0 0 | 0 3 6 3 2 | 0 4 2 .. .. .. ox .. .. ..&#x | 1 2 | 0 2 1 | * * 5040 * ♦ 0 0 4 4 0 | 0 0 2 4 8 2 0 | 0 2 4 4 4 | 0 4 2 .. .. .o3.x .. .. .. & | 0 3 | 0 0 3 | * * * 1120 ♦ 0 0 0 6 2 | 0 0 0 3 6 6 1 | 0 3 2 3 6 | 0 4 2 ---------------------------+-------+--------------+--------------------+-------------------------+---------------------------------+-----------------------+---------- x.3o.3o. .. .. .. .. & ♦ 4 0 | 6 0 0 | 4 0 0 0 | 560 * * * * | 3 1 0 0 0 0 0 | 3 3 0 0 0 | 1 3 0 xo3oo .. .. .. .. ..&#x & ♦ 3 1 | 3 3 0 | 1 3 0 0 | * 2240 * * * | 0 1 3 0 0 0 0 | 0 3 3 0 0 | 0 3 1 xo .. .. ox .. .. ..&#x & ♦ 2 2 | 1 4 1 | 0 2 2 0 | * * 10080 * * | 0 0 1 1 2 0 0 | 0 1 2 2 1 | 0 3 1 .. .. oo3ox .. .. ..&#x & ♦ 1 3 | 0 3 3 | 0 0 3 1 | * * * 6720 * | 0 0 0 1 2 1 0 | 0 1 1 2 2 | 0 3 1 .. .o3.o3.x .. .. .. & ♦ 0 4 | 0 0 6 | 0 0 0 4 | * * * * 560 | 0 0 0 0 0 3 1 | 0 3 0 0 3 | 0 3 1 ---------------------------+-------+--------------+--------------------+-------------------------+---------------------------------+-----------------------+---------- x.3o.3o.3o. .. .. .. & ♦ 5 0 | 10 0 0 | 10 0 0 0 | 5 0 0 0 0 | 336 * * * * * * | 2 1 0 0 0 | 1 2 0 xo3oo3oo .. .. .. ..&#x & ♦ 4 1 | 6 4 0 | 4 6 0 0 | 1 4 0 0 0 | * 560 * * * * * | 0 3 0 0 0 | 0 3 0 xo3oo .. ox .. .. ..&#x & ♦ 3 2 | 3 6 1 | 1 6 3 0 | 0 2 3 0 0 | * * 3360 * * * * | 0 1 2 0 0 | 0 2 1 xo .. oo3ox .. .. ..&#x & ♦ 2 3 | 1 6 3 | 0 3 6 1 | 0 0 3 2 0 | * * * 3360 * * * | 0 1 0 2 0 | 0 3 0 xo .. .. ox3oo .. ..&#x & ♦ 2 3 | 1 6 3 | 0 3 6 1 | 0 0 3 2 0 | * * * * 6720 * * | 0 0 1 1 1 | 0 2 1 .. oo3oo3ox .. .. ..&#x & ♦ 1 4 | 0 4 6 | 0 0 6 4 | 0 0 0 4 1 | * * * * * 1680 * | 0 1 0 0 2 | 0 2 1 .o3.o3.o3.x .. .. .. & ♦ 0 5 | 0 0 10 | 0 0 0 10 | 0 0 0 0 5 | * * * * * * 112 | 0 3 0 0 0 | 0 3 0 ---------------------------+-------+--------------+--------------------+-------------------------+---------------------------------+-----------------------+---------- x.3o.3o.3o.3o. .. .. & ♦ 6 0 | 15 0 0 | 20 0 0 0 | 15 0 0 0 0 | 6 0 0 0 0 0 0 | 112 * * * * | 1 1 0 xo3oo3oo3ox .. .. ..&#x & ♦ 5 5 | 10 20 10 | 10 30 30 10 | 5 20 30 20 5 | 1 5 10 10 0 5 1 | * 336 * * * | 0 2 0 xo3oo .. ox3oo .. ..&#x & ♦ 3 3 | 3 9 3 | 1 9 9 1 | 0 3 9 3 0 | 0 0 3 0 3 0 0 | * * 2240 * * | 0 1 1 xo .. oo3ox3oo .. xo&#zx ♦ 4 6 | 4 24 12 | 0 24 48 8 | 0 0 48 32 0 | 0 0 0 16 16 0 0 | * * * 420 * | 0 2 0 xo .. .. ox3oo3oo ..&#x & ♦ 2 4 | 1 8 6 | 0 4 12 4 | 0 0 6 8 1 | 0 0 0 0 4 2 0 | * * * * 1680 | 0 1 1 ---------------------------+-------+--------------+--------------------+-------------------------+---------------------------------+-----------------------+---------- x.3o.3o.3o.3o.3o. .. & ♦ 7 0 | 21 0 0 | 35 0 0 0 | 35 0 0 0 0 | 21 0 0 0 0 0 0 | 7 0 0 0 0 | 16 * * xo3oo3oo3ox3oo .. xo&#zx & ♦ 12 15 | 36 120 60 | 40 240 360 80 | 30 120 540 360 30 | 12 30 120 180 240 60 6 | 2 12 40 15 30 | * 56 * xo3oo .. ox3oo3oo ..&#x & ♦ 3 4 | 3 12 6 | 1 12 18 4 | 0 4 18 12 1 | 0 0 6 0 12 3 0 | 0 0 4 0 3 | * * 560
ox(uo)xo ox(oo)oo3oo(oo)oo3oo(oo)xo *c3oo(ox)oo3xo(oo)ox&#xt → all heights = 1/sqrt(8) = 0.353553 (tac || pseudo hinnip || pseudo compound of perp u-line and rat || pseudo alt. hinnip || tac) ...
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