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Acronym
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broc (old: droc)
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Name
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birectified octaexon,
duorectified octaexon,
vertex figure of bif,
Gosset polytope 04,2
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Circumradius
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sqrt(15)/4 = 0.968246
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Inradius
wrt. ril
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5/sqrt(112) = 0.472456
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Inradius
wrt. bril
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3/sqrt(112) = 0.283473
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Lace city
in approx. ASCII-art
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h r -- o3x3o3o3o3o (ril)
r d -- o3o3x3o3o3o (bril)
where:
h = x3o3o3o3o (hix)
r = o3x3o3o3o (rix)
d = o3o3x3o3o (dot)
|
+-------- o3o o3o3o3o (point)
/ +------ x3o x3o3o3o (trapen)
/ / +---- o3x o3x3o3o (gyro trarap)
/ / / +-- o3o o3o3x3o (inv. rap)
/ / / /
o q r -- o3x3o3o3o3o (ril)
p s R -- o3o3x3o3o3o (bril)
\ \ \
| | +-- o o3o3x3o3o (dot)
\ +----- x o3x3o3o3o (rixip)
+------- o x3o3o3o3o (hix)
where:
o = o o3o3o3o (point)
q = x x3o3o3o (penp)
r = o o3x3o3o (rap)
p = o x3o3o3o (pen)
s = x o3x3o3o (rappip)
R = o o3o3x3o (inv. rap)
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Lace hyper city
in approx. ASCII-art
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x o3o3o o o3o3o
o o3o3o
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o x3o3o x x3o3o
x x3o3o o x3o3o
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o o3x3o
o o3x3o x o3x3o
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o o3o3x
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layerwise: x3o3o o3o3o (tet) || o3x3o x3o3o (alt. tetoct) || o3o3x o3x3o (dual tetoct) || o3o3o o3o3x (alt. dual tet)
top vs. bottom: [x3o o3o3o ({3}) || o3x x3o3o (dual tratet) || o3o o3x3o (oct)] (ril)
|| [o3o o3o3o (pt) || x3o x3o3o (tratet) || o3x o3x3o (dual troct) || o3o o3o3x (dual tet)] (bril)
diagonally: [o x o3o3o (line) || o o x3o3o (perp tet)] (hix)
|| [x o o3o3o (ortho line) || x x x3o3o (squatet) || x o o3x3o (ope)] (rixip)
|| [o o x3o3o (tet) || o x o3x3o (ope) || o o o3o3x (dual tet)] (dot)
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Volume
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397/6720 = 0.059077
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Surface
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359 sqrt(7)/720 = 1.319201
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Dihedral angles
(at margins)
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- at rix between bril and ril: arccos(-1/7) = 98.213211°
- at dot between bril and bril: arccos(1/7) = 81.786789°
- at hix between ril and ril: arccos(1/7) = 81.786789°
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Face vector
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56, 420, 840, 770, 392, 112, 15
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Confer
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- general polytopal classes:
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Wythoffian polyexa
segmentoexa
fundamental lace prisms
Coxeter-Elte-Gosset polytopes
- analogs:
-
birectified simplex brSn
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External
links
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Incidence matrix according to Dynkin symbol
o3o3x3o3o3o3o
. . . . . . . | 56 ♦ 15 | 15 30 | 5 30 30 | 10 30 15 | 10 15 3 | 5 3
--------------+----+-----+---------+------------+------------+----------+----
. . x . . . . | 2 | 420 | 2 4 | 1 8 6 | 4 12 4 | 6 8 1 | 4 2
--------------+----+-----+---------+------------+------------+----------+----
. o3x . . . . | 3 | 3 | 280 * | 1 4 0 | 4 6 0 | 6 4 0 | 4 1
. . x3o . . . | 3 | 3 | * 560 | 0 2 3 | 1 6 3 | 3 6 1 | 3 2
--------------+----+-----+---------+------------+------------+----------+----
o3o3x . . . . ♦ 4 | 6 | 4 0 | 70 * * ♦ 4 0 0 | 6 0 0 | 4 0
. o3x3o . . . ♦ 6 | 12 | 4 4 | * 280 * | 1 3 0 | 3 3 0 | 3 1
. . x3o3o . . ♦ 4 | 6 | 0 4 | * * 420 | 0 2 2 | 1 4 1 | 2 2
--------------+----+-----+---------+------------+------------+----------+----
o3o3x3o . . . ♦ 10 | 30 | 20 10 | 5 5 0 | 56 * * | 3 0 0 | 3 0
. o3x3o3o . . ♦ 10 | 30 | 10 20 | 0 5 5 | * 168 * | 1 2 0 | 2 1
. . x3o3o3o . ♦ 5 | 10 | 0 10 | 0 0 5 | * * 168 | 0 2 1 | 1 2
--------------+----+-----+---------+------------+------------+----------+----
o3o3x3o3o . . ♦ 20 | 90 | 60 60 | 15 30 15 | 6 6 0 | 28 * * | 2 0
. o3x3o3o3o . ♦ 15 | 60 | 20 60 | 0 15 30 | 0 6 6 | * 56 * | 1 1
. . x3o3o3o3o ♦ 6 | 15 | 0 20 | 0 0 15 | 0 0 6 | * * 28 | 0 2
--------------+----+-----+---------+------------+------------+----------+----
o3o3x3o3o3o . ♦ 35 | 210 | 140 210 | 35 105 105 | 21 42 21 | 7 7 0 | 8 *
. o3x3o3o3o3o ♦ 21 | 105 | 35 140 | 0 35 105 | 0 21 42 | 0 7 7 | * 8
oo3xo3ox3oo3oo3oo&#x → height = 2/sqrt(7) = 0.755929
(ril || bril)
o.3o.3o.3o.3o.3o. | 21 * ♦ 10 5 0 | 5 20 10 10 0 0 | 10 20 5 20 10 0 0 0 | 10 10 10 20 5 0 0 0 | 5 2 10 10 1 0 0 | 1 5 2 0
.o3.o3.o3.o3.o3.o | * 35 ♦ 0 3 12 | 0 0 3 12 12 18 | 0 0 1 12 18 4 18 12 | 0 0 4 18 12 6 12 3 | 0 0 6 12 3 4 3 | 0 4 3 1
---------------------+-------+-------------+------------------------+------------------------------+---------------------------+------------------+--------
.. x. .. .. .. .. | 2 0 | 105 * * | 1 4 1 0 0 0 | 4 6 1 4 0 0 0 0 | 6 4 4 6 0 0 0 0 | 4 1 6 4 0 0 0 | 1 4 1 0
oo3oo3oo3oo3oo3oo&#x | 1 1 | * 105 * | 0 0 2 4 0 0 | 0 0 1 8 6 0 0 0 | 0 0 4 12 4 0 0 0 | 0 0 6 8 1 0 0 | 0 4 2 0
.. .. .x .. .. .. | 0 2 | * * 210 | 0 0 0 1 2 3 | 0 0 0 2 3 1 6 3 | 0 0 1 6 3 3 6 1 | 0 0 3 6 1 3 2 | 0 3 2 1
---------------------+-------+-------------+------------------------+------------------------------+---------------------------+------------------+--------
o.3x. .. .. .. .. | 3 0 | 3 0 0 | 35 * * * * * | 4 0 1 0 0 0 0 0 | 6 0 4 0 0 0 0 0 | 4 0 6 0 0 0 0 | 1 4 0 0
.. x.3o. .. .. .. | 3 0 | 3 0 0 | * 140 * * * * | 1 3 0 1 0 0 0 0 | 3 3 1 3 0 0 0 0 | 3 1 3 3 0 0 0 | 1 3 1 0
.. xo .. .. .. ..&#x | 2 1 | 1 2 0 | * * 105 * * * | 0 0 1 4 0 0 0 0 | 0 0 4 6 0 0 0 0 | 0 0 6 4 0 0 0 | 0 4 1 0
.. .. ox .. .. ..&#x | 1 2 | 0 2 1 | * * * 210 * * | 0 0 0 2 3 0 0 0 | 0 0 1 6 3 0 0 0 | 0 0 3 6 1 0 0 | 0 3 2 0
.. .o3.x .. .. .. | 0 3 | 0 0 3 | * * * * 140 * | 0 0 0 1 0 1 3 0 | 0 0 1 3 0 3 3 0 | 0 0 3 3 0 3 1 | 0 3 1 1
.. .. .x3.o .. .. | 0 3 | 0 0 3 | * * * * * 210 | 0 0 0 0 1 0 2 2 | 0 0 0 2 2 1 4 1 | 0 0 1 4 1 2 2 | 0 2 2 1
---------------------+-------+-------------+------------------------+------------------------------+---------------------------+------------------+--------
o.3x.3o. .. .. .. ♦ 6 0 | 12 0 0 | 4 4 0 0 0 0 | 35 * * * * * * * | 3 0 1 0 0 0 0 0 | 3 0 3 0 0 0 0 | 1 3 0 0
.. x.3o.3o. .. .. ♦ 4 0 | 6 0 0 | 0 4 0 0 0 0 | * 105 * * * * * * | 1 2 0 1 0 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0
oo3xo .. .. .. ..&#x ♦ 3 1 | 3 3 0 | 1 0 3 0 0 0 | * * 35 * * * * * ♦ 0 0 4 0 0 0 0 0 | 0 0 6 0 0 0 0 | 0 4 0 0
.. xo3ox .. .. ..&#x ♦ 3 3 | 3 6 3 | 0 1 3 3 1 0 | * * * 140 * * * * | 0 0 1 3 0 0 0 0 | 0 0 3 3 0 0 0 | 0 3 1 0
.. .. ox3oo .. ..&#x ♦ 1 3 | 0 3 3 | 0 0 0 3 0 1 | * * * * 210 * * * | 0 0 0 2 2 0 0 0 | 0 0 1 4 1 0 0 | 0 2 2 0
.o3.o3.x .. .. .. ♦ 0 4 | 0 0 6 | 0 0 0 0 4 0 | * * * * * 35 * * ♦ 0 0 1 0 0 3 0 0 | 0 0 3 0 0 3 0 | 0 3 0 1
.. .o3.x3.o .. .. ♦ 0 6 | 0 0 12 | 0 0 0 0 4 4 | * * * * * * 105 * | 0 0 0 1 0 1 2 0 | 0 0 1 2 0 2 1 | 0 2 1 1
.. .. .x3.o3.o .. ♦ 0 4 | 0 0 6 | 0 0 0 0 0 4 | * * * * * * * 105 | 0 0 0 0 1 0 2 1 | 0 0 0 2 1 1 2 | 0 1 2 1
---------------------+-------+-------------+------------------------+------------------------------+---------------------------+------------------+--------
o.3x.3o.3o. .. .. ♦ 10 0 | 30 0 0 | 10 20 0 0 0 0 | 5 5 0 0 0 0 0 0 | 21 * * * * * * * | 2 0 1 0 0 0 0 | 1 2 0 0
.. x.3o.3o.3o. .. ♦ 5 0 | 10 0 0 | 0 10 0 0 0 0 | 0 5 0 0 0 0 0 0 | * 42 * * * * * * | 1 1 0 1 0 0 0 | 1 1 1 0
oo3xo3ox .. .. ..&#x ♦ 6 4 | 12 12 6 | 4 4 12 6 4 0 | 1 0 4 4 0 1 0 0 | * * 35 * * * * * | 0 0 3 0 0 0 0 | 0 3 0 0
.. xo3ox3oo .. ..&#x ♦ 4 6 | 6 12 12 | 0 4 6 12 4 4 | 0 1 0 4 4 0 1 0 | * * * 105 * * * * | 0 0 1 2 0 0 0 | 0 2 1 0
.. .. ox3oo3oo ..&#x ♦ 1 4 | 0 4 6 | 0 0 0 6 0 4 | 0 0 0 0 4 0 0 1 | * * * * 105 * * * | 0 0 0 2 1 0 0 | 0 1 2 0
.o3.o3.x3.o .. .. ♦ 0 10 | 0 0 30 | 0 0 0 0 20 10 | 0 0 0 0 0 5 5 0 | * * * * * 21 * * | 0 0 1 0 0 2 0 | 0 2 0 1
.. .o3.x3.o3.o .. ♦ 0 10 | 0 0 30 | 0 0 0 0 10 20 | 0 0 0 0 0 0 5 5 | * * * * * * 42 * | 0 0 0 1 0 1 1 | 0 1 1 1
.. .. .x3.o3.o3.o ♦ 0 5 | 0 0 10 | 0 0 0 0 0 10 | 0 0 0 0 0 0 0 5 | * * * * * * * 21 | 0 0 0 0 1 0 2 | 0 0 2 1
---------------------+-------+-------------+------------------------+------------------------------+---------------------------+------------------+--------
o.3x.3o.3o.3o. .. ♦ 15 0 | 60 0 0 | 20 60 0 0 0 0 | 15 30 0 0 0 0 0 0 | 6 6 0 0 0 0 0 0 | 7 * * * * * * | 1 1 0 0
.. x.3o.3o.3o.3o. ♦ 6 0 | 15 0 0 | 0 20 0 0 0 0 | 0 15 0 0 0 0 0 0 | 0 6 0 0 0 0 0 0 | * 7 * * * * * | 1 0 1 0
oo3xo3ox3oo .. ..&#x ♦ 10 10 | 30 30 30 | 10 20 30 30 20 10 | 5 5 10 20 10 5 5 0 | 1 0 5 5 0 1 0 0 | * * 21 * * * * | 0 2 0 0
.. xo3ox3oo3oo ..&#x ♦ 5 10 | 10 20 30 | 0 10 10 30 10 20 | 0 5 0 10 20 0 5 5 | 0 1 0 5 5 0 1 0 | * * * 42 * * * | 0 1 1 0
.. .. ox3oo3oo3oo&#x ♦ 1 5 | 0 5 10 | 0 0 0 10 0 10 | 0 0 0 0 10 0 0 5 | 0 0 0 0 5 0 0 1 | * * * * 21 * * | 0 0 2 0
.o3.o3.x3.o3.o .. ♦ 0 20 | 0 0 90 | 0 0 0 0 60 60 | 0 0 0 0 0 15 30 15 | 0 0 0 0 0 6 6 0 | * * * * * 7 * | 0 1 0 1
.. .o3.x3.o3.o3.o ♦ 0 15 | 0 0 60 | 0 0 0 0 20 60 | 0 0 0 0 0 0 15 30 | 0 0 0 0 0 0 6 6 | * * * * * * 7 | 0 0 1 1
---------------------+-------+-------------+------------------------+------------------------------+---------------------------+------------------+--------
o.3x.3o.3o.3o.3o. ♦ 21 0 | 105 0 0 | 35 140 0 0 0 0 | 35 105 0 0 0 0 0 0 | 21 42 0 0 0 0 0 0 | 7 7 0 0 0 0 0 | 1 * * *
oo3xo3ox3oo3oo ..&#x ♦ 15 20 | 60 60 90 | 20 60 60 90 60 60 | 15 30 20 60 60 15 30 15 | 6 6 15 30 15 6 6 0 | 1 0 6 6 0 1 0 | * 7 * *
.. xo3ox3oo3oo3oo&#x ♦ 6 15 | 15 30 60 | 0 20 15 60 20 60 | 0 15 0 20 60 0 15 30 | 0 6 0 15 30 0 6 6 | 0 1 0 6 6 0 1 | * * 7 *
.o3.o3.x3.o3.o3.o ♦ 0 35 | 0 0 210 | 0 0 0 0 140 210 | 0 0 0 0 0 35 105 105 | 0 0 0 0 0 21 42 21 | 0 0 0 0 0 7 7 | * * * 1
oxo xoo3oxo3oox3ooo3ooo&#xt → both heights = 1/sqrt(3) = 0.577350
(hix || rixip || dot)
...
oxoo3ooxo oxoo3ooxo3ooox3oooo&#xt → all heights = 2/sqrt(15) = 0.516398
(pt || trapen || gyro trarap || inv rap)
o...3o... o...3o...3o...3o... | 1 * * * ♦ 15 0 0 0 0 0 0 0 | 15 30 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5 30 30 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15 10 30 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3 15 10 0 0 0 0 0 0 0 | 3 5 0 0
.o..3.o.. .o..3.o..3.o..3.o.. | * 15 * * ♦ 1 2 4 8 0 0 0 0 | 2 4 1 6 8 4 8 12 0 0 0 0 0 0 0 0 | 1 6 8 4 4 12 4 12 8 6 0 0 0 0 0 0 0 0 0 | 4 4 12 1 8 8 2 6 6 4 0 0 0 0 0 0 | 1 8 6 2 2 4 4 1 0 0 | 2 4 1 1
..o.3..o. ..o.3..o.3..o.3..o. | * * 30 * ♦ 0 0 0 4 2 6 3 0 | 0 0 0 0 2 4 2 12 1 3 6 6 6 3 0 0 | 0 0 1 0 2 6 2 6 12 12 3 2 3 6 3 6 1 0 0 | 0 1 3 0 6 6 4 6 6 12 1 3 2 3 2 0 | 0 3 3 2 2 6 6 4 1 1 | 1 3 2 2
...o3...o ...o3...o3...o3...o | * * * 10 ♦ 0 0 0 0 0 0 9 6 | 0 0 0 0 0 0 0 0 0 0 0 9 9 18 6 3 | 0 0 0 0 0 0 0 0 0 9 0 0 3 18 3 18 9 2 3 | 0 0 0 0 0 0 0 3 3 18 0 6 9 6 9 1 | 0 0 1 0 0 6 6 9 3 3 | 0 2 3 3
----------------------------------+------------+--------------------------+-------------------------------------------------+--------------------------------------------------------+----------------------------------------------+----------------------------+--------
oo..3oo.. oo..3oo..3oo..3oo..&#x | 1 1 0 0 | 15 * * * * * * * | 2 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 6 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 4 4 12 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 8 6 0 0 0 0 0 0 0 | 2 4 0 0
.x.. .... .... .... .... .... | 0 2 0 0 | * 15 * * * * * * | 1 0 1 0 4 0 0 0 0 0 0 0 0 0 0 0 | 1 0 4 0 4 6 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 4 6 0 4 0 0 6 0 0 0 0 0 0 0 0 | 0 4 6 1 0 4 0 0 0 0 | 1 4 1 0
.... .... .x.. .... .... .... | 0 2 0 0 | * * 30 * * * * * | 0 1 0 3 0 0 2 0 0 0 0 0 0 0 0 0 | 0 3 2 3 0 0 1 6 0 0 0 0 0 0 0 0 0 0 0 | 3 1 6 1 0 6 0 0 3 0 0 0 0 0 0 0 | 1 6 3 0 2 0 3 0 0 0 | 2 3 0 1
.oo.3.oo. .oo.3.oo.3.oo.3.oo.&#x | 0 1 1 0 | * * * 120 * * * * | 0 0 0 0 1 1 1 3 0 0 0 0 0 0 0 0 | 0 0 1 0 1 3 1 3 3 3 0 0 0 0 0 0 0 0 0 | 0 1 3 0 3 3 1 3 3 3 0 0 0 0 0 0 | 0 3 3 1 1 3 3 1 0 0 | 1 3 1 1
.... ..x. .... .... .... .... | 0 0 2 0 | * * * * 30 * * * | 0 0 0 0 0 2 0 0 1 0 0 3 0 0 0 0 | 0 0 0 0 2 0 1 0 0 6 0 0 3 3 0 0 0 0 0 | 0 1 0 0 0 0 0 6 3 6 0 3 1 0 0 0 | 0 0 3 0 0 6 3 2 1 0 | 0 3 2 1
.... .... .... ..x. .... .... | 0 0 2 0 | * * * * * 90 * * | 0 0 0 0 0 0 0 2 0 1 2 0 1 0 0 0 | 0 0 0 0 0 1 0 2 4 2 2 1 0 0 1 2 0 0 0 | 0 0 1 0 2 4 2 1 2 4 1 0 0 2 1 0 | 0 2 1 1 2 2 4 2 0 1 | 1 2 1 2
..oo3..oo ..oo3..oo3..oo3..oo&#x | 0 0 1 1 | * * * * * * 90 * | 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 | 0 0 0 0 0 0 0 0 0 4 0 0 1 4 1 4 1 0 0 | 0 0 0 0 0 0 0 2 2 8 0 2 2 2 2 0 | 0 0 1 0 0 4 4 4 1 1 | 0 2 2 2
.... .... .... .... ...x .... | 0 0 0 2 | * * * * * * * 30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 3 2 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 6 3 1 2 | 0 0 0 0 0 0 0 0 0 6 0 1 3 3 6 1 | 0 0 0 0 0 2 3 6 1 3 | 0 1 2 3
----------------------------------+------------+--------------------------+-------------------------------------------------+--------------------------------------------------------+----------------------------------------------+----------------------------+--------
ox.. .... .... .... .... ....&#x | 1 2 0 0 | 2 1 0 0 0 0 0 0 | 15 * * * * * * * * * * * * * * * | 1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 4 6 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 4 6 0 0 0 0 0 0 0 | 1 4 0 0
.... .... ox.. .... .... ....&#x | 1 2 0 0 | 2 0 1 0 0 0 0 0 | * 30 * * * * * * * * * * * * * * | 0 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3 1 6 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 6 3 0 0 0 0 0 0 0 | 2 3 0 0
.x..3.o.. .... .... .... .... | 0 3 0 0 | 0 3 0 0 0 0 0 0 | * * 5 * * * * * * * * * * * * * | 1 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 4 0 0 0 0 0 6 0 0 0 0 0 0 0 0 | 0 0 6 0 0 4 0 0 0 0 | 0 4 1 0
.... .... .x..3.o.. .... .... | 0 3 0 0 | 0 0 3 0 0 0 0 0 | * * * 30 * * * * * * * * * * * * | 0 1 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 | 2 0 2 1 0 4 0 0 1 0 0 0 0 0 0 0 | 1 4 1 0 2 0 2 0 0 0 | 2 2 0 1
.xo. .... .... .... .... ....&#x | 0 2 1 0 | 0 1 0 2 0 0 0 0 | * * * * 60 * * * * * * * * * * * | 0 0 1 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 1 3 0 3 0 0 3 0 0 0 0 0 0 0 0 | 0 3 3 1 0 3 0 0 0 0 | 1 3 1 0
.... .ox. .... .... .... ....&#x | 0 1 2 0 | 0 0 0 2 1 0 0 0 | * * * * * 60 * * * * * * * * * * | 0 0 0 0 1 0 1 0 0 3 0 0 0 0 0 0 0 0 0 | 0 1 0 0 0 0 0 3 3 3 0 0 0 0 0 0 | 0 0 3 0 0 3 3 1 0 0 | 0 3 1 1
.... .... .xo. .... .... ....&#x | 0 2 1 0 | 0 0 1 2 0 0 0 0 | * * * * * * 60 * * * * * * * * * | 0 0 1 0 0 0 1 3 0 0 0 0 0 0 0 0 0 0 0 | 0 1 3 0 0 3 0 0 3 0 0 0 0 0 0 0 | 0 3 3 0 1 0 3 0 0 0 | 1 3 0 1
.... .... .... .ox. .... ....&#x | 0 1 2 0 | 0 0 0 2 0 1 0 0 | * * * * * * * 180 * * * * * * * * | 0 0 0 0 0 1 0 1 2 1 0 0 0 0 0 0 0 0 0 | 0 0 1 0 2 2 1 1 1 2 0 0 0 0 0 0 | 0 2 1 1 1 2 2 1 0 0 | 1 2 1 1
..o.3..x. .... .... .... .... | 0 0 3 0 | 0 0 0 0 3 0 0 0 | * * * * * * * * 10 * * * * * * * | 0 0 0 0 2 0 0 0 0 0 0 0 3 0 0 0 0 0 0 | 0 1 0 0 0 0 0 6 0 0 0 3 0 0 0 0 | 0 0 3 0 0 6 0 0 1 0 | 0 3 2 0
.... .... ..o.3..x. .... .... | 0 0 3 0 | 0 0 0 0 0 3 0 0 | * * * * * * * * * 30 * * * * * * | 0 0 0 0 0 0 0 2 0 0 2 0 0 0 1 0 0 0 0 | 0 0 1 0 0 4 0 0 2 0 1 0 0 2 0 0 | 0 2 1 0 2 0 4 0 0 1 | 1 2 0 2
.... .... .... ..x.3..o. .... | 0 0 3 0 | 0 0 0 0 0 3 0 0 | * * * * * * * * * * 60 * * * * * | 0 0 0 0 0 0 0 0 2 0 1 1 0 0 0 1 0 0 0 | 0 0 0 0 1 2 2 0 0 2 1 0 0 1 1 0 | 0 1 0 1 2 1 2 2 0 1 | 1 1 1 2
.... ..xo .... .... .... ....&#x | 0 0 2 1 | 0 0 0 0 1 0 2 0 | * * * * * * * * * * * 90 * * * * | 0 0 0 0 0 0 0 0 0 2 0 0 1 2 0 0 0 0 0 | 0 0 0 0 0 0 0 2 1 4 0 2 1 0 0 0 | 0 0 1 0 0 4 2 2 1 0 | 0 2 2 1
.... .... .... ..xo .... ....&#x | 0 0 2 1 | 0 0 0 0 0 1 2 0 | * * * * * * * * * * * * 90 * * * | 0 0 0 0 0 0 0 0 0 2 0 0 0 0 1 2 0 0 0 | 0 0 0 0 0 0 0 1 2 4 0 0 0 2 1 0 | 0 0 1 0 0 2 4 2 0 1 | 0 2 1 2
.... .... .... .... ..ox ....&#x | 0 0 1 2 | 0 0 0 0 0 0 2 1 | * * * * * * * * * * * * * 90 * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 0 0 | 0 0 0 0 0 0 0 0 0 4 0 1 2 1 2 0 | 0 0 0 0 0 2 2 4 1 1 | 0 1 2 2
.... .... .... ...o3...x .... | 0 0 0 3 | 0 0 0 0 0 0 0 3 | * * * * * * * * * * * * * * 20 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 1 1 | 0 0 0 0 0 0 0 0 0 3 0 0 0 3 3 1 | 0 0 0 0 0 1 3 3 0 3 | 0 1 1 3
.... .... .... .... ...x3...o | 0 0 0 3 | 0 0 0 0 0 0 0 3 | * * * * * * * * * * * * * * * 10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 2 | 0 0 0 0 0 0 0 0 0 0 0 0 3 0 6 1 | 0 0 0 0 0 0 0 6 1 3 | 0 0 2 3
----------------------------------+------------+--------------------------+-------------------------------------------------+--------------------------------------------------------+----------------------------------------------+----------------------------+--------
ox..3oo.. .... .... .... ....&#x ♦ 1 3 0 0 | 3 3 0 0 0 0 0 0 | 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5 * * * * * * * * * * * * * * * * * * ♦ 0 4 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 4 0 0
.... .... ox..3oo.. .... ....&#x ♦ 1 3 0 0 | 3 0 3 0 0 0 0 0 | 0 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | * 30 * * * * * * * * * * * * * * * * * | 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 4 1 0 0 0 0 0 0 0 | 2 2 0 0
oxo. .... oxo. .... .... ....&#xt ♦ 1 4 1 0 | 4 2 2 4 0 0 0 0 | 2 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 | * * 30 * * * * * * * * * * * * * * * * | 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 | 0 3 3 0 0 0 0 0 0 0 | 1 3 0 0
.... .... .x..3.o..3.o.. .... ♦ 0 4 0 0 | 0 0 6 0 0 0 0 0 | 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 | * * * 15 * * * * * * * * * * * * * * * | 1 0 0 1 0 2 0 0 0 0 0 0 0 0 0 0 | 1 2 0 0 2 0 1 0 0 0 | 2 1 0 1
.xo.3.ox. .... .... .... ....&#x ♦ 0 3 3 0 | 0 3 0 6 3 0 0 0 | 0 0 1 0 3 3 0 0 1 0 0 0 0 0 0 0 | * * * * 20 * * * * * * * * * * * * * * | 0 1 0 0 0 0 0 3 0 0 0 0 0 0 0 0 | 0 0 3 0 0 3 0 0 0 0 | 0 3 1 0
.xo. .... .... .ox. .... ....&#x ♦ 0 2 2 0 | 0 1 0 4 0 1 0 0 | 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 | * * * * * 90 * * * * * * * * * * * * * | 0 0 1 0 2 0 0 1 0 0 0 0 0 0 0 0 | 0 2 1 1 0 2 0 0 0 0 | 1 2 1 0
.... .ox. .xo. .... .... ....&#x ♦ 0 2 2 0 | 0 0 1 4 1 0 0 0 | 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 | * * * * * * 30 * * * * * * * * * * * * ♦ 0 1 0 0 0 0 0 0 3 0 0 0 0 0 0 0 | 0 0 3 0 0 0 3 0 0 0 | 0 3 0 1
.... .... .xo.3.ox. .... ....&#x ♦ 0 3 3 0 | 0 0 3 6 0 3 0 0 | 0 0 0 1 0 0 3 3 0 1 0 0 0 0 0 0 | * * * * * * * 60 * * * * * * * * * * * | 0 0 1 0 0 2 0 0 1 0 0 0 0 0 0 0 | 0 2 1 0 1 0 2 0 0 0 | 1 2 0 1
.... .... .... .ox.3.oo. ....&#x ♦ 0 1 3 0 | 0 0 0 3 0 3 0 0 | 0 0 0 0 0 0 0 3 0 0 1 0 0 0 0 0 | * * * * * * * * 120 * * * * * * * * * * | 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 0 | 0 1 0 1 1 1 1 1 0 0 | 1 1 1 1
.... .oxo .... .oxo .... ....&#xt ♦ 0 1 4 1 | 0 0 0 4 2 2 4 0 | 0 0 0 0 0 2 0 2 0 0 0 2 2 0 0 0 | * * * * * * * * * 90 * * * * * * * * * | 0 0 0 0 0 0 0 1 1 2 0 0 0 0 0 0 | 0 0 1 0 0 2 2 1 0 0 | 0 2 1 1
.... .... ..o.3..x.3..o. .... ♦ 0 0 6 0 | 0 0 0 0 0 12 0 0 | 0 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 | * * * * * * * * * * 15 * * * * * * * * | 0 0 0 0 0 2 0 0 0 0 1 0 0 1 0 0 | 0 1 0 0 2 0 2 0 0 1 | 1 1 0 2
.... .... .... ..x.3..o.3..o. ♦ 0 0 4 0 | 0 0 0 0 0 6 0 0 | 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 | * * * * * * * * * * * 15 * * * * * * * | 0 0 0 0 0 0 2 0 0 0 1 0 0 0 1 0 | 0 0 0 1 2 0 0 2 0 1 | 1 0 1 2
..oo3..xo .... .... .... ....&#x ♦ 0 0 3 1 | 0 0 0 0 3 0 3 0 | 0 0 0 0 0 0 0 0 1 0 0 3 0 0 0 0 | * * * * * * * * * * * * 30 * * * * * * | 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 | 0 0 1 0 0 4 0 0 1 0 | 0 2 2 0
.... ..xo .... .... ..ox ....&#x ♦ 0 0 2 2 | 0 0 0 0 1 0 4 1 | 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 | * * * * * * * * * * * * * 90 * * * * * | 0 0 0 0 0 0 0 0 0 2 0 1 1 0 0 0 | 0 0 0 0 0 2 1 2 1 0 | 0 1 2 1
.... .... ..oo3..xo .... ....&#x ♦ 0 0 3 1 | 0 0 0 0 0 3 3 0 | 0 0 0 0 0 0 0 0 0 1 0 0 3 0 0 0 | * * * * * * * * * * * * * * 30 * * * * ♦ 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 | 0 0 1 0 0 0 4 0 0 1 | 0 2 0 2
.... .... .... ..xo3..ox ....&#x ♦ 0 0 3 3 | 0 0 0 0 0 3 6 3 | 0 0 0 0 0 0 0 0 0 0 1 0 3 3 1 0 | * * * * * * * * * * * * * * * 60 * * * | 0 0 0 0 0 0 0 0 0 2 0 0 0 1 1 0 | 0 0 0 0 0 1 2 2 0 1 | 0 1 1 2
.... .... .... .... ..ox3..oo&#x ♦ 0 0 1 3 | 0 0 0 0 0 0 3 3 | 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 1 | * * * * * * * * * * * * * * * * 30 * * | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 | 0 0 0 0 0 0 0 4 1 1 | 0 0 2 2
.... .... ...o3...o3...x .... ♦ 0 0 0 4 | 0 0 0 0 0 0 0 6 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 | * * * * * * * * * * * * * * * * * 5 * ♦ 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 1 | 0 0 0 0 0 0 3 0 0 3 | 0 1 0 3
.... .... .... ...o3...x3...o ♦ 0 0 0 6 | 0 0 0 0 0 0 0 12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 | * * * * * * * * * * * * * * * * * * 5 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 1 | 0 0 0 0 0 0 0 3 0 3 | 0 0 1 3
----------------------------------+------------+--------------------------+-------------------------------------------------+--------------------------------------------------------+----------------------------------------------+----------------------------+--------
.... .... ox..3oo..3oo.. ....&#x ♦ 1 4 0 0 | 4 0 6 0 0 0 0 0 | 0 6 0 4 0 0 0 0 0 0 0 0 0 0 0 0 | 0 4 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15 * * * * * * * * * * * * * * * | 1 2 0 0 0 0 0 0 0 0 | 2 1 0 0
oxo.3oox. oxo. .... .... ....&#xt ♦ 1 6 3 0 | 6 6 3 12 3 0 0 0 | 6 3 2 0 6 6 6 0 1 0 0 0 0 0 0 0 | 2 0 3 0 2 0 3 0 0 0 0 0 0 0 0 0 0 0 0 | * 10 * * * * * * * * * * * * * * | 0 0 3 0 0 0 0 0 0 0 | 0 3 0 0
oxo. .... oxo.3oox. .... ....&#xt ♦ 1 6 3 0 | 6 3 6 12 0 3 0 0 | 3 6 0 2 6 0 6 6 0 1 0 0 0 0 0 0 | 0 2 3 0 0 3 0 2 0 0 0 0 0 0 0 0 0 0 0 | * * 30 * * * * * * * * * * * * * | 0 2 1 0 0 0 0 0 0 0 | 1 2 0 0
.... .... .x..3.o..3.o..3.o.. ♦ 0 5 0 0 | 0 0 10 0 0 0 0 0 | 0 0 0 10 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * 3 * * * * * * * * * * * * | 1 0 0 0 2 0 0 0 0 0 | 2 0 0 1
.xo. .... .... .ox.3.oo. ....&#x ♦ 0 2 3 0 | 0 1 0 6 0 3 0 0 | 0 0 0 0 3 0 0 6 0 0 1 0 0 0 0 0 | 0 0 0 0 0 3 0 0 2 0 0 0 0 0 0 0 0 0 0 | * * * * 60 * * * * * * * * * * * | 0 1 0 1 0 1 0 0 0 0 | 1 1 1 0
.... .... .xo.3.ox.3.oo. ....&#x ♦ 0 4 6 0 | 0 0 6 12 0 12 0 0 | 0 0 0 4 0 0 6 12 0 4 4 0 0 0 0 0 | 0 0 0 1 0 0 0 4 4 0 1 0 0 0 0 0 0 0 0 | * * * * * 30 * * * * * * * * * * | 0 1 0 0 1 0 1 0 0 0 | 1 1 0 1
.... .... .... .ox.3.oo.3.oo.&#x ♦ 0 1 4 0 | 0 0 0 4 0 6 0 0 | 0 0 0 0 0 0 0 6 0 0 4 0 0 0 0 0 | 0 0 0 0 0 0 0 0 4 0 0 1 0 0 0 0 0 0 0 | * * * * * * 30 * * * * * * * * * | 0 0 0 1 1 0 0 1 0 0 | 1 0 1 1
.xoo3.oxo .... .oxo .... ....&#xt ♦ 0 3 6 1 | 0 3 0 12 6 3 6 0 | 0 0 1 0 6 6 0 6 2 0 0 6 3 0 0 0 | 0 0 0 0 2 3 0 0 0 3 0 0 2 0 0 0 0 0 0 | * * * * * * * 30 * * * * * * * * | 0 0 1 0 0 2 0 0 0 0 | 0 2 1 0
.... .oxo .xoo3.oxo .... ....&#xt ♦ 0 3 6 1 | 0 0 3 12 3 6 6 0 | 0 0 0 1 0 6 6 6 0 2 0 3 6 0 0 0 | 0 0 0 0 0 0 3 2 0 3 0 0 0 0 2 0 0 0 0 | * * * * * * * * 30 * * * * * * * | 0 0 1 0 0 0 2 0 0 0 | 0 2 0 1
.... .oxo .... .oxo3.oox ....&#xt ♦ 0 1 6 3 | 0 0 0 6 3 6 12 3 | 0 0 0 0 0 3 0 6 0 0 2 6 6 6 1 0 | 0 0 0 0 0 0 0 0 2 3 0 0 0 3 0 2 0 0 0 | * * * * * * * * * 60 * * * * * * | 0 0 0 0 0 1 1 1 0 0 | 0 1 1 1
.... .... ..o.3..x.3..o.3..o. ♦ 0 0 10 0 | 0 0 0 0 0 30 0 0 | 0 0 0 0 0 0 0 0 0 10 20 0 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 5 5 0 0 0 0 0 0 0 | * * * * * * * * * * 3 * * * * * | 0 0 0 0 2 0 0 0 0 1 | 1 0 0 2
..oo3..xo .... .... ..ox ....&#x ♦ 0 0 3 2 | 0 0 0 0 3 0 6 1 | 0 0 0 0 0 0 0 0 1 0 0 6 0 3 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 2 3 0 0 0 0 0 | * * * * * * * * * * * 30 * * * * | 0 0 0 0 0 2 0 0 1 0 | 0 1 2 0
.... ..xo .... .... ..ox3..oo&#x ♦ 0 0 2 3 | 0 0 0 0 1 0 6 3 | 0 0 0 0 0 0 0 0 0 0 0 3 0 6 0 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 2 0 0 | * * * * * * * * * * * * 30 * * * | 0 0 0 0 0 0 0 2 1 0 | 0 0 2 1
.... .... ..oo3..xo3..ox ....&#x ♦ 0 0 6 4 | 0 0 0 0 0 12 12 6 | 0 0 0 0 0 0 0 0 0 4 4 0 12 6 4 0 | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 4 4 0 1 0 | * * * * * * * * * * * * * 15 * * | 0 0 0 0 0 0 2 0 0 1 | 0 1 0 2
.... .... .... ..xo3..ox3..oo&#x ♦ 0 0 4 6 | 0 0 0 0 0 6 12 12 | 0 0 0 0 0 0 0 0 0 0 4 0 6 12 4 4 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 4 4 0 1 | * * * * * * * * * * * * * * 15 * | 0 0 0 0 0 0 0 2 0 1 | 0 0 1 2
.... .... ...o3...o3...x3...o ♦ 0 0 0 10 | 0 0 0 0 0 0 0 30 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 20 10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 | * * * * * * * * * * * * * * * 1 | 0 0 0 0 0 0 0 0 0 3 | 0 0 0 3
----------------------------------+------------+--------------------------+-------------------------------------------------+--------------------------------------------------------+----------------------------------------------+----------------------------+--------
.... .... ox..3oo..3oo..3oo..&#x ♦ 1 5 0 0 | 5 0 10 0 0 0 0 0 | 0 10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 | 0 10 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 5 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | 3 * * * * * * * * * | 2 0 0 0
oxo. .... oxo.3oox.3ooo. ....&#xt ♦ 1 8 6 0 | 8 4 12 24 0 12 0 0 | 4 12 0 8 12 0 12 24 0 4 4 0 0 0 0 0 | 0 8 6 2 0 12 0 8 8 0 1 0 0 0 0 0 0 0 0 | 2 0 4 0 4 2 0 0 0 0 0 0 0 0 0 0 | * 15 * * * * * * * * | 1 1 0 0
oxoo3ooxo oxoo3ooxo .... ....&#xt ♦ 1 9 9 1 | 9 9 9 36 9 9 9 0 | 9 9 3 3 18 18 18 18 3 3 0 9 9 0 0 0 | 3 3 9 0 6 9 9 6 0 9 0 0 3 0 3 0 0 0 0 | 0 3 3 0 0 0 0 3 3 0 0 0 0 0 0 0 | * * 10 * * * * * * * | 0 2 0 0
.xo. .... .... .ox.3.oo.3.oo.&#x ♦ 0 2 4 0 | 0 1 0 8 0 6 0 0 | 0 0 0 0 4 0 0 12 0 0 4 0 0 0 0 0 | 0 0 0 0 0 6 0 0 8 0 0 1 0 0 0 0 0 0 0 | 0 0 0 0 4 0 2 0 0 0 0 0 0 0 0 0 | * * * 15 * * * * * * | 1 0 1 0
.... .... .xo.3.ox.3.oo.3.oo.&#x ♦ 0 5 10 0 | 0 0 10 20 0 30 0 0 | 0 0 0 10 0 0 10 30 0 10 20 0 0 0 0 0 | 0 0 0 5 0 0 0 10 20 0 5 5 0 0 0 0 0 0 0 | 0 0 0 1 0 5 5 0 0 0 1 0 0 0 0 0 | * * * * 6 * * * * * | 1 0 0 1
.xoo3.oxo .... .oxo3.oox ....&#xt ♦ 0 3 9 3 | 0 3 0 18 9 9 18 3 | 0 0 1 0 9 9 0 18 3 0 3 18 9 9 1 0 | 0 0 0 0 3 9 0 0 6 9 0 0 6 9 0 3 0 0 0 | 0 0 0 0 3 0 0 3 0 3 0 3 0 0 0 0 | * * * * * 20 * * * * | 0 1 1 0
.... .oxo .xoo3.oxo3.oox ....&#xt ♦ 0 4 12 4 | 0 0 6 24 6 24 24 6 | 0 0 0 4 0 12 12 24 0 8 8 12 24 12 4 0 | 0 0 0 1 0 0 6 8 8 12 2 0 0 6 8 8 0 1 0 | 0 0 0 0 0 2 0 0 4 4 0 0 0 2 0 0 | * * * * * * 15 * * * | 0 1 0 1
.... .oxo .... .oxo3.oox3.ooo&#xt ♦ 0 1 8 6 | 0 0 0 8 4 12 24 12 | 0 0 0 0 0 4 0 12 0 0 8 12 12 24 4 4 | 0 0 0 0 0 0 0 0 8 6 0 2 0 12 0 8 8 0 1 | 0 0 0 0 0 0 2 0 0 4 0 0 4 0 2 0 | * * * * * * * 15 * * | 0 0 1 1
..oo3..xo .... .... ..ox3..oo&#x ♦ 0 0 3 3 | 0 0 0 0 3 0 9 3 | 0 0 0 0 0 0 0 0 1 0 0 9 0 9 0 1 | 0 0 0 0 0 0 0 0 0 0 0 0 3 9 0 0 3 0 0 | 0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 | * * * * * * * * 10 * | 0 0 2 0
.... .... ..oo3..xo3..ox3..oo&#x ♦ 0 0 10 10 | 0 0 0 0 0 30 30 30 | 0 0 0 0 0 0 0 0 0 10 20 0 30 30 20 10 | 0 0 0 0 0 0 0 0 0 0 5 5 0 0 10 20 10 5 5 | 0 0 0 0 0 0 0 0 0 0 1 0 0 5 5 1 | * * * * * * * * * 3 | 0 0 0 2
----------------------------------+------------+--------------------------+-------------------------------------------------+--------------------------------------------------------+----------------------------------------------+----------------------------+--------
oxo. .... oxo.3oox.3ooo.3ooo.&#xt ♦ 1 10 10 0 | 10 5 20 40 0 30 0 0 | 5 20 0 20 20 0 20 60 0 10 20 0 0 0 0 0 | 0 20 10 10 0 30 0 20 40 0 5 5 0 0 0 0 0 0 0 | 10 0 10 2 20 10 10 0 0 0 1 0 0 0 0 0 | 2 5 0 5 2 0 0 0 0 0 | 3 * * *
oxoo3ooxo oxoo3ooxo3ooox ....&#xt ♦ 1 12 18 4 | 12 12 18 72 18 36 36 6 | 12 18 4 12 36 36 36 72 6 12 12 36 36 18 4 0 | 4 12 18 3 12 36 18 24 24 36 3 0 12 18 12 12 0 1 0 | 3 6 12 0 12 6 0 12 12 12 0 6 0 3 0 0 | 0 3 4 0 0 4 3 0 0 0 | * 5 * *
.xoo3.oxo .... .oxo3.oox3.ooo&#xt ♦ 0 3 12 6 | 0 3 0 24 12 18 36 12 | 0 0 1 0 12 12 0 36 4 0 12 36 18 36 4 4 | 0 0 0 0 4 18 0 0 24 18 0 3 12 36 0 12 12 0 1 | 0 0 0 0 12 0 6 6 0 12 0 12 12 0 3 0 | 0 0 0 3 0 4 0 3 4 0 | * * 5 *
.... .oxo .xoo3.oxo3.oox3.ooo&#xt ♦ 0 5 20 10 | 0 0 10 40 10 60 60 30 | 0 0 0 10 0 20 20 60 0 20 40 30 60 60 20 10 | 0 0 0 5 0 0 10 20 40 30 10 10 0 30 20 40 20 5 5 | 0 0 0 1 0 10 10 0 10 20 2 0 10 10 10 1 | 0 0 0 0 2 0 5 5 0 2 | * * * 3
xooo3oxoo3ooxo oxoo3ooxo3ooox&#xt → all heights = 1/2 = 0.5
(tet || alt. tetoct || dual tetoct || alt. dual tet)
o...3o...3o... o...3o...3o... & | 8 * ♦ 3 12 0 0 0 | 3 12 12 18 0 0 0 0 0 | 1 12 24 4 24 12 0 0 0 0 0 0 | 4 12 3 18 6 12 0 0 | 3 6 12 3 4 0 | 5 3
.o..3.o..3.o.. .o..3.o..3.o.. & | * 48 ♦ 0 2 4 3 6 | 0 1 4 6 2 2 3 18 9 | 0 2 3 2 15 6 1 1 8 12 12 3 | 1 3 2 7 9 18 5 10 | 1 4 8 7 6 2 | 5 3
------------------------------------+------+-----------------+------------------------------+-------------------------------------+------------------------+-------------------+----
x... .... .... .... .... .... & | 2 0 | 12 * * * * | 2 4 0 0 0 0 0 0 0 | 1 8 6 0 0 0 0 0 0 0 0 0 | 4 4 0 12 0 0 0 0 | 1 6 8 0 0 0 | 4 2
oo..3oo..3oo.. oo..3oo..3oo..&#x & | 1 1 | * 96 * * * | 0 1 2 3 0 0 0 0 0 | 0 2 3 1 6 3 0 0 0 0 0 0 | 1 3 1 6 3 6 0 0 | 1 3 6 2 3 0 | 4 2
.... .x.. .... .... .... .... & | 0 2 | * * 96 * * | 0 0 1 0 1 1 0 3 0 | 0 1 0 1 3 0 1 0 3 3 3 0 | 1 0 0 3 3 6 3 4 | 0 3 4 4 3 1 | 4 2
.... .... .... .x.. .... .... & | 0 2 | * * * 72 * | 0 0 0 2 0 0 2 0 2 | 0 0 1 0 4 4 0 1 0 4 0 1 | 0 2 2 2 4 8 2 0 | 1 2 4 4 4 0 | 4 2
.oo.3.oo.3.oo. .oo.3.oo.3.oo.&#x | 0 2 | * * * * 144 | 0 0 0 0 0 0 0 4 2 | 0 0 0 0 4 0 0 0 2 4 4 1 | 0 0 0 2 4 8 2 4 | 0 2 4 4 4 1 | 4 2
------------------------------------+------+-----------------+------------------------------+-------------------------------------+------------------------+-------------------+----
x...3o... .... .... .... .... & | 3 0 | 3 0 0 0 0 | 8 * * * * * * * * | 1 4 0 0 0 0 0 0 0 0 0 0 | 4 0 0 6 0 0 0 0 | 0 6 4 0 0 0 | 4 1
xo.. .... .... .... .... ....&#x & | 2 1 | 1 2 0 0 0 | * 48 * * * * * * * | 0 2 3 0 0 0 0 0 0 0 0 0 | 1 3 0 6 0 0 0 0 | 1 3 6 0 0 0 | 3 2
.... ox.. .... .... .... ....&#x & | 1 2 | 0 2 1 0 0 | * * 96 * * * * * * | 0 1 0 1 3 0 0 0 0 0 0 0 | 1 0 0 3 3 3 0 0 | 0 3 3 1 3 0 | 4 1
.... .... .... ox.. .... ....&#x & | 1 2 | 0 2 0 1 0 | * * * 144 * * * * * | 0 0 1 0 2 2 0 0 0 0 0 0 | 0 2 1 2 1 4 0 0 | 1 1 4 2 2 0 | 3 2
.o..3.x.. .... .... .... .... & | 0 3 | 0 0 3 0 0 | * * * * 32 * * * * | 0 1 0 0 0 0 1 0 3 0 0 0 | 1 0 0 3 0 0 3 3 | 0 3 3 3 0 1 | 3 2
.... .x..3.o.. .... .... .... & | 0 3 | 0 0 3 0 0 | * * * * * 32 * * * | 0 0 0 1 0 0 1 0 0 3 0 0 | 1 0 0 0 3 3 3 0 | 0 3 1 3 3 0 | 4 1
.... .... .... .x..3.o.. .... & | 0 3 | 0 0 0 3 0 | * * * * * * 48 * * | 0 0 0 0 0 2 0 1 0 2 0 0 | 0 1 2 0 1 4 2 0 | 1 1 2 4 2 0 | 3 2
.... .xo. .... .... .... ....&#x & | 0 3 | 0 0 1 0 2 | * * * * * * * 288 * | 0 0 0 0 1 0 0 0 1 1 2 0 | 0 0 0 1 1 4 1 3 | 0 1 3 3 2 1 | 3 2
.... .... .ox. .... .... ....&#x & | 0 3 | 0 0 0 1 2 | * * * * * * * * 144 | 0 0 0 0 2 0 0 0 0 2 0 1 | 0 0 0 1 4 4 1 0 | 0 2 2 2 4 0 | 4 1
------------------------------------+------+-----------------+------------------------------+-------------------------------------+------------------------+-------------------+----
x...3o...3o... .... .... .... & ♦ 4 0 | 6 0 0 0 0 | 4 0 0 0 0 0 0 0 0 | 2 * * * * * * * * * * * ♦ 4 0 0 0 0 0 0 0 | 0 6 0 0 0 0 | 4 0
xo..3ox.. .... .... .... ....&#x & ♦ 3 3 | 3 6 3 0 0 | 1 3 3 0 1 0 0 0 0 | * 32 * * * * * * * * * * | 1 0 0 3 0 0 0 0 | 0 3 3 0 0 0 | 3 1
xo.. .... .... ox.. .... ....&#x & ♦ 2 2 | 1 4 0 1 0 | 0 2 0 2 0 0 0 0 0 | * * 72 * * * * * * * * * | 0 2 0 2 0 0 0 0 | 1 1 4 0 0 0 | 2 2
.... ox..3oo.. .... .... ....&#x & ♦ 1 3 | 0 3 3 0 0 | 0 0 3 0 0 1 0 0 0 | * * * 32 * * * * * * * * ♦ 1 0 0 0 3 0 0 0 | 0 3 0 0 3 0 | 4 0
.... oxo. .... oxo. .... ....&#xt & ♦ 1 5 | 0 4 2 2 4 | 0 0 2 2 0 0 0 2 2 | * * * * 144 * * * * * * * | 0 0 0 1 1 2 0 0 | 0 1 2 1 2 0 | 3 1
.... .... .... ox..3oo.. ....&#x & ♦ 1 3 | 0 3 0 3 0 | 0 0 0 3 0 0 1 0 0 | * * * * * 96 * * * * * * | 0 1 1 0 0 2 0 0 | 1 0 2 2 1 0 | 2 2
.o..3.x..3.o.. .... .... .... & ♦ 0 6 | 0 0 12 0 0 | 0 0 0 0 4 4 0 0 0 | * * * * * * 8 * * * * * | 1 0 0 0 0 0 3 0 | 0 3 0 3 0 0 | 3 1
.... .... .... .x..3.o..3.o.. & ♦ 0 4 | 0 0 0 6 0 | 0 0 0 0 0 0 4 0 0 | * * * * * * * 12 * * * * | 0 0 2 0 0 0 2 0 | 1 1 0 4 0 0 | 2 2
.oo.3.xo. .... .... .... ....&#x & ♦ 0 4 | 0 0 3 0 3 | 0 0 0 0 1 0 0 3 0 | * * * * * * * * 96 * * * | 0 0 0 1 0 0 1 2 | 0 1 2 2 0 1 | 2 2
.... .xo.3.ox. .... .... ....&#x & ♦ 0 6 | 0 0 3 3 6 | 0 0 0 0 0 1 1 3 3 | * * * * * * * * * 96 * * | 0 0 0 0 1 2 1 0 | 0 1 1 2 2 0 | 3 1
.... .xo. .... .... .ox. ....&#x ♦ 0 4 | 0 0 2 0 4 | 0 0 0 0 0 0 0 4 0 | * * * * * * * * * * 144 * | 0 0 0 0 0 2 0 2 | 0 0 2 2 1 1 | 2 2
.... .... .ox. .xo. .... ....&#x ♦ 0 4 | 0 0 0 2 4 | 0 0 0 0 0 0 0 0 4 | * * * * * * * * * * * 36 ♦ 0 0 0 0 4 0 0 0 | 0 2 0 0 4 0 | 4 0
------------------------------------+------+-----------------+------------------------------+-------------------------------------+------------------------+-------------------+----
xo..3ox..3oo.. .... .... ....&#x & ♦ 4 6 | 6 12 12 0 0 | 4 6 12 0 4 4 0 0 0 | 1 4 0 4 0 0 1 0 0 0 0 0 | 8 * * * * * * * | 0 3 0 0 0 0 | 3 0
xo.. .... .... ox..3oo.. ....&#x & ♦ 2 3 | 1 6 0 3 0 | 0 3 0 6 0 0 1 0 0 | 0 0 3 0 0 2 0 0 0 0 0 0 | * 48 * * * * * * | 1 0 2 0 0 0 | 1 2
.... .... .... ox..3oo..3oo..&#x & ♦ 1 4 | 0 4 0 6 0 | 0 0 0 6 0 0 4 0 0 | 0 0 0 0 0 4 0 1 0 0 0 0 | * * 24 * * * * * | 1 0 0 2 0 0 | 1 2
xoo.3oxo. .... oxo. .... ....&#xt & ♦ 3 7 | 3 12 6 3 6 | 1 6 6 6 2 0 0 6 3 | 0 2 3 0 3 0 0 0 2 0 0 0 | * * * 48 * * * * | 0 1 2 0 0 0 | 2 1
.... oxo.3oox. oxo. .... ....&#xt & ♦ 1 9 | 0 6 6 6 12 | 0 0 6 3 0 2 1 6 12 | 0 0 0 2 3 0 0 0 0 2 0 3 | * * * * 48 * * * | 0 1 0 0 2 0 | 3 0
.... oxo. .... oxo.3oox. ....&#xt & ♦ 1 9 | 0 6 6 6 12 | 0 0 3 6 0 1 2 12 6 | 0 0 0 0 3 2 0 0 0 2 3 0 | * * * * * 96 * * | 0 0 1 1 1 0 | 2 1
.oo.3.xo.3.ox. .... .... ....&#x & ♦ 0 10 | 0 0 12 6 12 | 0 0 0 0 4 4 4 12 6 | 0 0 0 0 0 0 1 1 4 4 0 0 | * * * * * * 24 * | 0 1 0 2 0 0 | 2 1
.oo.3.xo. .... .... .ox. ....&#x & ♦ 0 5 | 0 0 4 0 6 | 0 0 0 0 1 0 0 9 0 | 0 0 0 0 0 0 0 0 2 0 3 0 | * * * * * * * 96 | 0 0 1 1 0 1 | 1 2
------------------------------------+------+-----------------+------------------------------+-------------------------------------+------------------------+-------------------+----
xo.. .... .... ox..3oo..3oo..&#x & ♦ 2 4 | 1 8 0 6 0 | 0 4 0 12 0 0 4 0 0 | 0 0 6 0 0 8 0 1 0 0 0 0 | 0 4 2 0 0 0 0 0 | 12 * * * * * | 2 0
xoo.3oxo.3oox. oxo. .... ....&#xt & ♦ 4 16 | 6 24 24 12 24 | 4 12 24 12 8 8 4 24 24 | 1 8 6 8 12 0 2 1 8 8 0 6 | 2 0 0 4 4 0 2 0 | * 12 * * * * | 2 0
xoo.3oxo. .... oxo.3oox. ....&#xt & ♦ 3 12 | 3 18 12 9 18 | 1 9 9 18 3 1 3 27 9 | 0 3 9 0 9 6 0 0 6 3 9 0 | 0 3 0 3 0 3 0 3 | * * 32 * * * | 1 1
.... oxo. .... oxo.3oox.3ooo.&#xt & ♦ 1 14 | 0 8 16 12 24 | 0 0 4 12 4 4 8 36 12 | 0 0 0 0 6 8 1 2 8 8 12 0 | 0 0 2 0 0 4 2 4 | * * * 24 * * | 1 1
.... oxoo3ooxo oxoo3ooxo ....&#xt ♦ 2 18 | 0 18 18 18 36 | 0 0 18 18 0 6 6 36 36 | 0 0 0 6 18 6 0 0 0 12 9 9 | 0 0 0 0 6 6 0 0 | * * * * 16 * | 2 0
.oo.3.xo. .... .... .ox.3.oo.&#x ♦ 0 6 | 0 0 6 0 9 | 0 0 0 0 2 0 0 18 0 | 0 0 0 0 0 0 0 0 6 0 9 0 | 0 0 0 0 0 0 0 6 | * * * * * 16 | 0 2
------------------------------------+------+-----------------+------------------------------+-------------------------------------+------------------------+-------------------+----
xooo3oxoo3ooxo oxoo3ooxo ....&#xt & ♦ 5 30 | 6 48 48 36 72 | 4 18 48 54 12 16 18 108 72 | 1 12 18 36 54 24 3 3 24 36 36 18 | 3 6 3 12 18 24 6 12 | 0 3 4 3 4 0 | 8 *
xoo.3oxo. .... oxo.3oox.3ooo.&#xt & ♦ 3 18 | 3 24 24 18 36 | 1 12 12 36 8 4 12 72 18 | 0 4 18 0 18 24 1 3 24 12 36 0 | 0 12 6 6 0 12 3 24 | 3 0 4 3 0 4 | * 8