|
Acronym
|
ril (old: riss)
|
|
Name
|
rectified heptapeton,
vertex figure of hesa,
Gosset polytope 04,1
|
|
Circumradius
|
sqrt(5/7) = 0.845154
|
Inradius
wrt. hix
|
5/sqrt(84) = 0.545545
|
Inradius
wrt. rix
|
1/sqrt(21) = 0.218218
|
Lace city
in approx. ASCII-art
|
_+------------------ o o3o3o3o (pt)
_/ _+---------- x x3o3o3o (penp)
_/ _/ _+-- o o3x3o3o (rap)
/ / /
o3o3o3o x3o3o3o -- x3o3o3o3o (hix)
x3o3o3o o3x3o3o -- o3x3o3o3o (rix)
|
_+-------------------- x3o o3o3o ({3})
_/ _+----------- o3x x3o3o ({3}-dual tratet)
_/ _/ _+-- o3o o3x3o (perp oct)
/ / /
x o3o3o o x3o3o -- x3o3o3o3o (hix)
o o3o3o x x3o3o o o3x3o -- o3x3o3o3o (rix)
\ \ \
\ \ +-- o o3x3o3o (rap)
\ +------------ x x3o3o3o (penp)
+---------------------- o o3o3o3o (pt)
|
(A,0) (0,V) -- x3o3o3o3o (hix)
(V,0) (A,V) (0,A) -- o3x3o3o3o (rix)
\ \ \
\ \ +-- o3o o3x3o (oct)
\ +----------- x3o o3o3x (tratet)
+-------------------- o3x o3o3o (perp-dual {3})
where:
A = x3o
V = o3x
0 = o3o
|
Lace hyper city
in approx. ASCII-art
|
 ©
|
o3x3o
oct
|
x3o3o
x3o3o
x3o3o
tratet
|
o3o3o
o3o3o
o3o3o
perp-dual {3}
|
or
|
x3o
x3o o3o layer of hix
|
o3o
o3o
o3o
o3o o3x layer of hix
|
|
o3x
o3x o3o layer of rix
|
x3o
x3o
x3o
x3o o3x layer of rix
|
o3o
o3o
o3o
o3o x3o layer of rix
|
|
|
|
Volume
|
19 sqrt(7)/1920 = 0.026182
|
|
Surface
|
63 sqrt(3)/160 = 0.681995
|
Dihedral angles
(at margins)
|
- at pen between hix and rix: arccos(-1/6) = 99.594068°
- at rap between rix and rix: arccos(1/6) = 80.405932°
|
|
Face vector
|
21, 105, 175, 140, 63, 14
|
|
Confer
|
- related segmentopeta:
-
penppy
rapa penp
trial tratet
octa tratet
pedril
tidril
- ambification:
-
sril
- ambification pre-image:
-
hop
- general polytopal classes:
-
Wythoffian polypeta
segmentopeta
fundamental lace prisms
lace simplices
Coxeter-Elte-Gosset polytopes
- analogs:
-
rectified simplex rSn
|
External
links
|
|
This polypeton also can be obtained as 7-2-3 step prism.
Whereat an n-p-q step prism is obtained from the n-trioprism using simultanuously its k-th vertex on the first n-gon,
the pk-th vertex on the next orthogonal n-gon and the qk-th vertex on the final orthogonal n-gon:
i.e. using the convex hull of those n points when k=1,...,n.
Incidence matrix according to Dynkin symbol
o3x3o3o3o3o
. . . . . . | 21 ♦ 10 | 5 20 | 10 20 | 10 10 | 5 2
------------+----+-----+--------+--------+-------+----
. x . . . . | 2 | 105 | 1 4 | 4 6 | 6 4 | 4 1
------------+----+-----+--------+--------+-------+----
o3x . . . . | 3 | 3 | 35 * ♦ 4 0 | 6 0 | 4 0
. x3o . . . | 3 | 3 | * 140 | 1 3 | 3 3 | 3 1
------------+----+-----+--------+--------+-------+----
o3x3o . . . ♦ 6 | 12 | 4 4 | 35 * | 3 0 | 3 0
. x3o3o . . ♦ 4 | 6 | 0 4 | * 105 | 1 2 | 2 1
------------+----+-----+--------+--------+-------+----
o3x3o3o . . ♦ 10 | 30 | 10 20 | 5 5 | 21 * | 2 0
. x3o3o3o . ♦ 5 | 10 | 0 10 | 0 5 | * 42 | 1 1
------------+----+-----+--------+--------+-------+----
o3x3o3o3o . ♦ 15 | 60 | 20 60 | 15 30 | 6 6 | 7 *
. x3o3o3o3o ♦ 6 | 15 | 0 20 | 0 15 | 0 6 | * 7
xo3ox3oo3oo3oo&#x → height = sqrt(7/12) = 0.763763
(hix || rix)
o.3o.3o.3o.3o. | 6 * ♦ 5 5 0 | 10 5 10 0 0 | 10 10 10 0 0 | 5 10 5 0 0 | 1 5 1 0
.o3.o3.o3.o3.o | * 15 ♦ 0 2 8 | 0 1 8 4 12 | 0 4 12 6 8 | 0 6 8 4 2 | 0 4 2 1
------------------+------+----------+----------------+----------------+-------------+--------
x. .. .. .. .. | 2 0 | 15 * * | 4 1 0 0 0 | 6 4 0 0 0 | 4 6 0 0 0 | 1 4 0 0
oo3oo3oo3oo3oo&#x | 1 1 | * 30 * | 0 1 4 0 0 | 0 4 6 0 0 | 0 6 4 0 0 | 0 4 1 0
.. .x .. .. .. | 0 2 | * * 60 | 0 0 1 1 3 | 0 1 3 3 3 | 0 3 3 3 1 | 0 3 1 1
------------------+------+----------+----------------+----------------+-------------+--------
x.3o. .. .. .. | 3 0 | 3 0 0 | 20 * * * * | 3 1 0 0 0 | 3 3 0 0 0 | 1 3 0 0
xo .. .. .. ..&#x | 2 1 | 1 2 0 | * 15 * * * ♦ 0 4 0 0 0 | 0 6 0 0 0 | 0 4 0 0
.. ox .. .. ..&#x | 1 2 | 0 2 1 | * * 60 * * | 0 1 3 0 0 | 0 3 3 0 0 | 0 3 1 0
.o3.x .. .. .. | 0 3 | 0 0 3 | * * * 20 * ♦ 0 1 0 3 0 | 0 3 0 3 0 | 0 3 0 1
.. .x3.o .. .. | 0 3 | 0 0 3 | * * * * 60 | 0 0 1 1 2 | 0 1 2 2 1 | 0 2 1 1
------------------+------+----------+----------------+----------------+-------------+--------
x.3o.3o. .. .. ♦ 4 0 | 6 0 0 | 4 0 0 0 0 | 15 * * * * | 2 1 0 0 0 | 1 2 0 0
xo3ox .. .. ..&#x ♦ 3 3 | 3 6 3 | 1 3 3 1 0 | * 20 * * * | 0 3 0 0 0 | 0 3 0 0
.. ox3oo .. ..&#x ♦ 1 3 | 0 3 3 | 0 0 3 0 1 | * * 60 * * | 0 1 2 0 0 | 0 2 1 0
.o3.x3.o .. .. ♦ 0 6 | 0 0 12 | 0 0 0 4 4 | * * * 15 * | 0 1 0 2 0 | 0 2 0 1
.. .x3.o3.o .. ♦ 0 4 | 0 0 6 | 0 0 0 0 4 | * * * * 30 | 0 0 1 1 1 | 0 1 1 1
------------------+------+----------+----------------+----------------+-------------+--------
x.3o.3o.3o. .. ♦ 5 0 | 10 0 0 | 10 0 0 0 0 | 5 0 0 0 0 | 6 * * * * | 1 1 0 0
xo3ox3oo .. ..&#x ♦ 4 6 | 6 12 12 | 4 6 12 4 4 | 1 4 4 1 0 | * 15 * * * | 0 2 0 0
.. ox3oo3oo ..&#x ♦ 1 4 | 0 4 6 | 0 0 6 0 4 | 0 0 4 0 1 | * * 30 * * | 0 1 1 0
.o3.x3.o3.o .. ♦ 0 10 | 0 0 30 | 0 0 0 10 20 | 0 0 0 5 5 | * * * 6 * | 0 1 0 1
.. .x3.o3.o3.o ♦ 0 5 | 0 0 10 | 0 0 0 0 10 | 0 0 0 0 5 | * * * * 6 | 0 0 1 1
------------------+------+----------+----------------+----------------+-------------+--------
x.3o.3o.3o.3o. ♦ 6 0 | 15 0 0 | 20 0 0 0 0 | 15 0 0 0 0 | 6 0 0 0 0 | 1 * * *
xo3ox3oo3oo ..&#x ♦ 5 10 | 10 20 30 | 10 10 30 10 20 | 5 10 20 5 5 | 1 5 5 1 0 | * 6 * *
.. ox3oo3oo3oo&#x ♦ 1 5 | 0 5 10 | 0 0 10 0 10 | 0 0 10 0 5 | 0 0 5 0 1 | * * 6 *
.o3.x3.o3.o3.o ♦ 0 15 | 0 0 60 | 0 0 0 20 60 | 0 0 0 15 30 | 0 0 0 6 6 | * * * 1
oxo3oox3ooo3ooo oxo&#xt → both heights = sqrt(7/20) = 0.591608
(pt || pseudo penp || rap)
o..3o..3o..3o.. o.. | 1 * * ♦ 10 0 0 0 0 | 20 5 0 0 0 0 0 0 | 20 10 0 0 0 0 0 0 | 10 10 0 0 0 0 0 | 2 5 0 0
.o.3.o.3.o.3.o. .o. | * 10 * ♦ 1 4 1 4 0 | 4 1 6 4 6 4 0 0 | 6 4 4 6 4 6 0 0 | 4 6 1 4 1 4 0 | 1 4 1 1
..o3..o3..o3..o ..o | * * 10 ♦ 0 0 0 4 6 | 0 0 0 2 12 2 3 6 | 0 1 0 6 12 6 3 2 | 0 3 0 6 4 6 1 | 0 3 2 2
------------------------+---------+---------------+------------------------+-----------------------+--------------------+--------
oo.3oo.3oo.3oo. oo.&#x | 1 1 0 | 10 * * * * | 4 1 0 0 0 0 0 0 | 6 4 0 0 0 0 0 0 | 4 6 0 0 0 0 0 | 1 4 0 0
.x. ... ... ... ... | 0 2 0 | * 20 * * * | 1 0 3 1 0 0 0 0 | 3 1 3 3 0 0 0 0 | 3 3 1 3 0 0 0 | 1 3 1 0
... ... ... ... .x. | 0 2 0 | * * 5 * * | 0 1 0 0 0 4 0 0 | 0 4 0 0 0 6 0 0 | 0 6 0 0 0 4 0 | 0 4 0 1
.oo3.oo3.oo3.oo .oo&#x | 0 1 1 | * * * 40 * | 0 0 0 1 3 1 0 0 | 0 1 0 3 3 3 0 0 | 0 3 0 3 1 3 0 | 0 3 1 1
... ..x ... ... ... | 0 0 2 | * * * * 30 | 0 0 0 0 2 0 1 2 | 0 0 0 2 4 1 2 1 | 0 1 0 4 2 2 1 | 0 2 2 1
------------------------+---------+---------------+------------------------+-----------------------+--------------------+--------
ox. ... ... ... ...&#x | 1 2 0 | 2 1 0 0 0 | 20 * * * * * * * | 3 1 0 0 0 0 0 0 | 3 3 0 0 0 0 0 | 1 3 0 0
... ... ... ... ox.&#x | 1 2 0 | 2 0 1 0 0 | * 5 * * * * * * ♦ 0 4 0 0 0 0 0 0 | 0 6 0 0 0 0 0 | 0 4 0 0
.x.3.o. ... ... ... | 0 3 0 | 0 3 0 0 0 | * * 20 * * * * * | 1 0 2 1 0 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0
.xo ... ... ... ...&#x | 0 2 1 | 0 1 0 2 0 | * * * 20 * * * * ♦ 0 1 0 3 0 0 0 0 | 0 3 0 3 0 0 0 | 0 3 1 0
... .ox ... ... ...&#x | 0 1 2 | 0 0 0 2 1 | * * * * 60 * * * | 0 0 0 1 2 1 0 0 | 0 1 0 2 1 2 0 | 0 2 1 1
... ... ... ... .xo&#x | 0 2 1 | 0 0 1 2 0 | * * * * * 20 * * | 0 1 0 0 0 3 0 0 | 0 3 0 0 0 3 0 | 0 3 0 1
..o3..x ... ... ... | 0 0 3 | 0 0 0 0 3 | * * * * * * 10 * ♦ 0 0 0 2 0 0 2 0 | 0 1 0 4 0 0 1 | 0 2 2 0
... ..x3..o ... ... | 0 0 3 | 0 0 0 0 3 | * * * * * * * 20 | 0 0 0 0 2 0 1 1 | 0 0 0 2 2 1 1 | 0 1 2 1
------------------------+---------+---------------+------------------------+-----------------------+--------------------+--------
ox.3oo. ... ... ...&#x ♦ 1 3 0 | 3 3 0 0 0 | 3 0 1 0 0 0 0 0 | 20 * * * * * * * | 2 1 0 0 0 0 0 | 1 2 0 0
oxo ... ... ... oxo&#x ♦ 1 4 1 | 4 2 2 4 0 | 2 2 0 2 0 2 0 0 | * 10 * * * * * * | 0 3 0 0 0 0 0 | 0 3 0 0
.x.3.o.3.o. ... ... ♦ 0 4 0 | 0 6 0 0 0 | 0 0 4 0 0 0 0 0 | * * 10 * * * * * | 1 0 1 1 0 0 0 | 1 1 1 0
.xo3.ox ... ... ...&#x ♦ 0 3 3 | 0 3 0 6 3 | 0 0 1 3 3 0 1 0 | * * * 20 * * * * | 0 1 0 2 0 0 0 | 0 2 1 0
... .ox3.oo ... ...&#x ♦ 0 1 3 | 0 0 0 3 3 | 0 0 0 0 3 0 0 1 | * * * * 40 * * * | 0 0 0 1 1 1 0 | 0 1 1 1
... .ox ... ... .xo&#x ♦ 0 2 2 | 0 0 1 4 1 | 0 0 0 0 2 2 0 0 | * * * * * 30 * * | 0 1 0 0 0 2 0 | 0 2 0 1
..o3..x3..o ... ... ♦ 0 0 6 | 0 0 0 0 12 | 0 0 0 0 0 0 4 4 | * * * * * * 5 * | 0 0 0 2 0 0 1 | 0 1 2 0
... ..x3..o3..o ... ♦ 0 0 4 | 0 0 0 0 6 | 0 0 0 0 0 0 0 4 | * * * * * * * 5 | 0 0 0 0 2 0 1 | 0 0 2 1
------------------------+---------+---------------+------------------------+-----------------------+--------------------+--------
ox.3oo.3oo. ... ...&#x ♦ 1 4 0 | 4 6 0 0 0 | 6 0 4 0 0 0 0 0 | 4 0 1 0 0 0 0 0 | 10 * * * * * * | 1 1 0 0
oxo3oox ... ... oxo&#x ♦ 1 6 3 | 6 6 3 12 3 | 6 3 2 6 6 6 1 0 | 2 3 0 2 0 3 0 0 | * 10 * * * * * | 0 2 0 0
.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 0 | * * 2 * * * * | 1 0 1 0
.xo3.ox3.oo ... ...&#x ♦ 0 4 6 | 0 6 0 12 12 | 0 0 4 6 12 0 4 4 | 0 0 1 4 4 0 1 0 | * * * 10 * * * | 0 1 1 0
... .ox3.oo3.oo ...&#x ♦ 0 1 4 | 0 0 0 4 6 | 0 0 0 0 6 0 0 4 | 0 0 0 0 4 0 0 1 | * * * * 10 * * | 0 0 1 1
... .ox3.oo ... .xo&#x ♦ 0 2 3 | 0 0 1 6 3 | 0 0 0 0 6 3 0 1 | 0 0 0 0 2 3 0 0 | * * * * * 20 * | 0 1 0 1
..o3..x3..o3..o ... ♦ 0 0 10 | 0 0 0 0 30 | 0 0 0 0 0 0 10 20 | 0 0 0 0 0 0 5 5 | * * * * * * 1 | 0 0 2 0
------------------------+---------+---------------+------------------------+-----------------------+--------------------+--------
ox.3oo.3oo.3oo. ...&#x ♦ 1 5 0 | 5 10 0 0 0 | 10 0 10 0 0 0 0 0 | 10 0 5 0 0 0 0 0 | 5 0 1 0 0 0 0 | 2 * * *
oxo3oox3ooo ... oxo&#x ♦ 1 8 6 | 8 12 4 24 12 | 12 4 8 12 24 12 4 4 | 8 6 2 8 8 12 1 0 | 2 4 0 2 0 4 0 | * 5 * *
.xo3.ox3.oo3.oo ...&#x ♦ 0 5 10 | 0 10 0 20 30 | 0 0 10 10 30 0 10 20 | 0 0 5 10 20 0 5 5 | 0 0 1 5 5 0 1 | * * 2 *
... .ox3.oo3.oo .xo&#x ♦ 0 2 4 | 0 0 1 8 6 | 0 0 0 0 12 4 0 4 | 0 0 0 0 8 6 0 1 | 0 0 0 0 2 4 0 | * * * 5
oxo3oox3ooo oxo3xoo&#xt → both heights = sqrt(7/24) = 0.540062
({3} || pseudo dual tratet || perp oct)
o..3o..3o.. o..3o.. | 3 * * ♦ 2 8 0 0 0 0 | 1 12 4 8 0 0 0 0 0 0 0 | 8 6 12 4 0 0 0 0 0 0 | 2 4 8 6 0 0 0 | 1 2 4 0
.o.3.o.3.o. .o.3.o. | * 12 * ♦ 0 2 3 2 3 0 | 0 6 2 1 3 1 3 3 6 0 0 | 6 6 3 1 1 3 1 6 3 0 | 2 6 3 3 1 2 3 | 2 1 3 1
..o3..o3..o ..o3..o | * * 6 ♦ 0 0 0 0 6 4 | 0 0 0 0 0 0 3 12 6 2 2 | 0 3 0 0 0 6 6 12 2 1 | 0 6 0 1 3 6 4 | 3 0 2 2
------------------------+--------+------------------+------------------------------+----------------------------+-------------------+--------
... ... ... ... x.. | 2 0 0 | 3 * * * * * | 1 0 0 4 0 0 0 0 0 0 0 | 0 0 6 4 0 0 0 0 0 0 | 0 0 4 6 0 0 0 | 0 1 4 0
oo.3oo.3oo. oo.3oo.&#x | 1 1 0 | * 24 * * * * | 0 3 1 1 0 0 0 0 0 0 0 | 3 3 3 1 0 0 0 0 0 0 | 1 3 3 3 0 0 0 | 1 1 3 0
.x. ... ... ... ... | 0 2 0 | * * 18 * * * | 0 2 0 0 2 0 1 0 0 0 0 | 4 2 1 0 1 2 0 0 0 0 | 2 4 2 1 1 0 0 | 2 1 2 0
... ... ... .x. ... | 0 2 0 | * * * 12 * * | 0 0 1 0 0 1 0 0 3 0 0 | 0 3 0 1 0 0 0 3 3 0 | 0 3 0 3 0 1 3 | 1 0 3 1
.oo3.oo3.oo .oo3.oo&#x | 0 1 1 | * * * * 36 * | 0 0 0 0 0 0 1 2 2 0 0 | 0 2 0 0 0 2 1 4 1 0 | 0 4 0 1 1 2 2 | 2 0 2 1
... ..x ... ... ... | 0 0 2 | * * * * * 12 | 0 0 0 0 0 0 0 3 0 1 1 | 0 0 0 0 0 3 3 3 0 1 | 0 3 0 0 3 3 1 | 3 0 1 1
------------------------+--------+------------------+------------------------------+----------------------------+-------------------+--------
... ... ... o..3x.. | 3 0 0 | 3 0 0 0 0 0 | 1 * * * * * * * * * * ♦ 0 0 0 4 0 0 0 0 0 0 | 0 0 0 6 0 0 0 | 0 0 4 0
ox. ... ... ... ...&#x | 1 2 0 | 0 2 1 0 0 0 | * 36 * * * * * * * * * | 2 1 1 0 0 0 0 0 0 0 | 1 2 2 1 0 0 0 | 1 1 2 0
... ... ... ox. ...&#x | 1 2 0 | 0 2 0 1 0 0 | * * 12 * * * * * * * * ♦ 0 3 0 1 0 0 0 0 0 0 | 0 3 0 3 0 0 0 | 1 0 3 0
... ... ... ... xo.&#x | 2 1 0 | 1 2 0 0 0 0 | * * * 12 * * * * * * * | 0 0 3 1 0 0 0 0 0 0 | 0 0 3 3 0 0 0 | 0 1 3 0
.x.3.o. ... ... ... | 0 3 0 | 0 0 3 0 0 0 | * * * * 12 * * * * * * | 2 0 0 0 1 1 0 0 0 0 | 2 2 1 0 1 0 0 | 2 1 1 0
... ... ... .x.3.o. | 0 3 0 | 0 0 0 3 0 0 | * * * * * 4 * * * * * | 0 0 0 1 0 0 0 0 3 0 | 0 0 0 3 0 0 3 | 0 0 3 1
.xo ... ... ... ...&#x | 0 2 1 | 0 0 1 0 2 0 | * * * * * * 18 * * * * ♦ 0 2 0 0 0 2 0 0 0 0 | 0 4 0 1 1 0 0 | 2 0 2 0
... .ox ... ... ...&#x | 0 1 2 | 0 0 0 0 2 1 | * * * * * * * 36 * * * | 0 0 0 0 0 1 1 2 0 0 | 0 2 0 0 1 2 1 | 2 0 1 1
... ... ... .xo ...&#x | 0 2 1 | 0 0 0 1 2 0 | * * * * * * * * 36 * * | 0 1 0 0 0 0 0 2 1 0 | 0 2 0 1 0 1 2 | 1 0 2 1
..o3..x ... ... ... | 0 0 3 | 0 0 0 0 0 3 | * * * * * * * * * 4 * ♦ 0 0 0 0 0 3 0 0 0 1 | 0 3 0 0 3 0 0 | 3 0 1 0
... ..x3..o ... ... | 0 0 3 | 0 0 0 0 0 3 | * * * * * * * * * * 4 | 0 0 0 0 0 0 3 0 0 1 | 0 0 0 0 3 3 0 | 3 0 0 1
------------------------+--------+------------------+------------------------------+----------------------------+-------------------+--------
ox.3oo. ... ... ...&#x ♦ 1 3 0 | 0 3 3 0 0 0 | 0 3 0 0 1 0 0 0 0 0 0 | 24 * * * * * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0
oxo ... ... oxo ...&#xt ♦ 1 4 1 | 0 4 2 2 4 0 | 0 2 2 0 0 0 2 0 2 0 0 | * 18 * * * * * * * * | 0 2 0 1 0 0 0 | 1 0 2 0
ox. ... ... ... xo.&#x ♦ 2 2 0 | 1 4 1 0 0 0 | 0 2 0 2 0 0 0 0 0 0 0 | * * 18 * * * * * * * | 0 0 2 1 0 0 0 | 0 1 2 0
... ... ... ox.3xo.&#x ♦ 3 3 0 | 3 6 0 3 0 0 | 1 0 3 3 0 1 0 0 0 0 0 | * * * 4 * * * * * * | 0 0 0 3 0 0 0 | 0 0 3 0
.x.3.o.3.o. ... ... ♦ 0 4 0 | 0 0 6 0 0 0 | 0 0 0 0 4 0 0 0 0 0 0 | * * * * 3 * * * * * | 2 0 0 0 1 0 0 | 2 1 0 0
.xo3.ox ... ... ...&#x ♦ 0 3 3 | 0 0 3 0 6 3 | 0 0 0 0 1 0 3 3 0 1 0 | * * * * * 12 * * * * | 0 2 0 0 1 0 0 | 2 0 1 0
... .ox3.oo ... ...&#x ♦ 0 1 3 | 0 0 0 0 3 3 | 0 0 0 0 0 0 0 3 0 0 1 | * * * * * * 12 * * * | 0 0 0 0 1 2 0 | 2 0 0 1
... .ox ... .xo ...&#x ♦ 0 2 2 | 0 0 0 1 4 1 | 0 0 0 0 0 0 0 2 2 0 0 | * * * * * * * 36 * * | 0 1 0 0 0 1 1 | 1 0 1 1
... ... ... .xo3.oo&#x ♦ 0 3 1 | 0 0 0 3 3 0 | 0 0 0 0 0 1 0 0 3 0 0 | * * * * * * * * 12 * | 0 0 0 1 0 0 2 | 0 0 2 1
..o3..x3..o ... ... ♦ 0 0 6 | 0 0 0 0 0 12 | 0 0 0 0 0 0 0 0 0 4 4 | * * * * * * * * * 1 | 0 0 0 0 3 0 0 | 3 0 0 0
------------------------+--------+------------------+------------------------------+----------------------------+-------------------+--------
ox.3oo.3oo. ... ...&#x ♦ 1 4 0 | 0 4 6 0 0 0 | 0 6 0 0 4 0 0 0 0 0 0 | 4 0 0 0 1 0 0 0 0 0 | 6 * * * * * * | 1 1 0 0
oxo3oox ... oxo ...&#xt ♦ 1 6 3 | 0 6 6 3 12 3 | 0 6 3 0 2 0 6 6 6 1 0 | 2 3 0 0 0 2 0 3 0 0 | * 12 * * * * * | 1 0 1 0
ox.3oo. ... ... xo.&#x ♦ 2 3 0 | 1 6 3 0 0 0 | 0 6 0 3 1 0 0 0 0 0 0 | 2 0 3 0 0 0 0 0 0 0 | * * 12 * * * * | 0 1 1 0
oxo ... ... oxo3xoo&#x ♦ 3 6 1 | 3 12 3 6 6 0 | 1 6 6 6 0 2 3 0 6 0 0 | 0 3 3 2 0 0 0 0 2 0 | * * * 6 * * * | 0 0 2 0
.xo3.ox3.oo ... ...&#x ♦ 0 4 6 | 0 0 6 0 12 12 | 0 0 0 0 4 0 6 12 0 4 4 | 0 0 0 0 1 4 4 0 0 1 | * * * * 3 * * | 2 0 0 0
... .ox3.oo .xo ...&#x ♦ 0 2 3 | 0 0 0 1 6 3 | 0 0 0 0 0 0 0 6 3 0 1 | 0 0 0 0 0 0 2 3 0 0 | * * * * * 12 * | 1 0 0 1
... .ox ... .xo3.oo&#x ♦ 0 3 2 | 0 0 0 3 6 1 | 0 0 0 0 0 1 0 3 6 0 0 | 0 0 0 0 0 0 0 3 2 0 | * * * * * * 12 | 0 0 1 1
------------------------+--------+------------------+------------------------------+----------------------------+-------------------+--------
oxo3oox3ooo oxo ...&#xt ♦ 1 8 6 | 0 8 12 4 24 12 | 0 12 4 0 8 0 12 24 12 4 4 | 8 6 0 0 2 8 8 12 0 1 | 2 4 0 0 2 4 0 | 3 * * *
ox.3oo.3oo. ... xo.&#x ♦ 2 4 0 | 1 8 6 0 0 0 | 0 12 0 4 4 0 0 0 0 0 0 | 8 0 6 0 1 0 0 0 0 0 | 2 0 4 0 0 0 0 | * 3 * *
oxo3oox ... oxo3xoo&#xt ♦ 3 9 3 | 3 18 9 9 18 3 | 1 18 9 9 3 3 9 9 18 1 0 | 6 9 9 3 0 3 0 9 6 0 | 0 3 3 3 0 0 3 | * * 4 *
... .ox3.oo .xo3.oo&#x ♦ 0 3 3 | 0 0 0 3 9 3 | 0 0 0 0 0 1 0 9 9 0 1 | 0 0 0 0 0 0 3 9 3 0 | 0 0 0 0 0 3 3 | * * * 4
xoxo3oxoo3oooo3oooo&#xr → all cyclic heights = sqrt(3/5) = 0.774597
height(1,3) = 1
height(2,4) = sqrt(61)/5 = 1.562050
o...3o...3o...3o... & | 10 * * ♦ 4 4 1 1 0 | 6 4 6 4 4 1 0 0 | 4 6 4 6 4 6 0 0 | 1 4 1 4 6 4 0 | 1 1 4 1
.o..3.o..3.o..3.o.. | * 10 * ♦ 0 4 0 0 6 | 0 2 12 2 0 0 3 6 | 0 6 12 0 1 6 3 2 | 0 6 4 0 3 6 1 | 2 0 3 2
...o3...o3...o3...o | * * 1 ♦ 0 0 0 10 0 | 0 0 0 0 20 5 0 0 | 0 0 0 20 10 0 0 0 | 0 0 0 10 10 0 0 | 0 2 5 0
--------------------------+---------+---------------+------------------------+-----------------------+--------------------+--------
x... .... .... .... & | 2 0 0 | 20 * * * * | 3 1 0 0 1 0 0 0 | 3 3 0 3 1 0 0 0 | 1 3 0 3 3 0 0 | 1 1 3 0
oo..3oo..3oo..3oo..&#x & | 1 1 0 | * 40 * * * | 0 1 3 1 0 0 0 0 | 0 3 3 0 1 3 0 0 | 0 3 1 0 3 3 0 | 1 0 3 1
o.o.3o.o.3o.o.3o.o.&#x & | 2 0 0 | * * 5 * * | 0 0 0 4 0 1 0 0 | 0 0 0 0 4 6 0 0 | 0 0 0 0 6 4 0 | 0 0 4 1
o..o3o..o3o..o3o..o&#x & | 1 0 1 | * * * 10 * | 0 0 0 0 4 1 0 0 | 0 0 0 6 4 0 0 0 | 0 0 0 4 6 0 0 | 0 1 4 0
.... .x.. .... .... | 0 2 0 | * * * * 30 | 0 0 2 0 0 0 1 2 | 0 2 4 0 0 1 2 1 | 0 4 2 0 1 2 1 | 2 0 2 1
--------------------------+---------+---------------+------------------------+-----------------------+--------------------+--------
x...3o... .... .... & | 3 0 0 | 3 0 0 0 0 | 20 * * * * * * * | 2 2 0 0 0 0 0 0 | 1 2 0 2 1 0 0 | 1 1 2 0
xo.. .... .... ....&#x & | 2 1 0 | 1 2 0 0 0 | * 20 * * * * * * ♦ 0 3 0 0 1 0 0 0 | 0 3 0 0 3 0 0 | 1 0 3 0
.... ox.. .... ....&#x & | 1 2 0 | 0 2 0 0 1 | * * 60 * * * * * | 0 1 2 0 0 1 0 0 | 0 2 1 0 1 2 0 | 1 0 2 1
ooo.3ooo.3ooo.3ooo.&#x | 2 1 0 | 0 2 1 0 0 | * * * 20 * * * * | 0 0 0 0 1 3 0 0 | 0 0 0 0 3 3 0 | 0 0 3 1
x..o .... .... ....&#x & | 2 0 1 | 1 0 0 2 0 | * * * * 20 * * * | 0 0 0 3 1 0 0 0 | 0 0 0 3 3 0 0 | 0 1 3 0
o.oo3o.oo3o.oo3o.oo&#x | 2 0 1 | 0 0 1 2 0 | * * * * * 5 * * ♦ 0 0 0 0 4 0 0 0 | 0 0 0 0 6 0 0 | 0 0 4 0
.o..3.x.. .... .... | 0 3 0 | 0 0 0 0 3 | * * * * * * 10 * ♦ 0 2 0 0 0 0 2 0 | 0 4 0 0 1 0 1 | 2 0 2 0
.... .x..3.o.. .... | 0 3 0 | 0 0 0 0 3 | * * * * * * * 20 | 0 0 2 0 0 0 1 1 | 0 2 2 0 0 1 1 | 2 0 1 1
--------------------------+---------+---------------+------------------------+-----------------------+--------------------+--------
x...3o...3o... .... & ♦ 4 0 0 | 6 0 0 0 0 | 4 0 0 0 0 0 0 0 | 10 * * * * * * * | 1 1 0 1 0 0 0 | 1 1 1 0
xo..3ox.. .... ....&#x & ♦ 3 3 0 | 3 6 0 0 3 | 1 3 3 0 0 0 1 0 | * 20 * * * * * * | 0 2 0 0 1 0 0 | 1 0 2 0
.... ox..3oo.. ....&#x & ♦ 1 3 0 | 0 3 0 0 3 | 0 0 3 0 0 0 0 1 | * * 40 * * * * * | 0 1 1 0 0 1 0 | 1 0 1 1
x..o3o..o .... ....&#x & ♦ 3 0 1 | 3 0 0 3 0 | 1 0 0 0 3 0 0 0 | * * * 20 * * * * | 0 0 0 2 1 0 0 | 0 1 2 0
xoxo .... .... ....&#xr ♦ 4 1 1 | 2 4 2 4 0 | 0 2 0 2 2 2 0 0 | * * * * 10 * * * | 0 0 0 0 3 0 0 | 0 0 3 0
.... oxo. .... ....&#x ♦ 2 2 0 | 0 4 1 0 1 | 0 0 2 2 0 0 0 0 | * * * * * 30 * * | 0 0 0 0 1 2 0 | 0 0 2 1
.o..3.x..3.o.. .... ♦ 0 6 0 | 0 0 0 0 12 | 0 0 0 0 0 0 4 4 | * * * * * * 5 * | 0 2 0 0 0 0 1 | 2 0 1 0
.... .x..3.o..3.o.. ♦ 0 4 0 | 0 0 0 0 6 | 0 0 0 0 0 0 0 4 | * * * * * * * 5 | 0 0 2 0 0 0 1 | 2 0 0 1
--------------------------+---------+---------------+------------------------+-----------------------+--------------------+--------
x...3o...3o...3o... & ♦ 5 0 0 | 10 0 0 0 0 | 10 0 0 0 0 0 0 0 | 5 0 0 0 0 0 0 0 | 2 * * * * * * | 1 1 0 0
xo..3ox..3oo.. ....&#x & ♦ 4 6 0 | 6 12 0 0 12 | 4 6 12 0 0 0 4 4 | 1 4 4 0 0 0 1 0 | * 10 * * * * * | 1 0 1 0
.... ox..3oo..3oo..&#x & ♦ 1 4 0 | 0 4 0 0 6 | 0 0 6 0 0 0 0 4 | 0 0 4 0 0 0 0 1 | * * 10 * * * * | 1 0 0 1
x..o3o..o3o..o ....&#x & ♦ 4 0 1 | 6 0 0 4 0 | 4 0 0 0 6 0 0 0 | 1 0 0 4 0 0 0 0 | * * * 10 * * * | 0 1 1 0
xoxo3oxoo .... ....&#xr ♦ 6 3 1 | 6 12 3 6 3 | 2 6 6 6 6 3 1 0 | 0 2 0 2 3 3 0 0 | * * * * 10 * * | 0 0 2 0
.... oxo.3ooo. ....&#x ♦ 2 3 0 | 0 6 1 0 3 | 0 0 6 3 0 0 0 1 | 0 0 2 0 0 3 0 0 | * * * * * 20 * | 0 0 1 1
.o..3.x..3.o..3.o.. ♦ 0 10 0 | 0 0 0 0 30 | 0 0 0 0 0 0 10 20 | 0 0 0 0 0 0 5 5 | * * * * * * 1 | 2 0 0 0
--------------------------+---------+---------------+------------------------+-----------------------+--------------------+--------
xo..3ox..3oo..3oo..&#x & ♦ 5 10 0 | 10 20 0 0 30 | 10 10 30 0 0 0 10 20 | 5 10 20 0 0 0 5 5 | 1 5 5 0 0 0 1 | 2 * * *
x..o3o..o3o..o3o..o&#x & ♦ 5 0 1 | 10 0 0 5 0 | 10 0 0 0 10 0 0 0 | 5 0 0 10 0 0 0 0 | 1 0 0 5 0 0 0 | * 2 * *
xoxo3oxoo3oooo ....&#xr ♦ 8 6 1 | 12 24 4 8 12 | 8 12 24 12 12 4 4 4 | 2 8 8 8 6 12 1 0 | 0 2 0 2 4 4 0 | * * 5 *
.... oxo.3ooo.3ooo.&#x ♦ 2 4 0 | 0 8 1 0 6 | 0 0 12 4 0 0 0 4 | 0 0 8 0 0 6 0 1 | 0 0 2 0 0 4 0 | * * * 5
oxoox ooooo3ooxoo3oxoxo&#xr → height(1,2) = height(2,3) = height(4,5) = sqrt(3/8) = 0.612372
height(3,4) = sqrt(5/8) = 0.790569
height(1,5) = sqrt(3)/2 = 0.866025
o.... o....3o....3o.... | 1 * * * * ♦ 8 2 0 0 0 0 0 0 0 0 0 0 | 4 12 1 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8 6 4 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 4 6 2 8 0 0 0 0 0 0 0 0 0 | 1 4 2 0 0 0
.o... .o...3.o...3.o... | * 8 * * * ♦ 1 0 1 3 3 1 1 0 0 0 0 0 | 1 3 0 1 3 3 3 3 1 3 3 1 0 0 0 0 0 0 0 | 3 3 1 3 1 3 1 3 3 3 3 3 0 0 0 0 0 0 | 3 3 1 3 1 1 3 1 1 3 0 0 0 | 1 3 1 1 1 0
..o.. ..o..3..o..3..o.. | * * 6 * * ♦ 0 0 0 0 4 0 0 4 2 0 0 0 | 0 0 0 0 0 2 8 2 0 0 4 0 2 2 4 1 0 0 0 | 0 1 0 0 0 4 4 4 2 0 8 2 1 2 2 0 0 0 | 2 1 0 0 2 2 4 4 0 4 1 0 0 | 1 2 0 2 2 0
...o. ...o.3...o.3...o. | * * * 4 * ♦ 0 0 0 0 0 2 0 0 3 3 2 0 | 0 0 0 0 0 0 0 0 1 0 6 2 0 0 3 3 3 1 6 | 0 0 1 0 0 0 0 0 3 0 6 6 0 1 3 1 3 6 | 0 3 0 0 0 0 3 2 0 6 1 3 2 | 0 3 0 1 2 1
....o ....o3....o3....o | * * * * 2 ♦ 0 1 0 0 0 0 4 0 0 0 4 1 | 0 0 1 4 0 0 0 0 0 6 0 4 0 0 0 0 0 4 6 | 0 0 4 6 0 0 0 0 0 4 0 6 0 0 0 0 6 4 | 0 6 0 4 0 0 0 0 1 4 0 4 1 | 0 4 1 0 1 1
----------------------------+-----------+-----------------------------+-----------------------------------------------+------------------------------------------+----------------------------+------------
oo... oo...3oo...3oo...&#x | 1 1 0 0 0 | 8 * * * * * * * * * * * | 1 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3 3 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3 3 1 3 0 0 0 0 0 0 0 0 0 | 1 3 1 0 0 0
o...o o...o3o...o3o...o&#x | 1 0 0 0 1 | * 2 * * * * * * * * * * | 0 0 1 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 | 0 6 0 4 0 0 0 0 0 0 0 0 0 | 0 4 1 0 0 0
.x... ..... ..... ..... | 0 2 0 0 0 | * * 4 * * * * * * * * * | 1 0 0 0 0 3 0 0 1 0 0 0 0 0 0 0 0 0 0 | 0 3 1 0 0 3 0 0 3 0 0 0 0 0 0 0 0 0 | 3 3 0 0 1 0 3 0 0 0 0 0 0 | 1 3 0 1 0 0
..... ..... ..... .x... | 0 2 0 0 0 | * * * 12 * * * * * * * * | 0 1 0 0 2 0 0 1 0 1 0 0 0 0 0 0 0 0 0 | 2 1 0 1 1 0 0 2 0 2 0 1 0 0 0 0 0 0 | 2 1 1 2 0 1 0 0 1 2 0 0 0 | 1 2 1 0 1 0
.oo.. .oo..3.oo..3.oo..&#x | 0 1 1 0 0 | * * * * 24 * * * * * * * | 0 0 0 0 0 1 2 1 0 0 1 0 0 0 0 0 0 0 0 | 0 1 0 0 0 2 1 2 1 0 2 1 0 0 0 0 0 0 | 2 1 0 0 1 1 2 1 0 2 0 0 0 | 1 2 0 1 1 0
.o.o. .o.o.3.o.o.3.o.o.&#x | 0 1 0 1 0 | * * * * * 8 * * * * * * | 0 0 0 0 0 0 0 0 1 0 3 1 0 0 0 0 0 0 0 | 0 0 1 0 0 0 0 0 3 0 3 3 0 0 0 0 0 0 | 0 3 0 0 0 0 3 1 0 3 0 0 0 | 0 3 0 1 1 0
.o..o .o..o3.o..o3.o..o&#x | 0 1 0 0 1 | * * * * * * 8 * * * * * | 0 0 0 1 0 0 0 0 0 3 0 1 0 0 0 0 0 0 0 | 0 0 1 3 0 0 0 0 0 3 0 3 0 0 0 0 0 0 | 0 3 0 3 0 0 0 0 1 3 0 0 0 | 0 3 1 0 1 0
..... ..... ..x.. ..... | 0 0 2 0 0 | * * * * * * * 12 * * * * | 0 0 0 0 0 0 2 0 0 0 0 0 1 1 1 0 0 0 0 | 0 0 0 0 0 1 2 2 0 0 2 0 1 1 1 0 0 0 | 1 0 0 0 1 2 1 2 0 2 1 0 0 | 1 1 0 1 2 0
..oo. ..oo.3..oo.3..oo.&#x | 0 0 1 1 0 | * * * * * * * * 12 * * * | 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 1 0 0 0 | 0 0 0 0 0 0 0 0 1 0 4 2 0 1 2 0 0 0 | 0 1 0 0 0 0 2 2 0 4 1 0 0 | 0 2 0 1 2 0
..... ..... ..... ...x. | 0 0 0 2 0 | * * * * * * * * * 6 * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 | 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 1 1 4 | 0 1 0 0 0 0 0 0 0 4 1 2 2 | 0 2 0 0 2 1
...oo ...oo3...oo3...oo&#x | 0 0 0 1 1 | * * * * * * * * * * 8 * | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 3 | 0 0 1 0 0 0 0 0 0 0 0 3 0 0 0 0 3 3 | 0 3 0 0 0 0 0 0 0 3 0 3 1 | 0 3 0 0 1 1
....x ..... ..... ..... | 0 0 0 0 2 | * * * * * * * * * * * 1 | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 | 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 | 0 6 0 0 0 0 0 0 0 0 0 4 0 | 0 4 0 0 0 1
----------------------------+-----------+-----------------------------+-----------------------------------------------+------------------------------------------+----------------------------+------------
ox... ..... ..... .....&#x | 1 2 0 0 0 | 2 0 1 0 0 0 0 0 0 0 0 0 | 4 * * * * * * * * * * * * * * * * * * ♦ 0 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3 3 0 0 0 0 0 0 0 0 0 0 0 | 1 3 0 0 0 0
..... ..... ..... ox...&#x | 1 2 0 0 0 | 2 0 0 1 0 0 0 0 0 0 0 0 | * 12 * * * * * * * * * * * * * * * * * | 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 1 1 2 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0
o...x ..... ..... .....&#x | 1 0 0 0 2 | 0 2 0 0 0 0 0 0 0 0 0 1 | * * 1 * * * * * * * * * * * * * * * * ♦ 0 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 0 0 0 | 0 4 0 0 0 0
oo..o oo..o3oo..o3oo..o&#x | 1 1 0 0 1 | 1 1 0 0 0 0 1 0 0 0 0 0 | * * * 8 * * * * * * * * * * * * * * * | 0 0 1 3 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 3 1 0 0 0
..... ..... .o...3.x... | 0 3 0 0 0 | 0 0 0 3 0 0 0 0 0 0 0 0 | * * * * 8 * * * * * * * * * * * * * * | 1 0 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 | 1 0 1 1 0 1 0 0 1 1 0 0 0 | 1 1 1 0 1 0
.xo.. ..... ..... .....&#x | 0 2 1 0 0 | 0 0 1 0 2 0 0 0 0 0 0 0 | * * * * * 12 * * * * * * * * * * * * * | 0 1 0 0 0 2 0 0 1 0 0 0 0 0 0 0 0 0 | 2 1 0 0 1 0 2 0 0 0 0 0 0 | 1 2 0 1 0 0
..... ..... .ox.. .....&#x | 0 1 2 0 0 | 0 0 0 0 2 0 0 1 0 0 0 0 | * * * * * * 24 * * * * * * * * * * * * | 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 0 0 | 1 0 0 0 1 1 1 1 0 1 0 0 0 | 1 1 0 1 1 0
..... ..... ..... .xo..&#x | 0 2 1 0 0 | 0 0 0 1 2 0 0 0 0 0 0 0 | * * * * * * * 12 * * * * * * * * * * * ♦ 0 1 0 0 0 0 0 2 0 0 0 1 0 0 0 0 0 0 | 2 1 0 0 0 1 0 0 0 2 0 0 0 | 1 2 0 0 1 0
.x.o. ..... ..... .....&#x | 0 2 0 1 0 | 0 0 1 0 0 2 0 0 0 0 0 0 | * * * * * * * * 4 * * * * * * * * * * | 0 0 1 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 | 0 3 0 0 0 0 3 0 0 0 0 0 0 | 0 3 0 1 0 0
..... ..... ..... .x..o&#x | 0 2 0 0 1 | 0 0 0 1 0 0 2 0 0 0 0 0 | * * * * * * * * * 12 * * * * * * * * * | 0 0 0 1 0 0 0 0 0 2 0 1 0 0 0 0 0 0 | 0 1 0 2 0 0 0 0 1 2 0 0 0 | 0 2 1 0 1 0
.ooo. .ooo.3.ooo.3.ooo.&#x | 0 1 1 1 0 | 0 0 0 0 1 1 0 0 1 0 0 0 | * * * * * * * * * * 24 * * * * * * * * | 0 0 0 0 0 0 0 0 1 0 2 1 0 0 0 0 0 0 | 0 1 0 0 0 0 2 1 0 2 0 0 0 | 0 2 0 1 1 0
.o.oo .o.oo3.o.oo3.o.oo&#x | 0 1 0 1 1 | 0 0 0 0 0 1 1 0 0 0 1 0 | * * * * * * * * * * * 8 * * * * * * * ♦ 0 0 1 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 | 0 3 0 0 0 0 0 0 0 3 0 0 0 | 0 3 0 0 1 0
..... ..o..3..x.. ..... | 0 0 3 0 0 | 0 0 0 0 0 0 0 3 0 0 0 0 | * * * * * * * * * * * * 4 * * * * * * | 0 0 0 0 0 0 2 0 0 0 0 0 1 1 0 0 0 0 | 0 0 0 0 1 2 0 2 0 0 1 0 0 | 1 0 0 1 2 0
..... ..... ..x..3..o.. | 0 0 3 0 0 | 0 0 0 0 0 0 0 3 0 0 0 0 | * * * * * * * * * * * * * 4 * * * * * ♦ 0 0 0 0 0 0 0 2 0 0 0 0 1 0 1 0 0 0 | 1 0 0 0 0 2 0 0 0 2 1 0 0 | 1 1 0 0 2 0
..... ..... ..xo. .....&#x | 0 0 2 1 0 | 0 0 0 0 0 0 0 1 2 0 0 0 | * * * * * * * * * * * * * * 12 * * * * | 0 0 0 0 0 0 0 0 0 0 2 0 0 1 1 0 0 0 | 0 0 0 0 0 0 1 2 0 2 1 0 0 | 0 1 0 1 2 0
..... ..... ..... ..ox.&#x | 0 0 1 2 0 | 0 0 0 0 0 0 0 0 2 1 0 0 | * * * * * * * * * * * * * * * 6 * * * ♦ 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 | 0 1 0 0 0 0 0 0 0 4 1 0 0 | 0 2 0 0 2 0
..... ..... ...o.3...x. | 0 0 0 3 0 | 0 0 0 0 0 0 0 0 0 3 0 0 | * * * * * * * * * * * * * * * * 4 * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 | 0 0 0 0 0 0 0 0 0 2 1 1 2 | 0 1 0 0 2 1
...ox ..... ..... .....&#x | 0 0 0 1 2 | 0 0 0 0 0 0 0 0 0 0 2 1 | * * * * * * * * * * * * * * * * * 4 * | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 | 0 3 0 0 0 0 0 0 0 0 0 3 0 | 0 3 0 0 0 1
..... ..... ..... ...xo&#x | 0 0 0 2 1 | 0 0 0 0 0 0 0 0 0 1 2 0 | * * * * * * * * * * * * * * * * * * 12 | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 | 0 1 0 0 0 0 0 0 0 2 0 2 1 | 0 2 0 0 1 1
----------------------------+-----------+-----------------------------+-----------------------------------------------+------------------------------------------+----------------------------+------------
..... ..... oo...3ox...&#x ♦ 1 3 0 0 0 | 3 0 0 3 0 0 0 0 0 0 0 0 | 0 3 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 8 * * * * * * * * * * * * * * * * * | 1 0 1 1 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
oxo.. ..... ..... oxo..&#xt ♦ 1 4 1 0 0 | 4 0 2 2 4 0 0 0 0 0 0 0 | 2 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 | * 6 * * * * * * * * * * * * * * * * | 2 1 0 0 0 0 0 0 0 0 0 0 0 | 1 2 0 0 0 0
ox.ox ..... ..... .....&#xr ♦ 1 2 0 1 2 | 2 2 1 0 0 2 2 0 0 0 2 1 | 1 0 1 2 0 0 0 0 1 0 0 2 0 0 0 0 0 1 0 | * * 4 * * * * * * * * * * * * * * * | 0 3 0 0 0 0 0 0 0 0 0 0 0 | 0 3 0 0 0 0
..... ..... ..... ox..o&#x ♦ 1 2 0 0 1 | 2 1 0 1 0 0 2 0 0 0 0 0 | 0 1 0 2 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | * * * 12 * * * * * * * * * * * * * * | 0 1 0 2 0 0 0 0 0 0 0 0 0 | 0 2 1 0 0 0
..... .o...3.o...3.x... ♦ 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 0 0 0 0 0 0 0 0 0 | * * * * 2 * * * * * * * * * * * * * | 0 0 1 0 0 1 0 0 1 0 0 0 0 | 1 0 1 0 1 0
.xo.. ..... .ox.. .....&#x ♦ 0 2 2 0 0 | 0 0 1 0 4 0 0 1 0 0 0 0 | 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * 12 * * * * * * * * * * * * | 1 0 0 0 1 0 1 0 0 0 0 0 0 | 1 1 0 1 0 0
..... .oo..3.ox.. .....&#x ♦ 0 1 3 0 0 | 0 0 0 0 3 0 0 3 0 0 0 0 | 0 0 0 0 0 0 3 0 0 0 0 0 1 0 0 0 0 0 0 | * * * * * * 8 * * * * * * * * * * * | 0 0 0 0 1 1 0 1 0 0 0 0 0 | 1 0 0 1 1 0
..... ..... .ox..3.xo..&#x ♦ 0 3 3 0 0 | 0 0 0 3 6 0 0 3 0 0 0 0 | 0 0 0 0 1 0 3 3 0 0 0 0 0 1 0 0 0 0 0 | * * * * * * * 8 * * * * * * * * * * | 1 0 0 0 0 1 0 0 0 1 0 0 0 | 1 1 0 0 1 0
.xoo. ..... ..... .....&#x ♦ 0 2 1 1 0 | 0 0 1 0 2 2 0 0 1 0 0 0 | 0 0 0 0 0 1 0 0 1 0 2 0 0 0 0 0 0 0 0 | * * * * * * * * 12 * * * * * * * * * | 0 1 0 0 0 0 2 0 0 0 0 0 0 | 0 2 0 1 0 0
..... ..... .o..o3.x..o&#x ♦ 0 3 0 0 1 | 0 0 0 3 0 0 3 0 0 0 0 0 | 0 0 0 0 1 0 0 0 0 3 0 0 0 0 0 0 0 0 0 | * * * * * * * * * 8 * * * * * * * * | 0 0 0 1 0 0 0 0 1 1 0 0 0 | 0 1 1 0 1 0
..... ..... .oxo. .....&#x ♦ 0 1 2 1 0 | 0 0 0 0 2 1 0 1 2 0 0 0 | 0 0 0 0 0 0 1 0 0 0 2 0 0 0 1 0 0 0 0 | * * * * * * * * * * 24 * * * * * * * | 0 0 0 0 0 0 1 1 0 1 0 0 0 | 0 1 0 1 1 0
..... ..... ..... .xoxo&#xr ♦ 0 2 1 2 1 | 0 0 0 1 2 2 2 0 2 1 2 0 | 0 0 0 0 0 0 0 1 0 1 2 2 0 0 0 1 0 0 1 | * * * * * * * * * * * 12 * * * * * * | 0 1 0 0 0 0 0 0 0 2 0 0 0 | 0 2 0 0 1 0
..... ..o..3..x..3..o.. ♦ 0 0 6 0 0 | 0 0 0 0 0 0 0 12 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 | * * * * * * * * * * * * 1 * * * * * | 0 0 0 0 0 2 0 0 0 0 1 0 0 | 1 0 0 0 2 0
..... ..oo.3..xo. .....&#x ♦ 0 0 3 1 0 | 0 0 0 0 0 0 0 3 3 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 3 0 0 0 0 | * * * * * * * * * * * * * 4 * * * * | 0 0 0 0 0 0 0 2 0 0 1 0 0 | 0 0 0 1 2 0
..... ..... ..xo.3..ox.&#x ♦ 0 0 3 3 0 | 0 0 0 0 0 0 0 3 6 3 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 1 0 0 | * * * * * * * * * * * * * * 4 * * * | 0 0 0 0 0 0 0 0 0 2 1 0 0 | 0 1 0 0 2 0
..... ...o.3...o.3...x. ♦ 0 0 0 4 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 4 0 0 | * * * * * * * * * * * * * * * 1 * * | 0 0 0 0 0 0 0 0 0 0 1 0 2 | 0 0 0 0 2 1
...ox ..... ..... ...xo&#x ♦ 0 0 0 2 2 | 0 0 0 0 0 0 0 0 0 1 4 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 | * * * * * * * * * * * * * * * * 6 * | 0 1 0 0 0 0 0 0 0 0 0 2 0 | 0 2 0 0 0 1
..... ..... ...oo3...xo&#x ♦ 0 0 0 3 1 | 0 0 0 0 0 0 0 0 0 3 3 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 3 | * * * * * * * * * * * * * * * * * 8 | 0 0 0 0 0 0 0 0 0 1 0 1 1 | 0 1 0 0 1 1
----------------------------+-----------+-----------------------------+-----------------------------------------------+------------------------------------------+----------------------------+------------
oxo.. ..... oox..3oxo..&#xt ♦ 1 6 3 0 0 | 6 0 3 6 12 0 0 3 0 0 0 0 | 3 6 0 0 2 6 6 6 0 0 0 0 0 1 0 0 0 0 0 | 2 3 0 0 0 3 0 2 0 0 0 0 0 0 0 0 0 0 | 4 * * * * * * * * * * * * | 1 1 0 0 0 0
oxoox ..... ..... oxoxo&#xr ♦ 1 4 1 2 2 | 4 2 2 2 4 4 4 0 2 1 4 1 | 2 2 1 4 0 2 0 2 2 2 4 4 0 0 0 1 0 2 2 | 0 1 2 2 0 0 0 0 2 0 0 2 0 0 0 0 1 0 | * 6 * * * * * * * * * * * | 0 2 0 0 0 0
..... oo...3oo...3ox...&#x ♦ 1 4 0 0 0 | 4 0 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 0 | 4 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * 2 * * * * * * * * * * | 1 0 1 0 0 0
..... ..... oo..o3ox..o&#x ♦ 1 3 0 0 1 | 3 1 0 3 0 0 3 0 0 0 0 0 | 0 3 0 3 1 0 0 0 0 3 0 0 0 0 0 0 0 0 0 | 1 0 0 3 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | * * * 8 * * * * * * * * * | 0 1 1 0 0 0
.xo.. .oo..3.ox.. .....&#x ♦ 0 2 3 0 0 | 0 0 1 0 6 0 0 3 0 0 0 0 | 0 0 0 0 0 3 6 0 0 0 0 0 1 0 0 0 0 0 0 | 0 0 0 0 0 3 2 0 0 0 0 0 0 0 0 0 0 0 | * * * * 4 * * * * * * * * | 1 0 0 1 0 0
..... .oo..3.ox..3.xo..&#x ♦ 0 4 6 0 0 | 0 0 0 6 12 0 0 12 0 0 0 0 | 0 0 0 0 4 0 12 6 0 0 0 0 4 4 0 0 0 0 0 | 0 0 0 0 1 0 4 4 0 0 0 0 1 0 0 0 0 0 | * * * * * 2 * * * * * * * | 1 0 0 0 1 0
.xoo. ..... .oxo. .....&#x ♦ 0 2 2 1 0 | 0 0 1 0 4 2 0 1 2 0 0 0 | 0 0 0 0 0 2 2 0 1 0 4 0 0 0 1 0 0 0 0 | 0 0 0 0 0 1 0 0 2 0 2 0 0 0 0 0 0 0 | * * * * * * 12 * * * * * * | 0 1 0 1 0 0
..... .ooo.3.oxo. .....&#x ♦ 0 1 3 1 0 | 0 0 0 0 3 1 0 3 3 0 0 0 | 0 0 0 0 0 0 3 0 0 0 3 0 1 0 3 0 0 0 0 | 0 0 0 0 0 0 1 0 0 0 3 0 0 1 0 0 0 0 | * * * * * * * 8 * * * * * | 0 0 0 1 1 0
..... .o..o3.o..o3.x..o&#x ♦ 0 4 0 0 1 | 0 0 0 6 0 0 4 0 0 0 0 0 | 0 0 0 0 4 0 0 0 0 6 0 0 0 0 0 0 0 0 0 | 0 0 0 0 1 0 0 0 0 4 0 0 0 0 0 0 0 0 | * * * * * * * * 2 * * * * | 0 0 1 0 1 0
..... ..... .oxoo3.xoxo&#xr ♦ 0 3 3 3 1 | 0 0 0 3 6 3 3 3 6 3 3 0 | 0 0 0 0 1 0 3 3 0 3 6 3 0 1 3 3 1 0 3 | 0 0 0 0 0 0 0 1 0 1 3 3 0 0 1 0 0 1 | * * * * * * * * * 8 * * * | 0 1 0 0 1 0
..... ..oo.3..xo.3..ox.&#x ♦ 0 0 6 4 0 | 0 0 0 0 0 0 0 12 12 6 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 4 4 12 6 4 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 1 0 0 | * * * * * * * * * * 1 * * | 0 0 0 0 2 0
...ox ..... ...oo3...xo&#x ♦ 0 0 0 3 2 | 0 0 0 0 0 0 0 0 0 3 6 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 2 | * * * * * * * * * * * 4 * | 0 1 0 0 0 1
..... ...oo3...oo3...xo&#x ♦ 0 0 0 4 1 | 0 0 0 0 0 0 0 0 0 6 4 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 6 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 4 | * * * * * * * * * * * * 2 | 0 0 0 0 1 1
----------------------------+-----------+-----------------------------+-----------------------------------------------+------------------------------------------+----------------------------+------------
oxo.. ooo..3oox..3oxo..&#xt ♦ 1 8 6 0 0 | 8 0 4 12 24 0 0 12 0 0 0 0 | 4 12 0 0 8 12 24 12 0 0 0 0 4 4 0 0 0 0 0 | 8 6 0 0 2 12 8 8 0 0 0 0 1 0 0 0 0 0 | 4 0 2 0 4 2 0 0 0 0 0 0 0 | 1 * * * * *
oxoox ..... ooxoo3oxoxo&#xr ♦ 1 6 3 3 2 | 6 2 3 6 12 6 6 3 6 3 6 1 | 3 6 1 6 2 6 6 6 3 6 12 6 0 1 3 3 1 3 6 | 2 3 3 6 0 3 0 2 6 2 6 6 0 0 1 0 3 2 | 1 3 0 2 0 0 3 0 0 2 0 1 0 | * 4 * * * *
..... oo..o3oo..o3ox..o&#x ♦ 1 4 0 0 1 | 4 1 0 6 0 0 4 0 0 0 0 0 | 0 6 0 4 4 0 0 0 0 6 0 0 0 0 0 0 0 0 0 | 4 0 0 6 1 0 0 0 0 4 0 0 0 0 0 0 0 0 | 0 0 1 4 0 0 0 0 1 0 0 0 0 | * * 2 * * *
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..... .oooo3.oxoo3.xoxo&#xr ♦ 0 4 6 4 1 | 0 0 0 6 12 4 4 12 12 6 4 0 | 0 0 0 0 4 0 12 6 0 6 12 4 4 4 12 6 4 0 6 | 0 0 0 0 1 0 4 4 0 4 12 6 1 4 4 1 0 4 | 0 0 0 0 0 1 0 4 1 4 1 0 1 | * * * * 2 *
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