|
Acronym
|
dot (alt.: rapa)
|
|
Name
|
dodecateron,
birectified hexateron,
equatorial cross-section of (vertex first) 1/q-ax,
rap alterprism,
rap atop inverted rap,
vertex figure of mo,
Gosset polytope 02,2,
equatorial cross-section of hix-first hax
|
|
Field of sections
|
 ©
|
|
Circumradius
|
sqrt(3)/2 = 0.866025
|
|
Inradius
|
sqrt(3/20) = 0.387298
|
|
Vertex figure
|
 ©  ©
|
Lace city
in approx. ASCII-art
|
 ©
|
o o x o x o -- x3o3o o (tet)
x o o x x x x o o -- o3x3o x (ope)
o x o o o x -- o3o3x o (dual tet)
|
|
O t -- o3x3o3o (rap)
T O -- o3o3x3o (inv. rap)
where:
T = x3o3o (tet)
O = o3x3o (oct)
t = o3o3x (dual tet)
|
+-------------- x3o3o o (tet)
/ +-------- o3x3o x (ope)
/ / +-- o3o3x o (dual tet)
/ / /
o x3o x o3x o o3o -- o3x3o3o (rap)
o o3o x x3o o o3x -- o3o3x3o (inv. rap)
\ \ \ \
\ \ \ +-- o3o o3o (point)
\ \ +------- o3x o3x (triddip)
\ +------------ x3o x3o (bidual triddip)
+------------------- o3o o3o (point)
|
|
Coordinates
|
-
(1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 0, sqrt(3/8)) & any even change of signs
(dual pair of tip tets)
-
(1/sqrt(2), 0, 0, 1/2, 0) & all permutations in the first 3 coordinates, all changes of sign
(equatorial pseudo ope)
|
|
Volume
|
11 sqrt(3)/80 = 0.238157
|
|
Surface
|
11 sqrt(5)/8 = 3.074593
|
|
Colonel of regiment
|
(is itself locally convex
– uniform polyteral members:
)
|
Dihedral angles
(at margins)
|
- at oct between rap and rap: arccos(-1/5) = 101.536959°
- at tet between rap and rap: arccos(1/5) = 78.463041°
|
|
Dual
|
bidot
|
|
Face vector
|
20, 90, 120, 60, 12
|
|
Confer
|
- segmentotera:
-
triddippy
tridafup
tetcubedaw
teta ope
taope
teddot
- other CRFs:
-
teddot
- ambification:
-
sibrid
- general polytopal classes:
-
Wythoffian polytera
noble polytopes
segmentotera
fundamental lace prisms
lace simplices
Coxeter-Elte-Gosset polytopes
- analogs:
-
birectified simplex brSn
mid-rectified simplex mrSn
|
External
links
|
|
Aside: There is also a polyteron which likewise uses O, T, and t (cf. the 2nd lace city), but has an sharper angle at O:
the oct || hex. (That relation kind of is like cube to a pair of laterally adjoined trips,
with its q sized face diagonal versus an x sized true edge.)
As dot has edges connecting the opposite pair of octs, these clearly are missing in oct || hex.
Conversely, the structure of hex, except of the pair of opposite bases (tets), are missing in dot
(because those else would have to be joined by q-sized lacings) but occurs there for sure.
That equatorial ope however in here allows for its (there mentioned) tetra-diminishing: that is, the
antiparallelly aligned raps from the lace city of dot could be bidiminished each into
bidraps, however thereby aligning the omissions at the pair of octs (of that
diametral ope) orthogonally. Thus that pair of opposite bidraps not truely is
an mutually inverted pair, it rather is also gyrated into an alternate positioning wrt. that chosen oct-axes.
Although that tetra-diminishing of ope itself yielded free q-edges, its usage in here will result in a true
CRF, in teddot.
Incidence matrix according to Dynkin symbol
o3o3x3o3o
. . . . . | 20 ♦ 9 | 9 9 | 3 9 3 | 3 3
----------+----+----+-------+----------+----
. . x . . | 2 | 90 | 2 2 | 1 4 1 | 2 2
----------+----+----+-------+----------+----
. o3x . . | 3 | 3 | 60 * | 1 2 0 | 2 1
. . x3o . | 3 | 3 | * 60 | 0 2 1 | 1 2
----------+----+----+-------+----------+----
o3o3x . . ♦ 4 | 6 | 4 0 | 15 * * | 2 0
. o3x3o . ♦ 6 | 12 | 4 4 | * 30 * | 1 1
. . x3o3o ♦ 4 | 6 | 0 4 | * * 15 | 0 2
----------+----+----+-------+----------+----
o3o3x3o . ♦ 10 | 30 | 20 10 | 5 5 0 | 6 *
. o3x3o3o ♦ 10 | 30 | 10 20 | 0 5 5 | * 6
or
. . . . . | 20 ♦ 9 | 18 | 6 9 | 6
-------------+----+----+-----+-------+---
. . x . . | 2 | 90 | 4 | 2 4 | 4
-------------+----+----+-----+-------+---
. o3x . . & | 3 | 3 | 120 | 1 2 | 3
-------------+----+----+-----+-------+---
o3o3x . . & ♦ 4 | 6 | 4 | 30 * | 2
. o3x3o . ♦ 6 | 12 | 8 | * 30 | 2
-------------+----+----+-----+-------+---
o3o3x3o . & ♦ 10 | 30 | 30 | 5 5 | 12
o3/2o3x3o3o
. . . . . | 20 ♦ 9 | 9 9 | 3 9 3 | 3 3
------------+----+----+-------+----------+----
. . x . . | 2 | 90 | 2 2 | 1 4 1 | 2 2
------------+----+----+-------+----------+----
. o3x . . | 3 | 3 | 60 * | 1 2 0 | 2 1
. . x3o . | 3 | 3 | * 60 | 0 2 1 | 1 2
------------+----+----+-------+----------+----
o3/2o3x . . ♦ 4 | 6 | 4 0 | 15 * * | 2 0
. o3x3o . ♦ 6 | 12 | 4 4 | * 30 * | 1 1
. . x3o3o ♦ 4 | 6 | 0 4 | * * 15 | 0 2
------------+----+----+-------+----------+----
o3/2o3x3o . ♦ 10 | 30 | 20 10 | 5 5 0 | 6 *
. o3x3o3o ♦ 10 | 30 | 10 20 | 0 5 5 | * 6
oo3xo3ox3oo&#x → height = sqrt(3/5) = 0.774597
(rap || inv rap)
o.3o.3o.3o. | 10 * ♦ 6 3 0 | 3 6 6 3 0 0 | 3 2 3 6 1 0 0 | 1 3 2 0
.o3.o3.o3.o | * 10 ♦ 0 3 6 | 0 0 3 6 6 3 | 0 0 1 6 3 2 3 | 0 2 3 1
---------------+-------+----------+-------------------+------------------+--------
.. x. .. .. | 2 0 | 30 * * | 1 2 1 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0
oo3oo3oo3oo&#x | 1 1 | * 30 * | 0 0 2 2 0 0 | 0 0 1 4 1 0 0 | 0 2 2 0
.. .. .x .. | 0 2 | * * 30 | 0 0 0 1 2 1 | 0 0 0 2 1 1 2 | 0 1 2 1
---------------+-------+----------+-------------------+------------------+--------
o.3x. .. .. | 3 0 | 3 0 0 | 10 * * * * * | 2 0 1 0 0 0 0 | 1 2 0 0
.. x.3o. .. | 3 0 | 3 0 0 | * 20 * * * * | 1 1 0 1 0 0 0 | 1 1 1 0
.. xo .. ..&#x | 2 1 | 1 2 0 | * * 30 * * * | 0 0 1 2 0 0 0 | 0 2 1 0
.. .. ox ..&#x | 1 2 | 0 2 1 | * * * 30 * * | 0 0 0 2 1 0 0 | 0 1 2 0
.. .o3.x .. | 0 3 | 0 0 3 | * * * * 20 * | 0 0 0 1 0 1 1 | 0 1 1 1
.. .. .x3.o | 0 3 | 0 0 3 | * * * * * 10 | 0 0 0 0 1 0 2 | 0 0 2 1
---------------+-------+----------+-------------------+------------------+--------
o.3x.3o. .. ♦ 6 0 | 12 0 0 | 4 4 0 0 0 0 | 5 * * * * * * | 1 1 0 0
.. x.3o.3o. ♦ 4 0 | 6 0 0 | 0 4 0 0 0 0 | * 5 * * * * * | 1 0 1 0
oo3xo .. ..&#x ♦ 3 1 | 3 3 0 | 1 0 3 0 0 0 | * * 10 * * * * | 0 2 0 0
.. xo3ox ..&#x ♦ 3 3 | 3 6 3 | 0 1 3 3 1 0 | * * * 20 * * * | 0 1 1 0
.. .. ox3oo&#x ♦ 1 3 | 0 3 3 | 0 0 0 3 0 1 | * * * * 10 * * | 0 0 2 0
.o3.o3.x .. ♦ 0 4 | 0 0 6 | 0 0 0 0 4 0 | * * * * * 5 * | 0 1 0 1
.. .o3.x3.o ♦ 0 6 | 0 0 12 | 0 0 0 0 4 4 | * * * * * * 5 | 0 0 1 1
---------------+-------+----------+-------------------+------------------+--------
o.3x.3o.3o. ♦ 10 0 | 30 0 0 | 10 20 0 0 0 0 | 5 5 0 0 0 0 0 | 1 * * *
oo3xo3ox ..&#x ♦ 6 4 | 12 12 6 | 4 4 12 6 4 0 | 1 0 4 4 0 1 0 | * 5 * *
.. xo3ox3oo&#x ♦ 4 6 | 6 12 12 | 0 4 6 12 4 4 | 0 1 0 4 4 0 1 | * * 5 *
.o3.o3.x3.o ♦ 0 10 | 0 0 30 | 0 0 0 0 20 10 | 0 0 0 0 0 5 5 | * * * 1
or
o.3o.3o.3o. & | 20 ♦ 6 3 | 3 6 9 | 3 2 4 6 | 1 5
-----------------+----+-------+----------+-------------+-----
.. x. .. .. & | 2 | 60 * | 1 2 1 | 2 1 1 2 | 1 3
oo3oo3oo3oo&#x | 2 | * 30 | 0 0 4 | 0 0 2 4 | 0 4
-----------------+----+-------+----------+-------------+-----
o.3x. .. .. & | 3 | 3 0 | 20 * * | 2 0 1 0 | 1 2
.. x.3o. .. & | 3 | 3 0 | * 40 * | 1 1 0 1 | 1 2
.. xo .. ..&#x & | 3 | 1 2 | * * 60 | 0 0 1 2 | 0 3
-----------------+----+-------+----------+-------------+-----
o.3x.3o. .. & ♦ 6 | 12 0 | 4 4 0 | 10 * * * | 1 1
.. x.3o.3o. & ♦ 4 | 6 0 | 0 4 0 | * 10 * * | 1 1
oo3xo .. ..&#x & ♦ 4 | 3 3 | 1 0 3 | * * 20 * | 0 2
.. xo3ox ..&#x ♦ 6 | 6 6 | 0 2 6 | * * * 20 | 0 2
-----------------+----+-------+----------+-------------+-----
o.3x.3o.3o. & ♦ 10 | 30 0 | 10 20 0 | 5 5 0 0 | 2 *
oo3xo3ox ..&#x & ♦ 10 | 18 12 | 4 8 18 | 1 1 4 4 | * 10
oxoo3ooxo oxoo3ooxo&#xt → all heights = 1/sqrt(3) = 0.577350
(pt || pseudo triddip || pseudo bidual triddip || pt)
o...3o... o...3o... | 1 * * * ♦ 9 0 0 0 0 0 0 | 9 9 0 0 0 0 0 0 0 0 0 0 | 3 9 3 0 0 0 0 0 0 0 | 3 3 0 0
.o..3.o.. .o..3.o.. | * 9 * * ♦ 1 2 2 4 0 0 0 | 2 2 1 1 2 1 2 1 0 0 0 0 | 1 4 1 2 2 2 1 2 0 0 | 2 2 1 1
..o.3..o. ..o.3..o. | * * 9 * ♦ 0 0 0 4 2 2 1 | 0 0 0 0 2 4 2 4 1 1 2 2 | 0 1 0 2 2 2 4 2 1 1 | 1 1 2 2
...o3...o ...o3...o | * * * 1 ♦ 0 0 0 0 0 0 9 | 0 0 0 0 0 0 0 0 0 0 9 9 | 0 0 0 0 0 0 9 0 3 3 | 0 0 3 3
------------------------+---------+----------------+-----------------------------+---------------------+--------
oo..3oo.. oo..3oo..&#x | 1 1 0 0 | 9 * * * * * * | 2 2 0 0 0 0 0 0 0 0 0 0 | 1 4 1 0 0 0 0 0 0 0 | 2 2 0 0
.x.. .... .... .... | 0 2 0 0 | * 9 * * * * * | 1 0 1 0 2 0 0 0 0 0 0 0 | 1 2 0 2 1 0 0 0 0 0 | 2 1 1 0
.... .... .x.. .... | 0 2 0 0 | * * 9 * * * * | 0 1 0 1 0 0 2 0 0 0 0 0 | 0 2 1 0 0 1 0 2 0 0 | 1 2 0 1
.oo.3.oo. .oo.3.oo.&#x | 0 1 1 0 | * * * 36 * * * | 0 0 0 0 1 1 1 1 0 0 0 0 | 0 1 0 1 1 1 1 1 0 0 | 1 1 1 1
.... ..x. .... .... | 0 0 2 0 | * * * * 9 * * | 0 0 0 0 0 2 0 0 1 0 1 0 | 0 0 0 2 0 1 2 0 1 0 | 1 0 2 1
.... .... .... ..x. | 0 0 2 0 | * * * * * 9 * | 0 0 0 0 0 0 0 2 0 1 0 1 | 0 0 0 0 1 0 2 2 0 1 | 0 1 1 2
..oo3..oo ..oo3..oo&#x | 0 0 1 1 | * * * * * * 9 | 0 0 0 0 0 0 0 0 0 0 2 2 | 0 0 0 0 0 0 4 0 1 1 | 0 0 2 2
------------------------+---------+----------------+-----------------------------+---------------------+--------
ox.. .... .... ....&#x | 1 2 0 0 | 2 1 0 0 0 0 0 | 9 * * * * * * * * * * * | 1 2 0 0 0 0 0 0 0 0 | 2 1 0 0
.... .... ox.. ....&#x | 1 2 0 0 | 2 0 1 0 0 0 0 | * 9 * * * * * * * * * * | 0 2 1 0 0 0 0 0 0 0 | 1 2 0 0
.x..3.o.. .... .... | 0 3 0 0 | 0 3 0 0 0 0 0 | * * 3 * * * * * * * * * | 1 0 0 2 0 0 0 0 0 0 | 2 0 1 0
.... .... .x..3.o.. | 0 3 0 0 | 0 0 3 0 0 0 0 | * * * 3 * * * * * * * * | 0 0 1 0 0 0 0 2 0 0 | 0 2 0 1
.xo. .... .... ....&#x | 0 2 1 0 | 0 1 0 2 0 0 0 | * * * * 18 * * * * * * * | 0 1 0 1 1 0 0 0 0 0 | 1 1 1 0
.... .ox. .... ....&#x | 0 1 2 0 | 0 0 0 2 1 0 0 | * * * * * 18 * * * * * * | 0 0 0 1 0 1 1 0 0 0 | 1 0 1 1
.... .... .xo. ....&#x | 0 2 1 0 | 0 0 1 2 0 0 0 | * * * * * * 18 * * * * * | 0 1 0 0 0 1 0 1 0 0 | 1 1 0 1
.... .... .... .ox.&#x | 0 1 2 0 | 0 0 0 2 0 1 0 | * * * * * * * 18 * * * * | 0 0 0 0 1 0 1 1 0 0 | 0 1 1 1
..o.3..x. .... ... | 0 0 3 0 | 0 0 0 0 3 0 0 | * * * * * * * * 3 * * * | 0 0 0 1 0 0 0 0 1 0 | 1 0 2 0
.... .... ..o.3..x. | 0 0 3 0 | 0 0 0 0 0 3 0 | * * * * * * * * * 3 * * | 0 0 0 0 0 0 0 2 0 1 | 0 1 0 2
.... ..xo .... ....&#x | 0 0 2 1 | 0 0 0 0 1 0 2 | * * * * * * * * * * 9 * | 0 0 0 0 0 0 2 0 1 0 | 0 0 2 1
.... .... .... ..xo&#x | 0 0 2 1 | 0 0 0 0 0 1 2 | * * * * * * * * * * * 9 | 0 0 0 0 0 0 2 0 0 1 | 0 0 1 2
------------------------+---------+----------------+-----------------------------+---------------------+--------
ox..3oo.. .... ....&#x ♦ 1 3 0 0 | 3 3 0 0 0 0 0 | 3 0 1 0 0 0 0 0 0 0 0 0 | 3 * * * * * * * * * | 2 0 0 0
oxo. .... oxo. ....&#xt ♦ 1 4 1 0 | 4 2 2 4 0 0 0 | 2 2 0 0 2 0 2 0 0 0 0 0 | * 9 * * * * * * * * | 1 1 0 0
.... .... ox..3oo..&#x ♦ 1 3 0 0 | 3 0 3 0 0 0 0 | 0 3 0 1 0 0 0 0 0 0 0 0 | * * 3 * * * * * * * | 0 2 0 0
.xo.3.ox. .... ....&#x ♦ 0 3 3 0 | 0 3 0 6 3 0 0 | 0 0 1 0 3 3 0 0 1 0 0 0 | * * * 6 * * * * * * | 1 0 1 0
.xo. .... .... .ox.&#x ♦ 0 2 2 0 | 0 1 0 4 0 1 0 | 0 0 0 0 2 0 0 2 0 0 0 0 | * * * * 9 * * * * * | 0 1 1 0
.... .ox. .xo. ....&#x ♦ 0 2 2 0 | 0 0 1 4 1 0 0 | 0 0 0 0 0 2 2 0 0 0 0 0 | * * * * * 9 * * * * | 1 0 0 1
.... .oxo .... .oxo&#x ♦ 0 1 4 1 | 0 0 0 4 2 2 4 | 0 0 0 0 0 2 0 2 0 0 2 2 | * * * * * * 9 * * * | 0 0 1 1
.... .... .xo.3.ox.&#x ♦ 0 3 3 0 | 0 0 3 6 0 3 0 | 0 0 0 1 0 0 3 3 0 1 0 0 | * * * * * * * 6 * * | 0 1 0 1
..oo3..xo .... ....&#x ♦ 0 0 3 1 | 0 0 0 0 3 0 3 | 0 0 0 0 0 0 0 0 1 0 3 0 | * * * * * * * * 3 * | 0 0 0 2
.... .... ..oo3..xo&#x ♦ 0 0 3 1 | 0 0 0 0 0 3 3 | 0 0 0 0 0 0 0 0 0 1 0 3 | * * * * * * * * * 3 | 0 0 2 0
------------------------+---------+----------------+-----------------------------+---------------------+--------
oxo.3oox. oxo. ....&#xt ♦ 1 6 3 0 | 6 6 3 12 3 0 0 | 6 3 2 0 6 6 6 0 1 0 0 0 | 2 3 0 2 0 3 0 0 0 0 | 3 * * *
oxo. .... oxo.3oox.&#xt ♦ 1 6 3 0 | 6 3 6 12 0 3 0 | 3 6 0 2 6 0 6 6 0 1 0 0 | 0 3 2 0 3 0 0 2 0 0 | * 3 * *
.xoo3.oxo .... .oxo&#xt ♦ 0 3 6 1 | 0 3 0 12 6 3 6 | 0 0 1 0 6 6 0 6 2 0 6 3 | 0 0 0 2 3 0 3 0 0 2 | * * 3 *
.... .oxo .xoo3.oxo&#xt ♦ 0 3 6 1 | 0 0 3 12 3 6 6 | 0 0 0 1 0 6 6 6 0 2 3 6 | 0 0 0 0 0 3 3 2 2 0 | * * * 3
or
o...3o... o...3o... & | 2 * ♦ 9 0 0 0 | 9 9 0 0 0 0 | 3 9 3 0 0 0 | 3 3
.o..3.o.. .o..3.o.. & | * 18 ♦ 1 2 2 4 | 2 2 1 1 6 6 | 1 5 1 4 2 2 | 3 3
--------------------------+------+-------------+-----------------+---------------+----
oo..3oo.. oo..3oo..&#x & | 1 1 | 18 * * * | 2 2 0 0 0 0 | 1 4 1 0 0 0 | 2 2
.x.. .... .... .... & | 0 2 | * 18 * * | 1 0 1 0 2 0 | 1 2 0 2 1 0 | 2 2
.... .... .x.. .... & | 0 2 | * * 18 * | 0 1 0 1 0 2 | 0 2 1 2 0 1 | 2 2
.oo.3.oo. .oo.3.oo.&#x | 0 2 | * * * 36 | 0 0 0 0 2 2 | 0 2 0 2 1 1 | 2 2
--------------------------+------+-------------+-----------------+---------------+----
ox.. .... .... ....&#x & | 1 2 | 2 1 0 0 | 18 * * * * * | 1 2 0 0 0 0 | 2 1
.... .... ox.. ....&#x & | 1 2 | 2 0 1 0 | * 18 * * * * | 0 2 1 0 0 0 | 1 2
.x..3.o.. .... .... & | 0 3 | 0 3 0 0 | * * 6 * * * | 1 0 0 2 0 0 | 2 1
.... .... .x..3.o.. & | 0 3 | 0 0 3 0 | * * * 6 * * | 0 0 1 2 0 0 | 1 2
.xo. .... .... ....&#x & | 0 3 | 0 1 0 2 | * * * * 36 * | 0 1 0 1 1 0 | 1 2
.... .ox. .... ....&#x & | 0 3 | 0 0 1 2 | * * * * * 36 | 0 1 0 1 0 1 | 2 1
--------------------------+------+-------------+-----------------+---------------+----
ox..3oo.. .... ....&#x & ♦ 1 3 | 3 3 0 0 | 3 0 1 0 0 0 | 6 * * * * * | 2 0
oxo. .... oxo. ....&#xt & ♦ 1 5 | 4 2 2 4 | 2 2 0 0 2 2 | * 18 * * * * | 1 1
.... .... ox..3oo..&#x & ♦ 1 3 | 3 0 3 0 | 0 3 0 1 0 0 | * * 6 * * * | 0 2
.xo.3.ox. .... ....&#x & ♦ 0 6 | 0 3 3 6 | 0 0 1 1 3 3 | * * * 12 * * | 1 1
.xo. .... .... .ox.&#x ♦ 0 4 | 0 2 0 4 | 0 0 0 0 4 0 | * * * * 9 * | 2 0
.... .ox. .xo. ....&#x ♦ 0 4 | 0 0 2 4 | 0 0 0 0 0 4 | * * * * * 9 | 0 2
--------------------------+------+-------------+-----------------+---------------+----
oxo.3oox. oxo. ....&#xt & ♦ 1 9 | 6 6 6 12 | 6 3 2 1 6 12 | 2 3 0 2 3 0 | 6 *
oxo. .... oxo.3oox.&#xt & ♦ 1 9 | 6 6 6 12 | 3 6 1 2 12 6 | 0 3 2 2 0 3 | * 6
or
o...3o... o...3o... | 1 * * * ♦ 9 0 0 0 0 | 18 0 0 0 0 0 | 6 9 0 0 0 0 | 6 0
.o..3.o.. .o..3.o.. | * 9 * * ♦ 1 4 4 0 0 | 4 2 8 4 0 0 | 2 4 4 4 1 0 | 4 2
..o.3..o. ..o.3..o. | * * 9 * ♦ 0 0 4 4 1 | 0 0 4 8 2 4 | 0 1 4 4 4 2 | 2 4
...o3...o ...o3...o | * * * 1 ♦ 0 0 0 0 9 | 0 0 0 0 0 18 | 0 0 0 0 9 6 | 0 6
--------------------------+---------+--------------+-----------------+---------------+----
oo..3oo.. oo..3oo..&#x | 1 1 0 0 | 9 * * * * | 4 0 0 0 0 0 | 2 4 0 0 0 0 | 4 0
.x.. .... .... .... & | 0 2 0 0 | * 18 * * * | 1 1 2 0 0 0 | 1 2 2 1 0 0 | 3 1
.oo.3.oo. .oo.3.oo.&#x | 0 1 1 0 | * * 36 * * | 0 0 2 2 0 0 | 0 1 2 2 1 0 | 2 2
.... ..x. .... .... & | 0 0 2 0 | * * * 18 * | 0 0 0 2 1 1 | 0 0 2 1 2 1 | 1 3
..oo3..oo ..oo3..oo&#x | 0 0 1 1 | * * * * 9 | 0 0 0 0 0 4 | 0 0 0 0 4 2 | 0 4
--------------------------+---------+--------------+-----------------+---------------+----
ox.. .... .... ....&#x & | 1 2 0 0 | 2 1 0 0 0 | 18 * * * * * | 1 2 0 0 0 0 | 3 0
.x..3.o.. .... .... & | 0 3 0 0 | 0 3 0 0 0 | * 6 * * * * | 1 0 0 2 0 0 | 2 1
.xo. .... .... ....&#x & | 0 2 1 0 | 0 1 2 0 0 | * * 36 * * * | 0 1 1 1 0 0 | 2 1
.... .ox. .... ....&#x & | 0 1 2 0 | 0 0 2 1 0 | * * * 36 * * | 0 0 1 1 1 0 | 1 2
..o.3..x. .... ... & | 0 0 3 0 | 0 0 0 3 0 | * * * * 6 * | 0 0 2 0 0 1 | 1 2
.... ..xo .... ....&#x & | 0 0 2 1 | 0 0 0 1 2 | * * * * * 18 | 0 0 0 0 2 1 | 0 3
--------------------------+---------+--------------+-----------------+---------------+----
ox..3oo.. .... ....&#x & ♦ 1 3 0 0 | 3 3 0 0 0 | 3 1 0 0 0 0 | 6 * * * * * | 2 0
oxo. .... oxo. ....&#xt ♦ 1 4 1 0 | 4 4 4 0 0 | 4 0 4 0 0 0 | * 9 * * * * | 2 0
.xo.3.ox. .... ....&#x & ♦ 0 3 3 0 | 0 3 6 3 0 | 0 1 3 3 1 0 | * * 12 * * * | 1 1
.xo. .... .... .ox.&#x & ♦ 0 2 2 0 | 0 1 4 1 0 | 0 0 2 2 0 0 | * * * 18 * * | 1 1
.... .oxo .... .oxo&#x ♦ 0 1 4 1 | 0 0 4 4 4 | 0 0 0 4 0 4 | * * * * 9 * | 0 2
..oo3..xo .... ....&#x & ♦ 0 0 3 1 | 0 0 0 3 3 | 0 0 0 0 1 3 | * * * * * 6 | 0 2
--------------------------+---------+--------------+-----------------+---------------+----
oxo.3oox. oxo. ....&#xt & ♦ 1 6 3 0 | 6 9 12 3 0 | 9 2 12 6 1 0 | 2 3 2 3 0 0 | 6 *
.xoo3.oxo .... .oxo&#xt & ♦ 0 3 6 1 | 0 3 12 9 6 | 0 1 6 12 2 9 | 0 0 2 3 3 2 | * 6
or
o...3o... o...3o... & | 2 * ♦ 9 0 0 | 18 0 0 | 6 9 0 0 | 6
.o..3.o.. .o..3.o.. & | * 18 ♦ 1 4 4 | 4 2 12 | 2 5 4 4 | 6
--------------------------+------+----------+----------+-------------+---
oo..3oo.. oo..3oo..&#x & | 1 1 | 18 * * | 4 0 0 | 2 4 0 0 | 4
.x.. .... .... .... & | 0 2 | * 36 * | 1 1 2 | 1 2 2 1 | 4
.oo.3.oo. .oo.3.oo.&#x & | 0 2 | * * 36 | 0 0 4 | 0 2 2 2 | 4
--------------------------+------+----------+----------+-------------+---
ox.. .... .... ....&#x & | 1 2 | 2 1 0 | 36 * * | 1 2 0 0 | 3
.x..3.o.. .... .... & | 0 3 | 0 3 0 | * 12 * | 1 0 2 0 | 3
.xo. .... .... ....&#x & | 0 3 | 0 1 2 | * * 72 | 0 1 1 1 | 3
--------------------------+------+----------+----------+-------------+---
ox..3oo.. .... ....&#x & ♦ 1 3 | 3 3 0 | 3 1 0 | 12 * * * | 2
oxo. .... oxo. ....&#xt & ♦ 1 5 | 4 4 4 | 4 0 4 | * 18 * * | 2
.xo.3.ox. .... ....&#x & ♦ 0 6 | 0 6 6 | 0 2 6 | * * 12 * | 2
.xo. .... .... .ox.&#x & ♦ 0 4 | 0 2 4 | 0 0 4 | * * * 18 | 2
--------------------------+------+----------+----------+-------------+---
oxo.3oox. oxo. ....&#xt & ♦ 1 9 | 6 12 12 | 9 3 18 | 2 3 2 3 | 12
oxo xoo3oxo3oox&#xt → both heights = sqrt(3/8) = 0.612372
(tet || pseudo ope || dual tet)
o.. o..3o..3o.. | 4 * * ♦ 3 6 0 0 0 0 | 3 3 6 6 0 0 0 0 0 0 | 1 3 6 2 3 0 0 0 0 0 | 2 3 1 0
.o. .o.3.o.3.o. | * 12 * ♦ 0 2 1 4 2 0 | 0 2 1 4 2 2 2 4 1 0 | 0 1 2 2 4 1 1 2 2 0 | 1 2 2 1
..o ..o3..o3..o | * * 4 ♦ 0 0 0 0 6 3 | 0 0 0 0 0 0 3 6 6 3 | 0 0 0 0 3 0 3 2 6 1 | 0 1 3 2
--------------------+--------+----------------+---------------------------+----------------------+--------
... x.. ... ... | 2 0 0 | 6 * * * * * | 2 0 2 0 0 0 0 0 0 0 | 1 1 4 0 0 0 0 0 0 0 | 2 2 0 0
oo. oo.3oo.3oo.&#x | 1 1 0 | * 24 * * * * | 0 1 1 2 0 0 0 0 0 0 | 0 1 2 1 2 0 0 0 0 0 | 1 2 1 0
.x. ... ... ... | 0 2 0 | * * 6 * * * | 0 2 0 0 0 0 2 0 0 0 | 0 1 0 0 4 0 1 0 0 0 | 0 2 2 0
... ... .x. ... | 0 2 0 | * * * 24 * * | 0 0 0 1 1 1 0 1 0 0 | 0 0 1 1 1 1 0 1 1 0 | 1 1 1 1
.oo .oo3.oo3.oo&#x | 0 1 1 | * * * * 24 * | 0 0 0 0 0 0 1 2 1 0 | 0 0 0 0 2 0 1 1 2 0 | 0 1 2 1
... ... ... ..x | 0 0 2 | * * * * * 6 | 0 0 0 0 0 0 0 0 2 2 | 0 0 0 0 0 0 1 0 4 1 | 0 0 2 2
--------------------+--------+----------------+---------------------------+----------------------+--------
... x..3o.. ... | 3 0 0 | 3 0 0 0 0 0 | 4 * * * * * * * * * | 1 0 2 0 0 0 0 0 0 0 | 2 1 0 0
ox. ... ... ...&#x | 1 2 0 | 0 2 1 0 0 0 | * 12 * * * * * * * * | 0 1 0 0 2 0 0 0 0 0 | 0 2 1 0
... xo. ... ...&#x | 2 1 0 | 1 2 0 0 0 0 | * * 12 * * * * * * * | 0 1 2 0 0 0 0 0 0 0 | 1 2 0 0
... ... ox. ...&#x | 1 2 0 | 0 2 0 1 0 0 | * * * 24 * * * * * * | 0 0 1 1 1 0 0 0 0 0 | 1 1 1 0
... .o.3.x. ... | 0 3 0 | 0 0 0 3 0 0 | * * * * 8 * * * * * | 0 0 1 0 0 1 0 1 0 0 | 1 1 0 1
... ... .x.3.o. | 0 3 0 | 0 0 0 3 0 0 | * * * * * 8 * * * * | 0 0 0 1 0 1 0 0 1 0 | 1 0 1 1
.xo ... ... ...&#x | 0 2 1 | 0 0 1 0 2 0 | * * * * * * 12 * * * | 0 0 0 0 2 0 1 0 0 0 | 0 1 2 0
... ... .xo ...&#x | 0 2 1 | 0 0 0 1 2 0 | * * * * * * * 24 * * | 0 0 0 0 1 0 0 1 1 0 | 0 1 1 1
... ... ... .ox&#x | 0 1 2 | 0 0 0 0 2 1 | * * * * * * * * 12 * | 0 0 0 0 0 0 1 0 2 0 | 0 0 2 1
... ... ..o3..x | 0 0 3 | 0 0 0 0 0 3 | * * * * * * * * * 4 | 0 0 0 0 0 0 0 0 2 1 | 0 0 1 2
--------------------+--------+----------------+---------------------------+----------------------+--------
... x..3o..3o.. ♦ 4 0 0 | 6 0 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * | 2 0 0 0
ox. xo. ... ...&#x ♦ 2 2 0 | 1 4 1 0 0 0 | 0 2 2 0 0 0 0 0 0 0 | * 6 * * * * * * * * | 0 2 0 0
... xo.3ox. ...&#x ♦ 3 3 0 | 3 6 0 3 0 0 | 1 0 3 3 1 0 0 0 0 0 | * * 8 * * * * * * * | 1 1 0 0
... ... ox.3oo.&#x ♦ 1 3 0 | 0 3 0 3 0 0 | 0 0 0 3 0 1 0 0 0 0 | * * * 8 * * * * * * | 1 0 1 0
oxo ... oxo ...&#xt ♦ 1 4 1 | 0 4 2 2 4 0 | 0 2 0 2 0 0 2 2 0 0 | * * * * 12 * * * * * | 0 1 1 0
... .o.3.x.3.o. ♦ 0 6 0 | 0 0 0 12 0 0 | 0 0 0 0 4 4 0 0 0 0 | * * * * * 2 * * * * | 1 0 0 1
.xo ... ... .ox&#x ♦ 0 2 2 | 0 0 1 0 4 1 | 0 0 0 0 0 0 2 0 2 0 | * * * * * * 6 * * * | 0 0 2 0
... .oo3.xo ...&#x ♦ 0 3 1 | 0 0 0 3 3 0 | 0 0 0 0 1 0 0 3 0 0 | * * * * * * * 8 * * | 0 1 0 1
... ... .xo3.ox&#x ♦ 0 3 3 | 0 0 0 3 6 3 | 0 0 0 0 0 1 0 3 3 1 | * * * * * * * * 8 * | 0 0 1 1
... ..o3..o3..x ♦ 0 0 4 | 0 0 0 0 0 6 | 0 0 0 0 0 0 0 0 0 4 | * * * * * * * * * 1 | 0 0 0 2
--------------------+--------+----------------+---------------------------+----------------------+--------
... xo.3ox.3oo.&#x ♦ 4 6 0 | 6 12 0 12 0 0 | 4 0 6 12 4 4 0 0 0 0 | 1 0 4 4 0 1 0 0 0 0 | 2 * * *
oxo xoo3oxo ...&#xt ♦ 3 6 1 | 3 12 3 6 6 0 | 1 6 6 6 2 0 3 6 0 0 | 0 3 2 0 3 0 0 2 0 0 | * 4 * *
oxo ... oxo3oox&#xt ♦ 1 6 3 | 0 6 3 6 12 3 | 0 3 0 6 0 2 6 6 6 1 | 0 0 0 2 3 0 3 0 2 0 | * * 4 *
... .oo3.xo3.ox&#x ♦ 0 6 4 | 0 0 0 12 12 6 | 0 0 0 0 4 4 0 12 6 4 | 0 0 0 0 0 1 0 4 4 1 | * * * 2
or
o.. o..3o..3o.. & | 8 * ♦ 3 6 0 0 | 3 3 6 6 0 | 1 3 6 2 3 0 | 2 4
.o. .o.3.o.3.o. | * 12 ♦ 0 4 1 4 | 0 4 2 8 4 | 0 2 4 4 4 1 | 2 4
----------------------+------+------------+---------------+-----------------+----
... x.. ... ... & | 2 0 | 12 * * * | 2 0 2 0 0 | 1 1 4 0 0 0 | 2 2
oo. oo.3oo.3oo.&#x & | 1 1 | * 48 * * | 0 1 1 2 0 | 0 1 2 1 2 0 | 1 3
.x. ... ... ... | 0 2 | * * 6 * | 0 4 0 0 0 | 0 2 0 0 4 0 | 0 4
... ... .x. ... | 0 2 | * * * 24 | 0 0 0 2 2 | 0 0 2 2 1 1 | 2 2
----------------------+------+------------+---------------+-----------------+----
... x..3o.. ... & | 3 0 | 3 0 0 0 | 8 * * * * | 1 0 2 0 0 0 | 2 1
ox. ... ... ...&#x & | 1 2 | 0 2 1 0 | * 24 * * * | 0 1 0 0 2 0 | 0 3
... xo. ... ...&#x & | 2 1 | 1 2 0 0 | * * 24 * * | 0 1 2 0 0 0 | 1 2
... ... ox. ...&#x & | 1 2 | 0 2 0 1 | * * * 48 * | 0 0 1 1 1 0 | 1 2
... .o.3.x. ... & | 0 3 | 0 0 0 3 | * * * * 16 | 0 0 1 1 0 1 | 2 1
----------------------+------+------------+---------------+-----------------+----
... x..3o..3o.. & ♦ 4 0 | 6 0 0 0 | 4 0 0 0 0 | 2 * * * * * | 2 0
ox. xo. ... ...&#x & ♦ 2 2 | 1 4 1 0 | 0 2 2 0 0 | * 12 * * * * | 0 2
... xo.3ox. ...&#x & ♦ 3 3 | 3 6 0 3 | 1 0 3 3 1 | * * 16 * * * | 1 1
... ... ox.3oo.&#x & ♦ 1 3 | 0 3 0 3 | 0 0 0 3 1 | * * * 16 * * | 1 1
oxo ... oxo ...&#xt ♦ 2 4 | 0 8 2 2 | 0 4 0 4 0 | * * * * 12 * | 0 2
... .o.3.x.3.o. ♦ 0 6 | 0 0 0 12 | 0 0 0 0 8 | * * * * * 2 | 2 0
----------------------+------+------------+---------------+-----------------+----
... xo.3ox.3oo.&#x & ♦ 4 6 | 6 12 0 12 | 4 0 6 12 8 | 1 0 4 4 0 1 | 4 *
oxo xoo3oxo ...&#xt & ♦ 4 6 | 3 18 3 6 | 1 9 6 12 2 | 0 3 2 2 3 0 | * 8
oxoo3xoxo3ooox&#xr → all heigths = sqrt(5/8) = 0.790569
(oct || pseudo q-laced (tet || dual tet) || oct)
o...3o...3o... | 6 * * * ♦ 4 2 1 2 0 0 0 0 0 | 2 2 1 4 4 1 2 2 0 0 0 0 0 0 0 0 | 1 2 2 2 2 1 1 4 0 0 0 0 0 0 0 | 1 1 2 2 0 0
.o..3.o..3.o.. | * 4 * * ♦ 0 3 0 0 3 3 0 0 0 | 0 0 3 3 0 0 3 0 3 3 3 0 0 0 0 0 | 0 3 1 0 0 3 0 3 1 3 1 0 0 0 0 | 1 0 3 1 1 0
..o.3..o.3..o. | * * 6 * ♦ 0 0 1 0 0 2 4 2 0 | 0 0 0 0 0 0 2 2 0 1 4 2 2 4 1 0 | 0 0 0 0 0 1 1 4 0 2 2 1 2 2 0 | 0 0 2 2 1 1
...o3...o3...o | * * * 4 ♦ 0 0 0 3 0 0 0 3 3 | 0 0 0 0 3 3 0 3 0 0 0 0 0 3 3 3 | 0 0 0 1 3 0 3 3 0 0 0 0 1 3 1 | 0 1 1 3 0 1
-------------------+---------+-------------------------+---------------------------------------+--------------------------------+------------
.... x... .... | 2 0 0 0 | 12 * * * * * * * * | 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 | 1 1 1 1 0 0
oo..3oo..3oo..&#x | 1 1 0 0 | * 12 * * * * * * * | 0 0 1 2 0 0 1 0 0 0 0 0 0 0 0 0 | 0 2 1 0 0 1 0 2 0 0 0 0 0 0 0 | 1 0 2 1 0 0
o.o.3o.o.3o.o.&#x | 1 0 1 0 | * * 6 * * * * * * | 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 | 0 0 0 0 0 1 1 4 0 0 0 0 0 0 0 | 0 0 2 2 0 0
o..o3o..o3o..o&#x | 1 0 0 1 | * * * 12 * * * * * | 0 0 0 0 2 1 0 1 0 0 0 0 0 0 0 0 | 0 0 0 1 2 0 1 2 0 0 0 0 0 0 0 | 0 1 1 2 0 0
.x.. .... .... | 0 2 0 0 | * * * * 6 * * * * | 0 0 1 0 0 0 0 0 2 1 0 0 0 0 0 0 | 0 2 0 0 0 1 0 0 1 2 0 0 0 0 0 | 1 0 2 0 1 0
.oo.3.oo.3.oo.&#x | 0 1 1 0 | * * * * * 12 * * * | 0 0 0 0 0 0 1 0 0 1 2 0 0 0 0 0 | 0 0 0 0 0 1 0 2 0 2 1 0 0 0 0 | 0 0 2 1 1 0
.... ..x. .... | 0 0 2 0 | * * * * * * 12 * * | 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 | 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 | 0 0 1 1 1 1
..oo3..oo3..oo&#x | 0 0 1 1 | * * * * * * * 12 * | 0 0 0 0 0 0 0 1 0 0 0 0 0 2 1 0 | 0 0 0 0 0 0 1 2 0 0 0 0 1 2 0 | 0 0 1 2 0 1
.... .... ...x | 0 0 0 2 | * * * * * * * * 6 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 | 0 0 0 0 2 0 1 0 0 0 0 0 0 2 1 | 0 1 0 2 0 1
-------------------+---------+-------------------------+---------------------------------------+--------------------------------+------------
o...3x... .... | 3 0 0 0 | 3 0 0 0 0 0 0 0 0 | 4 * * * * * * * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
.... x...3o... | 3 0 0 0 | 3 0 0 0 0 0 0 0 0 | * 4 * * * * * * * * * * * * * * | 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0
ox.. .... ....&#x | 1 2 0 0 | 0 2 0 0 1 0 0 0 0 | * * 6 * * * * * * * * * * * * * | 0 2 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1 0 2 0 0 0
.... xo.. ....&#x | 2 1 0 0 | 1 2 0 0 0 0 0 0 0 | * * * 12 * * * * * * * * * * * * | 0 1 1 0 0 0 0 1 0 0 0 0 0 0 0 | 1 0 1 1 0 0
.... x..o ....&#x | 2 0 0 1 | 1 0 0 2 0 0 0 0 0 | * * * * 12 * * * * * * * * * * * | 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 | 0 1 1 1 0 0
.... .... o..x&#x | 1 0 0 2 | 0 0 0 2 0 0 0 0 0 | * * * * * 6 * * * * * * * * * * | 0 0 0 0 2 0 1 0 0 0 0 0 0 0 0 | 0 1 0 2 0 0
ooo.3ooo.3ooo.&#x | 1 1 1 0 | 0 1 1 0 0 1 0 0 0 | * * * * * * 12 * * * * * * * * * | 0 0 0 0 0 1 0 2 0 0 0 0 0 0 0 | 0 0 2 1 0 0
o.oo3o.oo3o.oo&#x | 1 0 1 1 | 0 0 1 1 0 0 0 1 0 | * * * * * * * 12 * * * * * * * * | 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 | 0 0 1 2 0 0
.x..3.o.. .... | 0 3 0 0 | 0 0 0 0 3 0 0 0 0 | * * * * * * * * 4 * * * * * * * | 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 | 1 0 1 0 1 0
.xo. .... ....&#x | 0 2 1 0 | 0 0 0 0 1 2 0 0 0 | * * * * * * * * * 6 * * * * * * | 0 0 0 0 0 1 0 0 0 2 0 0 0 0 0 | 0 0 2 0 1 0
.... .ox. ....&#x | 0 1 2 0 | 0 0 0 0 0 2 1 0 0 | * * * * * * * * * * 12 * * * * * | 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 1 1 0
..o.3..x. .... | 0 0 3 0 | 0 0 0 0 0 0 3 0 0 | * * * * * * * * * * * 4 * * * * | 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 | 0 0 1 0 1 1
.... ..x.3..o. | 0 0 3 0 | 0 0 0 0 0 0 3 0 0 | * * * * * * * * * * * * 4 * * * | 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 | 0 0 0 1 1 1
.... ..xo ....&#x | 0 0 2 1 | 0 0 0 0 0 0 1 2 0 | * * * * * * * * * * * * * 12 * * | 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 1 0 1
.... .... ..ox&#x | 0 0 1 2 | 0 0 0 0 0 0 0 2 1 | * * * * * * * * * * * * * * 6 * | 0 0 0 0 0 0 1 0 0 0 0 0 0 2 0 | 0 0 0 2 0 1
.... ...o3...x | 0 0 0 3 | 0 0 0 0 0 0 0 0 3 | * * * * * * * * * * * * * * * 4 | 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 | 0 1 0 1 0 1
-------------------+---------+-------------------------+---------------------------------------+--------------------------------+------------
o...3x...3o... ♦ 6 0 0 0 | 12 0 0 0 0 0 0 0 0 | 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * | 1 1 0 0 0 0
ox..3xo.. ....&#x ♦ 3 3 0 0 | 3 6 0 0 3 0 0 0 0 | 1 0 3 3 0 0 0 0 1 0 0 0 0 0 0 0 | * 4 * * * * * * * * * * * * * | 1 0 1 0 0 0
.... xo..3oo..&#x ♦ 3 1 0 0 | 3 3 0 0 0 0 0 0 0 | 0 1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 | * * 4 * * * * * * * * * * * * | 1 0 0 1 0 0
o..o3x..o ....&#x ♦ 3 0 0 1 | 3 0 0 3 0 0 0 0 0 | 1 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 | * * * 4 * * * * * * * * * * * | 0 1 1 0 0 0
.... x..o3o..x&#x ♦ 3 0 0 3 | 3 0 0 6 0 0 0 0 3 | 0 1 0 0 3 3 0 0 0 0 0 0 0 0 0 1 | * * * * 4 * * * * * * * * * * | 0 1 0 1 0 0
oxo. .... ....&#x ♦ 1 2 1 0 | 0 2 1 0 1 2 0 0 0 | 0 0 1 0 0 0 2 0 0 1 0 0 0 0 0 0 | * * * * * 6 * * * * * * * * * | 0 0 2 0 0 0
.... .... o.ox&#x ♦ 1 0 1 2 | 0 0 1 2 0 0 0 2 1 | 0 0 0 0 0 1 0 2 0 0 0 0 0 0 1 0 | * * * * * * 6 * * * * * * * * | 0 0 0 2 0 0
.... xoxo ....&#xr ♦ 2 1 2 1 | 1 2 2 2 0 2 1 2 0 | 0 0 0 1 1 0 2 2 0 0 1 0 0 1 0 0 | * * * * * * * 12 * * * * * * * | 0 0 1 1 0 0
.x..3.o..3.o.. ♦ 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 | * * * * * * * * 1 * * * * * * | 1 0 0 0 1 0
.xo.3.ox. ....&#x ♦ 0 3 3 0 | 0 0 0 0 3 6 3 0 0 | 0 0 0 0 0 0 0 0 1 3 3 1 0 0 0 0 | * * * * * * * * * 4 * * * * * | 0 0 1 0 1 0
.... .ox.3.oo.&#x ♦ 0 1 3 0 | 0 0 0 0 0 3 3 0 0 | 0 0 0 0 0 0 0 0 0 0 3 0 1 0 0 0 | * * * * * * * * * * 4 * * * * | 0 0 0 1 1 0
..o.3..x.3..o. ♦ 0 0 6 0 | 0 0 0 0 0 0 12 0 0 | 0 0 0 0 0 0 0 0 0 0 0 4 4 0 0 0 | * * * * * * * * * * * 1 * * * | 0 0 0 0 1 1
..oo3..xo ....&#x ♦ 0 0 3 1 | 0 0 0 0 0 0 3 3 0 | 0 0 0 0 0 0 0 0 0 0 0 1 0 3 0 0 | * * * * * * * * * * * * 4 * * | 0 0 1 0 0 1
.... ..xo3..ox&#x ♦ 0 0 3 3 | 0 0 0 0 0 0 3 6 3 | 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 1 | * * * * * * * * * * * * * 4 * | 0 0 0 1 0 1
...o3...o3...x ♦ 0 0 0 4 | 0 0 0 0 0 0 0 0 6 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 | * * * * * * * * * * * * * * 1 | 0 1 0 0 0 1
-------------------+---------+-------------------------+---------------------------------------+--------------------------------+------------
ox..3xo..3oo..&#x ♦ 6 4 0 0 | 12 12 0 0 6 0 0 0 0 | 4 4 6 12 0 0 0 0 4 0 0 0 0 0 0 0 | 1 4 4 0 0 0 0 0 1 0 0 0 0 0 0 | 1 * * * * *
o..o3x..o3o..x&#x ♦ 6 0 0 4 | 12 0 0 12 0 0 0 0 6 | 4 4 0 0 12 6 0 0 0 0 0 0 0 0 0 4 | 1 0 0 4 4 0 0 0 0 0 0 0 0 0 1 | * 1 * * * *
oxoo3xoxo ....&#xr ♦ 3 3 3 1 | 3 6 3 3 3 6 3 3 0 | 1 0 3 3 3 0 6 3 1 3 3 1 0 3 0 0 | 0 1 0 1 0 3 0 3 0 1 0 0 1 0 0 | * * 4 * * *
.... xoxo3ooox&#xr ♦ 3 1 3 3 | 3 3 3 6 0 3 3 6 3 | 0 1 0 3 3 3 3 6 0 0 3 0 1 3 3 1 | 0 0 1 0 1 0 3 3 0 0 1 0 0 1 0 | * * * 4 * *
.xo.3.ox.3.oo.&#x ♦ 0 4 6 0 | 0 0 0 0 6 12 12 0 0 | 0 0 0 0 0 0 0 0 4 6 12 4 4 0 0 0 | 0 0 0 0 0 0 0 0 1 4 4 1 0 0 0 | * * * * 1 *
..oo3..xo3..ox&#x ♦ 0 0 6 4 | 0 0 0 0 0 0 12 12 6 | 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 1 4 4 1 | * * * * * 1
or
o...3o...3o... & | 12 * ♦ 4 4 1 0 | 2 2 2 8 4 0 | 1 4 4 2 4 0 | 2 4
.o..3.o..3.o.. & | * 8 ♦ 0 6 0 3 | 0 0 6 6 3 3 | 0 6 2 3 3 1 | 2 4
----------------------+------+------------+----------------+-----------------+----
.... x... .... & | 2 0 | 24 * * * | 1 1 0 2 0 0 | 1 2 2 0 1 0 | 2 2
oo..3oo..3oo..&#x & | 1 1 | * 48 * * | 0 0 1 2 1 0 | 0 2 1 1 2 0 | 1 3
o.o.3o.o.3o.o.&#x | 2 0 | * * 6 * | 0 0 0 0 4 0 | 0 0 0 2 4 0 | 0 4
.x.. .... .... & | 0 2 | * * * 12 | 0 0 2 0 0 2 | 0 4 0 1 0 1 | 2 2
----------------------+------+------------+----------------+-----------------+----
o...3x... .... & | 3 0 | 3 0 0 0 | 8 * * * * * | 1 2 0 0 0 0 | 2 1
.... x...3o... & | 3 0 | 3 0 0 0 | * 8 * * * * | 1 0 2 0 0 0 | 2 1
ox.. .... ....&#x & | 1 2 | 0 2 0 1 | * * 24 * * * | 0 2 0 1 0 0 | 1 2
.... xo.. ....&#x & | 2 1 | 1 2 0 0 | * * * 48 * * | 0 1 1 0 1 0 | 1 2
ooo.3ooo.3ooo.&#x & | 2 1 | 0 2 1 0 | * * * * 24 * | 0 0 0 1 2 0 | 0 3
.x..3.o.. .... & | 0 3 | 0 0 0 3 | * * * * * 8 | 0 2 0 0 0 1 | 2 1
----------------------+------+------------+----------------+-----------------+----
o...3x...3o... & ♦ 6 0 | 12 0 0 0 | 4 4 0 0 0 0 | 2 * * * * * | 2 0
ox..3xo.. ....&#x & ♦ 3 3 | 3 6 0 3 | 1 0 3 3 0 1 | * 16 * * * * | 1 1
.... xo..3oo..&#x & ♦ 3 1 | 3 3 0 0 | 0 1 0 3 0 0 | * * 16 * * * | 1 1
oxo. .... ....&#x & ♦ 2 2 | 0 4 1 1 | 0 0 2 0 2 0 | * * * 12 * * | 0 2
.... xoxo ....&#xr ♦ 4 2 | 2 8 2 0 | 0 0 0 4 4 0 | * * * * 12 * | 0 2
.x..3.o..3.o.. & ♦ 0 4 | 0 0 0 6 | 0 0 0 0 0 4 | * * * * * 2 | 2 0
----------------------+------+------------+----------------+-----------------+----
ox..3xo..3oo..&#x & ♦ 6 4 | 12 12 0 6 | 4 4 6 12 0 4 | 1 4 4 0 0 1 | 4 *
oxoo3xoxo ....&#xr & ♦ 6 4 | 6 18 3 3 | 1 1 6 12 9 1 | 0 2 2 3 3 0 | * 8