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Acronym
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mo
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Name
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pentacontitetrapeton,
chrysopeton,
Gosset polypeton 12,2,
vertex figure of jakoh,
lattice E6 contact polytope (span of its roots),
equatorial cross-section of jak-first laq
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Circumradius
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1
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Inradius
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sqrt(3/8) = 0.612372
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Lace city
in approx. ASCII-art
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E O -- x3o3o *b3o3o (hin)
X I X -- o3o3o *b3x3o (rat)
O E -- o3o3x *b3o3o (alt. hin)
where:
X = x3o3o *b3o ("normal" hex)
E = o3o3x *b3o ("even" hex)
O = o3o3o *b3x ("odd" hex)
I = o3x3o *b3o (ico)
|
o -- o3o3o3o3o (point)
r R -- o3o3x3o3o (dot)
P S p -- x3o3o3o3x (scad)
r R -- o3o3x3o3o (dot)
o -- o3o3o3o3o (point)
\_ \_ \_
\_ \_ +- x3o3o *b3o3o (hin)
\_ +------ o3o3o *b3x3o (rat)
+----------- o3o3x *b3o3o (alt. hin)
where:
o = o3o3o3o (point)
r = o3x3o3o (rap)
R = o3o3x3o (inv. rap)
p = x3o3o3o (pen)
P = o3o3o3x (dual pen)
S = x3o3o3x (spid)
|
 ©
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o -- o3o3o3o3o (point)
o A V o -- o3o3x3o3o (dot)
V + A -- x3o3o3o3x (scad)
o A V o -- o3o3x3o3o (dot)
o -- o3o3o3o3o (point)
where:
o = o3o o3o (point)
A = x3o x3o (triddip)
V = o3x o3x (bi-inv. triddip)
+ = xo3xo ox3ox&#zq (bihexagonal tegum)
|
|
+------------ x3o3o3o o (pen)
/ +--------- o3o3x3o x (inv rappip)
/ / +------ compound of:
/ / / x3o3o3x o (srip)
/ / / o3o3o3o u (u-line)
/ / / +----- o3x3o3o x (rappip)
/ / / / +-- o3o3o3x o (dual pen)
a B a -- x3o3o *b3o3o (hin)
o O c O o -- o3o3o *b3x3o (rat)
b A b -- o3o3x *b3o3o (alt. hin)
| | | | +-- o3o3o3o3o (point)
| | | +------ o3o3x3o3o (dot)
| | +---------- x3o3o3o3x (scad)
| +-------------- o3o3x3o3o (dot)
+------------------ o3o3o3o3o (point)
where:
o = o3o3o o (point)
a = x3o3o o (tet)
b = o3o3x o (dual tet)
A = x3o3o x (tepe)
B = o3o3x x (inv. tepe)
O = o3x3o x (ope)
c = compound of
x3o3x o (co)
o3o3o u (ortho u-line)
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Coordinates
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-
(1/sqrt(2), 1/sqrt(2), 0, 0, 0; 0) & all permutations but the last coord., all changes of sign
(equatorial rat)
-
(1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8), 1/sqrt(8); sqrt(3/8)) & all even changes of sign
(polar hins)
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Volume
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39 sqrt(3)/80 = 0.844375
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Surface
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117 sqrt(2)/20 = 8.273149
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Dihedral angles
(at margins)
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Dual
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o3o3o3o3o *c3m
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Face vector
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72, 720, 2160, 2160, 702, 54
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Confer
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- uniform relative:
-
dotip
- related segmentopeta:
-
dotpy
dottascad
spida rappip
icoahin
hinco
- related CRFs:
-
pabdimo
- related scaliforms:
-
oddimo
- ambification:
-
ram
- general polytopal classes:
-
Wythoffian polypeta
lace simplices
noble polytopes
Coxeter-Elte-Gosset polytopes
- analogs:
-
Gossetic 1n,2
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External
links
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As the circumradius here is 1 and both the heights of dotpy and dottascad are 1/2, these dissect the point-to-point diagonal equally.
More surprisingly, it shows also that dotip not only can be vertex inserted into mo, it also reuses all of its edges, all triangles and even all of the tets
of that layer too.
Moreover one recognizes that mo hides a compound of dotips, in fact "20 o3o3o3o3o *c3x [36 o3o3x3o3o x]", which therefore happens to belong to the same
company as mo, and mo happens to be its captain.
Wrt. A2 × A2 × A2 subsymmetry mo can be thought of as a tegum sum of
2 tri-dual trittips and 3 pairwise mutually perp. hexagons.
From the above high symmetrical vertex subsets by combination further at least orbiform
vertex inscribed polytopes are derivable:
Incidence matrix according to Dynkin symbol
o3o3o3o3o *c3x
. . . . . . | 72 ♦ 20 | 90 | 60 60 | 15 30 15 | 6 6
---------------+----+-----+------+-----------+-------------+------
. . . . . x | 2 | 720 ♦ 9 | 9 9 | 3 9 3 | 3 3
---------------+----+-----+------+-----------+-------------+------
. . o . . *c3x | 3 | 3 | 2160 | 2 2 | 1 4 1 | 2 2
---------------+----+-----+------+-----------+-------------+------
. o3o . . *c3x ♦ 4 | 6 | 4 | 1080 * | 1 2 0 | 2 1
. . o3o . *c3x ♦ 4 | 6 | 4 | * 1080 | 0 2 1 | 1 2
---------------+----+-----+------+-----------+-------------+------
o3o3o . . *c3x ♦ 5 | 10 | 10 | 5 0 | 216 * * | 2 0
. o3o3o . *c3x ♦ 8 | 24 | 32 | 8 8 | * 270 * | 1 1
. . o3o3o *c3x ♦ 5 | 10 | 10 | 0 5 | * * 216 | 0 2
---------------+----+-----+------+-----------+-------------+------
o3o3o3o . *c3x ♦ 16 | 80 | 160 | 80 40 | 16 10 0 | 27 *
. o3o3o3o *c3x ♦ 16 | 80 | 160 | 40 80 | 0 10 16 | * 27
or
. . . . . . | 72 ♦ 20 | 90 | 120 | 30 30 | 12
------------------+----+-----+------+------+---------+---
. . . . . x | 2 | 720 ♦ 9 | 18 | 6 9 | 6
------------------+----+-----+------+------+---------+---
. . o . . *c3x | 3 | 3 | 2160 | 4 | 2 4 | 4
------------------+----+-----+------+------+---------+---
. o3o . . *c3x & ♦ 4 | 6 | 4 | 2160 | 1 2 | 3
------------------+----+-----+------+------+---------+---
o3o3o . . *c3x & ♦ 5 | 10 | 10 | 5 | 432 * | 2
. o3o3o . *c3x ♦ 8 | 24 | 32 | 16 | * 270 | 2
------------------+----+-----+------+------+---------+---
o3o3o3o . *c3x & ♦ 16 | 80 | 160 | 120 | 16 10 | 54
xoo3ooo3oox *b3oxo3ooo&#xt → both heights = sqrt(3/8) = 0.612372
(hin || pseudo rat || gyro hin)
o..3o..3o.. *b3o..3o.. | 16 * * ♦ 10 10 0 0 0 | 30 30 30 0 0 0 0 0 | 10 20 30 30 20 10 0 0 0 0 0 0 0 0 | 5 5 10 20 10 5 5 0 0 0 0 0 0 0 | 1 5 5 1 0 0
.o.3.o.3.o. *b3.o.3.o. | * 40 * ♦ 0 4 12 4 0 | 0 6 24 24 6 6 24 0 | 0 0 4 12 24 12 8 8 4 24 12 12 0 0 | 0 0 1 8 6 8 12 2 1 8 8 6 0 0 | 0 2 4 4 2 0
..o3..o3..o *b3..o3..o | * * 16 ♦ 0 0 0 10 10 | 0 0 0 0 0 30 30 30 | 0 0 0 0 0 0 0 0 30 20 30 10 10 20 | 0 0 0 0 0 0 5 0 10 5 20 10 5 5 | 0 0 1 5 5 1
---------------------------+----------+-------------------+--------------------------------+---------------------------------------------------+-------------------------------------------+----------------
x.. ... ... ... ... | 2 0 0 | 80 * * * * ♦ 6 3 0 0 0 0 0 0 | 3 6 6 3 0 0 0 0 0 0 0 0 0 0 | 3 2 3 6 1 0 0 0 0 0 0 0 0 0 | 1 3 2 0 0 0
oo.3oo.3oo. *b3oo.3oo.&#x | 1 1 0 | * 160 * * * ♦ 0 3 6 0 0 0 0 0 | 0 0 3 6 6 3 0 0 0 0 0 0 0 0 | 0 0 1 6 3 2 3 0 0 0 0 0 0 0 | 0 2 3 1 0 0
... ... ... .x. ... | 0 2 0 | * * 240 * * ♦ 0 0 2 4 1 0 2 0 | 0 0 0 1 4 2 2 2 0 4 1 2 0 0 | 0 0 0 2 1 2 4 1 0 2 2 1 0 0 | 0 1 2 2 1 0
.oo3.oo3.oo *b3.oo3.oo&#x | 0 1 1 | * * * 160 * ♦ 0 0 0 0 0 3 6 0 | 0 0 0 0 0 0 0 0 3 6 6 3 0 0 | 0 0 0 0 0 0 3 0 1 2 6 3 0 0 | 0 0 1 3 2 0
... ... ..x ... ... | 0 0 2 | * * * * 80 ♦ 0 0 0 0 0 3 0 6 | 0 0 0 0 0 0 0 0 6 0 3 0 3 6 | 0 0 0 0 0 0 0 0 3 0 6 1 3 2 | 0 0 0 2 3 1
---------------------------+----------+-------------------+--------------------------------+---------------------------------------------------+-------------------------------------------+----------------
x..3o.. ... ... ... | 3 0 0 | 3 0 0 0 0 | 160 * * * * * * * | 1 2 1 0 0 0 0 0 0 0 0 0 0 0 | 2 1 1 2 0 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0
xo. ... ... ... ...&#x | 2 1 0 | 1 2 0 0 0 | * 240 * * * * * * | 0 0 2 2 0 0 0 0 0 0 0 0 0 0 | 0 0 1 4 1 0 0 0 0 0 0 0 0 0 | 0 2 2 0 0 0
... ... ... ox. ...&#x | 1 2 0 | 0 2 1 0 0 | * * 480 * * * * * | 0 0 0 1 2 1 0 0 0 0 0 0 0 0 | 0 0 0 2 1 1 2 0 0 0 0 0 0 0 | 0 1 2 1 0 0
... .o. ... *b3.x. ... | 0 3 0 | 0 0 3 0 0 | * * * 320 * * * * | 0 0 0 0 1 0 1 1 0 1 0 0 0 0 | 0 0 0 1 0 1 1 1 0 1 1 0 0 0 | 0 1 1 1 1 0
... ... ... .x.3.o. | 0 3 0 | 0 0 3 0 0 | * * * * 80 * * * | 0 0 0 0 0 2 0 0 0 0 0 2 0 0 | 0 0 0 0 1 0 4 0 0 0 0 1 0 0 | 0 0 2 2 0 0
... ... .ox ... ...&#x | 0 1 2 | 0 0 0 2 1 | * * * * * 240 * * | 0 0 0 0 0 0 0 0 2 0 2 0 0 0 | 0 0 0 0 0 0 0 0 1 0 4 1 0 0 | 0 0 0 2 2 0
... ... ... .xo ...&#x | 0 2 1 | 0 0 1 2 0 | * * * * * * 480 * | 0 0 0 0 0 0 0 0 0 2 1 1 0 0 | 0 0 0 0 0 0 2 0 0 1 2 1 0 0 | 0 0 1 2 1 0
... ..o3..x ... ... | 0 0 3 | 0 0 0 0 3 | * * * * * * * 160 | 0 0 0 0 0 0 0 0 1 0 0 0 1 2 | 0 0 0 0 0 0 0 0 1 0 2 0 2 1 | 0 0 0 1 2 1
---------------------------+----------+-------------------+--------------------------------+---------------------------------------------------+-------------------------------------------+----------------
x..3o..3o.. ... ... ♦ 4 0 0 | 6 0 0 0 0 | 4 0 0 0 0 0 0 0 | 40 * * * * * * * * * * * * * | 2 0 1 0 0 0 0 0 0 0 0 0 0 0 | 1 2 0 0 0 0
x..3o.. ... *b3o.. ... ♦ 4 0 0 | 6 0 0 0 0 | 4 0 0 0 0 0 0 0 | * 80 * * * * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
xo.3oo. ... ... ...&#x ♦ 3 1 0 | 3 3 0 0 0 | 1 3 0 0 0 0 0 0 | * * 160 * * * * * * * * * * * | 0 0 1 2 0 0 0 0 0 0 0 0 0 0 | 0 2 1 0 0 0
xo. ... ... ox. ...&#x ♦ 2 2 0 | 1 4 1 0 0 | 0 2 2 0 0 0 0 0 | * * * 240 * * * * * * * * * * | 0 0 0 2 1 0 0 0 0 0 0 0 0 0 | 0 1 2 0 0 0
... oo. ... *b3ox. ...&#x ♦ 1 3 0 | 0 3 3 0 0 | 0 0 3 1 0 0 0 0 | * * * * 320 * * * * * * * * * | 0 0 0 1 0 1 1 0 0 0 0 0 0 0 | 0 1 1 1 0 0
... ... ... ox.3oo.&#x ♦ 1 3 0 | 0 3 3 0 0 | 0 0 3 0 1 0 0 0 | * * * * * 160 * * * * * * * * | 0 0 0 0 1 0 2 0 0 0 0 0 0 0 | 0 0 2 1 0 0
.o.3.o. ... *b3.x. ... ♦ 0 4 0 | 0 0 6 0 0 | 0 0 0 4 0 0 0 0 | * * * * * * 80 * * * * * * * | 0 0 0 1 0 0 0 1 0 1 0 0 0 0 | 0 1 1 0 1 0
... .o.3.o. *b3.x. ... ♦ 0 4 0 | 0 0 6 0 0 | 0 0 0 4 0 0 0 0 | * * * * * * * 80 * * * * * * | 0 0 0 0 0 1 0 1 0 0 1 0 0 0 | 0 1 0 1 1 0
... .oo3.ox ... ... ♦ 0 1 3 | 0 0 0 3 3 | 0 0 0 0 0 3 0 1 | * * * * * * * * 160 * * * * * | 0 0 0 0 0 0 0 0 1 0 2 0 0 0 | 0 0 0 1 2 0
... .oo ... *b3.xo ...&#x ♦ 0 3 1 | 0 0 3 3 0 | 0 0 0 1 0 0 3 0 | * * * * * * * * * 320 * * * * | 0 0 0 0 0 0 1 0 0 1 1 0 0 0 | 0 0 1 1 1 0
... ... .ox .xo ...&#x ♦ 0 2 2 | 0 0 1 4 1 | 0 0 0 0 0 2 2 0 | * * * * * * * * * * 240 * * * | 0 0 0 0 0 0 0 0 0 0 2 1 0 0 | 0 0 0 2 1 0
... ... ... .xo3.oo&#x ♦ 0 3 1 | 0 0 3 3 0 | 0 0 0 0 1 0 3 0 | * * * * * * * * * * * 160 * * | 0 0 0 0 0 0 2 0 0 0 0 1 0 0 | 0 0 1 2 0 0
..o3..o3..x ... ... ♦ 0 0 4 | 0 0 0 0 6 | 0 0 0 0 0 0 0 4 | * * * * * * * * * * * * 40 * | 0 0 0 0 0 0 0 0 1 0 0 0 2 0 | 0 0 0 0 2 1
... ..o3..x *b3..o ... ♦ 0 0 4 | 0 0 0 0 6 | 0 0 0 0 0 0 0 4 | * * * * * * * * * * * * * 80 | 0 0 0 0 0 0 0 0 0 0 1 0 1 1 | 0 0 0 1 1 1
---------------------------+----------+-------------------+--------------------------------+---------------------------------------------------+-------------------------------------------+----------------
x..3o..3o.. *b3o.. ... ♦ 8 0 0 | 24 0 0 0 0 | 32 0 0 0 0 0 0 0 | 8 8 0 0 0 0 0 0 0 0 0 0 0 0 | 10 * * * * * * * * * * * * * | 1 1 0 0 0 0
x..3o.. ... *b3o..3o.. ♦ 5 0 0 | 10 0 0 0 0 | 10 0 0 0 0 0 0 0 | 0 5 0 0 0 0 0 0 0 0 0 0 0 0 | * 16 * * * * * * * * * * * * | 1 0 1 0 0 0
xo.3oo.3oo. ... ...&#x ♦ 4 1 0 | 6 4 0 0 0 | 4 6 0 0 0 0 0 0 | 1 0 4 0 0 0 0 0 0 0 0 0 0 0 | * * 40 * * * * * * * * * * * | 0 2 0 0 0 0
xo.3oo. ... *b3ox. ...&#x ♦ 4 4 0 | 6 12 6 0 0 | 4 12 12 4 0 0 0 0 | 0 1 4 6 4 0 1 0 0 0 0 0 0 0 | * * * 80 * * * * * * * * * * | 0 1 1 0 0 0
xo. ... ... ox.3oo.&#x ♦ 2 3 0 | 1 6 3 0 0 | 0 3 6 0 1 0 0 0 | 0 0 0 3 0 2 0 0 0 0 0 0 0 0 | * * * * 80 * * * * * * * * * | 0 0 2 0 0 0
... oo.3oo. *b3ox. ...&#x ♦ 1 4 0 | 0 4 6 0 0 | 0 0 6 4 0 0 0 0 | 0 0 0 0 4 0 0 1 0 0 0 0 0 0 | * * * * * 80 * * * * * * * * | 0 1 0 1 0 0
... ooo ... *b3oxo3ooo&#xt ♦ 1 6 1 | 0 6 12 6 0 | 0 0 12 4 4 0 12 0 | 0 0 0 0 4 4 0 0 0 4 0 4 0 0 | * * * * * * 80 * * * * * * * | 0 0 1 1 0 0
.o.3.o.3.o. *b3.x. ... ♦ 0 8 0 | 0 0 24 0 0 | 0 0 0 32 0 0 0 0 | 0 0 0 0 0 0 8 8 0 0 0 0 0 0 | * * * * * * * 10 * * * * * * | 0 1 0 0 1 0
.oo3.oo3.ox ... ...&#x ♦ 0 1 4 | 0 0 0 4 6 | 0 0 0 0 0 6 0 4 | 0 0 0 0 0 0 0 0 4 0 0 0 1 0 | * * * * * * * * 40 * * * * * | 0 0 0 0 2 0
.oo3.oo ... *b3.xo ...&#x ♦ 0 4 1 | 0 0 6 4 0 | 0 0 0 4 0 0 6 0 | 0 0 0 0 0 0 1 0 0 4 0 0 0 0 | * * * * * * * * * 80 * * * * | 0 0 1 0 1 0
... .oo3.ox *b3.xo ...&#x ♦ 0 4 4 | 0 0 6 12 6 | 0 0 0 4 0 12 12 4 | 0 0 0 0 0 0 0 1 4 4 6 0 0 1 | * * * * * * * * * * 80 * * * | 0 0 0 1 1 0
... ... .ox .xo3.oo&#x ♦ 0 3 2 | 0 0 3 6 1 | 0 0 0 0 1 3 6 0 | 0 0 0 0 0 0 0 0 0 0 3 2 0 0 | * * * * * * * * * * * 80 * * | 0 0 0 2 0 0
..o3..o3..x *b3..o ... ♦ 0 0 8 | 0 0 0 0 24 | 0 0 0 0 0 0 0 32 | 0 0 0 0 0 0 0 0 0 0 0 0 8 8 | * * * * * * * * * * * * 10 * | 0 0 0 0 1 1
... ..o3..x *b3..o3..o ♦ 0 0 5 | 0 0 0 0 10 | 0 0 0 0 0 0 0 10 | 0 0 0 0 0 0 0 0 0 0 0 0 0 5 | * * * * * * * * * * * * * 16 | 0 0 0 1 0 1
---------------------------+----------+-------------------+--------------------------------+---------------------------------------------------+-------------------------------------------+----------------
x..3o..3o.. *b3o..3o.. ♦ 16 0 0 | 80 0 0 0 0 | 160 0 0 0 0 0 0 0 | 40 80 0 0 0 0 0 0 0 0 0 0 0 0 | 10 16 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * *
xo.3oo.3oo. *b3ox. ...&#x ♦ 8 8 0 | 24 32 24 0 0 | 32 48 48 32 0 0 0 0 | 8 8 32 24 32 0 8 8 0 0 0 0 0 0 | 1 0 8 8 0 8 0 1 0 0 0 0 0 0 | * 10 * * * *
xoo3ooo ... *b3oxo3ooo&#xt ♦ 5 10 1 | 10 30 30 10 0 | 10 30 60 20 10 0 30 0 | 0 5 10 30 20 20 5 0 0 20 0 10 0 0 | 0 1 0 5 10 0 5 0 0 5 0 0 0 0 | * * 16 * * *
... ooo3oox *b3oxo3ooo&#xt ♦ 1 10 5 | 0 10 30 30 10 | 0 0 30 20 10 30 60 10 | 0 0 0 0 20 10 0 5 10 20 30 20 0 5 | 0 0 0 0 0 5 5 0 0 0 5 10 0 1 | * * * 16 * *
.oo3.oo3.ox *b3.xo ...&#x ♦ 0 8 8 | 0 0 24 32 24 | 0 0 0 32 0 48 48 32 | 0 0 0 0 0 0 8 8 32 32 24 0 8 8 | 0 0 0 0 0 0 0 1 8 8 8 0 1 0 | * * * * 10 *
..o3..o3..x *b3..o ... ♦ 0 0 16 | 0 0 0 0 80 | 0 0 0 0 0 0 0 160 | 0 0 0 0 0 0 0 0 0 0 0 0 40 80 | 0 0 0 0 0 0 0 0 0 0 0 0 10 16 | * * * * * 1
or
o..3o..3o.. *b3o..3o.. & | 32 * ♦ 10 10 0 | 30 30 30 0 0 | 10 20 30 30 20 10 0 | 5 5 10 20 10 5 5 0 | 1 5 6
.o.3.o.3.o. *b3.o.3.o. | * 40 ♦ 0 8 12 | 0 12 48 24 6 | 0 0 8 24 48 24 16 | 0 0 2 16 12 16 12 2 | 0 4 8
------------------------------+-------+-------------+--------------------+----------------------------+----------------------------+--------
x.. ... ... ... ... & | 2 0 | 160 * * ♦ 6 3 0 0 0 | 3 6 6 3 0 0 0 | 3 2 3 6 1 0 0 0 | 1 3 2
oo.3oo.3oo. *b3oo.3oo.&#x & | 1 1 | * 320 * ♦ 0 3 6 0 0 | 0 0 3 6 6 3 0 | 0 0 1 6 3 2 3 0 | 0 2 4
... ... ... .x. ... | 0 2 | * * 240 ♦ 0 0 4 4 1 | 0 0 0 2 8 4 4 | 0 0 0 4 2 4 4 1 | 0 2 4
------------------------------+-------+-------------+--------------------+----------------------------+----------------------------+--------
x..3o.. ... ... ... & | 3 0 | 3 0 0 | 320 * * * * | 1 2 1 0 0 0 0 | 2 1 1 2 0 0 0 0 | 1 2 1
xo. ... ... ... ...&#x & | 2 1 | 1 2 0 | * 480 * * * | 0 0 2 2 0 0 0 | 0 0 1 4 1 0 0 0 | 0 2 2
... ... ... ox. ...&#x & | 1 2 | 0 2 1 | * * 960 * * | 0 0 0 1 2 1 0 | 0 0 0 2 1 1 2 0 | 0 1 3
... .o. ... *b3.x. ... | 0 3 | 0 0 3 | * * * 320 * | 0 0 0 0 2 0 2 | 0 0 0 2 0 2 1 1 | 0 2 2
... ... ... .x.3.o. | 0 3 | 0 0 3 | * * * * 80 | 0 0 0 0 0 4 0 | 0 0 0 0 2 0 4 0 | 0 0 4
------------------------------+-------+-------------+--------------------+----------------------------+----------------------------+--------
x..3o..3o.. ... ... & ♦ 4 0 | 6 0 0 | 4 0 0 0 0 | 80 * * * * * * | 2 0 1 0 0 0 0 0 | 1 2 0
x..3o.. ... *b3o.. ... & ♦ 4 0 | 6 0 0 | 4 0 0 0 0 | * 160 * * * * * | 1 1 0 1 0 0 0 0 | 1 1 1
xo.3oo. ... ... ...&#x & ♦ 3 1 | 3 3 0 | 1 3 0 0 0 | * * 320 * * * * | 0 0 1 2 0 0 0 0 | 0 2 1
xo. ... ... ox. ...&#x & ♦ 2 2 | 1 4 1 | 0 2 2 0 0 | * * * 480 * * * | 0 0 0 2 1 0 0 0 | 0 1 2
... oo. ... *b3ox. ...&#x & ♦ 1 3 | 0 3 3 | 0 0 3 1 0 | * * * * 640 * * | 0 0 0 1 0 1 1 0 | 0 1 2
... ... ... ox.3oo.&#x & ♦ 1 3 | 0 3 3 | 0 0 3 0 1 | * * * * * 320 * | 0 0 0 0 1 0 2 0 | 0 0 3
.o.3.o. ... *b3.x. ... & ♦ 0 4 | 0 0 6 | 0 0 0 4 0 | * * * * * * 160 | 0 0 0 1 0 1 0 1 | 0 2 1
------------------------------+-------+-------------+--------------------+----------------------------+----------------------------+--------
x..3o..3o.. *b3o.. ... & ♦ 8 0 | 24 0 0 | 32 0 0 0 0 | 8 8 0 0 0 0 0 | 20 * * * * * * * | 1 1 0
x..3o.. ... *b3o..3o.. & ♦ 5 0 | 10 0 0 | 10 0 0 0 0 | 0 5 0 0 0 0 0 | * 32 * * * * * * | 1 0 1
xo.3oo.3oo. ... ...&#x & ♦ 4 1 | 6 4 0 | 4 6 0 0 0 | 1 0 4 0 0 0 0 | * * 80 * * * * * | 0 2 0
xo.3oo. ... *b3ox. ...&#x & ♦ 4 4 | 6 12 6 | 4 12 12 4 0 | 0 1 4 6 4 0 1 | * * * 160 * * * * | 0 1 1
xo. ... ... ox.3oo.&#x & ♦ 2 3 | 1 6 3 | 0 3 6 0 1 | 0 0 0 3 0 2 0 | * * * * 160 * * * | 0 0 2
... oo.3oo. *b3ox. ...&#x & ♦ 1 4 | 0 4 6 | 0 0 6 4 0 | 0 0 0 0 4 0 1 | * * * * * 160 * * | 0 1 1
... ooo ... *b3oxo3ooo&#xt ♦ 2 6 | 0 12 12 | 0 0 24 4 4 | 0 0 0 0 8 8 0 | * * * * * * 80 * | 0 0 2
.o.3.o.3.o. *b3.x. ... ♦ 0 8 | 0 0 24 | 0 0 0 32 0 | 0 0 0 0 0 0 16 | * * * * * * * 10 | 0 2 0
------------------------------+-------+-------------+--------------------+----------------------------+----------------------------+--------
x..3o..3o.. *b3o..3o.. & ♦ 16 0 | 80 0 0 | 160 0 0 0 0 | 40 80 0 0 0 0 0 | 10 16 0 0 0 0 0 0 | 2 * *
xo.3oo.3oo. *b3ox. ...&#x & ♦ 8 8 | 24 32 24 | 32 48 48 32 0 | 8 8 32 24 32 0 16 | 1 0 8 8 0 8 0 1 | * 20 *
xoo3ooo ... *b3oxo3ooo&#xt & ♦ 6 10 | 10 40 30 | 10 30 90 20 10 | 0 5 10 30 40 30 5 | 0 1 0 5 10 5 5 0 | * * 32
ooxoo3ooooo3oxoxo3ooooo3ooxoo&#xt → all heights = 1/2
(pt || pseudo dot || pseudo scad || pseudo dot || pt)
o....3o....3o....3o....3o.... | 1 * * * * ♦ 20 0 0 0 0 0 0 0 0 | 90 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 60 60 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 15 30 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 6 6 0 0 0 0
.o...3.o...3.o...3.o...3.o... | * 20 * * * ♦ 1 9 9 1 0 0 0 0 0 | 9 9 9 9 9 36 9 0 0 0 0 0 0 0 0 | 9 9 3 3 3 18 9 18 18 18 3 9 0 0 0 0 0 0 0 0 0 0 0 0 | 3 9 3 3 6 9 9 9 6 3 0 0 0 0 0 0 0 0 0 | 3 3 3 3 0 0
..o..3..o..3..o..3..o..3..o.. | * * 30 * * ♦ 0 0 6 0 4 4 6 0 0 | 0 0 0 12 6 12 12 6 6 12 12 12 0 0 0 | 0 0 0 0 6 12 12 4 4 12 6 12 4 4 6 12 4 4 12 6 0 0 0 0 | 0 1 0 6 4 4 12 4 4 6 1 1 4 4 1 4 4 0 0 | 1 1 4 4 1 1
...o.3...o.3...o.3...o.3...o. | * * * 20 * ♦ 0 0 0 1 0 0 9 9 1 | 0 0 0 0 9 0 0 0 0 9 36 9 9 9 9 | 0 0 0 0 0 0 9 0 0 0 0 9 0 0 3 18 18 18 18 3 3 3 9 9 | 0 0 0 3 0 0 9 0 0 3 0 0 6 9 9 9 6 3 3 | 0 0 3 3 3 3
....o3....o3....o3....o3....o | * * * * 1 ♦ 0 0 0 0 0 0 0 0 20 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 90 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 60 60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 30 0 0 15 15 | 0 0 0 0 6 6
----------------------------------+--------------+------------------------------+-----------------------------------------------------+-----------------------------------------------------------------------------------+--------------------------------------------------------+--------------
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----------------------------------+--------------+------------------------------+-----------------------------------------------------+-----------------------------------------------------------------------------------+--------------------------------------------------------+--------------
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.oxo. ..... ..... ..... .....&#x ♦ 0 1 2 1 0 | 0 0 2 1 1 0 2 0 0 | 0 0 0 1 2 0 0 0 0 1 0 0 0 0 0 | * * * * * * 180 * * * * * * * * * * * * * * * * * | 0 0 0 1 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 | 0 0 2 1 0 0
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..... ..... .xo..3.oo.. .....&#x ♦ 0 3 1 0 0 | 0 3 3 0 0 0 0 0 0 | 0 0 1 0 0 3 0 0 0 0 0 0 0 0 0 | * * * * * * * * 120 * * * * * * * * * * * * * * * | 0 1 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0
..... ..... .xo.. ..... .ox..&#x ♦ 0 2 2 0 0 | 0 1 4 0 0 1 0 0 0 | 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 | * * * * * * * * * 180 * * * * * * * * * * * * * * | 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0
..... ..... ..... .oo..3.ox..&#x ♦ 0 1 3 0 0 | 0 0 3 0 0 3 0 0 0 | 0 0 0 0 0 0 3 0 1 0 0 0 0 0 0 | * * * * * * * * * * 60 * * * * * * * * * * * * * | 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 | 0 1 0 2 0 0
..... ..... ..... ..... .oxo.&#x ♦ 0 1 2 1 0 | 0 0 2 1 0 1 2 0 0 | 0 0 0 0 2 0 1 0 0 0 0 1 0 0 0 | * * * * * * * * * * * 180 * * * * * * * * * * * * | 0 0 0 0 0 0 2 0 0 1 0 0 0 0 0 0 0 0 0 | 0 0 1 2 0 0
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..... ..... ..o..3..o..3..x.. ♦ 0 0 4 0 0 | 0 0 0 0 0 6 0 0 0 | 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 | * * * * * * * * * * * * * 30 * * * * * * * * * * | 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 | 0 1 0 1 0 1
..xo.3..oo. ..... ..... .....&#x ♦ 0 0 3 1 0 | 0 0 0 0 3 0 3 0 0 | 0 0 0 0 0 0 0 1 0 3 0 0 0 0 0 | * * * * * * * * * * * * * * 60 * * * * * * * * * | 0 0 0 1 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 | 0 0 2 0 1 0
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..... ...oo3...xo ..... .....&#x ♦ 0 0 0 3 1 | 0 0 0 0 0 0 0 3 3 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 3 | * * * * * * * * * * * * * * * * * * * * * * 60 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 | 0 0 0 0 2 1
..... ..... ...xo3...oo .....&#x ♦ 0 0 0 3 1 | 0 0 0 0 0 0 0 3 3 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 | * * * * * * * * * * * * * * * * * * * * * * * 60 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 1 | 0 0 0 0 1 2
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..... ..... ox...3oo...3oo...&#x ♦ 1 4 0 0 0 | 4 6 0 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 0 0 0 0 0 | * * 15 * * * * * * * * * * * * * * * * | 0 2 0 0 0 0
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.ox..3.oo..3.xo.. ..... .....&#x ♦ 0 4 4 0 0 | 0 6 12 0 6 0 0 0 0 | 0 4 0 12 0 12 0 4 0 0 0 0 0 0 0 | 0 0 1 0 4 6 0 4 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | * * * * 30 * * * * * * * * * * * * * * | 1 0 1 0 0 0
.ox.. ..... .xo..3.oo.. .....&#x ♦ 0 3 2 0 0 | 0 3 6 0 1 0 0 0 0 | 0 0 1 3 0 6 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 3 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * 60 * * * * * * * * * * * * * | 1 0 0 1 0 0
.oxo. ..... .xox. ..... .oxo.&#xt ♦ 0 2 4 2 0 | 0 1 8 2 2 2 8 1 0 | 0 0 0 4 8 4 4 0 0 4 4 4 0 0 0 | 0 0 0 0 0 2 4 0 0 2 0 4 0 0 0 2 0 0 2 0 0 0 0 0 | * * * * * * 90 * * * * * * * * * * * * | 0 0 1 1 0 0
..... .oo..3.xo.. ..... .ox..&#x ♦ 0 3 2 0 0 | 0 3 6 0 0 1 0 0 0 | 0 1 0 0 0 6 3 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 2 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * * * 60 * * * * * * * * * * * | 0 1 1 0 0 0
..... ..... .xo..3.oo..3.ox..&#x ♦ 0 4 4 0 0 | 0 6 12 0 0 6 0 0 0 | 0 0 4 0 0 12 12 0 4 0 0 0 0 0 0 | 0 0 0 1 0 0 0 0 4 6 4 0 0 1 0 0 0 0 0 0 0 0 0 0 | * * * * * * * * 30 * * * * * * * * * * | 0 1 0 1 0 0
..... ..... ..... .ooo.3.oxo.&#x ♦ 0 1 3 1 0 | 0 0 3 1 0 3 3 0 0 | 0 0 0 0 3 0 3 0 1 0 0 3 0 0 0 | 0 0 0 0 0 0 0 0 0 0 1 3 0 0 0 0 0 0 0 1 0 0 0 0 | * * * * * * * * * 60 * * * * * * * * * | 0 0 0 2 0 0
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..xo.3..oo.3..ox. ..... .....&#x ♦ 0 0 4 4 0 | 0 0 0 0 6 0 12 6 0 | 0 0 0 0 0 0 0 4 0 12 12 0 4 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 4 6 4 0 0 0 1 0 0 0 | * * * * * * * * * * * * 30 * * * * * * | 0 0 1 0 1 0
..xo. ..... ..ox.3..oo. .....&#x ♦ 0 0 2 3 0 | 0 0 0 0 1 0 6 3 0 | 0 0 0 0 0 0 0 0 0 3 6 0 0 1 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 | * * * * * * * * * * * * * 60 * * * * * | 0 0 0 1 1 0
..... ..ooo3..oxo3..ooo .....&#xt ♦ 0 0 1 6 1 | 0 0 0 0 0 0 6 12 6 | 0 0 0 0 0 0 0 0 0 0 12 0 4 4 12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 0 0 0 4 4 | * * * * * * * * * * * * * * 30 * * * * | 0 0 0 0 1 1
..... ..oo.3..ox. ..... ..xo.&#x ♦ 0 0 2 3 0 | 0 0 0 0 0 1 6 3 0 | 0 0 0 0 0 0 0 0 0 0 6 3 1 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 3 0 0 0 0 0 | * * * * * * * * * * * * * * * 60 * * * | 0 0 1 0 0 1
..... ..... ..ox.3..oo.3..xo.&#x ♦ 0 0 4 4 0 | 0 0 0 0 0 6 12 6 0 | 0 0 0 0 0 0 0 0 4 0 12 12 0 4 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 4 6 4 0 1 0 0 | * * * * * * * * * * * * * * * * 30 * * | 0 0 0 1 0 1
...oo3...oo3...xo ..... .....&#x ♦ 0 0 0 4 1 | 0 0 0 0 0 0 0 6 4 | 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 0 0 0 0 0 1 0 4 0 | * * * * * * * * * * * * * * * * * 15 * | 0 0 0 0 2 0
..... ..... ...xo3...oo3...oo&#x ♦ 0 0 0 4 1 | 0 0 0 0 0 0 0 6 4 | 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 0 0 0 0 0 0 1 0 4 | * * * * * * * * * * * * * * * * * * 15 | 0 0 0 0 0 2
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oox..3ooo..3oxo..3ooo.. .....&#xt ♦ 1 10 5 0 0 | 10 30 30 0 10 0 0 0 0 | 30 20 10 30 0 60 0 10 0 0 0 0 0 0 0 | 20 10 5 0 10 30 0 20 20 0 0 0 5 0 0 0 0 0 0 0 0 0 0 0 | 5 5 0 0 5 10 0 0 0 0 1 0 0 0 0 0 0 0 0 | 6 * * * * *
..... ooo..3oxo..3ooo..3oox..&#xt ♦ 1 10 5 0 0 | 10 30 30 0 0 10 0 0 0 | 30 10 20 0 0 60 30 0 10 0 0 0 0 0 0 | 10 20 0 5 0 0 0 20 20 30 10 0 0 5 0 0 0 0 0 0 0 0 0 0 | 0 5 5 0 0 0 0 10 5 0 0 1 0 0 0 0 0 0 0 | * 6 * * * *
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------------------------------------+---------+---------------------+-----------------------------------+-----------------------------------------------------+-------------------------------------+------------
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oo...3oo...3ox... ..... .....&#x & ♦ 1 4 0 | 4 6 0 0 0 0 | 6 4 0 0 0 0 0 0 0 | 4 0 1 0 0 0 0 0 0 0 0 0 0 0 | 30 * * * * * * * * * * * | 2 0 0 0
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..... ..o..3..o..3..o..3..x.. ♦ 0 0 5 | 0 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 5 | * * * * * * * * * * * 6 | 0 2 0 0
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oox..3ooo..3oxo..3ooo.. .....&#xt & ♦ 1 10 5 | 10 30 30 0 10 0 | 30 20 10 30 0 60 0 10 0 | 20 10 5 0 10 30 0 20 20 0 0 0 5 0 | 5 5 0 0 5 10 0 0 0 0 1 0 | 12 * * *
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..... ..... ox... ..... .....&#x | 1 2 0 0 0 | 2 1 0 0 0 0 0 0 | 90 * * * * * * * * * | 4 0 0 0 0 0 0 0 0 0 0 0 | 2 4 0 0 0 0 0 0 0 0 0 | 4 0 0
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------------------------------------+--------------+----------------------------+---------------------------------------+----------------------------------------------+-------------------------------------+---------
..... oo...3ox... ..... .....&#x & ♦ 1 3 0 0 0 | 3 3 0 0 0 0 0 0 | 3 1 0 0 0 0 0 0 0 0 | 120 * * * * * * * * * * * | 1 2 0 0 0 0 0 0 0 0 0 | 3 0 0
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.ox..3.oo.. ..... ..... .....&#x & ♦ 0 1 3 0 0 | 0 0 3 0 3 0 0 0 | 0 0 3 0 0 1 0 0 0 0 | * * 120 * * * * * * * * * | 0 0 1 2 0 0 0 0 0 0 0 | 1 2 0
.ox.. ..... .xo.. ..... .....&#x & ♦ 0 2 2 0 0 | 0 1 4 0 1 0 0 0 | 0 0 2 0 2 0 0 0 0 0 | * * * 360 * * * * * * * * | 0 0 0 1 1 1 0 0 0 0 0 | 1 2 0
.oxo. ..... ..... ..... .....&#x & ♦ 0 1 2 1 0 | 0 0 2 1 1 2 0 0 | 0 0 1 2 0 0 1 0 0 0 | * * * * 360 * * * * * * * | 0 0 1 0 0 2 0 0 0 0 0 | 0 3 0
..... .oo..3.xo.. ..... .....&#x & ♦ 0 3 1 0 0 | 0 3 3 0 0 0 0 0 | 0 1 0 0 3 0 0 0 0 0 | * * * * * 240 * * * * * * | 0 1 0 1 1 0 0 0 0 0 0 | 2 1 0
..x..3..o..3..o.. ..... ..... & ♦ 0 0 4 0 0 | 0 0 0 0 6 0 0 0 | 0 0 0 0 0 0 4 0 0 0 | * * * * * * 60 * * * * * | 0 0 0 1 0 0 1 1 0 0 0 | 1 1 1
..xo.3..oo. ..... ..... .....&#x & ♦ 0 0 3 1 0 | 0 0 0 0 3 3 0 0 | 0 0 0 0 0 1 3 0 0 0 | * * * * * * * 120 * * * * | 0 0 1 0 0 0 0 2 0 0 0 | 0 2 1
..xo. ..... ..ox. ..... .....&#x & ♦ 0 0 2 2 0 | 0 0 0 0 1 4 1 0 | 0 0 0 0 0 0 2 2 0 0 | * * * * * * * * 360 * * * | 0 0 0 0 0 1 0 1 1 0 0 | 0 2 1
..... ..oo.3..ox. ..... .....&#x & ♦ 0 0 1 3 0 | 0 0 0 0 0 3 3 0 | 0 0 0 0 0 0 0 3 1 0 | * * * * * * * * * 240 * * | 0 0 0 0 0 0 0 1 1 1 0 | 0 1 2
...o.3...o.3...x. ..... ..... & ♦ 0 0 0 4 0 | 0 0 0 0 0 0 6 0 | 0 0 0 0 0 0 0 0 4 0 | * * * * * * * * * * 30 * | 0 0 0 0 0 0 0 2 0 0 1 | 0 1 2
..... ...oo3...xo ..... .....&#x & ♦ 0 0 0 3 1 | 0 0 0 0 0 0 3 3 | 0 0 0 0 0 0 0 0 1 3 | * * * * * * * * * * * 120 | 0 0 0 0 0 0 0 0 0 2 1 | 0 0 3
------------------------------------+--------------+----------------------------+---------------------------------------+----------------------------------------------+-------------------------------------+---------
oo...3oo...3ox... ..... .....&#x & ♦ 1 4 0 0 0 | 4 6 0 0 0 0 0 0 | 6 4 0 0 0 0 0 0 0 0 | 4 1 0 0 0 0 0 0 0 0 0 0 | 30 * * * * * * * * * * | 2 0 0
..... ooo..3oxo..3ooo.. .....&#xt ♦ 1 6 1 0 0 | 6 12 6 0 0 0 0 0 | 12 8 0 0 12 0 0 0 0 0 | 8 0 0 0 0 8 0 0 0 0 0 0 | * 30 * * * * * * * * * | 2 0 0
.oxo.3.ooo. ..... ..... .....&#x & ♦ 0 1 3 1 0 | 0 0 3 1 3 3 0 0 | 0 0 3 3 0 1 3 0 0 0 | 0 0 1 0 3 0 0 1 0 0 0 0 | * * 120 * * * * * * * * | 0 2 0
.ox..3.oo..3.xo.. ..... .....&#x & ♦ 0 4 4 0 0 | 0 6 12 0 6 0 0 0 | 0 4 12 0 12 4 0 0 0 0 | 0 1 4 6 0 4 1 0 0 0 0 0 | * * * 60 * * * * * * * | 1 1 0
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.oxo. ..... .xox. ..... .oxo.&#xt ♦ 0 2 4 2 0 | 0 1 8 2 4 8 1 0 | 0 0 8 8 4 0 8 4 0 0 | 0 0 0 4 8 0 0 0 4 0 0 0 | * * * * * 90 * * * * * | 0 2 0
..x..3..o..3..o..3..o.. ..... & ♦ 0 0 5 0 0 | 0 0 0 0 10 0 0 0 | 0 0 0 0 0 10 0 0 0 0 | 0 0 0 0 0 0 5 0 0 0 0 0 | * * * * * * 12 * * * * | 1 0 1
..xo.3..oo.3..ox. ..... .....&#x & ♦ 0 0 4 4 0 | 0 0 0 0 6 12 6 0 | 0 0 0 0 0 4 12 12 4 0 | 0 0 0 0 0 0 1 4 6 4 1 0 | * * * * * * * 60 * * * | 0 1 1
..xo. ..... ..ox.3..oo. .....&#x & ♦ 0 0 2 3 0 | 0 0 0 0 1 6 3 0 | 0 0 0 0 0 0 3 6 1 0 | 0 0 0 0 0 0 0 0 3 2 0 0 | * * * * * * * * 120 * * | 0 1 1
..... ..ooo3..oxo3..ooo .....&#xt ♦ 0 0 1 6 1 | 0 0 0 0 0 6 12 6 | 0 0 0 0 0 0 0 12 8 12 | 0 0 0 0 0 0 0 0 0 8 0 8 | * * * * * * * * * 30 * | 0 0 2
...oo3...oo3...xo ..... .....&#x & ♦ 0 0 0 4 1 | 0 0 0 0 0 0 6 4 | 0 0 0 0 0 0 0 0 4 6 | 0 0 0 0 0 0 0 0 0 0 1 4 | * * * * * * * * * * 30 | 0 0 2
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oox..3ooo..3oxo..3ooo.. .....&#xt & ♦ 1 10 5 0 0 | 10 30 30 0 10 0 0 0 | 30 30 30 0 60 10 0 0 0 0 | 30 5 10 30 0 40 5 0 0 0 0 0 | 5 5 0 5 10 0 1 0 0 0 0 | 12 * *
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oo...3oo...3oo...3oo...3oo...&#x & | 1 1 0 | 40 * * * * ♦ 9 0 0 0 0 0 | 18 0 0 0 0 0 0 | 6 9 0 0 0 0 0 | 6 0
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..... ..... ox... ..... .....&#x & | 1 2 0 | 2 1 0 0 0 | 180 * * * * * | 4 0 0 0 0 0 0 | 2 4 0 0 0 0 0 | 4 0
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..... ..... .xo.. ..... .....&#x & | 0 2 1 | 0 1 2 0 0 | * * * * 720 * | 0 0 0 2 0 2 0 | 0 1 0 2 2 1 0 | 2 2
..x..3..o.. ..... ..... ..... & | 0 0 3 | 0 0 0 0 3 | * * * * * 120 | 0 0 2 0 0 0 2 | 0 0 1 4 0 0 1 | 2 2
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..... oo...3ox... ..... .....&#x & ♦ 1 3 0 | 3 3 0 0 0 | 3 1 0 0 0 0 | 240 * * * * * * | 1 2 0 0 0 0 0 | 3 0
.o...3.o...3.x... ..... ..... & ♦ 0 4 0 | 0 6 0 0 0 | 0 4 0 0 0 0 | * 60 * * * * * | 1 0 0 2 0 0 0 | 2 1
.ox..3.oo.. ..... ..... .....&#x & ♦ 0 1 3 | 0 0 3 0 3 | 0 0 3 0 0 1 | * * 240 * * * * | 0 0 1 2 0 0 0 | 1 2
.ox.. ..... .xo.. ..... .....&#x & ♦ 0 2 2 | 0 1 4 0 1 | 0 0 2 0 2 0 | * * * 720 * * * | 0 0 0 1 1 1 0 | 1 2
.oxo. ..... ..... ..... .....&#x & ♦ 0 2 2 | 0 0 4 1 1 | 0 0 2 2 0 0 | * * * * 360 * * | 0 0 1 0 0 2 0 | 0 3
..... .oo..3.xo.. ..... .....&#x & ♦ 0 3 1 | 0 3 3 0 0 | 0 1 0 0 3 0 | * * * * * 480 * | 0 1 0 1 1 0 0 | 2 1
..x..3..o..3..o.. ..... ..... & ♦ 0 0 4 | 0 0 0 0 6 | 0 0 0 0 0 4 | * * * * * * 60 | 0 0 0 2 0 0 1 | 2 1
------------------------------------+---------+-------------------+-------------------------+---------------------------+-------------------------+------
oo...3oo...3ox... ..... .....&#x & ♦ 1 4 0 | 4 6 0 0 0 | 6 4 0 0 0 0 | 4 1 0 0 0 0 0 | 60 * * * * * * | 2 0
..... ooo..3oxo..3ooo.. .....&#xt & ♦ 1 6 1 | 6 12 6 0 0 | 12 8 0 0 12 0 | 8 0 0 0 0 8 0 | * 60 * * * * * | 2 0
.oxo.3.ooo. ..... ..... .....&#x & ♦ 0 2 3 | 0 0 6 1 3 | 0 0 6 3 0 1 | 0 0 2 0 3 0 0 | * * 120 * * * * | 0 2
.ox..3.oo..3.xo.. ..... .....&#x & ♦ 0 4 4 | 0 6 12 0 6 | 0 4 12 0 12 4 | 0 1 4 6 0 4 1 | * * * 120 * * * | 1 1
.ox.. ..... .xo..3.oo.. .....&#x & ♦ 0 3 2 | 0 3 6 0 1 | 0 1 3 0 6 0 | 0 0 0 3 0 2 0 | * * * * 240 * * | 1 1
.oxo. ..... .xox. ..... .oxo.&#xt ♦ 0 4 4 | 0 2 16 2 4 | 0 0 16 8 8 0 | 0 0 0 8 8 0 0 | * * * * * 90 * | 0 2
..x..3..o..3..o..3..o.. ..... & ♦ 0 0 5 | 0 0 0 0 10 | 0 0 0 0 0 10 | 0 0 0 0 0 0 5 | * * * * * * 12 | 2 0
------------------------------------+---------+-------------------+-------------------------+---------------------------+-------------------------+------
oox..3ooo..3oxo..3ooo.. .....&#xt & ♦ 1 10 5 | 10 30 30 0 10 | 30 30 30 0 60 10 | 30 5 10 30 0 40 5 | 5 5 0 5 10 0 1 | 24 *
.oxo.3.ooo.3.xox. ..... .oxo.&#xt & ♦ 0 8 8 | 0 12 48 4 16 | 0 8 72 24 48 8 | 0 2 16 48 36 16 2 | 0 0 8 4 8 6 0 | * 30
uxo oox3ooo3oxo3ooo3oox&#zx → all existing heights = 0
(tegum sum of u-line, lacing-para dotip, and perp scad)
o.. o..3o..3o..3o..3o.. | 2 * * ♦ 20 0 0 0 0 | 90 0 0 0 0 0 | 120 0 0 0 0 0 0 | 30 30 0 0 0 0 0 | 12 0
.o. .o.3.o.3.o.3.o.3.o. | * 40 * ♦ 1 1 9 9 0 | 9 18 9 18 36 0 | 18 6 18 6 36 36 0 | 6 9 6 9 12 18 0 | 6 6
..o ..o3..o3..o3..o3..o | * * 30 ♦ 0 0 0 12 8 | 0 0 6 48 24 12 | 0 0 24 24 48 16 8 | 0 2 12 12 16 16 2 | 4 8
------------------------------+---------+-------------------+-------------------------+---------------------------+-------------------------+------
oo. oo.3oo.3oo.3oo.3oo.&#x | 1 1 0 | 40 * * * * ♦ 9 0 0 0 0 0 | 18 0 0 0 0 0 0 | 6 9 0 0 0 0 0 | 6 0
.x. ... ... ... ... ... | 0 2 0 | * 20 * * * ♦ 0 0 9 0 0 0 | 0 0 18 0 0 0 0 | 0 0 6 9 0 0 0 | 0 6
... ... ... .x. ... ... | 0 2 0 | * * 180 * * ♦ 1 4 0 0 4 0 | 4 2 0 0 4 8 0 | 2 4 0 1 4 4 0 | 4 2
.oo .oo3.oo3.oo3.oo3.oo&#x | 0 1 1 | * * * 360 * ♦ 0 0 1 4 4 0 | 0 0 4 2 8 4 0 | 0 1 2 4 4 4 0 | 2 4
... ..x ... ... ... ... & | 0 0 2 | * * * * 120 ♦ 0 0 0 6 0 3 | 0 0 3 6 6 0 3 | 0 0 3 3 6 2 1 | 2 4
------------------------------+---------+-------------------+-------------------------+---------------------------+-------------------------+------
... ... ... ox. ... ...&#x | 1 2 0 | 2 0 1 0 0 | 180 * * * * * | 4 0 0 0 0 0 0 | 2 4 0 0 0 0 0 | 4 0
... ... .o.3.x. ... ... & | 0 3 0 | 0 0 3 0 0 | * 240 * * * * | 1 1 0 0 0 2 0 | 1 2 0 0 2 1 0 | 3 1
.xo ... ... ... ... ...&#x | 0 2 1 | 0 1 0 2 0 | * * 180 * * * | 0 0 4 0 0 0 0 | 0 0 2 4 0 0 0 | 0 4
... .ox ... ... ... ...&#x & | 0 1 2 | 0 0 0 2 1 | * * * 720 * * | 0 0 1 1 2 0 0 | 0 0 1 2 2 1 0 | 1 3
... ... ... .xo ... ...&#x | 0 2 1 | 0 0 1 2 0 | * * * * 720 * | 0 0 0 0 2 2 0 | 0 1 0 1 2 2 0 | 2 2
... ..x3..o ... ... ... & | 0 0 3 | 0 0 0 0 3 | * * * * * 120 | 0 0 0 2 0 0 2 | 0 0 1 0 4 0 1 | 2 2
------------------------------+---------+-------------------+-------------------------+---------------------------+-------------------------+------
... ... oo.3ox. ... ...&#x & ♦ 1 3 0 | 3 0 3 0 0 | 3 1 0 0 0 0 | 240 * * * * * * | 1 2 0 0 0 0 0 | 3 0
... .o.3.o.3.x. ... ... & ♦ 0 4 0 | 0 0 6 0 0 | 0 4 0 0 0 0 | * 60 * * * * * | 1 0 0 0 2 0 0 | 2 1
.xo .ox ... ... ... ...&#x & ♦ 0 2 2 | 0 1 0 4 1 | 0 0 2 2 0 0 | * * 360 * * * * | 0 0 1 2 0 0 0 | 0 3
... .ox3.oo ... ... ...&#x & ♦ 0 1 3 | 0 0 0 3 3 | 0 0 0 3 0 1 | * * * 240 * * * | 0 0 1 0 2 0 0 | 1 2
... .ox ... .xo ... ...&#x & ♦ 0 2 2 | 0 0 1 4 1 | 0 0 0 2 2 0 | * * * * 720 * * | 0 0 0 1 1 1 0 | 1 2
... ... .oo3.xo ... ...&#x & ♦ 0 3 1 | 0 0 3 3 0 | 0 1 0 0 3 0 | * * * * * 480 * | 0 1 0 0 1 1 0 | 2 1
... ..x3..o3..o ... ... & ♦ 0 0 4 | 0 0 0 0 6 | 0 0 0 0 0 4 | * * * * * * 60 | 0 0 0 0 2 0 1 | 2 1
------------------------------+---------+-------------------+-------------------------+---------------------------+-------------------------+------
... oo.3oo.3ox. ... ...&#x & ♦ 1 4 0 | 4 0 6 0 0 | 6 4 0 0 0 0 | 4 1 0 0 0 0 0 | 60 * * * * * * | 2 0
... ... ooo3oxo3ooo ...&#xt ♦ 1 6 1 | 6 0 12 6 0 | 12 8 0 0 12 0 | 8 0 0 0 0 8 0 | * 60 * * * * * | 2 0
.xo .ox3.oo ... ... ...&#x & ♦ 0 2 3 | 0 1 0 6 3 | 0 0 3 6 0 1 | 0 0 3 2 0 0 0 | * * 120 * * * * | 0 2
.xo .ox ... .xo ... .ox&#zx ♦ 0 4 4 | 0 2 2 16 4 | 0 0 8 16 8 0 | 0 0 8 0 8 0 0 | * * * 90 * * * | 0 2
... .ox3.oo3.xo ... ...&#x & ♦ 0 4 4 | 0 0 6 12 6 | 0 4 0 12 12 4 | 0 1 0 4 6 4 1 | * * * * 120 * * | 1 1
... .ox ... .xo3.oo ...&#x & ♦ 0 3 2 | 0 0 3 6 1 | 0 1 0 3 6 0 | 0 0 0 0 3 2 0 | * * * * * 240 * | 1 1
... ..x3..o3..o3..o ... & ♦ 0 0 5 | 0 0 0 0 10 | 0 0 0 0 0 10 | 0 0 0 0 0 0 5 | * * * * * * 12 | 2 0
------------------------------+---------+-------------------+-------------------------+---------------------------+-------------------------+------
... oox3ooo3oxo3ooo ...&#xt & ♦ 1 10 5 | 10 0 30 30 10 | 30 30 0 30 60 10 | 30 5 0 10 30 40 5 | 5 5 0 0 5 10 1 | 24 *
.xo .ox3.oo3.xo ... .ox&#zx ♦ 0 8 8 | 0 4 12 48 16 | 0 8 24 72 48 8 | 0 2 36 16 48 16 2 | 0 0 8 6 4 8 0 | * 30
xoxoo3oxxoo xooxo3oxoxo xooox3oxoox&#zx → all existing heights = 0
(tegum sum of 2 tri-dual trittips and 3 pairwise mutually perp. hexagons)
o....3o.... o....3o.... o....3o.... & | 54 * ♦ 6 8 6 0 | 3 36 24 24 3 | 24 72 12 12 | 18 24 12 6 | 12
..o..3..o.. ..o..3..o.. ..o..3..o.. & | * 18 ♦ 0 0 18 2 | 0 0 36 36 18 | 0 72 12 36 | 18 18 12 12 | 12
------------------------------------------+-------+----------------+--------------------+------------------+-----------------+---
x.... ..... ..... ..... ..... ..... & | 2 0 | 162 * * * ♦ 1 4 4 0 0 | 4 8 4 2 | 5 4 4 2 | 6
oo...3oo... oo...3oo... oo...3oo...&#x | 2 0 | * 216 * * ♦ 0 6 0 3 0 | 6 12 0 0 | 6 6 3 0 | 6
o.o..3o.o.. o.o..3o.o.. o.o..3o.o..&#x & | 1 1 | * * 324 * ♦ 0 0 4 4 1 | 0 12 2 4 | 5 4 4 2 | 6
..x.. ..... ..... ..... ..... ..... & | 0 2 | * * * 18 ♦ 0 0 0 0 9 | 0 0 0 18 | 9 0 0 6 | 6
------------------------------------------+-------+----------------+--------------------+------------------+-----------------+---
x....3o.... ..... ..... ..... ..... & | 3 0 | 3 0 0 0 | 54 * * * * | 0 0 4 0 | 0 0 4 2 | 4
xo... ..... ..... ..... ..... .....&#x & | 3 0 | 1 2 0 0 | * 648 * * * | 2 2 0 0 | 3 2 1 0 | 4
x..o. ..... ..... ..... ..... .....&#x & | 2 1 | 1 0 2 0 | * * 648 * * | 0 2 1 1 | 2 1 2 1 | 4
ooo..3ooo.. ooo..3ooo.. ooo..3ooo..&#x & | 2 1 | 0 1 2 0 | * * * 648 * | 0 4 0 0 | 2 2 2 0 | 4
.ox.. ..... ..... ..... ..... .....&#x & | 1 2 | 0 0 2 1 | * * * * 162 | 0 0 0 4 | 4 0 0 2 | 4
------------------------------------------+-------+----------------+--------------------+------------------+-----------------+---
xo... ..... ..... ox... ..... .....&#x & ♦ 4 0 | 2 4 0 0 | 0 4 0 0 0 | 324 * * * | 2 1 0 0 | 3
xo.o. ..... ..... ..... ..... .....&#x & ♦ 3 1 | 1 2 3 0 | 0 1 1 2 0 | * 1296 * * | 1 1 1 0 | 3
x..o.3o..o. ..... ..... ..... .....&#x & ♦ 3 1 | 3 0 3 0 | 1 0 3 0 0 | * * 216 * | 0 0 2 1 | 3
x..o. ..... ..... o..x. ..... .....&#x & ♦ 2 2 | 1 0 4 1 | 0 0 2 0 2 | * * * 324 | 2 0 0 1 | 3
------------------------------------------+-------+----------------+--------------------+------------------+-----------------+---
xox.. ..... ..... oxo.. ..... oxo..&#xt & ♦ 6 2 | 5 8 10 1 | 0 12 8 8 4 | 4 8 0 4 | 162 * * * | 2
xo.o. ..... ..... ..... ..... ox.o.&#x & ♦ 4 1 | 2 4 4 0 | 0 4 2 4 0 | 1 4 0 0 | * 324 * * | 2
xo.oo3ox.oo ..... ..... ..... .....&#xr & ♦ 6 2 | 6 6 12 0 | 2 6 12 12 0 | 0 12 4 0 | * * 108 * | 2
x..o.3o..o. ..... o..x. ..... .....&#x & ♦ 3 2 | 3 0 6 1 | 1 0 6 0 3 | 0 0 2 3 | * * * 108 | 2
------------------------------------------+-------+----------------+--------------------+------------------+-----------------+---
xo.oo3ox.oo xo.xo ..... ..... ox.ox&#xt & ♦ 12 4 | 18 24 36 2 | 4 48 48 48 12 | 18 72 12 18 | 6 12 4 4 | 54 tower: E-A-B-D