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Acronym
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tac
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Name
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triacontiditeron,
pentacross (β5),
aeropet(id),
pentachoral antiprism,
vertex figure of gee,
Gosset polytopes 21,1,
lattice C5 contact polytope (span of its small roots)
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Field of sections
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 ©
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Circumradius
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1/sqrt(2) = 0.707107
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Inradius
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1/sqrt(10) = 0.316228
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Vertex figure
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 ©  ©
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Lace city
in approx. ASCII-art
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 ©
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o -- o3o3o4o (point)
o O o -- x3o3o4o (hex)
o -- o3o3o4o (point)
where:
o = o3o4o (point)
O = x3o4o (oct)
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o3o3o x3o3o
o3o3x o3o3o
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x o3o o x3o
o o3x x o3o
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Coordinates
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(1/sqrt(2), 0, 0, 0, 0) & all permutations, all changes of sign
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Volume
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sqrt(2)/30 = 0.047140
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Surface
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sqrt(5)/3 = 0.745356
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Rel. Roundness
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2 π2 sqrt(5)/125 = 35.310570 %
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General of army
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(is itself convex)
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Colonel of regiment
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(is itself locally convex
– uniform polyteral members:
& others)
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Dual
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pent
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Dihedral angles
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- at tet between pen and pen: arccos(-3/5) = 126.869898°
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Face vector
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10, 40, 80, 80, 32
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Confer
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- more general:
-
xPo3o...o3o4o
- related segmentotera:
-
hexpy
squete
- related CRFs:
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gyetac
- ambification:
-
rat
- general polytopal classes:
-
Wythoffian polytera
orthoplex
noble polytopes
partial Stott expansions
segmentotera
fundamental lace prisms
lace simplices
Coxeter-Elte-Gosset polytopes
Hanner polytopes
- analogs:
-
regular orthoplex On
Gossetic 2n,1
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External
links
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Incidence matrix according to Dynkin symbol
x3o3o3o4o
. . . . . | 10 ♦ 8 | 24 | 32 | 16
----------+----+----+----+----+---
x . . . . | 2 | 40 ♦ 6 | 12 | 8
----------+----+----+----+----+---
x3o . . . | 3 | 3 | 80 | 4 | 4
----------+----+----+----+----+---
x3o3o . . ♦ 4 | 6 | 4 | 80 | 2
----------+----+----+----+----+---
x3o3o3o . ♦ 5 | 10 | 10 | 5 | 32
x3o3o3o4/3o
. . . . . | 10 ♦ 8 | 24 | 32 | 16
------------+----+----+----+----+---
x . . . . | 2 | 40 ♦ 6 | 12 | 8
------------+----+----+----+----+---
x3o . . . | 3 | 3 | 80 | 4 | 4
------------+----+----+----+----+---
x3o3o . . ♦ 4 | 6 | 4 | 80 | 2
------------+----+----+----+----+---
x3o3o3o . ♦ 5 | 10 | 10 | 5 | 32
o3o3o *b3o3x
. . . . . | 10 ♦ 8 | 24 | 32 | 8 8
-------------+----+----+----+----+------
. . . . x | 2 | 40 ♦ 6 | 12 | 4 4
-------------+----+----+----+----+------
. . . o3x | 3 | 3 | 80 | 4 | 2 2
-------------+----+----+----+----+------
. o . *b3o3x ♦ 4 | 6 | 4 | 80 | 1 1
-------------+----+----+----+----+------
o3o . *b3o3x ♦ 5 | 10 | 10 | 5 | 16 *
. o3o *b3o3x ♦ 5 | 10 | 10 | 5 | * 16
xo3oo3oo3ox&#x → height = sqrt(2/5) = 0.632456
(pen || dual pen)
o.3o.3o.3o. | 5 * ♦ 4 4 0 | 6 12 6 0 | 4 12 12 4 0 | 1 4 6 4 1 0
.o3.o3.o3.o | * 5 ♦ 0 4 4 | 0 6 12 6 | 0 4 12 12 4 | 0 1 4 6 4 1
---------------+-----+----------+-------------+--------------+--------------
x. .. .. .. | 2 0 | 10 * * ♦ 3 3 0 0 | 3 6 3 0 0 | 1 3 3 1 0 0
oo3oo3oo3oo&#x | 1 1 | * 20 * ♦ 0 3 3 0 | 0 3 6 3 0 | 0 1 3 3 1 0
.. .. .. .x | 0 2 | * * 10 ♦ 0 0 3 3 | 0 0 3 6 3 | 0 0 1 3 3 1
---------------+-----+----------+-------------+--------------+--------------
x.3o. .. .. | 3 0 | 3 0 0 | 10 * * * | 2 2 0 0 0 | 1 2 1 0 0 0
xo .. .. ..&#x | 2 1 | 1 2 0 | * 30 * * | 0 2 2 0 0 | 0 1 2 1 0 0
.. .. .. ox&#x | 1 2 | 0 2 1 | * * 30 * | 0 0 2 2 0 | 0 0 1 2 1 0
.. .. .o3.x | 0 3 | 0 0 3 | * * * 10 | 0 0 0 2 2 | 0 0 0 1 2 1
---------------+-----+----------+-------------+--------------+--------------
x.3o.3o. .. ♦ 4 0 | 6 0 0 | 4 0 0 0 | 5 * * * * | 1 1 0 0 0 0
xo3oo .. ..&#x ♦ 3 1 | 3 3 0 | 1 3 0 0 | * 20 * * * | 0 1 1 0 0 0
xo .. .. ox&#x ♦ 2 2 | 1 4 1 | 0 2 2 0 | * * 30 * * | 0 0 1 1 0 0
.. .. oo3ox&#x ♦ 1 3 | 0 3 3 | 0 0 3 1 | * * * 20 * | 0 0 0 1 1 0
.. .o3.o3.x ♦ 0 4 | 0 0 6 | 0 0 0 4 | * * * * 5 | 0 0 0 0 1 1
---------------+-----+----------+-------------+--------------+--------------
x.3o.3o.3o. ♦ 5 0 | 10 0 0 | 10 0 0 0 | 5 0 0 0 0 | 1 * * * * *
xo3oo3oo ..&#x ♦ 4 1 | 6 4 0 | 4 6 0 0 | 1 4 0 0 0 | * 5 * * * *
xo3oo .. ox&#x ♦ 3 2 | 3 6 1 | 1 6 3 0 | 0 2 3 0 0 | * * 10 * * *
xo .. oo3ox&#x ♦ 2 3 | 1 6 3 | 0 3 6 1 | 0 0 3 2 0 | * * * 10 * *
.. oo3oo3ox&#x ♦ 1 4 | 0 4 6 | 0 0 6 4 | 0 0 0 4 1 | * * * * 5 *
.o3.o3.o3.x ♦ 0 5 | 0 0 10 | 0 0 0 10 | 0 0 0 0 5 | * * * * * 1
or
o.3o.3o.3o. & | 10 ♦ 4 4 | 6 18 | 4 16 12 | 1 5 10
-----------------+----+-------+-------+----------+--------
x. .. .. .. & | 2 | 20 * ♦ 3 3 | 3 6 3 | 1 3 4
oo3oo3oo3oo&#x | 2 | * 20 ♦ 0 6 | 0 6 6 | 0 2 6
-----------------+----+-------+-------+----------+--------
x.3o. .. .. & | 3 | 3 0 | 20 * | 2 2 0 | 1 2 1
xo .. .. ..&#x & | 3 | 1 2 | * 60 | 0 2 2 | 0 1 3
-----------------+----+-------+-------+----------+--------
x.3o.3o. .. & ♦ 4 | 6 0 | 4 0 | 10 * * | 1 1 0
xo3oo .. ..&#x & ♦ 4 | 3 3 | 1 3 | * 40 * | 0 1 1
xo .. .. ox&#x ♦ 4 | 2 4 | 0 4 | * * 30 | 0 0 2
-----------------+----+-------+-------+----------+--------
x.3o.3o.3o. & ♦ 5 | 10 0 | 10 0 | 5 0 0 | 2 * *
xo3oo3oo ..&#x & ♦ 5 | 6 4 | 4 6 | 1 4 0 | * 10 *
xo3oo .. ox&#x & ♦ 5 | 4 6 | 1 9 | 0 2 3 | * * 20
oxo3ooo3ooo4ooo&#xt → both heights = 1/sqrt(2) = 0.707107
(pt || pseudo hex || pt)
o..3o..3o..4o.. | 1 * * ♦ 8 0 0 | 24 0 0 | 32 0 0 | 16 0
.o.3.o.3.o.4.o. | * 8 * ♦ 1 6 1 | 6 12 6 | 12 8 12 | 8 8
..o3..o3..o4..o | * * 1 ♦ 0 0 8 | 0 0 24 | 0 0 32 | 0 16
-------------------+-------+--------+----------+----------+------
oo.3oo.3oo.4oo.&#x | 1 1 0 | 8 * * ♦ 6 0 0 | 12 0 0 | 8 0
.x. ... ... ... | 0 2 0 | * 24 * ♦ 1 4 1 | 4 4 4 | 4 4
.oo3.oo3.oo4.oo&#x | 0 1 1 | * * 8 ♦ 0 0 6 | 0 0 12 | 0 8
-------------------+-------+--------+----------+----------+------
ox. ... ... ...&#x | 1 2 0 | 2 1 0 | 24 * * | 4 0 0 | 4 0
.x.3.o. ... ... | 0 3 0 | 0 3 0 | * 32 * | 1 2 1 | 2 2
.xo ... ... ...&#x | 0 2 1 | 0 1 2 | * * 24 | 0 0 4 | 0 4
-------------------+-------+--------+----------+----------+------
ox.3oo. ... ...&#x ♦ 1 3 0 | 3 3 0 | 3 1 0 | 32 * * | 2 0
.x.3.o.3.o. ... ♦ 0 4 0 | 0 6 0 | 0 4 0 | * 16 * | 1 1
.xo3.oo ... ...&#x ♦ 0 3 1 | 0 3 3 | 0 1 3 | * * 32 | 0 2
-------------------+-------+--------+----------+----------+------
ox.3oo.3oo. ...&#x ♦ 1 4 0 | 4 6 0 | 6 4 0 | 4 1 0 | 16 *
.xo3.oo3.oo ...&#x ♦ 0 4 1 | 0 6 4 | 0 4 6 | 0 1 4 | * 16
or
o..3o..3o..4o.. & | 2 * ♦ 8 0 | 24 0 | 32 0 | 16
.o.3.o.3.o.4.o. | * 8 ♦ 2 6 | 12 12 | 24 8 | 16
---------------------+-----+-------+-------+-------+---
oo.3oo.3oo.4oo.&#x & | 1 1 | 16 * ♦ 6 0 | 12 0 | 8
.x. ... ... ... | 0 2 | * 24 ♦ 2 4 | 8 4 | 8
---------------------+-----+-------+-------+-------+---
ox. ... ... ...&#x & | 1 2 | 2 1 | 48 * | 4 0 | 4
.x.3.o. ... ... | 0 3 | 0 3 | * 32 | 2 2 | 4
---------------------+-----+-------+-------+-------+---
ox.3oo. ... ...&#x & ♦ 1 3 | 3 3 | 3 1 | 64 * | 2
.x.3.o.3.o. ... ♦ 0 4 | 0 6 | 0 4 | * 16 | 2
---------------------+-----+-------+-------+-------+---
ox.3oo.3oo. ...&#x & ♦ 1 4 | 4 6 | 6 4 | 4 1 | 32
qo ox3oo3oo4oo&#zx → height = 0
(tegum sum of q-line and perp hex)
(tegum product of q-line with hex)
o. o.3o.3o.4o. | 2 * ♦ 8 0 | 24 0 | 32 0 | 16
.o .o3.o3.o4.o | * 8 ♦ 2 6 | 12 12 | 24 8 | 16
------------------+-----+-------+-------+-------+---
oo oo3oo3oo4oo&#x | 1 1 | 16 * ♦ 6 0 | 12 0 | 8
.. .x .. .. .. | 0 2 | * 24 ♦ 2 4 | 8 4 | 8
------------------+-----+-------+-------+-------+---
.. ox .. .. ..&#x | 1 2 | 2 1 | 48 * | 4 0 | 4
.. .x3.o .. .. | 0 3 | 0 3 | * 32 | 2 2 | 4
------------------+-----+-------+-------+-------+---
.. ox3oo .. ..&#x ♦ 1 3 | 3 3 | 3 1 | 64 * | 2
.. .x3.o3.o .. ♦ 0 4 | 0 6 | 0 4 | * 16 | 2
------------------+-----+-------+-------+-------+---
.. ox3oo3oo ..&#x ♦ 1 4 | 4 6 | 6 4 | 4 1 | 32
oxo3ooo3ooo *b3ooo&#xt → both heights = 1/sqrt(2) = 0.707107
(pt || pseudo hex || pt)
o..3o..3o.. *b3o.. | 1 * * ♦ 8 0 0 | 24 0 0 | 32 0 0 0 | 8 8 0 0
.o.3.o.3.o. *b3.o. | * 8 * ♦ 1 6 1 | 6 12 6 | 12 4 4 12 | 4 4 4 4
..o3..o3..o *b3..o | * * 1 ♦ 0 0 8 | 0 0 24 | 0 0 0 32 | 0 0 8 8
----------------------+-------+--------+----------+-----------+--------
oo.3oo.3oo. *b3oo.&#x | 1 1 0 | 8 * * ♦ 6 0 0 | 12 0 0 0 | 4 4 0 0
.x. ... ... ... | 0 2 0 | * 24 * ♦ 1 4 1 | 4 2 2 4 | 2 2 2 2
.oo3.oo3.oo *b3.oo&#x | 0 1 1 | * * 8 ♦ 0 0 6 | 0 0 0 12 | 0 0 4 4
----------------------+-------+--------+----------+-----------+--------
ox. ... ... ...&#x | 1 2 0 | 2 1 0 | 24 * * | 4 0 0 0 | 2 2 0 0
.x.3.o. ... ... | 0 3 0 | 0 3 0 | * 32 * | 1 1 1 1 | 1 1 1 1
.xo ... ... ...&#x | 0 2 1 | 0 1 2 | * * 24 | 0 0 0 4 | 0 0 2 2
----------------------+-------+--------+----------+-----------+--------
ox.3oo. ... ...&#x ♦ 1 3 0 | 3 3 0 | 3 1 0 | 32 * * * | 1 1 0 0
.x.3.o.3.o. ... ♦ 0 4 0 | 0 6 0 | 0 4 0 | * 8 * * | 1 0 1 0
.x.3.o. ... *b3.o. ♦ 0 4 0 | 0 6 0 | 0 4 0 | * * 8 * | 0 1 0 1
.xo3.oo ... ...&#x ♦ 0 3 1 | 0 3 3 | 0 1 3 | * * * 32 | 0 0 1 1
----------------------+-------+--------+----------+-----------+--------
ox.3oo.3oo. ...&#x ♦ 1 4 0 | 4 6 0 | 6 4 0 | 4 1 0 0 | 8 * * *
ox.3oo. ... *b3oo.&#x ♦ 1 4 0 | 4 6 0 | 6 4 0 | 4 0 1 0 | * 8 * *
.xo3.oo3.oo ...&#x ♦ 0 4 1 | 0 6 4 | 0 4 6 | 0 1 0 4 | * * 8 *
.xo3.oo ... *b3.oo&#x ♦ 0 4 1 | 0 6 4 | 0 4 6 | 0 0 1 4 | * * * 8
or
o..3o..3o.. *b3o.. & | 2 * ♦ 8 0 | 24 0 | 32 0 0 | 8 8
.o.3.o.3.o. *b3.o. | * 8 ♦ 2 6 | 12 12 | 24 4 4 | 8 8
------------------------+-----+-------+-------+--------+------
oo.3oo.3oo. *b3oo.&#x & | 1 1 | 16 * ♦ 6 0 | 12 0 0 | 4 4
.x. ... ... ... | 0 2 | * 24 ♦ 2 4 | 8 2 2 | 4 4
------------------------+-----+-------+-------+--------+------
ox. ... ... ...&#x & | 1 2 | 2 1 | 48 * | 4 0 0 | 2 2
.x.3.o. ... ... | 0 3 | 0 3 | * 32 | 2 1 1 | 2 2
------------------------+-----+-------+-------+--------+------
ox.3oo. ... ...&#x & ♦ 1 3 | 3 3 | 3 1 | 64 * * | 1 1
.x.3.o.3.o. ... ♦ 0 4 | 0 6 | 0 4 | * 8 * | 2 0
.x.3.o. ... *b3.o. ♦ 0 4 | 0 6 | 0 4 | * * 8 | 0 2
------------------------+-----+-------+-------+--------+------
ox.3oo.3oo. ...&#x & ♦ 1 4 | 4 6 | 6 4 | 4 1 0 | 16 *
ox.3oo. ... *b3oo.&#x & ♦ 1 4 | 4 6 | 6 4 | 4 0 1 | * 16
qo ox3oo3oo *b3oo&#zx → height = 0
(tegum sum of q-line and perp hex)
(tegum product of q-line with hex)
o. o.3o.3o. *b3o. | 2 * ♦ 8 0 | 24 0 | 32 0 0 | 8 8
.o .o3.o3.o *b3.o | * 8 ♦ 2 6 | 12 12 | 24 4 4 | 8 8
---------------------+-----+-------+-------+--------+------
oo oo3oo3oo *b3oo&#x | 1 1 | 16 * ♦ 6 0 | 12 0 0 | 4 4
.. .x .. .. .. | 0 2 | * 24 ♦ 2 4 | 8 2 2 | 4 4
---------------------+-----+-------+-------+--------+------
.. ox .. .. ..&#x | 1 2 | 2 1 | 48 * | 4 0 0 | 2 2
.. .x3.o .. .. | 0 3 | 0 3 | * 32 | 2 1 1 | 2 2
---------------------+-----+-------+-------+--------+------
.. ox3oo .. ..&#x ♦ 1 3 | 3 3 | 3 1 | 64 * * | 1 1
.. .x3.o3.o .. ♦ 0 4 | 0 6 | 0 4 | * 8 * | 2 0
.. .x3.o .. *b3.o ♦ 0 4 | 0 6 | 0 4 | * * 8 | 0 2
---------------------+-----+-------+-------+--------+------
.. ox3oo3oo ..&#x ♦ 1 4 | 4 6 | 6 4 | 4 1 0 | 16 *
.. ox3oo .. *b3oo&#x ♦ 1 4 | 4 6 | 6 4 | 4 0 1 | * 16
xox oxo3ooo4ooo&#xt → both heights = 1/2
(line || perp pseudo oct || line)
o.. o..3o..4o.. | 2 * * ♦ 1 6 1 0 0 0 | 6 12 6 0 0 0 | 12 8 12 0 0 | 8 8 0
.o. .o.3.o.4.o. | * 6 * ♦ 0 2 0 4 2 0 | 1 8 2 4 1 8 | 4 8 8 4 8 | 4 8 4
..o ..o3..o4..o | * * 2 ♦ 0 0 1 0 6 1 | 0 0 6 0 6 12 | 0 0 12 12 8 | 0 8 8
-------------------+-------+----------------+----------------+----------------+-------
x.. ... ... ... | 2 0 0 | 1 * * * * * ♦ 6 0 0 0 0 0 | 12 0 0 0 0 | 8 0 0
oo. oo.3oo.4oo.&#x | 1 1 0 | * 12 * * * * ♦ 1 4 1 0 0 0 | 4 4 4 0 0 | 4 4 0
o.o o.o3o.o4o.o&#x | 1 0 1 | * * 2 * * * ♦ 0 0 6 0 0 0 | 0 0 12 0 0 | 0 8 0
... .x. ... ... | 0 2 0 | * * * 12 * * ♦ 0 2 0 2 0 2 | 1 4 2 1 4 | 2 4 2
.oo .oo3.oo4.oo&#x | 0 1 1 | * * * * 12 * ♦ 0 0 1 0 1 4 | 0 0 4 4 4 | 0 4 4
..x ... ... ... | 0 0 2 | * * * * * 1 ♦ 0 0 0 0 6 0 | 0 0 0 12 0 | 0 0 8
-------------------+-------+----------------+----------------+----------------+-------
xo. ... ... ...&#x | 2 1 0 | 1 2 0 0 0 0 | 6 * * * * * | 4 0 0 0 0 | 4 0 0
... ox. ... ...&#x | 1 2 0 | 0 2 0 1 0 0 | * 24 * * * * | 1 2 1 0 0 | 2 2 0
ooo ooo3ooo4ooo&#x | 1 1 1 | 0 1 1 0 1 0 | * * 12 * * * | 0 0 4 0 0 | 0 4 0
... .x.3.o. ... | 0 3 0 | 0 0 0 3 0 0 | * * * 8 * * | 0 2 0 0 2 | 1 2 1
.ox ... ... ...&#x | 0 1 2 | 0 0 0 0 2 1 | * * * * 6 * | 0 0 0 4 0 | 0 0 4
... .xo ... ...&#x | 0 2 1 | 0 0 0 1 2 0 | * * * * * 24 | 0 0 1 1 2 | 0 2 2
-------------------+-------+----------------+----------------+----------------+-------
xo. ox. ... ...&#x ♦ 2 2 0 | 1 4 0 1 0 0 | 2 2 0 0 0 0 | 12 * * * * | 2 0 0
... ox.3oo. ...&#x ♦ 1 3 0 | 0 3 0 3 0 0 | 0 3 0 1 0 0 | * 16 * * * | 1 1 0
... oxo ... ...&#x ♦ 1 2 1 | 0 2 1 1 2 0 | 0 1 2 0 0 1 | * * 24 * * | 0 2 0
.ox .xo ... ...&#x ♦ 0 2 2 | 0 0 0 1 4 1 | 0 0 0 0 2 2 | * * * 12 * | 0 0 2
... .xo3.oo ...&#x ♦ 0 3 1 | 0 0 0 3 3 0 | 0 0 0 1 0 3 | * * * * 16 | 0 1 1
-------------------+-------+----------------+----------------+----------------+-------
xo. ox.3oo. ...&#x ♦ 2 3 0 | 1 6 0 3 0 0 | 3 6 0 1 0 0 | 3 2 0 0 0 | 8 * *
... oxo3ooo ...&#x ♦ 1 3 1 | 0 3 1 3 3 0 | 0 3 3 1 0 3 | 0 1 3 0 1 | * 16 *
.ox .xo3.oo ...&#x ♦ 0 3 2 | 0 0 0 3 6 1 | 0 0 0 1 3 6 | 0 0 0 3 2 | * * 8
or
o.. o..3o..4o.. & | 4 * ♦ 1 6 1 0 | 6 12 6 0 | 12 8 12 | 8 8
.o. .o.3.o.4.o. | * 6 ♦ 0 4 0 4 | 2 16 2 4 | 8 16 8 | 8 8
----------------------+-----+-----------+------------+----------+------
x.. ... ... ... & | 2 0 | 2 * * * ♦ 6 0 0 0 | 12 0 0 | 8 0
oo. oo.3oo.4oo.&#x & | 1 1 | * 24 * * ♦ 1 4 1 0 | 4 4 4 | 4 4
o.o o.o3o.o4o.o&#x | 2 0 | * * 2 * ♦ 0 0 6 0 | 0 0 12 | 0 8
... .x. ... ... | 0 2 | * * * 12 ♦ 0 4 0 2 | 2 8 2 | 4 4
----------------------+-----+-----------+------------+----------+------
xo. ... ... ...&#x & | 2 1 | 1 2 0 0 | 12 * * * | 4 0 0 | 4 0
... ox. ... ...&#x & | 1 2 | 0 2 0 1 | * 48 * * | 1 2 1 | 2 2
ooo ooo3ooo4ooo&#x | 2 1 | 0 2 1 0 | * * 12 * | 0 0 4 | 0 4
... .x.3.o. ... | 0 3 | 0 0 0 3 | * * * 8 | 0 4 0 | 2 2
----------------------+-----+-----------+------------+----------+------
xo. ox. ... ...&#x & ♦ 2 2 | 1 4 0 1 | 2 2 0 0 | 24 * * | 2 0
... ox.3oo. ...&#x & ♦ 1 3 | 0 3 0 3 | 0 3 0 1 | * 32 * | 1 1
... oxo ... ...&#x ♦ 2 2 | 0 4 1 1 | 0 2 2 0 | * * 24 | 0 2
----------------------+-----+-----------+------------+----------+------
xo. ox.3oo. ...&#x & ♦ 2 3 | 1 6 0 3 | 3 6 0 1 | 3 2 0 | 16 *
... oxo3ooo ...&#x ♦ 2 3 | 0 6 1 3 | 0 6 3 1 | 0 2 3 | * 16
xox ooo3oxo3ooo&#xt → both heights = 1/2
(line || perp pseudo oct || line)
o.. o..3o..3o.. | 2 * * ♦ 1 6 1 0 0 0 | 6 12 6 0 0 0 0 | 12 4 4 12 0 0 0 | 4 4 4 4 0 0
.o. .o.3.o.3.o. | * 6 * ♦ 0 2 0 4 2 0 | 1 8 2 2 2 1 8 | 4 4 4 8 4 4 4 | 2 2 4 4 2 2
..o ..o3..o3..o | * * 2 ♦ 0 0 1 0 6 1 | 0 0 6 0 0 6 12 | 0 0 0 12 12 4 4 | 0 0 4 4 4 4
-------------------+-------+----------------+------------------+------------------+------------
x.. ... ... ... | 2 0 0 | 1 * * * * * ♦ 6 0 0 0 0 0 0 | 12 0 0 0 0 0 0 | 4 4 0 0 0 0
oo. oo.3oo.3oo.&#x | 1 1 0 | * 12 * * * * ♦ 1 4 1 0 0 0 0 | 4 2 2 4 0 0 0 | 2 2 2 2 0 0
o.o o.o3o.o3o.o&#x | 1 0 1 | * * 2 * * * ♦ 0 0 6 0 0 0 0 | 0 0 0 12 0 0 0 | 0 0 4 4 0 0
... ... .x. ... | 0 2 0 | * * * 12 * * ♦ 0 2 0 1 1 0 2 | 1 2 2 2 1 2 2 | 1 1 2 2 1 1
.oo .oo3.oo3.oo&#x | 0 1 1 | * * * * 12 * ♦ 0 0 1 0 0 1 4 | 0 0 0 4 4 2 2 | 0 0 2 2 2 2
..x ... ... ... | 0 0 2 | * * * * * 1 ♦ 0 0 0 0 0 6 0 | 0 0 0 0 12 0 0 | 0 0 0 0 4 4
-------------------+-------+----------------+------------------+------------------+------------
xo. ... ... ...&#x | 2 1 0 | 1 2 0 0 0 0 | 6 * * * * * * | 4 0 0 0 0 0 0 | 2 2 0 0 0 0
... ... ox. ...&#x | 1 2 0 | 0 2 0 1 0 0 | * 24 * * * * * | 1 1 1 1 0 0 0 | 1 1 1 1 0 0
ooo ooo3ooo3ooo&#x | 1 1 1 | 0 1 1 0 1 0 | * * 12 * * * * | 0 0 0 4 0 0 0 | 0 0 2 2 0 0
... .o.3.x. ... | 0 3 0 | 0 0 0 3 0 0 | * * * 4 * * * | 0 2 0 0 0 2 0 | 1 0 2 0 1 0
... ... .x.3.o. | 0 3 0 | 0 0 0 3 0 0 | * * * * 4 * * | 0 0 2 0 0 0 2 | 0 1 0 2 0 1
.ox ... ... ...&#x | 0 1 2 | 0 0 0 0 2 1 | * * * * * 6 * | 0 0 0 0 4 0 0 | 0 0 0 0 2 2
... ... .xo ...&#x | 0 2 1 | 0 0 0 1 2 0 | * * * * * * 24 | 0 0 0 1 1 1 1 | 0 0 1 1 1 1
-------------------+-------+----------------+------------------+------------------+------------
xo. ... ox. ...&#x ♦ 2 2 0 | 1 4 0 1 0 0 | 2 2 0 0 0 0 0 | 12 * * * * * * | 1 1 0 0 0 0
... oo.3ox. ...&#x ♦ 1 3 0 | 0 3 0 3 0 0 | 0 3 0 1 0 0 0 | * 8 * * * * * | 1 0 1 0 0 0
... ... ox.3oo.&#x ♦ 1 3 0 | 0 3 0 3 0 0 | 0 3 0 0 1 0 0 | * * 8 * * * * | 0 1 0 1 0 0
... ... oxo ...&#x ♦ 1 2 1 | 0 2 1 1 2 0 | 0 1 2 0 0 0 1 | * * * 24 * * * | 0 0 1 1 0 0
.ox ... .xo ...&#x ♦ 0 2 2 | 0 0 0 1 4 1 | 0 0 0 0 0 2 2 | * * * * 12 * * | 0 0 0 0 1 1
... .oo3.xo ...&#x ♦ 0 3 1 | 0 0 0 3 3 0 | 0 0 0 1 0 0 3 | * * * * * 8 * | 0 0 1 0 1 0
... ... .xo3.oo&#x ♦ 0 3 1 | 0 0 0 3 3 0 | 0 0 0 0 1 0 3 | * * * * * * 8 | 0 0 0 1 0 1
-------------------+-------+----------------+------------------+------------------+------------
xo. oo.3ox. ...&#x ♦ 2 3 0 | 1 6 0 3 0 0 | 3 6 0 1 0 0 0 | 3 2 0 0 0 0 0 | 4 * * * * *
xo. ... ox.3oo.&#x ♦ 2 3 0 | 1 6 0 3 0 0 | 3 6 0 0 1 0 0 | 3 0 2 0 0 0 0 | * 4 * * * *
... ooo3oxo ...&#x ♦ 1 3 1 | 0 3 1 3 3 0 | 0 3 3 1 0 0 3 | 0 1 0 3 0 1 0 | * * 8 * * *
... ... oxo3ooo&#x ♦ 1 3 1 | 0 3 1 3 3 0 | 0 3 3 0 1 0 3 | 0 0 1 3 0 0 1 | * * * 8 * *
.ox .oo3.xo ...&#x ♦ 0 3 2 | 0 0 0 3 6 1 | 0 0 0 1 0 3 6 | 0 0 0 0 3 2 0 | * * * * 4 *
.ox ... .xo3.oo&#x ♦ 0 3 2 | 0 0 0 3 6 1 | 0 0 0 0 1 3 6 | 0 0 0 0 3 0 2 | * * * * * 4
or
o.. o..3o..3o.. & | 4 * ♦ 1 6 1 0 | 6 12 6 0 0 | 12 4 4 12 | 4 4 4 4
.o. .o.3.o.3.o. | * 6 ♦ 0 4 0 4 | 2 16 2 2 2 | 8 8 8 8 | 4 4 4 4
----------------------+-----+-----------+--------------+-------------+--------
x.. ... ... ... & | 2 0 | 2 * * * ♦ 6 0 0 0 0 | 12 0 0 0 | 4 4 0 0
oo. oo.3oo.3oo.&#x & | 1 1 | * 24 * * ♦ 1 4 1 0 0 | 4 2 2 4 | 2 2 2 2
o.o o.o3o.o3o.o&#x | 2 0 | * * 2 * ♦ 0 0 6 0 0 | 0 0 0 12 | 0 0 4 4
... ... .x. ... | 0 2 | * * * 12 ♦ 0 4 0 1 1 | 2 4 4 2 | 2 2 2 2
----------------------+-----+-----------+--------------+-------------+--------
xo. ... ... ...&#x & | 2 1 | 1 2 0 0 | 12 * * * * | 4 0 0 0 | 2 2 0 0
... ... ox. ...&#x & | 1 2 | 0 2 0 1 | * 48 * * * | 1 1 1 1 | 1 1 1 1
ooo ooo3ooo3ooo&#x | 2 1 | 0 2 1 0 | * * 12 * * | 0 0 0 4 | 0 0 2 2
... .o.3.x. ... | 0 3 | 0 0 0 3 | * * * 4 * | 0 4 0 0 | 2 0 2 0
... ... .x.3.o. | 0 3 | 0 0 0 3 | * * * * 4 | 0 0 4 0 | 0 2 0 2
----------------------+-----+-----------+--------------+-------------+--------
xo. ... ox. ...&#x & ♦ 2 2 | 1 4 0 1 | 2 2 0 0 0 | 24 * * * | 1 1 0 0
... oo.3ox. ...&#x & ♦ 1 3 | 0 3 0 3 | 0 3 0 1 0 | * 16 * * | 1 0 1 0
... ... ox.3oo.&#x & ♦ 1 3 | 0 3 0 3 | 0 3 0 0 1 | * * 16 * | 0 1 0 1
... ... oxo ...&#x ♦ 2 2 | 0 4 1 1 | 0 2 2 0 0 | * * * 24 | 0 0 1 1
----------------------+-----+-----------+--------------+-------------+--------
xo. oo.3ox. ...&#x & ♦ 2 3 | 1 6 0 3 | 3 6 0 1 0 | 3 2 0 0 | 8 * * *
xo. ... ox.3oo.&#x & ♦ 2 3 | 1 6 0 3 | 3 6 0 0 1 | 3 0 2 0 | * 8 * *
... ooo3oxo ...&#x ♦ 2 3 | 0 6 1 3 | 0 6 3 1 0 | 0 2 0 3 | * * 8 *
... ... oxo3ooo&#x ♦ 2 3 | 0 6 1 3 | 0 6 3 0 1 | 0 0 2 3 | * * * 8
xoo3oox oxo4ooo&#xt → both heights = 1/sqrt(6) = 0.408248
({3} || perp pseudo {4} || dual {3})
o..3o.. o..4o.. | 3 * * ♦ 2 4 2 0 0 0 | 1 8 4 2 1 8 0 0 0 | 4 8 8 4 8 0 0 | 4 8 4 0
.o.3.o. .o.4.o. | * 4 * ♦ 0 3 0 2 3 0 | 0 3 6 0 0 6 3 6 0 | 1 6 3 3 12 1 6 | 2 6 6 2
..o3..o ..o4..o | * * 3 ♦ 0 0 2 0 4 2 | 0 0 0 1 2 8 8 4 1 | 0 0 4 8 8 4 8 | 0 4 8 4
-------------------+-------+---------------+------------------------+--------------------+----------
x.. ... ... ... | 2 0 0 | 3 * * * * * ♦ 1 4 0 1 0 0 0 0 0 | 4 4 4 0 0 0 0 | 4 4 0 0
oo.3oo. oo.4oo.&#x | 1 1 0 | * 12 * * * * ♦ 0 2 2 0 0 2 0 0 0 | 1 4 2 1 4 0 0 | 2 4 2 0
o.o3o.o o.o4o.o&#x | 1 0 1 | * * 6 * * * ♦ 0 0 0 1 1 4 0 0 0 | 0 0 4 4 4 0 0 | 0 4 4 0
... ... .x. ... | 0 2 0 | * * * 4 * * ♦ 0 0 3 0 0 0 0 3 0 | 0 3 0 0 6 0 3 | 1 3 3 1
.oo3.oo .oo4.oo&#x | 0 1 1 | * * * * 12 * ♦ 0 0 0 0 0 2 2 2 0 | 0 0 1 2 4 1 4 | 0 2 4 2
... ..x ... ... | 0 0 2 | * * * * * 3 ♦ 0 0 0 0 1 0 4 0 1 | 0 0 0 4 0 4 4 | 0 0 4 4
-------------------+-------+---------------+------------------------+--------------------+----------
x..3o.. ... ... | 3 0 0 | 3 0 0 0 0 0 | 1 * * * * * * * * | 4 0 0 0 0 0 0 | 4 0 0 0
xo. ... ... ...&#x | 2 1 0 | 1 2 0 0 0 0 | * 12 * * * * * * * | 1 2 1 0 0 0 0 | 2 2 0 0
... ... ox. ...&#x | 1 2 0 | 0 2 0 1 0 0 | * * 12 * * * * * * | 0 2 0 0 2 0 0 | 1 2 1 0
x.o ... ... ...&#x | 2 0 1 | 1 0 2 0 0 0 | * * * 3 * * * * * | 0 0 4 0 0 0 0 | 0 4 0 0
... o.x ... ...&#x | 1 0 2 | 0 0 2 0 0 1 | * * * * 3 * * * * | 0 0 0 4 0 0 0 | 0 0 4 0
ooo3ooo ooo4ooo&#x | 1 1 1 | 0 1 1 0 1 0 | * * * * * 24 * * * | 0 0 1 1 2 0 0 | 0 2 2 0
... .ox ... ...&#x | 0 1 2 | 0 0 0 0 2 1 | * * * * * * 12 * * | 0 0 0 1 0 1 2 | 0 0 2 2
... ... .xo ...&#x | 0 2 1 | 0 0 0 1 2 0 | * * * * * * * 12 * | 0 0 0 0 2 0 2 | 0 1 2 1
..o3..x ... ... | 0 0 3 | 0 0 0 0 0 3 | * * * * * * * * 1 | 0 0 0 0 0 4 0 | 0 0 0 4
-------------------+-------+---------------+------------------------+--------------------+----------
xo.3oo. ... ...&#x ♦ 3 1 0 | 3 3 0 0 0 0 | 1 3 0 0 0 0 0 0 0 | 4 * * * * * * | 2 0 0 0
xo. ... ox. ...&#x ♦ 2 2 0 | 1 4 0 1 0 0 | 0 2 2 0 0 0 0 0 0 | * 12 * * * * * | 1 1 0 0
xoo ... ... ...&#x ♦ 2 1 1 | 1 2 2 0 1 0 | 0 1 0 1 0 2 0 0 0 | * * 12 * * * * | 0 2 0 0
... oox ... ...&#x ♦ 1 1 2 | 0 1 2 0 2 1 | 0 0 0 0 1 2 1 0 0 | * * * 12 * * * | 0 0 2 0
... ... oxo ...&#x ♦ 1 2 1 | 0 2 1 1 2 0 | 0 0 1 0 0 2 0 1 0 | * * * * 24 * * | 0 1 1 0
.oo3.ox ... ...&#x ♦ 0 1 3 | 0 0 0 0 3 3 | 0 0 0 0 0 0 3 0 1 | * * * * * 4 * | 0 0 0 2
... .ox .xo ...&#x ♦ 0 2 2 | 0 0 0 1 4 1 | 0 0 0 0 0 0 2 2 0 | * * * * * * 12 | 0 0 1 1
-------------------+-------+---------------+------------------------+--------------------+----------
xo.3oo. ox. ...&#x ♦ 3 2 0 | 3 6 0 1 0 0 | 1 6 3 0 0 0 0 0 0 | 2 3 0 0 0 0 0 | 4 * * *
xoo ... oxo ...&#x ♦ 2 2 1 | 1 4 2 1 2 0 | 0 2 2 1 0 4 0 1 0 | 0 1 2 0 2 0 0 | * 12 * *
... oox oxo ...&#x ♦ 1 2 2 | 0 2 2 1 4 1 | 0 0 1 0 1 4 2 2 0 | 0 0 0 2 2 0 1 | * * 12 *
.oo3.ox .xo ...&#x ♦ 0 2 3 | 0 0 0 1 6 3 | 0 0 0 0 0 0 6 3 1 | 0 0 0 0 0 2 3 | * * * 4
or
o..3o.. o..4o.. & | 6 * ♦ 2 4 2 0 | 1 8 4 3 8 | 4 8 12 8 | 4 12
.o.3.o. .o.4.o. | * 4 ♦ 0 6 0 2 | 0 6 12 0 6 | 2 12 6 12 | 4 12
---------------------+-----+----------+--------------+------------+-----
x.. ... ... ... & | 2 0 | 6 * * * ♦ 1 4 0 1 0 | 4 4 4 0 | 4 4
oo.3oo. oo.4oo.&#x & | 1 1 | * 24 * * ♦ 0 2 2 0 2 | 1 4 3 4 | 2 6
o.o3o.o o.o4o.o&#x | 2 0 | * * 6 * ♦ 0 0 0 2 4 | 0 0 8 4 | 0 8
... ... .x. ... | 0 2 | * * * 4 ♦ 0 0 6 0 0 | 0 6 0 6 | 2 6
---------------------+-----+----------+--------------+------------+-----
x..3o.. ... ... & | 3 0 | 3 0 0 0 | 2 * * * * | 4 0 0 0 | 4 0
xo. ... ... ...&#x & | 2 1 | 1 2 0 0 | * 24 * * * | 1 2 1 0 | 2 2
... ... ox. ...&#x & | 1 2 | 0 2 0 1 | * * 24 * * | 0 2 0 2 | 1 3
x.o ... ... ...&#x & | 3 0 | 1 0 2 0 | * * * 6 * | 0 0 4 0 | 0 4
ooo3ooo ooo4ooo&#x | 2 1 | 0 2 1 0 | * * * * 24 | 0 0 2 2 | 0 4
---------------------+-----+----------+--------------+------------+-----
xo.3oo. ... ...&#x & ♦ 3 1 | 3 3 0 0 | 1 3 0 0 0 | 8 * * * | 2 0
xo. ... ox. ...&#x & ♦ 2 2 | 1 4 0 1 | 0 2 2 0 0 | * 24 * * | 1 1
xoo ... ... ...&#x & ♦ 3 1 | 1 3 2 0 | 0 1 0 1 2 | * * 24 * | 0 2
... ... oxo ...&#x ♦ 2 2 | 0 4 1 1 | 0 0 2 0 2 | * * * 24 | 0 2
---------------------+-----+----------+--------------+------------+-----
xo.3oo. ox. ...&#x & ♦ 3 2 | 3 6 0 1 | 1 6 3 0 0 | 2 3 0 0 | 8 *
xoo ... oxo ...&#x & ♦ 3 2 | 1 6 2 1 | 0 2 3 1 4 | 0 1 2 2 | * 24
oxo oxo xoo3oox&#xt → both heights = 1/sqrt(6) = 0.408248
({3} || perp pseudo {4} || dual {3})
o.. o.. o..3o.. | 3 * * ♦ 2 4 2 0 0 0 0 | 1 2 2 8 2 1 8 0 0 0 0 | 4 4 4 4 4 8 4 0 0 0 | 2 2 4 2 4 2 0 0
.o. .o. .o.3.o. | * 4 * ♦ 0 3 0 1 1 3 0 | 0 3 3 3 0 0 6 3 3 3 0 | 3 3 1 6 6 3 3 3 3 1 | 1 1 3 3 3 3 1 1
..o ..o ..o3..o | * * 3 ♦ 0 0 2 0 0 4 2 | 0 0 0 0 1 2 8 2 2 8 1 | 0 0 0 4 4 4 8 4 4 4 | 0 0 2 4 2 4 2 2
-------------------+-------+-----------------+--------------------------+-------------------------+----------------
... ... x.. ... | 2 0 0 | 3 * * * * * * ♦ 1 0 0 4 1 0 0 0 0 0 0 | 2 2 4 0 0 4 0 0 0 0 | 2 2 2 0 2 0 0 0
oo. oo. oo.3oo.&#x | 1 1 0 | * 12 * * * * * ♦ 0 1 1 2 0 0 2 0 0 0 0 | 2 2 1 2 2 2 1 0 0 0 | 1 1 2 1 2 1 0 0
o.o o.o o.o3o.o&#x | 1 0 1 | * * 6 * * * * ♦ 0 0 0 0 1 1 4 0 0 0 0 | 0 0 0 2 2 4 4 0 0 0 | 0 0 2 2 2 2 0 0
.x. ... ... ... | 0 2 0 | * * * 2 * * * ♦ 0 3 0 0 0 0 0 3 0 0 0 | 3 0 0 6 0 0 0 3 0 0 | 1 0 3 3 0 0 1 0
... .x. ... ... | 0 2 0 | * * * * 2 * * ♦ 0 0 3 0 0 0 0 0 3 0 0 | 0 3 0 0 6 0 0 0 3 0 | 0 1 0 0 3 3 0 1
.oo .oo .oo3.oo&#x | 0 1 1 | * * * * * 12 * ♦ 0 0 0 0 0 0 2 1 1 2 0 | 0 0 0 2 2 1 2 2 2 1 | 0 0 1 2 1 2 1 1
... ... ... ..x | 0 0 2 | * * * * * * 3 ♦ 0 0 0 0 0 1 0 0 0 4 1 | 0 0 0 0 0 0 4 2 2 4 | 0 0 0 2 0 2 2 2
-------------------+-------+-----------------+--------------------------+-------------------------+----------------
... ... x..3o.. | 3 0 0 | 3 0 0 0 0 0 0 | 1 * * * * * * * * * * | 0 0 4 0 0 0 0 0 0 0 | 2 2 0 0 0 0 0 0
ox. ... ... ...&#x | 1 2 0 | 0 2 0 1 0 0 0 | * 6 * * * * * * * * * | 2 0 0 2 0 0 0 0 0 0 | 1 0 2 1 0 0 0 0
... ox. ... ...&#x | 1 2 0 | 0 2 0 0 1 0 0 | * * 6 * * * * * * * * | 0 2 0 0 2 0 0 0 0 0 | 0 1 0 0 2 1 0 0
... ... xo. ...&#x | 2 1 0 | 1 2 0 0 0 0 0 | * * * 12 * * * * * * * | 1 1 1 0 0 1 0 0 0 0 | 1 1 1 0 1 0 0 0
... ... x.o ...&#x | 2 0 1 | 1 0 2 0 0 0 0 | * * * * 3 * * * * * * | 0 0 0 0 0 4 0 0 0 0 | 0 0 2 0 2 0 0 0
... ... ... o.x&#x | 1 0 2 | 0 0 2 0 0 0 1 | * * * * * 3 * * * * * | 0 0 0 0 0 0 4 0 0 0 | 0 0 0 2 0 2 0 0
ooo ooo ooo3ooo&#x | 1 1 1 | 0 1 1 0 0 1 0 | * * * * * * 24 * * * * | 0 0 0 1 1 1 1 0 0 0 | 0 0 1 1 1 1 0 0
.xo ... ... ...&#x | 0 2 1 | 0 0 0 1 0 2 0 | * * * * * * * 6 * * * | 0 0 0 2 0 0 0 2 0 0 | 0 0 1 2 0 0 1 0
... .xo ... ...&#x | 0 2 1 | 0 0 0 0 1 2 0 | * * * * * * * * 6 * * | 0 0 0 0 2 0 0 0 2 0 | 0 0 0 0 1 2 0 1
... ... ... .ox&#x | 0 1 2 | 0 0 0 0 0 2 1 | * * * * * * * * * 12 * | 0 0 0 0 0 0 1 1 1 1 | 0 0 0 1 0 1 1 1
... ... ..o3..x | 0 0 3 | 0 0 0 0 0 0 3 | * * * * * * * * * * 1 | 0 0 0 0 0 0 0 0 0 4 | 0 0 0 0 0 0 2 2
-------------------+-------+-----------------+--------------------------+-------------------------+----------------
ox. ... xo. ...&#x ♦ 2 2 0 | 1 4 0 1 0 0 0 | 0 2 0 2 0 0 0 0 0 0 0 | 6 * * * * * * * * * | 1 0 1 0 0 0 0 0
... ox. xo. ...&#x ♦ 2 2 0 | 1 4 0 0 1 0 0 | 0 0 2 2 0 0 0 0 0 0 0 | * 6 * * * * * * * * | 0 1 0 0 1 0 0 0
... ... xo.3oo.&#x ♦ 3 1 0 | 3 3 0 0 0 0 0 | 1 0 0 3 0 0 0 0 0 0 0 | * * 4 * * * * * * * | 1 1 0 0 0 0 0 0
oxo ... ... ...&#x ♦ 1 2 1 | 0 2 1 1 0 2 0 | 0 1 0 0 0 0 2 1 0 0 0 | * * * 12 * * * * * * | 0 0 1 1 0 0 0 0
... oxo ... ...&#x ♦ 1 2 1 | 0 2 1 0 1 2 0 | 0 0 1 0 0 0 2 0 1 0 0 | * * * * 12 * * * * * | 0 0 0 0 1 1 0 0
... ... xoo ...&#x ♦ 2 1 1 | 1 2 2 0 0 1 0 | 0 0 0 1 1 0 2 0 0 0 0 | * * * * * 12 * * * * | 0 0 1 0 1 0 0 0
... ... ... oox&#x ♦ 1 1 2 | 0 1 2 0 0 2 1 | 0 0 0 0 0 1 2 0 0 1 0 | * * * * * * 12 * * * | 0 0 0 1 0 1 0 0
.xo ... ... .ox&#x ♦ 0 2 2 | 0 0 0 1 0 4 1 | 0 0 0 0 0 0 0 2 0 2 0 | * * * * * * * 6 * * | 0 0 0 1 0 0 1 0
... .xo ... .ox&#x ♦ 0 2 2 | 0 0 0 0 1 4 1 | 0 0 0 0 0 0 0 0 2 2 0 | * * * * * * * * 6 * | 0 0 0 0 0 1 0 1
... ... .oo3.ox&#x ♦ 0 1 3 | 0 0 0 0 0 3 3 | 0 0 0 0 0 0 0 0 0 3 1 | * * * * * * * * * 4 | 0 0 0 0 0 0 1 1
-------------------+-------+-----------------+--------------------------+-------------------------+----------------
ox. ... xo.3oo.&#x ♦ 3 2 0 | 3 6 0 1 0 0 0 | 1 3 0 6 0 0 0 0 0 0 0 | 3 0 2 0 0 0 0 0 0 0 | 2 * * * * * * *
... ox. xo.3oo.&#x ♦ 3 2 0 | 3 6 0 0 1 0 0 | 1 0 3 6 0 0 0 0 0 0 0 | 0 3 2 0 0 0 0 0 0 0 | * 2 * * * * * *
oxo ... xoo ...&#x ♦ 2 2 1 | 1 4 2 1 0 2 0 | 0 2 0 2 1 0 4 1 0 0 0 | 1 0 0 2 0 2 0 0 0 0 | * * 6 * * * * *
oxo ... ... oox&#x ♦ 1 2 2 | 0 2 2 1 0 4 1 | 0 1 0 0 0 1 4 2 0 2 0 | 0 0 0 2 0 0 2 1 0 0 | * * * 6 * * * *
... oxo xoo ...&#x ♦ 2 2 1 | 1 4 2 0 1 2 0 | 0 0 2 2 1 0 4 0 1 0 0 | 0 1 0 0 2 2 0 0 0 0 | * * * * 6 * * *
... oxo ... oox&#x ♦ 1 2 2 | 0 2 2 0 1 4 1 | 0 0 1 0 0 1 4 0 2 2 0 | 0 0 0 0 2 0 2 0 1 0 | * * * * * 6 * *
.xo ... .oo3.ox&#x ♦ 0 2 3 | 0 0 0 1 0 6 3 | 0 0 0 0 0 0 0 3 0 6 1 | 0 0 0 0 0 0 0 3 0 2 | * * * * * * 2 *
... .xo .oo3.ox&#x ♦ 0 2 3 | 0 0 0 0 1 6 3 | 0 0 0 0 0 0 0 0 3 6 1 | 0 0 0 0 0 0 0 0 3 2 | * * * * * * * 2
or
o.. o.. o..3o.. & | 6 * ♦ 2 4 2 0 0 | 1 2 2 8 3 8 | 4 4 4 4 4 12 | 2 2 6 6
.o. .o. .o.3.o. | * 4 ♦ 0 6 0 1 1 | 0 6 6 6 0 6 | 6 6 2 6 6 6 | 2 2 6 6
---------------------+-----+------------+-----------------+------------------+----------
... ... x.. ... & | 2 0 | 6 * * * * ♦ 1 0 0 4 1 0 | 2 2 4 0 0 4 | 2 2 2 2
oo. oo. oo.3oo.&#x & | 1 1 | * 24 * * * ♦ 0 1 1 2 0 2 | 2 2 1 2 2 3 | 1 1 3 3
o.o o.o o.o3o.o&#x | 2 0 | * * 6 * * ♦ 0 0 0 0 2 4 | 0 0 0 2 2 8 | 0 0 4 4
.x. ... ... ... | 0 2 | * * * 2 * ♦ 0 6 0 0 0 0 | 6 0 0 6 0 0 | 2 0 6 0
... .x. ... ... | 0 2 | * * * * 2 ♦ 0 0 6 0 0 0 | 0 6 0 0 6 0 | 0 2 0 6
---------------------+-----+------------+-----------------+------------------+----------
... ... x..3o.. & | 3 0 | 3 0 0 0 0 | 2 * * * * * | 0 0 4 0 0 0 | 2 2 0 0
ox. ... ... ...&#x & | 1 2 | 0 2 0 1 0 | * 12 * * * * | 2 0 0 2 0 0 | 1 0 3 0
... ox. ... ...&#x & | 1 2 | 0 2 0 0 1 | * * 12 * * * | 0 2 0 0 2 0 | 0 1 0 3
... ... xo. ...&#x & | 2 1 | 1 2 0 0 0 | * * * 24 * * | 1 1 1 0 0 1 | 1 1 1 1
... ... x.o ...&#x & | 3 0 | 1 0 2 0 0 | * * * * 6 * | 0 0 0 0 0 4 | 0 0 2 2
ooo ooo ooo3ooo&#x | 2 1 | 0 2 1 0 0 | * * * * * 24 | 0 0 0 1 1 2 | 0 0 2 2
---------------------+-----+------------+-----------------+------------------+----------
ox. ... xo. ...&#x & ♦ 2 2 | 1 4 0 1 0 | 0 2 0 2 0 0 | 12 * * * * * | 1 0 1 0
... ox. xo. ...&#x & ♦ 2 2 | 1 4 0 0 1 | 0 0 2 2 0 0 | * 12 * * * * | 0 1 0 1
... ... xo.3oo.&#x & ♦ 3 1 | 3 3 0 0 0 | 1 0 0 3 0 0 | * * 8 * * * | 1 1 0 0
oxo ... ... ...&#x ♦ 2 2 | 0 4 1 1 0 | 0 2 0 0 0 2 | * * * 12 * * | 0 0 2 0
... oxo ... ...&#x ♦ 2 2 | 0 4 1 0 1 | 0 0 2 0 0 2 | * * * * 12 * | 0 0 0 2
... ... xoo ...&#x & ♦ 3 1 | 1 3 2 0 0 | 0 0 0 1 1 2 | * * * * * 24 | 0 0 1 1
---------------------+-----+------------+-----------------+------------------+----------
ox. ... xo.3oo.&#x & ♦ 3 2 | 3 6 0 1 0 | 1 3 0 6 0 0 | 3 0 2 0 0 0 | 4 * * *
... ox. xo.3oo.&#x & ♦ 3 2 | 3 6 0 0 1 | 1 0 3 6 0 0 | 0 3 2 0 0 0 | * 4 * *
oxo ... xoo ...&#x & ♦ 3 2 | 1 6 2 1 0 | 0 3 0 2 1 4 | 1 0 0 2 0 2 | * * 12 *
... oxo xoo ...&#x & ♦ 3 2 | 1 6 2 0 1 | 0 0 3 2 1 4 | 0 1 0 0 2 2 | * * * 12
ox4oo xo3oo4oo&#zx → height = 0
(tegum sum of oct and perp {4})
o.4o. o.3o.4o. | 6 * ♦ 4 4 0 | 4 4 16 | 16 16 | 16
.o4.o .o3.o4.o | * 4 ♦ 0 6 2 | 0 12 12 | 24 8 | 16
-------------------+-----+---------+---------+-------+---
.. .. x. .. .. | 2 0 | 12 * * ♦ 2 0 4 | 4 8 | 8
oo4oo oo3oo4oo&#x | 1 1 | * 24 * ♦ 0 2 4 | 8 4 | 8
.x .. .. .. .. | 0 2 | * * 4 ♦ 0 6 0 | 12 0 | 8
-------------------+-----+---------+---------+-------+---
.. .. x.3o. .. | 3 0 | 3 0 0 | 8 * * | 0 4 | 4
ox .. .. .. ..&#x | 1 2 | 0 2 1 | * 24 * | 4 0 | 4
.. .. xo .. ..&#x | 2 1 | 1 2 0 | * * 48 | 2 2 | 4
-------------------+-----+---------+---------+-------+---
ox .. xo .. ..&#x ♦ 2 2 | 1 4 1 | 0 2 2 | 48 * | 2
.. .. xo3oo ..&#x ♦ 3 1 | 3 3 0 | 1 0 3 | * 32 | 2
-------------------+-----+---------+---------+-------+---
ox .. xo3oo ..&#x ♦ 3 2 | 3 6 1 | 1 3 6 | 3 2 | 32
xoo3ooo3oox oqo&#xt → both heights = 1/sqrt(8) = 0.353553
(tet || pseudo perp q-line || dual tet)
o..3o..3o.. o.. | 4 * * ♦ 3 2 3 0 0 | 3 6 6 3 6 0 0 | 1 6 3 3 1 12 6 0 0 | 2 6 6 2 0
.o.3.o.3.o. .o. | * 2 * ♦ 0 4 0 4 0 | 0 6 0 0 12 6 0 | 0 4 0 0 0 12 12 4 0 | 1 4 6 4 1
..o3..o3..o ..o | * * 4 ♦ 0 0 3 2 3 | 0 0 3 6 6 6 3 | 0 0 1 3 3 6 12 6 1 | 0 2 6 6 2
--------------------+-------+------------+--------------------+---------------------+-----------
x.. ... ... ... | 2 0 0 | 6 * * * * ♦ 2 2 2 0 0 0 0 | 1 4 2 1 0 4 0 0 0 | 2 4 2 0 0
oo.3oo.3oo. oo.&#x | 1 1 0 | * 8 * * * ♦ 0 3 0 0 3 0 0 | 0 3 0 0 0 6 3 0 0 | 1 3 3 1 0
o.o3o.o3o.o o.o&#x | 1 0 1 | * * 12 * * ♦ 0 0 2 2 2 0 0 | 0 0 1 2 1 4 4 0 0 | 0 2 4 2 0
.oo3.oo3.oo .oo&#x | 0 1 1 | * * * 8 * ♦ 0 0 0 0 3 3 0 | 0 0 0 0 0 3 6 3 0 | 0 1 3 3 1
... ... ..x ... | 0 0 2 | * * * * 6 ♦ 0 0 0 2 0 2 2 | 0 0 0 1 2 0 4 4 1 | 0 0 2 4 2
--------------------+-------+------------+--------------------+---------------------+-----------
x..3o.. ... ... | 3 0 0 | 3 0 0 0 0 | 4 * * * * * * | 1 2 1 0 0 0 0 0 0 | 2 2 0 0 0
xo. ... ... ...&#x | 2 1 0 | 1 2 0 0 0 | * 12 * * * * * | 0 2 0 0 0 2 0 0 0 | 1 2 1 0 0
x.o ... ... ...&#x | 2 0 1 | 1 0 2 0 0 | * * 12 * * * * | 0 0 1 1 0 2 0 0 0 | 0 2 2 0 0
... ... o.x ...&#x | 1 0 2 | 0 0 2 0 1 | * * * 12 * * * | 0 0 0 1 1 0 2 0 0 | 0 0 2 2 0
ooo3ooo3ooo ooo&#x | 1 1 1 | 0 1 1 1 0 | * * * * 24 * * | 0 0 0 0 0 2 2 0 0 | 0 1 2 1 0
... ... .ox ...&#x | 0 1 2 | 0 0 0 2 1 | * * * * * 12 * | 0 0 0 0 0 0 2 2 0 | 0 0 1 2 1
... ..o3..x ... | 0 0 3 | 0 0 0 0 3 | * * * * * * 4 | 0 0 0 0 1 0 0 2 1 | 0 0 0 2 2
--------------------+-------+------------+--------------------+---------------------+-----------
x..3o..3o.. ... ♦ 4 0 0 | 6 0 0 0 0 | 4 0 0 0 0 0 0 | 1 * * * * * * * * | 2 0 0 0 0
xo.3oo. ... ...&#x ♦ 3 1 0 | 3 3 0 0 0 | 1 3 0 0 0 0 0 | * 8 * * * * * * * | 1 1 0 0 0
x.o3o.o ... ...&#x ♦ 3 0 1 | 3 0 3 0 0 | 1 0 3 0 0 0 0 | * * 4 * * * * * * | 0 2 0 0 0
x.o ... o.x ...&#x ♦ 2 0 2 | 1 0 4 0 1 | 0 0 2 2 0 0 0 | * * * 6 * * * * * | 0 0 2 0 0
... o.o3o.x ...&#x ♦ 1 0 3 | 0 0 3 0 3 | 0 0 0 3 0 0 1 | * * * * 4 * * * * | 0 0 0 2 0
xoo ... ... ...&#x ♦ 2 1 1 | 1 2 2 1 0 | 0 1 1 0 2 0 0 | * * * * * 24 * * * | 0 1 1 0 0
... ... oox ...&#x ♦ 1 1 2 | 0 1 2 2 1 | 0 0 0 1 2 1 0 | * * * * * * 24 * * | 0 0 1 1 0
... .oo3.ox ...&#x ♦ 0 1 3 | 0 0 0 3 3 | 0 0 0 0 0 3 1 | * * * * * * * 8 * | 0 0 0 1 1
..o3..o3..x ... ♦ 0 0 4 | 0 0 0 0 6 | 0 0 0 0 0 0 4 | * * * * * * * * 1 | 0 0 0 0 2
--------------------+-------+------------+--------------------+---------------------+-----------
xo.3oo.3oo. ...&#x ♦ 4 1 0 | 6 4 0 0 0 | 4 6 0 0 0 0 0 | 1 4 0 0 0 0 0 0 0 | 2 * * * *
xoo3ooo ... ...&#x ♦ 3 1 1 | 3 3 3 1 0 | 1 3 3 0 3 0 0 | 0 1 1 0 0 3 0 0 0 | * 8 * * *
xoo ... oox ...&#x ♦ 2 1 2 | 1 2 4 2 1 | 0 1 2 2 4 1 0 | 0 0 0 1 0 2 2 0 0 | * * 12 * *
... ooo3oox ...&#x ♦ 1 1 3 | 0 1 3 3 3 | 0 0 0 3 3 3 1 | 0 0 0 0 1 0 3 1 0 | * * * 8 *
.oo3.oo3.ox ...&#x ♦ 0 1 4 | 0 0 0 4 6 | 0 0 0 0 0 6 4 | 0 0 0 0 0 0 0 4 1 | * * * * 2
oxoo3oooo3ooox&#xr → all cyclical heights = sqrt(5/8) = 0.790569
in fact a rhomb with diagonals
height(1,3) = sqrt(2) = 1.414214
height(2,4) = 1/sqrt(2) = 0.707107
o...3o...3o... | 1 * * * ♦ 4 4 0 0 0 0 0 | 6 6 12 0 0 0 0 0 0 0 | 4 4 12 12 0 0 0 0 0 0 0 0 0 | 1 1 4 6 4 0 0 0 0 0
.o..3.o..3.o.. | * 4 * * ♦ 1 0 3 1 3 0 0 | 3 0 3 3 3 6 3 3 0 0 | 3 0 6 3 1 3 3 3 1 6 3 0 0 | 1 0 3 3 1 1 3 3 1 0
..o.3..o.3..o. | * * 1 * ♦ 0 0 0 4 0 4 0 | 0 0 0 0 6 0 0 12 6 0 | 0 0 0 0 0 4 0 0 0 12 12 4 0 | 0 0 0 0 0 1 4 6 4 1
...o3...o3...o | * * * 4 ♦ 0 1 0 0 3 1 3 | 0 3 3 0 0 3 6 3 3 3 | 0 3 3 6 0 0 1 3 3 3 6 3 1 | 0 1 1 3 3 0 1 3 3 1
------------------+---------+----------------+-------------------------+-------------------------------+--------------------
oo..3oo..3oo..&#x | 1 1 0 0 | 4 * * * * * * ♦ 3 0 3 0 0 0 0 0 0 0 | 3 0 6 3 0 0 0 0 0 0 0 0 0 | 1 0 3 3 1 0 0 0 0 0
o..o3o..o3o..o&#x | 1 0 0 1 | * 4 * * * * * ♦ 0 3 3 0 0 0 0 0 0 0 | 0 3 3 6 0 0 0 0 0 0 0 0 0 | 0 1 1 3 3 0 0 0 0 0
.x.. .... .... | 0 2 0 0 | * * 6 * * * * ♦ 1 0 0 2 1 2 0 0 0 0 | 2 0 2 0 1 2 2 1 0 2 0 0 0 | 1 0 2 1 0 1 2 1 0 0
.oo.3.oo.3.oo.&#x | 0 1 1 0 | * * * 4 * * * ♦ 0 0 0 0 3 0 0 3 0 0 | 0 0 0 0 0 3 0 0 0 6 3 0 0 | 0 0 0 0 0 1 3 3 1 0
.o.o3.o.o3.o.o&#x | 0 1 0 1 | * * * * 12 * * ♦ 0 0 1 0 0 2 2 1 0 0 | 0 0 2 2 0 0 1 2 1 2 2 0 0 | 0 0 1 2 1 0 1 2 1 0
..oo3..oo3..oo&#x | 0 0 1 1 | * * * * * 4 * ♦ 0 0 0 0 0 0 0 3 3 0 | 0 0 0 0 0 0 0 0 0 3 6 3 0 | 0 0 0 0 0 0 1 3 3 1
.... .... ...x | 0 0 0 2 | * * * * * * 6 ♦ 0 1 0 0 0 0 2 0 1 2 | 0 2 0 2 0 0 0 1 2 0 2 2 1 | 0 1 0 1 2 0 0 1 2 1
------------------+---------+----------------+-------------------------+-------------------------------+--------------------
ox.. .... ....&#x | 1 2 0 0 | 2 0 1 0 0 0 0 | 6 * * * * * * * * * | 2 0 2 0 0 0 0 0 0 0 0 0 0 | 1 0 2 1 0 0 0 0 0 0
.... .... o..x&#x | 1 0 0 2 | 0 2 0 0 0 0 1 | * 6 * * * * * * * * | 0 2 0 2 0 0 0 0 0 0 0 0 0 | 0 1 0 1 2 0 0 0 0 0
oo.o3oo.o3oo.o&#x | 1 1 0 1 | 1 1 0 0 1 0 0 | * * 12 * * * * * * * | 0 0 2 2 0 0 0 0 0 0 0 0 0 | 0 0 1 2 1 0 0 0 0 0
.x..3.o.. .... | 0 3 0 0 | 0 0 3 0 0 0 0 | * * * 4 * * * * * * | 1 0 0 0 1 1 1 0 0 0 0 0 0 | 1 0 1 0 0 1 1 0 0 0
.xo. .... ....&#x | 0 2 1 0 | 0 0 1 2 0 0 0 | * * * * 6 * * * * * | 0 0 0 0 0 2 0 0 0 2 0 0 0 | 0 0 0 0 0 1 2 1 0 0
.x.o .... ....&#x | 0 2 0 1 | 0 0 1 0 2 0 0 | * * * * * 12 * * * * | 0 0 1 0 0 0 1 1 0 1 0 0 0 | 0 0 1 1 0 0 1 1 0 0
.... .... .o.x&#x | 0 1 0 2 | 0 0 0 0 2 0 1 | * * * * * * 12 * * * | 0 0 0 1 0 0 0 1 1 0 1 0 0 | 0 0 0 1 1 0 0 1 1 0
.ooo3.ooo3.ooo&#x | 0 1 1 1 | 0 0 0 1 1 1 0 | * * * * * * * 12 * * | 0 0 0 0 0 0 0 0 0 2 2 0 0 | 0 0 0 0 0 0 1 2 1 0
.... .... ..ox&#x | 0 0 1 2 | 0 0 0 0 0 2 1 | * * * * * * * * 6 * | 0 0 0 0 0 0 0 0 0 0 2 2 0 | 0 0 0 0 0 0 0 1 2 1
.... ...o3...x | 0 0 0 3 | 0 0 0 0 0 0 3 | * * * * * * * * * 4 | 0 1 0 0 0 0 0 0 1 0 0 1 1 | 0 1 0 0 1 0 0 0 1 1
------------------+---------+----------------+-------------------------+-------------------------------+--------------------
ox..3oo.. ....&#x ♦ 1 3 0 0 | 3 0 3 0 0 0 0 | 3 0 0 1 0 0 0 0 0 0 | 4 * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 0 0
.... o..o3o..x&#x ♦ 1 0 0 3 | 0 3 0 0 0 0 3 | 0 3 0 0 0 0 0 0 0 1 | * 4 * * * * * * * * * * * | 0 1 0 0 1 0 0 0 0 0
ox.o .... ....&#x ♦ 1 2 0 1 | 2 1 1 0 2 0 0 | 1 0 2 0 0 1 0 0 0 0 | * * 12 * * * * * * * * * * | 0 0 1 1 0 0 0 0 0 0
.... .... oo.x&#x ♦ 1 1 0 2 | 1 2 0 0 2 0 1 | 0 1 2 0 0 0 1 0 0 0 | * * * 12 * * * * * * * * * | 0 0 0 1 1 0 0 0 0 0
.x..3.o..3.o.. ♦ 0 4 0 0 | 0 0 6 0 0 0 0 | 0 0 0 4 0 0 0 0 0 0 | * * * * 1 * * * * * * * * | 1 0 0 0 0 1 0 0 0 0
.xo.3.oo. ....&#x ♦ 0 3 1 0 | 0 0 3 3 0 0 0 | 0 0 0 1 3 0 0 0 0 0 | * * * * * 4 * * * * * * * | 0 0 0 0 0 1 1 0 0 0
.x.o3.o.o ....&#x ♦ 0 3 0 1 | 0 0 3 0 3 0 0 | 0 0 0 1 0 3 0 0 0 0 | * * * * * * 4 * * * * * * | 0 0 1 0 0 0 1 0 0 0
.x.o .... .o.x&#x ♦ 0 2 0 2 | 0 0 1 0 4 0 1 | 0 0 0 0 0 2 2 0 0 0 | * * * * * * * 6 * * * * * | 0 0 0 1 0 0 0 1 0 0
.... .o.o3.o.x&#x ♦ 0 1 0 3 | 0 0 0 0 3 0 3 | 0 0 0 0 0 0 3 0 0 1 | * * * * * * * * 4 * * * * | 0 0 0 0 1 0 0 0 1 0
.xoo .... ....&#x ♦ 0 2 1 1 | 0 0 1 2 2 1 0 | 0 0 0 0 1 1 0 2 0 0 | * * * * * * * * * 12 * * * | 0 0 0 0 0 0 1 1 0 0
.... .... .oox&#x ♦ 0 1 1 2 | 0 0 0 1 2 2 1 | 0 0 0 0 0 0 1 2 1 0 | * * * * * * * * * * 12 * * | 0 0 0 0 0 0 0 1 1 0
.... ..oo3..ox&#x ♦ 0 0 1 3 | 0 0 0 0 0 3 3 | 0 0 0 0 0 0 0 0 3 1 | * * * * * * * * * * * 4 * | 0 0 0 0 0 0 0 0 1 1
...o3...o3...x ♦ 0 0 0 4 | 0 0 0 0 0 0 6 | 0 0 0 0 0 0 0 0 0 4 | * * * * * * * * * * * * 1 | 0 1 0 0 0 0 0 0 0 1
------------------+---------+----------------+-------------------------+-------------------------------+--------------------
ox..3oo..3oo..&#x ♦ 1 4 0 0 | 4 0 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 0 0 0 | 1 * * * * * * * * *
o..o3o..o3o..x&#x ♦ 1 0 0 4 | 0 4 0 0 0 0 6 | 0 6 0 0 0 0 0 0 0 4 | 0 4 0 0 0 0 0 0 0 0 0 0 1 | * 1 * * * * * * * *
ox.o3oo.o ....&#x ♦ 1 3 0 1 | 3 1 3 0 3 0 0 | 3 0 3 1 0 3 0 0 0 0 | 1 0 3 0 0 0 1 0 0 0 0 0 0 | * * 4 * * * * * * *
ox.o .... oo.x&#x ♦ 1 2 0 2 | 2 2 1 0 4 0 1 | 1 1 4 0 0 2 2 0 0 0 | 0 0 2 2 0 0 0 1 0 0 0 0 0 | * * * 6 * * * * * *
.... oo.o3oo.x&#x ♦ 1 1 0 3 | 1 3 0 0 3 0 3 | 0 3 3 0 0 0 3 0 0 1 | 0 1 0 3 0 0 0 0 1 0 0 0 0 | * * * * 4 * * * * *
.xo.3.oo.3.oo.&#x ♦ 0 4 1 0 | 0 0 6 4 0 0 0 | 0 0 0 4 6 0 0 0 0 0 | 0 0 0 0 1 4 0 0 0 0 0 0 0 | * * * * * 1 * * * *
.xoo3.ooo ....&#x ♦ 0 3 1 1 | 0 0 3 3 3 1 0 | 0 0 0 1 3 3 0 3 0 0 | 0 0 0 0 0 1 1 0 0 3 0 0 0 | * * * * * * 4 * * *
.xoo .... .oox&#x ♦ 0 2 1 2 | 0 0 1 2 4 2 1 | 0 0 0 0 1 2 2 4 1 0 | 0 0 0 0 0 0 0 1 0 2 2 0 0 | * * * * * * * 6 * *
.... .ooo3.oox&#x ♦ 0 1 1 3 | 0 0 0 1 3 3 3 | 0 0 0 0 0 0 3 3 3 1 | 0 0 0 0 0 0 0 0 1 0 3 1 0 | * * * * * * * * 4 *
..oo3..oo3..ox&#x ♦ 0 0 1 4 | 0 0 0 0 0 4 6 | 0 0 0 0 0 0 0 0 6 4 | 0 0 0 0 0 0 0 0 0 0 0 4 1 | * * * * * * * * * 1
or
o...3o...3o... & | 2 * ♦ 8 0 0 | 12 12 0 0 | 8 0 24 0 0 | 2 8 6
.o..3.o..3.o.. & | * 8 ♦ 2 3 3 | 6 6 3 9 | 6 1 18 4 3 | 2 8 6
--------------------+-----+----------+------------+-------------+--------
oo..3oo..3oo..&#x & | 1 1 | 16 * * ♦ 3 3 0 0 | 3 0 9 0 0 | 1 4 3
.x.. .... .... & | 0 2 | * 12 * ♦ 2 0 2 2 | 4 1 4 2 1 | 2 4 2
.o.o3.o.o3.o.o&#x | 0 2 | * * 12 ♦ 0 2 0 4 | 0 0 8 2 2 | 0 4 4
--------------------+-----+----------+------------+-------------+--------
ox.. .... ....&#x & | 1 2 | 2 1 0 | 24 * * * | 2 0 2 0 0 | 1 2 1
oo.o3oo.o3oo.o&#x & | 1 2 | 2 0 1 | * 24 * * | 0 0 4 0 0 | 0 2 2
.x..3.o.. .... & | 0 3 | 0 3 0 | * * 8 * | 2 1 0 1 0 | 2 2 0
.x.o .... ....&#x & | 0 3 | 0 1 2 | * * * 24 | 0 0 2 1 1 | 0 2 2
--------------------+-----+----------+------------+-------------+--------
ox..3oo.. ....&#x & ♦ 1 3 | 3 3 0 | 3 0 1 0 | 16 * * * * | 1 1 0
.x..3.o..3.o.. & ♦ 0 4 | 0 6 0 | 0 0 4 0 | * 2 * * * | 2 0 0
ox.o .... ....&#x & ♦ 1 3 | 3 1 2 | 1 2 0 1 | * * 48 * * | 0 1 1
.x.o3.o.o ....&#x & ♦ 0 4 | 0 3 3 | 0 0 1 3 | * * * 8 * | 0 2 0
.x.o .... .o.x&#x ♦ 0 4 | 0 2 4 | 0 0 0 4 | * * * * 6 | 0 0 2
--------------------+-----+----------+------------+-------------+--------
ox..3oo..3oo..&#x & ♦ 1 4 | 4 6 0 | 6 0 4 0 | 4 1 0 0 0 | 4 * *
ox.o3oo.o ....&#x & ♦ 1 4 | 4 3 3 | 3 3 1 3 | 1 0 3 1 0 | * 16 *
ox.o .... oo.x&#x & ♦ 1 4 | 4 2 4 | 2 4 0 4 | 0 0 4 0 1 | * * 12
o(xo)o3o(oo)o3o(ox)o&#xt → both heights = 1/sqrt(2) = 0.707107
(pt || (tet || dual tet) || pt)
o(..).3o(..).3o(..). & | 2 * ♦ 4 4 0 0 | 6 6 12 0 0 | 4 4 12 12 0 0 0 | 1 1 4 6 4
.(o.).3.(o.).3.(o.). & | * 8 ♦ 1 1 3 3 | 3 3 6 3 9 | 3 3 9 9 1 4 3 | 1 1 4 6 4
---------------------------+-----+-----------+---------------+-----------------+-----------
o(o.).3o(o.).3o(o.).&#x & | 1 1 | 8 * * * ♦ 3 0 3 0 0 | 3 0 6 3 0 0 0 | 1 0 3 3 1
o(.o).3o(.o).3o(.o).&#x & | 1 1 | * 8 * * ♦ 0 3 3 0 0 | 0 3 3 6 0 0 0 | 0 1 1 3 3
.(x.). .(..). .(..). & | 0 2 | * * 12 * ♦ 1 1 0 2 2 | 2 2 2 2 1 2 1 | 1 1 2 2 2
.(oo).3.(oo).3.(oo).&#x | 0 2 | * * * 12 ♦ 0 0 2 0 4 | 0 0 4 4 0 2 2 | 0 0 2 4 2
---------------------------+-----+-----------+---------------+-----------------+-----------
o(x.). .(..). .(..).&#x & | 1 2 | 2 0 1 0 | 12 * * * * | 2 0 2 0 0 0 0 | 1 0 2 1 0
.(..). .(..). o(.x).&#x & | 1 2 | 0 2 1 0 | * 12 * * * | 0 2 0 2 0 0 0 | 0 1 0 1 2
o(oo).3o(oo).3o(oo).&#x & | 1 2 | 1 1 0 1 | * * 24 * * | 0 0 2 2 0 0 0 | 0 0 1 2 1
.(x.).3.(o.). .(..). & | 0 3 | 0 0 3 0 | * * * 8 * | 1 1 0 0 1 1 0 | 1 1 1 0 1
.(xo). .(..). .(..).&#x & | 0 3 | 0 0 1 2 | * * * * 24 | 0 0 1 1 0 1 1 | 0 0 1 2 1
---------------------------+-----+-----------+---------------+-----------------+-----------
o(x.).3o(o.). .(..).&#x & ♦ 1 3 | 3 0 3 0 | 3 0 0 1 0 | 8 * * * * * * | 1 0 1 0 0
.(..). o(.o).3o(.x).&#x & ♦ 1 3 | 0 3 3 0 | 0 3 0 1 0 | * 8 * * * * * | 0 1 0 0 1
o(xo). .(..). .(..).&#x & ♦ 1 3 | 2 1 1 2 | 1 0 2 0 1 | * * 24 * * * * | 0 0 1 1 0
.(..). .(..). o(ox).&#x & ♦ 1 3 | 1 2 1 2 | 0 1 2 0 1 | * * * 24 * * * | 0 0 0 1 1
.(x.).3.(o.).3.(o.). & ♦ 0 4 | 0 0 6 0 | 0 0 0 4 0 | * * * * 2 * * | 1 1 0 0 0
.(xo).3.(oo). .(..).&#x & ♦ 0 4 | 0 0 3 3 | 0 0 0 1 3 | * * * * * 8 * | 0 0 1 0 1
.(xo). .(..). .(ox).&#x ♦ 0 4 | 0 0 2 4 | 0 0 0 0 4 | * * * * * * 6 | 0 0 0 2 0
---------------------------+-----+-----------+---------------+-----------------+-----------
o(x.).3o(o.).3o(o.).&#x & ♦ 1 4 | 4 0 6 0 | 6 0 0 4 0 | 4 0 0 0 1 0 0 | 2 * * * *
o(.o).3o(.o).3o(.x).&#x & ♦ 1 4 | 0 4 6 0 | 0 6 0 4 0 | 0 4 0 0 1 0 0 | * 2 * * *
o(xo).3o(oo). .(..).&#x & ♦ 1 4 | 3 1 3 3 | 3 0 3 1 3 | 1 0 3 0 0 1 0 | * * 8 * *
o(xo). .(..). o(ox).&#x & ♦ 1 4 | 2 2 2 4 | 1 1 4 0 4 | 0 0 2 2 0 0 1 | * * * 12 *
.(..). o(oo).3o(ox).&#x & ♦ 1 4 | 1 3 3 3 | 0 3 3 1 3 | 0 1 0 3 0 1 0 | * * * * 8
xoxo oxoo3ooox&#xr → all cyclical heights = sqrt(5/12) = 0.645497
in fact a rhomb with diagonals
height(1,3) = 1
height(2,4) = sqrt(2/3) = 0.816497
o... o...3o... | 2 * * * ♦ 1 3 1 3 0 0 0 0 0 0 | 3 3 3 3 3 6 3 0 0 0 0 0 0 0 0 0 | 3 1 3 1 3 6 3 3 3 6 0 0 0 0 0 0 0 | 1 1 1 3 3 1 3 3 0 0 0 0
.o.. .o..3.o.. | * 3 * * ♦ 0 2 0 0 2 2 2 0 0 0 | 1 4 0 0 2 4 0 1 1 4 2 1 4 0 0 0 | 2 2 0 0 4 2 4 2 0 4 2 2 2 4 2 0 0 | 1 0 2 2 1 0 4 2 1 2 1 0
..o. ..o.3..o. | * * 2 * ♦ 0 0 1 0 0 3 0 1 3 0 | 0 0 0 0 3 0 3 0 3 3 0 0 6 3 3 0 | 0 0 0 0 3 0 0 0 3 6 3 1 6 3 3 3 1 | 0 0 1 0 0 1 3 3 1 3 3 1
...o ...o3...o | * * * 3 ♦ 0 0 0 2 0 0 2 0 2 2 | 0 0 1 4 0 4 2 0 0 0 1 2 4 1 4 1 | 0 0 2 2 0 2 2 4 4 4 0 0 2 2 4 2 2 | 0 1 0 1 2 2 2 4 0 1 2 1
------------------+---------+---------------------+-----------------------------------+------------------------------------+------------------------
x... .... .... | 2 0 0 0 | 1 * * * * * * * * * ♦ 3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3 0 3 0 0 6 0 0 0 0 0 0 0 0 0 0 0 | 1 1 0 3 3 0 0 0 0 0 0 0
oo.. oo..3oo..&#x | 1 1 0 0 | * 6 * * * * * * * * ♦ 1 2 0 0 1 2 0 0 0 0 0 0 0 0 0 0 | 2 1 0 0 2 2 2 1 0 2 0 0 0 0 0 0 0 | 1 0 1 2 1 0 2 1 0 0 0 0
o.o. o.o.3o.o.&#x | 1 0 1 0 | * * 2 * * * * * * * ♦ 0 0 0 0 3 0 3 0 0 0 0 0 0 0 0 0 | 0 0 0 0 3 0 0 0 3 6 0 0 0 0 0 0 0 | 0 0 1 0 0 1 3 3 0 0 0 0
o..o o..o3o..o&#x | 1 0 0 1 | * * * 6 * * * * * * ♦ 0 0 1 2 0 2 1 0 0 0 0 0 0 0 0 0 | 0 0 2 1 0 2 1 2 2 2 0 0 0 0 0 0 0 | 0 1 0 1 2 1 1 2 0 0 0 0
.... .x.. .... | 0 2 0 0 | * * * * 3 * * * * * ♦ 0 2 0 0 0 0 0 1 0 2 1 0 0 0 0 0 | 1 2 0 0 2 0 2 0 0 0 1 2 0 2 0 0 0 | 1 0 2 1 0 0 2 0 1 1 0 0
.oo. .oo.3.oo.&#x | 0 1 1 0 | * * * * * 6 * * * * ♦ 0 0 0 0 1 0 0 0 1 2 0 0 2 0 0 0 | 0 0 0 0 2 0 0 0 0 2 2 1 2 2 1 0 0 | 0 0 1 0 0 0 2 1 1 2 1 0
.o.o .o.o3.o.o&#x | 0 1 0 1 | * * * * * * 6 * * * ♦ 0 0 0 0 0 2 0 0 0 0 1 1 2 0 0 0 | 0 0 0 0 0 1 2 2 0 2 0 0 1 2 2 0 0 | 0 0 0 1 1 0 2 2 0 1 1 0
..x. .... .... | 0 0 2 0 | * * * * * * * 1 * * ♦ 0 0 0 0 0 0 0 0 3 0 0 0 0 3 0 0 | 0 0 0 0 0 0 0 0 0 0 3 0 6 0 0 3 0 | 0 0 0 0 0 0 0 0 1 3 3 1
..oo ..oo3..oo&#x | 0 0 1 1 | * * * * * * * * 6 * ♦ 0 0 0 0 0 0 1 0 0 0 0 0 2 1 2 0 | 0 0 0 0 0 0 0 0 2 2 0 0 2 1 2 2 1 | 0 0 0 0 0 1 1 2 0 1 2 1
.... .... ...x | 0 0 0 2 | * * * * * * * * * 3 ♦ 0 0 0 2 0 0 0 0 0 0 0 1 0 0 2 1 | 0 0 1 2 0 0 0 2 2 0 0 0 0 0 2 1 2 | 0 1 0 0 1 2 0 2 0 0 1 1
------------------+---------+---------------------+-----------------------------------+------------------------------------+------------------------
xo.. .... ....&#x | 2 1 0 0 | 1 2 0 0 0 0 0 0 0 0 | 3 * * * * * * * * * * * * * * * | 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 | 1 0 0 2 1 0 0 0 0 0 0 0
.... ox.. ....&#x | 1 2 0 0 | 0 2 0 0 1 0 0 0 0 0 | * 6 * * * * * * * * * * * * * * | 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 | 1 0 1 1 0 0 1 0 0 0 0 0
x..o .... ....&#x | 2 0 0 1 | 1 0 0 2 0 0 0 0 0 0 | * * 3 * * * * * * * * * * * * * | 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 | 0 1 0 1 2 0 0 0 0 0 0 0
.... .... o..x&#x | 1 0 0 2 | 0 0 0 2 0 0 0 0 0 1 | * * * 6 * * * * * * * * * * * * | 0 0 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 | 0 1 0 0 1 1 0 1 0 0 0 0
ooo. ooo.3ooo.&#x | 1 1 1 0 | 0 1 1 0 0 1 0 0 0 0 | * * * * 6 * * * * * * * * * * * | 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 | 0 0 1 0 0 0 2 1 0 0 0 0
oo.o oo.o3oo.o&#x | 1 1 0 1 | 0 1 0 1 0 0 1 0 0 0 | * * * * * 12 * * * * * * * * * * | 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 | 0 0 0 1 1 0 1 1 0 0 0 0
o.oo o.oo3o.oo&#x | 1 0 1 1 | 0 0 1 1 0 0 0 0 1 0 | * * * * * * 6 * * * * * * * * * | 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 | 0 0 0 0 0 1 1 2 0 0 0 0
.... .x..3.o.. | 0 3 0 0 | 0 0 0 0 3 0 0 0 0 0 | * * * * * * * 1 * * * * * * * * | 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 | 1 0 2 0 0 0 0 0 1 0 0 0
.ox. .... ....&#x | 0 1 2 0 | 0 0 0 0 0 2 0 1 0 0 | * * * * * * * * 3 * * * * * * * | 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 | 0 0 0 0 0 0 0 0 1 2 1 0
.... .xo. ....&#x | 0 2 1 0 | 0 0 0 0 1 2 0 0 0 0 | * * * * * * * * * 6 * * * * * * | 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 0 | 0 0 1 0 0 0 1 0 1 1 0 0
.... .x.o ....&#x | 0 2 0 1 | 0 0 0 0 1 0 2 0 0 0 | * * * * * * * * * * 3 * * * * * | 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 | 0 0 0 1 0 0 2 0 0 1 0 0
.... .... .o.x&#x | 0 1 0 2 | 0 0 0 0 0 0 2 0 0 1 | * * * * * * * * * * * 3 * * * * | 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 | 0 0 0 0 1 0 0 2 0 0 1 0
.ooo .ooo3.ooo&#x | 0 1 1 1 | 0 0 0 0 0 1 1 0 1 0 | * * * * * * * * * * * * 12 * * * | 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 | 0 0 0 0 0 0 1 1 0 1 1 0
..xo .... ....&#x | 0 0 2 1 | 0 0 0 0 0 0 0 1 2 0 | * * * * * * * * * * * * * 3 * * | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 | 0 0 0 0 0 0 0 0 0 1 2 1
.... .... ..ox&#x | 0 0 1 2 | 0 0 0 0 0 0 0 0 2 1 | * * * * * * * * * * * * * * 6 * | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 | 0 0 0 0 0 1 0 1 0 0 1 1
.... ...o3...x | 0 0 0 3 | 0 0 0 0 0 0 0 0 0 3 | * * * * * * * * * * * * * * * 1 | 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 | 0 1 0 0 0 2 0 0 0 0 0 1
------------------+---------+---------------------+-----------------------------------+------------------------------------+------------------------
xo.. ox.. ....&#x ♦ 2 2 0 0 | 1 4 0 0 1 0 0 0 0 0 | 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 3 * * * * * * * * * * * * * * * * | 1 0 0 1 0 0 0 0 0 0 0 0
.... ox..3oo..&#x ♦ 1 3 0 0 | 0 3 0 0 3 0 0 0 0 0 | 0 3 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | * 2 * * * * * * * * * * * * * * * | 1 0 1 0 0 0 0 0 0 0 0 0
x..o .... o..x&#x ♦ 2 0 0 2 | 1 0 0 4 0 0 0 0 0 1 | 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 | * * 3 * * * * * * * * * * * * * * | 0 1 0 0 1 0 0 0 0 0 0 0
.... o..o3o..x&#x ♦ 1 0 0 3 | 0 0 0 3 0 0 0 0 0 3 | 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 1 | * * * 2 * * * * * * * * * * * * * | 0 1 0 0 0 1 0 0 0 0 0 0
.... oxo. ....&#x ♦ 1 2 1 0 | 0 2 1 0 1 2 0 0 0 0 | 0 1 0 0 2 0 0 0 0 1 0 0 0 0 0 0 | * * * * 6 * * * * * * * * * * * * | 0 0 1 0 0 0 1 0 0 0 0 0
xo.o .... ....&#x ♦ 2 1 0 1 | 1 2 0 2 0 0 1 0 0 0 | 1 0 1 0 0 2 0 0 0 0 0 0 0 0 0 0 | * * * * * 6 * * * * * * * * * * * | 0 0 0 1 1 0 0 0 0 0 0 0
.... ox.o ....&#x ♦ 1 2 0 1 | 0 2 0 1 1 0 2 0 0 0 | 0 1 0 0 0 2 0 0 0 0 1 0 0 0 0 0 | * * * * * * 6 * * * * * * * * * * | 0 0 0 1 0 0 1 0 0 0 0 0
.... .... oo.x&#x ♦ 1 1 0 2 | 0 1 0 2 0 0 2 0 0 1 | 0 0 0 1 0 2 0 0 0 0 0 1 0 0 0 0 | * * * * * * * 6 * * * * * * * * * | 0 0 0 0 1 0 0 1 0 0 0 0
.... .... o.ox&#x ♦ 1 0 1 2 | 0 0 1 2 0 0 0 0 2 1 | 0 0 0 1 0 0 2 0 0 0 0 0 0 0 1 0 | * * * * * * * * 6 * * * * * * * * | 0 0 0 0 0 1 0 1 0 0 0 0
oooo oooo3oooo&#x ♦ 1 1 1 1 | 0 1 1 1 0 1 1 0 1 0 | 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 | * * * * * * * * * 12 * * * * * * * | 0 0 0 0 0 0 1 1 0 0 0 0
.ox. .xo. ....&#x ♦ 0 2 2 0 | 0 0 0 0 1 4 0 1 0 0 | 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 | * * * * * * * * * * 3 * * * * * * | 0 0 0 0 0 0 0 0 1 1 0 0
.... .xo.3.oo.&#x ♦ 0 3 1 0 | 0 0 0 0 3 3 0 0 0 0 | 0 0 0 0 0 0 0 1 0 3 0 0 0 0 0 0 | * * * * * * * * * * * 2 * * * * * | 0 0 1 0 0 0 0 0 1 0 0 0
.oxo .... ....&#x ♦ 0 1 2 1 | 0 0 0 0 0 2 1 1 2 0 | 0 0 0 0 0 0 0 0 1 0 0 0 2 1 0 0 | * * * * * * * * * * * * 6 * * * * | 0 0 0 0 0 0 0 0 0 1 1 0
.... .xoo ....&#x ♦ 0 2 1 1 | 0 0 0 0 1 2 2 0 1 0 | 0 0 0 0 0 0 0 0 0 1 1 0 2 0 0 0 | * * * * * * * * * * * * * 6 * * * | 0 0 0 0 0 0 1 0 0 1 0 0
.... .... .oox&#x ♦ 0 1 1 2 | 0 0 0 0 0 1 2 0 2 1 | 0 0 0 0 0 0 0 0 0 0 0 1 2 0 1 0 | * * * * * * * * * * * * * * 6 * * | 0 0 0 0 0 0 0 1 0 0 1 0
..xo .... ..ox&#x ♦ 0 0 2 2 | 0 0 0 0 0 0 0 1 4 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 | * * * * * * * * * * * * * * * 3 * | 0 0 0 0 0 0 0 0 0 0 1 1
.... ..oo3..ox&#x ♦ 0 0 1 3 | 0 0 0 0 0 0 0 0 3 3 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 1 | * * * * * * * * * * * * * * * * 2 | 0 0 0 0 0 1 0 0 0 0 0 1
------------------+---------+---------------------+-----------------------------------+------------------------------------+------------------------
xo.. ox..3oo..&#x ♦ 2 3 0 0 | 1 6 0 0 3 0 0 0 0 0 | 3 6 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * * * * * * * *
x..o o..o3o..x&#x ♦ 2 0 0 3 | 1 0 0 6 0 0 0 0 0 3 | 0 0 3 6 0 0 0 0 0 0 0 0 0 0 0 1 | 0 0 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 1 * * * * * * * * * *
.... oxo.3ooo.&#x ♦ 1 3 1 0 | 0 3 1 0 3 3 0 0 0 0 | 0 3 0 0 3 0 0 1 0 3 0 0 0 0 0 0 | 0 1 0 0 3 0 0 0 0 0 0 1 0 0 0 0 0 | * * 2 * * * * * * * * *
xo.o ox.o ....&#x ♦ 2 2 0 1 | 1 4 0 2 1 0 2 0 0 0 | 2 2 1 0 0 4 0 0 0 0 1 0 0 0 0 0 | 1 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 | * * * 3 * * * * * * * *
xo.o .... oo.x&#x ♦ 2 1 0 2 | 1 2 0 4 0 0 2 0 0 1 | 1 0 2 2 0 4 0 0 0 0 0 1 0 0 0 0 | 0 0 1 0 0 2 0 2 0 0 0 0 0 0 0 0 0 | * * * * 3 * * * * * * *
.... o.oo3o.ox&#x ♦ 1 0 1 3 | 0 0 1 3 0 0 0 0 3 3 | 0 0 0 3 0 0 3 0 0 0 0 0 0 0 3 1 | 0 0 0 1 0 0 0 0 3 0 0 0 0 0 0 0 1 | * * * * * 2 * * * * * *
.... oxoo ....&#x ♦ 1 2 1 1 | 0 2 1 1 1 2 2 0 1 0 | 0 1 0 0 2 2 1 0 0 1 1 0 2 0 0 0 | 0 0 0 0 1 0 1 0 0 2 0 0 0 1 0 0 0 | * * * * * * 6 * * * * *
.... .... ooox&#x ♦ 1 1 1 2 | 0 1 1 2 0 1 2 0 2 1 | 0 0 0 1 1 2 2 0 0 0 0 1 2 0 1 0 | 0 0 0 0 0 0 0 1 1 2 0 0 0 0 1 0 0 | * * * * * * * 6 * * * *
.ox. .xo.3.oo.&#x ♦ 0 3 2 0 | 0 0 0 0 3 6 0 1 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 0 0 0 0 0 | * * * * * * * * 1 * * *
.oxo .xoo ....&#x ♦ 0 2 2 1 | 0 0 0 0 1 4 2 1 2 0 | 0 0 0 0 0 0 0 0 2 2 1 0 4 1 0 0 | 0 0 0 0 0 0 0 0 0 0 1 0 2 2 0 0 0 | * * * * * * * * * 3 * *
.oxo .... .oox&#x ♦ 0 1 2 2 | 0 0 0 0 0 2 2 1 4 1 | 0 0 0 0 0 0 0 0 1 0 0 1 4 2 2 0 | 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 1 0 | * * * * * * * * * * 3 *
..xo ..oo3..ox&#x ♦ 0 0 2 3 | 0 0 0 0 0 0 0 1 6 3 | 0 0 0 0 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 3 2 | * * * * * * * * * * * 1
xo4oo ox3oo4oo&#zx → height = 0
(tegum sum of {4} and perp oct)
(tegum product of {4} with oct)
o.4o. o.3o.4o. | 4 * ♦ 2 6 0 | 12 12 0 | 24 8 | 16
.o4.o .o3.o4.o | * 6 ♦ 0 4 4 | 4 16 4 | 16 16 | 16
------------------+-----+---------+---------+-------+---
x. .. .. .. .. | 2 0 | 4 * * ♦ 6 0 0 | 12 0 | 8
oo4oo oo3oo4oo&#x | 1 1 | * 24 * ♦ 2 4 0 | 8 4 | 8
.. .. .x .. .. | 0 2 | * * 12 ♦ 0 4 2 | 4 8 | 8
------------------+-----+---------+---------+-------+---
xo .. .. .. ..&#x | 2 1 | 1 2 0 | 24 * * | 4 0 | 4
.. .. ox .. ..&#x | 1 2 | 0 2 1 | * 48 * | 2 2 | 4
.. .. .x3.o .. | 0 3 | 0 0 3 | * * 8 | 0 4 | 4
------------------+-----+---------+---------+-------+---
xo .. ox .. ..&#x ♦ 2 2 | 1 4 1 | 2 2 0 | 48 * | 2
.. .. ox3oo ..&#x ♦ 1 3 | 0 3 3 | 0 3 1 | * 32 | 2
------------------+-----+---------+---------+-------+---
xo .. ox3oo ..&#x ♦ 2 3 | 1 6 3 | 3 6 1 | 3 2 | 32
xo xo oo3ox3oo&#zx → height = 0
(tegum sum of {4} and perp oct)
(tegum product of {4} with oct)
o. o. o.3o.3o. | 4 * ♦ 1 1 6 0 | 6 6 12 0 0 | 12 12 4 4 | 4 4 4 4
.o .o .o3.o3.o | * 6 ♦ 0 0 4 4 | 2 2 16 2 2 | 8 8 8 8 | 4 4 4 4
------------------+-----+-----------+--------------+-------------+--------
x. .. .. .. .. | 2 0 | 2 * * * ♦ 6 0 0 0 0 | 12 0 0 0 | 4 4 0 0
.. x. .. .. .. | 2 0 | * 2 * * ♦ 0 6 0 0 0 | 0 12 0 0 | 0 0 4 4
oo oo oo3oo3oo&#x | 1 1 | * * 24 * ♦ 1 1 4 0 0 | 4 4 2 2 | 2 2 2 2
.. .. .. .x .. | 0 2 | * * * 12 ♦ 0 0 4 1 1 | 2 2 4 4 | 2 2 2 2
------------------+-----+-----------+--------------+-------------+--------
xo .. .. .. ..&#x | 2 1 | 1 0 2 0 | 12 * * * * | 4 0 0 0 | 2 2 0 0
.. xo .. .. ..&#x | 2 1 | 0 1 2 0 | * 12 * * * | 0 4 0 0 | 0 0 2 2
.. .. .. ox ..&#x | 1 2 | 0 0 2 1 | * * 48 * * | 1 1 1 1 | 1 1 1 1
.. .. .o3.x .. | 0 3 | 0 0 0 3 | * * * 4 * | 0 0 4 0 | 2 0 2 0
.. .. .. .x3.o | 0 3 | 0 0 0 3 | * * * * 4 | 0 0 0 4 | 0 2 0 2
------------------+-----+-----------+--------------+-------------+--------
xo .. .. ox ..&#x ♦ 2 2 | 1 0 4 1 | 2 0 2 0 0 | 24 * * * | 1 1 0 0
.. xo .. ox ..&#x ♦ 2 2 | 0 1 4 1 | 0 2 2 0 0 | * 24 * * | 0 0 1 1
.. .. oo3ox ..&#x ♦ 1 3 | 0 0 3 3 | 0 0 3 1 0 | * * 16 * | 1 0 1 0
.. .. .. ox3oo&#x ♦ 1 3 | 0 0 3 3 | 0 0 3 0 1 | * * * 16 | 0 1 0 1
------------------+-----+-----------+--------------+-------------+--------
xo .. oo3ox ..&#x ♦ 2 3 | 1 0 6 3 | 3 0 6 1 0 | 3 0 2 0 | 8 * * *
xo .. .. ox3oo&#x ♦ 2 3 | 1 0 6 3 | 3 0 6 0 1 | 3 0 0 2 | * 8 * *
.. xo oo3ox ..&#x ♦ 2 3 | 0 1 6 3 | 0 3 6 1 0 | 0 3 2 0 | * * 8 *
.. xo .. ox3oo&#x ♦ 2 3 | 0 1 6 3 | 0 3 6 0 1 | 0 3 0 2 | * * * 8
o(xo)o4o(oo)o o(ox)o4o(oo)o&#xt → both heights = 1/sqrt(2) = 0.707107
(pt || (tegum product of two {4}) || pt)
o(..).4o(..). o(..).4o(..). | 1 * * * ♦ 4 4 0 0 0 0 0 | 4 16 4 0 0 0 0 0 | 16 16 0 0 0 | 16 0
.(o.).4.(o.). .(o.).4.(o.). | * 4 * * ♦ 1 0 2 4 1 0 0 | 2 4 0 8 4 2 4 0 | 8 4 8 8 4 | 8 8
.(.o).4.(.o). .(.o).4.(.o). | * * 4 * ♦ 0 1 0 4 0 2 1 | 0 4 2 4 8 0 4 2 | 4 8 8 4 8 | 8 8
.(..)o4.(..)o .(..)o4.(..)o | * * * 1 ♦ 0 0 0 0 4 0 4 | 0 0 0 0 0 4 16 4 | 0 0 0 16 16 | 0 16
-------------------------------+---------+----------------+---------------------+----------------+------
o(o.).4o(o.). o(o.).4o(o.).&#x | 1 1 0 0 | 4 * * * * * * ♦ 2 4 0 0 0 0 0 0 | 8 4 0 0 0 | 8 0
o(.o).4o(.o). o(.o).4o(.o).&#x | 1 0 1 0 | * 4 * * * * * ♦ 0 4 2 0 0 0 0 0 | 4 8 0 0 0 | 4 0
.(x.). .(..). .(..). .(..). | 0 2 0 0 | * * 4 * * * * ♦ 1 0 0 4 0 1 0 0 | 4 0 4 4 0 | 4 4
.(oo).4.(oo). .(oo).4.(oo).&#x | 0 1 1 0 | * * * 16 * * * ♦ 0 1 0 2 2 0 1 0 | 2 2 4 2 2 | 4 4
.(o.)o4.(o.)o .(o.)o4.(o.)o&#x | 0 1 0 1 | * * * * 4 * * ♦ 0 0 0 0 0 2 4 0 | 0 0 0 8 4 | 0 8
.(..). .(..). .(.x). .(..). | 0 0 2 0 | * * * * * 4 * ♦ 0 0 1 0 4 0 0 1 | 0 4 4 0 4 | 4 4
.(.o)o4.(.o)o .(.o)o4.(.o)o&#x | 0 0 1 1 | * * * * * * 4 ♦ 0 0 0 0 0 0 4 2 | 0 0 0 4 8 | 0 8
-------------------------------+---------+----------------+---------------------+----------------+------
o(x.). .(..). .(..). .(..).&#x | 1 2 0 0 | 2 0 1 0 0 0 0 | 4 * * * * * * * | 4 0 0 0 0 | 4 0
o(oo).4o(oo). o(oo).4o(oo).&#x | 1 1 1 0 | 1 1 0 1 0 0 0 | * 16 * * * * * * | 2 2 0 0 0 | 4 0
.(..). .(..). o(.x). .(..).&#x | 1 0 2 0 | 0 2 0 0 0 1 0 | * * 4 * * * * * | 0 4 0 0 0 | 4 0
.(xo). .(..). .(..). .(..).&#x | 0 2 1 0 | 0 0 1 2 0 0 0 | * * * 16 * * * * | 1 0 2 1 0 | 2 2
.(..). .(..). .(ox). .(..).&#x | 0 1 2 0 | 0 0 0 2 0 1 0 | * * * * 16 * * * | 0 1 2 0 1 | 2 2
.(x.)o .(..). .(..). .(..).&#x | 0 2 0 1 | 0 0 1 0 2 0 0 | * * * * * 4 * * | 0 0 0 4 0 | 0 4
.(oo)o4.(oo)o .(oo)o4.(oo)o&#x | 0 1 1 1 | 0 0 0 1 1 0 1 | * * * * * * 16 * | 0 0 0 2 2 | 0 4
.(..). .(..). .(.x)o .(..).&#x | 0 0 2 1 | 0 0 0 0 0 1 2 | * * * * * * * 4 | 0 0 0 0 4 | 0 4
-------------------------------+---------+----------------+---------------------+----------------+------
o(xo). .(..). .(..). .(..).&#x ♦ 1 2 1 0 | 2 1 1 2 0 0 0 | 1 2 0 1 0 0 0 0 | 16 * * * * | 2 0
.(..). .(..). o(ox). .(..).&#x ♦ 1 1 2 0 | 1 2 0 2 0 1 0 | 0 2 1 0 1 0 0 0 | * 16 * * * | 2 0
.(xo). .(..). .(ox). .(..).&#x ♦ 0 2 2 0 | 0 0 1 4 0 1 0 | 0 0 0 2 2 0 0 0 | * * 16 * * | 1 1
.(xo)o .(..). .(..). .(..).&#x ♦ 0 2 1 1 | 0 0 1 2 2 0 1 | 0 0 0 1 0 1 2 0 | * * * 16 * | 0 2
.(..). .(..). .(ox)o .(..).&#x ♦ 0 1 2 1 | 0 0 0 2 1 1 2 | 0 0 0 0 1 0 2 1 | * * * * 16 | 0 2
-------------------------------+---------+----------------+---------------------+----------------+------
o(xo). .(..). o(ox). .(..).&#x ♦ 1 2 2 0 | 2 2 1 4 0 1 0 | 1 4 1 2 2 0 0 0 | 2 2 1 0 0 | 16 *
.(xo)o .(..). .(ox)o .(..).&#x ♦ 0 2 2 1 | 0 0 1 4 2 1 2 | 0 0 0 2 2 1 4 1 | 0 0 1 2 2 | * 16
ooq xoo4ooo oxo4ooo&#zx → heights = 0
(tegum sum of 2 perp {4} and a perp q-line)
o.. o..4o.. o..4o.. & | 8 * ♦ 2 4 2 | 12 4 8 | 8 24 | 16
..o ..o4..o ..o4..o | * 2 ♦ 0 0 8 | 0 8 16 | 0 32 | 16
--------------------------+-----+---------+----------+-------+---
... x.. ... ... ... & | 2 0 | 8 * * ♦ 4 2 0 | 4 8 | 8
oo. oo.4oo. oo.4oo.&#x | 2 0 | * 16 * ♦ 4 0 2 | 4 8 | 8
o.o o.o4o.o o.o4o.o&#x & | 1 1 | * * 16 ♦ 0 2 4 | 0 12 | 8
--------------------------+-----+---------+----------+-------+---
... xo. ... ... ...&#x & | 3 0 | 1 2 0 | 32 * * | 2 2 | 4
... x.o ... ... ...&#x & | 2 1 | 1 0 2 | * 16 * | 0 4 | 4
ooo ooo4ooo ooo4ooo&#x | 2 1 | 0 1 2 | * * 32 | 0 4 | 4
--------------------------+-----+---------+----------+-------+---
... xo. ... ox. ...&#x ♦ 4 0 | 2 4 0 | 4 0 0 | 16 * | 2
... xoo ... ... ...&#x & ♦ 3 1 | 1 2 3 | 1 1 2 | * 64 | 2
--------------------------+-----+---------+----------+-------+---
... xoo ... oxo ...&#x ♦ 4 1 | 2 4 4 | 4 2 4 | 1 4 | 32
o(xo)o o(xo)o o(ox)o o(ox)o&#xt → both heights = 1/sqrt(2) = 0.707107
(pt || (tegum product of two {4}) || pt)
o(..). o(..). o(..). o(..). | 1 * * * ♦ 4 4 0 0 0 0 0 0 0 | 2 2 16 2 2 0 0 0 0 0 0 0 0 0 | 8 8 8 8 0 0 0 0 0 0 0 0 | 4 4 4 4 0 0 0 0
.(o.). .(o.). .(o.). .(o.). | * 4 * * ♦ 1 0 1 1 4 1 0 0 0 | 1 1 4 0 0 4 4 2 2 1 1 4 0 0 | 4 4 2 2 2 2 2 2 4 4 2 2 | 2 2 2 2 2 2 2 2
.(.o). .(.o). .(.o). .(.o). | * * 4 * ♦ 0 1 0 0 4 0 1 1 1 | 0 0 4 1 1 2 2 4 4 0 0 4 1 1 | 2 2 4 4 2 2 2 2 2 2 4 4 | 2 2 2 2 2 2 2 2
.(..)o .(..)o .(..)o .(..)o | * * * 1 ♦ 0 0 0 0 0 4 0 0 4 | 0 0 0 0 0 0 0 0 0 2 2 16 2 2 | 0 0 0 0 0 0 0 0 8 8 8 8 | 0 0 0 0 4 4 4 4
-------------------------------+---------+--------------------+-------------------------------+-------------------------+----------------
o(o.). o(o.). o(o.). o(o.).&#x | 1 1 0 0 | 4 * * * * * * * * ♦ 1 1 4 0 0 0 0 0 0 0 0 0 0 0 | 4 4 2 2 0 0 0 0 0 0 0 0 | 2 2 2 2 0 0 0 0
o(.o). o(.o). o(.o). o(.o).&#x | 1 0 1 0 | * 4 * * * * * * * ♦ 0 0 4 1 1 0 0 0 0 0 0 0 0 0 | 2 2 4 4 0 0 0 0 0 0 0 0 | 2 2 2 2 0 0 0 0
.(x.). .(..). .(..). .(..). | 0 2 0 0 | * * 2 * * * * * * ♦ 1 0 0 0 0 4 0 0 0 1 0 0 0 0 | 4 0 0 0 2 2 0 0 4 0 0 0 | 2 2 0 0 2 2 0 0
.(..). .(x.). .(..). .(..). | 0 2 0 0 | * * * 2 * * * * * ♦ 0 1 0 0 0 0 4 0 0 0 1 0 0 0 | 0 4 0 0 0 0 0 2 2 0 4 0 | 0 0 2 2 0 0 2 2
.(oo). .(oo). .(oo). .(oo).&#x | 0 1 1 0 | * * * * 16 * * * * ♦ 0 0 1 0 0 1 1 1 1 0 0 1 0 0 | 1 1 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1 1 1 1
.(o.)o .(o.)o .(o.)o .(o.)o&#x | 0 1 0 1 | * * * * * 4 * * * ♦ 0 0 0 0 0 0 0 0 0 1 1 4 0 0 | 0 0 0 0 0 0 0 0 4 4 2 2 | 0 0 0 0 2 2 2 2
.(..). .(..). .(.x). .(..). | 0 0 2 0 | * * * * * * 2 * * ♦ 0 0 0 1 0 0 0 4 0 0 0 0 1 0 | 0 0 4 0 2 0 2 0 0 0 4 0 | 2 0 2 0 2 0 2 0
.(..). .(..). .(..). .(.x). | 0 0 2 0 | * * * * * * * 2 * ♦ 0 0 0 0 1 0 0 0 4 0 0 0 0 1 | 0 0 0 4 0 2 0 2 0 0 0 4 | 0 2 0 2 0 2 0 2
.(.o)o .(.o)o .(.o)o .(.o)o&#x | 0 0 1 1 | * * * * * * * * 4 ♦ 0 0 0 0 0 0 0 0 0 0 0 4 1 1 | 0 0 0 0 0 0 0 0 2 2 4 4 | 0 0 0 0 2 2 2 2
-------------------------------+---------+--------------------+-------------------------------+-------------------------+----------------
o(x.). .(..). .(..). .(..).&#x | 1 2 0 0 | 2 0 1 0 0 0 0 0 0 | 2 * * * * * * * * * * * * * | 4 0 0 0 0 0 0 0 0 0 0 0 | 2 2 0 0 0 0 0 0
.(..). o(x.). .(..). .(..).&#x | 1 2 0 0 | 2 0 0 1 0 0 0 0 0 | * 2 * * * * * * * * * * * * | 0 4 0 0 0 0 0 0 0 0 0 0 | 0 0 2 2 0 0 0 0
o(oo). o(oo). o(oo). o(oo).&#x | 1 1 1 0 | 1 1 0 0 1 0 0 0 0 | * * 16 * * * * * * * * * * * | 1 1 1 1 0 0 0 0 0 0 0 0 | 1 1 1 1 0 0 0 0
.(..). .(..). o(.x). .(..).&#x | 1 0 2 0 | 0 2 0 0 0 0 1 0 0 | * * * 2 * * * * * * * * * * | 0 0 4 0 0 0 0 0 0 0 0 0 | 2 0 2 0 0 0 0 0
.(..). .(..). .(..). o(.x).&#x | 1 0 2 0 | 0 2 0 0 0 0 0 1 0 | * * * * 2 * * * * * * * * * | 0 0 0 4 0 0 0 0 0 0 0 0 | 0 2 0 2 0 0 0 0
.(xo). .(..). .(..). .(..).&#x | 0 2 1 0 | 0 0 1 0 2 0 0 0 0 | * * * * * 8 * * * * * * * * | 1 0 0 0 1 1 0 0 1 0 0 0 | 1 1 0 0 1 1 0 0
.(..). .(xo). .(..). .(..).&#x | 0 2 1 0 | 0 0 0 1 2 0 0 0 0 | * * * * * * 8 * * * * * * * | 0 1 0 0 0 0 1 1 0 1 0 0 | 0 0 1 1 0 0 1 1
.(..). .(..). .(ox). .(..).&#x | 0 1 2 0 | 0 0 0 0 2 0 1 0 0 | * * * * * * * 8 * * * * * * | 0 0 1 0 1 0 1 0 0 0 1 0 | 1 0 1 0 1 0 1 0
.(..). .(..). .(..). .(ox).&#x | 0 1 2 0 | 0 0 0 0 2 0 0 1 0 | * * * * * * * * 8 * * * * * | 0 0 0 1 0 1 0 1 0 0 0 1 | 0 1 0 1 0 1 0 1
.(x.)o .(..). .(..). .(..).&#x | 0 2 0 1 | 0 0 1 0 0 2 0 0 0 | * * * * * * * * * 2 * * * * | 0 0 0 0 0 0 0 0 4 0 0 0 | 0 0 0 0 2 2 0 0
.(..). .(x.)o .(..). .(..).&#x | 0 2 0 1 | 0 0 0 1 0 2 0 0 0 | * * * * * * * * * * 2 * * * | 0 0 0 0 0 0 0 0 0 4 0 0 | 0 0 0 0 0 0 2 2
.(oo)o .(oo)o .(oo)o .(oo)o&#x | 0 1 1 1 | 0 0 0 0 1 1 0 0 1 | * * * * * * * * * * * 16 * * | 0 0 0 0 0 0 0 0 1 1 1 1 | 0 0 0 0 1 1 1 1
.(..). .(..). .(.x)o .(..).&#x | 0 0 2 1 | 0 0 0 0 0 0 1 0 2 | * * * * * * * * * * * * 2 * | 0 0 0 0 0 0 0 0 0 0 4 0 | 0 0 0 0 2 0 2 0
.(..). .(..). .(..). .(.x)o&#x | 0 0 2 1 | 0 0 0 0 0 0 0 1 2 | * * * * * * * * * * * * * 2 | 0 0 0 0 0 0 0 0 0 0 0 4 | 0 0 0 0 0 2 0 2
-------------------------------+---------+--------------------+-------------------------------+-------------------------+----------------
o(xo). .(..). .(..). .(..).&#x ♦ 1 2 1 0 | 2 1 1 0 2 0 0 0 0 | 1 0 2 0 0 1 0 0 0 0 0 0 0 0 | 8 * * * * * * * * * * * | 1 1 0 0 0 0 0 0
.(..). o(xo). .(..). .(..).&#x ♦ 1 2 1 0 | 2 1 0 1 2 0 0 0 0 | 0 1 2 0 0 0 1 0 0 0 0 0 0 0 | * 8 * * * * * * * * * * | 0 0 1 1 0 0 0 0
.(..). .(..). o(ox). .(..).&#x ♦ 1 1 2 0 | 1 2 0 0 2 0 1 0 0 | 0 0 2 1 0 0 0 1 0 0 0 0 0 0 | * * 8 * * * * * * * * * | 1 0 1 0 0 0 0 0
.(..). .(..). .(..). o(ox).&#x ♦ 1 1 2 0 | 1 2 0 0 2 0 0 1 0 | 0 0 2 0 1 0 0 0 1 0 0 0 0 0 | * * * 8 * * * * * * * * | 0 1 0 1 0 0 0 0
.(xo). .(..). .(ox). .(..).&#x ♦ 0 2 2 0 | 0 0 1 0 4 0 1 0 0 | 0 0 0 0 0 2 0 2 0 0 0 0 0 0 | * * * * 4 * * * * * * * | 1 0 0 0 1 0 0 0
.(xo). .(..). .(..). .(ox).&#x ♦ 0 2 2 0 | 0 0 1 0 4 0 0 1 0 | 0 0 0 0 0 2 0 0 2 0 0 0 0 0 | * * * * * 4 * * * * * * | 0 1 0 0 0 1 0 0
.(..). .(xo). .(ox). .(..).&#x ♦ 0 2 2 0 | 0 0 0 1 4 0 1 0 0 | 0 0 0 0 0 0 2 2 0 0 0 0 0 0 | * * * * * * 4 * * * * * | 0 0 1 0 0 0 1 0
.(..). .(xo). .(..). .(ox).&#x ♦ 0 2 2 0 | 0 0 0 1 4 0 0 1 0 | 0 0 0 0 0 0 2 0 2 0 0 0 0 0 | * * * * * * * 4 * * * * | 0 0 0 1 0 0 0 1
.(xo)o .(..). .(..). .(..).&#x ♦ 0 2 1 1 | 0 0 1 0 2 2 0 0 1 | 0 0 0 0 0 1 0 0 0 1 0 2 0 0 | * * * * * * * * 8 * * * | 0 0 0 0 1 1 0 0
.(..). .(xo)o .(..). .(..).&#x ♦ 0 2 1 1 | 0 0 0 1 2 2 0 0 1 | 0 0 0 0 0 0 1 0 0 0 1 2 0 0 | * * * * * * * * * 8 * * | 0 0 0 0 0 0 1 1
.(..). .(..). .(ox)o .(..).&#x ♦ 0 1 2 1 | 0 0 0 0 2 1 1 0 2 | 0 0 0 0 0 0 0 1 0 0 0 2 1 0 | * * * * * * * * * * 8 * | 0 0 0 0 1 0 1 0
.(..). .(..). .(..). .(ox)o&#x ♦ 0 1 2 1 | 0 0 0 0 2 1 0 1 2 | 0 0 0 0 0 0 0 0 1 0 0 2 0 1 | * * * * * * * * * * * 8 | 0 0 0 0 0 1 0 1
-------------------------------+---------+--------------------+-------------------------------+-------------------------+----------------
o(xo). .(..). o(ox). .(..).&#x ♦ 1 2 2 0 | 2 2 1 0 4 0 1 0 0 | 1 0 4 1 0 2 0 2 0 0 0 0 0 0 | 2 0 2 0 1 0 0 0 0 0 0 0 | 4 * * * * * * *
o(xo). .(..). .(..). o(ox).&#x ♦ 1 2 2 0 | 2 2 1 0 4 0 0 1 0 | 1 0 4 0 1 2 0 0 2 0 0 0 0 0 | 2 0 0 2 0 1 0 0 0 0 0 0 | * 4 * * * * * *
.(..). o(xo). o(ox). .(..).&#x ♦ 1 2 2 0 | 2 2 0 1 4 0 1 0 0 | 0 1 4 1 0 0 2 2 0 0 0 0 0 0 | 0 2 2 0 0 0 1 0 0 0 0 0 | * * 4 * * * * *
.(..). o(xo). .(..). o(ox).&#x ♦ 1 2 2 0 | 2 2 0 1 4 0 0 1 0 | 0 1 4 0 1 0 2 0 2 0 0 0 0 0 | 0 2 0 2 0 0 0 1 0 0 0 0 | * * * 4 * * * *
.(xo)o .(..). .(ox)o .(..).&#x ♦ 0 2 2 1 | 0 0 1 0 4 2 1 0 2 | 0 0 0 0 0 2 0 2 0 1 0 4 1 0 | 0 0 0 0 1 0 0 0 2 0 2 0 | * * * * 4 * * *
.(xo)o .(..). .(..). .(ox)o&#x ♦ 0 2 2 1 | 0 0 1 0 4 2 0 1 2 | 0 0 0 0 0 2 0 0 2 1 0 4 0 1 | 0 0 0 0 0 1 0 0 2 0 0 2 | * * * * * 4 * *
.(..). .(xo)o .(ox)o .(..).&#x ♦ 0 2 2 1 | 0 0 0 1 4 2 1 0 2 | 0 0 0 0 0 0 2 2 0 0 1 4 1 0 | 0 0 0 0 0 0 1 0 0 2 2 0 | * * * * * * 4 *
.(..). .(xo)o .(..). .(ox)o&#x ♦ 0 2 2 1 | 0 0 0 1 4 2 0 1 2 | 0 0 0 0 0 0 2 0 2 0 1 4 0 1 | 0 0 0 0 0 0 0 1 0 2 0 2 | * * * * * * * 4