| Acronym | squete |
| Name |
square-pyramidal pyramid pyramid, square-tettene, triangular-square disphenoid, triangular-square duopyramid, half of the triacontiditeron |
| |,>,O device | line prism pyramid pyramid pyramid = ||>>> |
| Circumradius | 1/sqrt(2) = 0.707107 |
|
Lace city in approx. ASCII-art |
x o3o o x3o
x o3o
|
| General of army | (is itself convex) |
| Colonel of regiment | (is itself locally convex) |
| Dual | (topologically selfdual, in different orientation) |
| Face vector | 7, 19, 26, 19, 7 |
| Confer |
|
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External links |
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Incidence matrix according to Dynkin symbol
xo3oo ox4oo&#x → height = 1/sqrt(6) = 0.408248
(pyramid product of {3} with {4})
o.3o. o.4o. | 3 * ♦ 2 4 0 | 1 8 4 0 | 4 8 1 | 4 2
.o3.o .o4.o | * 4 | 0 3 2 | 0 3 6 1 | 1 6 3 | 2 3
---------------+-----+--------+-----------+--------+----
x. .. .. .. | 2 0 | 3 * * ♦ 1 4 0 0 | 4 4 0 | 4 1
oo3oo oo4oo&#x | 1 1 | * 12 * | 0 2 2 0 | 1 4 1 | 2 2
.. .. .x .. | 0 2 | * * 4 | 0 0 3 1 | 0 3 3 | 1 3
---------------+-----+--------+-----------+--------+----
x.3o. .. .. | 3 0 | 3 0 0 | 1 * * * | 4 0 0 | 4 0
xo .. .. ..&#x | 2 1 | 1 2 0 | * 12 * * | 1 2 0 | 2 1
.. .. ox ..&#x | 1 2 | 0 2 1 | * * 12 * | 0 2 1 | 1 2
.. .. .x4.o | 0 4 | 0 0 4 | * * * 1 | 0 0 3 | 0 3
---------------+-----+--------+-----------+--------+----
xo3oo .. ..&#x ♦ 3 1 | 3 3 0 | 1 3 0 0 | 4 * * | 2 0
xo .. ox ..&#x ♦ 2 2 | 1 4 1 | 0 2 2 0 | * 12 * | 1 1
.. .. ox4oo&#x ♦ 1 4 | 0 4 4 | 0 0 4 1 | * * 3 | 0 2
---------------+-----+--------+-----------+--------+----
xo3oo ox ..&#x ♦ 3 2 | 3 6 1 | 1 6 3 0 | 2 3 0 | 4 *
xo .. ox4oo&#x ♦ 2 4 | 1 8 4 | 0 4 8 1 | 0 4 2 | * 3
ox ox xo3oo&#x → height = 1/sqrt(6) = 0.408248
(pyramid product of {3} with {4})
o. o. o.3o. | 3 * ♦ 2 4 0 0 | 1 2 2 8 0 | 1 4 4 4 | 2 2 2
.o .o .o3.o | * 4 | 0 3 1 1 | 0 3 3 3 1 | 3 3 3 1 | 3 1 1
---------------+-----+----------+------------+---------+------
.. .. x. .. | 2 0 | 3 * * * ♦ 1 0 0 4 0 | 0 2 2 4 | 1 2 2
oo oo oo3oo&#x | 1 1 | * 12 * * | 0 1 1 2 0 | 1 2 2 1 | 2 1 1
.x .. .. .. | 0 2 | * * 2 * | 0 3 0 0 1 | 3 3 0 0 | 3 1 0
.. .x .. .. | 0 2 | * * * 2 | 0 0 3 0 1 | 3 0 3 0 | 3 0 1
---------------+-----+----------+------------+---------+------
.. .. x.3o. | 3 0 | 3 0 0 0 | 1 * * * * | 0 0 0 4 | 0 2 2
ox .. .. ..&#x | 1 2 | 0 2 1 0 | * 6 * * * | 1 2 0 0 | 2 1 0
.. ox .. ..&#x | 1 2 | 0 2 0 1 | * * 6 * * | 1 0 2 0 | 2 0 1
.. .. xo ..&#x | 2 1 | 1 2 0 0 | * * * 12 * | 0 1 1 1 | 1 1 1
.x .x .. .. | 0 4 | 0 0 2 2 | * * * * 1 | 3 0 0 0 | 3 0 0
---------------+-----+----------+------------+---------+------
ox ox .. ..&#x ♦ 1 4 | 0 4 2 2 | 0 2 2 0 1 | 3 * * * | 2 0 0
ox .. xo ..&#x ♦ 2 2 | 1 4 1 0 | 0 2 0 2 0 | * 6 * * | 1 1 0
.. ox xo ..&#x ♦ 2 2 | 1 4 0 1 | 0 0 2 2 0 | * * 6 * | 1 0 1
.. .. xo3oo&#x ♦ 3 1 | 3 3 0 0 | 1 0 0 3 0 | * * * 4 | 0 1 1
---------------+-----+----------+------------+---------+------
ox ox xo ..&#x ♦ 2 4 | 1 8 2 2 | 0 4 4 4 1 | 2 2 2 0 | 3 * *
ox .. xo3oo&#x ♦ 3 2 | 3 6 1 0 | 1 3 0 6 0 | 0 3 0 2 | * 2 *
.. ox xo3oo&#x ♦ 3 2 | 3 6 0 1 | 1 0 3 6 0 | 0 0 3 2 | * * 2
oox oox oxo&#x → height(1,2) = sqrt(3)/2 = 0.866025
height(1,3) = 1/sqrt(2) = 0.707107
height(2,3) = 1/2
o.. o.. o.. | 1 * * ♦ 2 4 0 0 0 0 | 1 2 2 8 0 0 0 0 | 1 4 4 4 0 0 0 | 2 2 2 0
.o. .o. .o. | * 2 * ♦ 1 0 1 4 0 0 | 1 0 0 4 2 2 4 0 | 0 2 2 4 1 2 2 | 1 2 2 1
..o ..o ..o | * * 4 | 0 1 0 2 1 1 | 0 1 1 2 2 2 1 1 | 1 2 2 1 2 1 1 | 2 1 1 1
---------------+-------+-------------+-----------------+---------------+--------
oo. oo. oo.&#x | 1 1 0 | 2 * * * * * ♦ 1 0 0 4 0 0 0 0 | 0 2 2 4 0 0 0 | 1 2 2 0
o.o o.o o.o&#x | 1 0 1 | * 4 * * * * | 0 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0
... ... .x. | 0 2 0 | * * 1 * * * ♦ 1 0 0 0 0 0 4 0 | 0 0 0 4 0 2 2 | 0 2 2 1
.oo .oo .oo&#x | 0 1 1 | * * * 8 * * | 0 0 0 1 1 1 1 0 | 0 1 1 1 1 1 1 | 1 1 1 1
..x ... ... | 0 0 2 | * * * * 2 * | 0 1 0 0 2 0 0 1 | 1 2 0 0 2 1 0 | 2 1 0 1
... ..x ... | 0 0 2 | * * * * * 2 | 0 0 1 0 0 2 0 1 | 1 0 2 0 2 0 1 | 2 0 1 1
---------------+-------+-------------+-----------------+---------------+--------
... ... ox.&#x | 1 2 0 | 2 0 1 0 0 0 | 1 * * * * * * * | 0 0 0 4 0 0 0 | 0 2 2 0
o.x ... ...&#x | 1 0 2 | 0 2 0 0 1 0 | * 2 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0
... o.x ...&#x | 1 0 2 | 0 2 0 0 0 1 | * * 2 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0
ooo ooo ooo&#x | 1 1 1 | 1 1 0 1 0 0 | * * * 8 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0
.ox ... ...&#x | 0 1 2 | 0 0 0 2 1 0 | * * * * 4 * * * | 0 1 0 0 1 1 0 | 1 1 0 1
... .ox ...&#x | 0 1 2 | 0 0 0 2 0 1 | * * * * * 4 * * | 0 0 1 0 1 0 1 | 1 0 1 1
... ... .xo&#x | 0 2 1 | 0 0 1 2 0 0 | * * * * * * 4 * | 0 0 0 1 0 1 1 | 0 1 1 1
..x ..x ... | 0 0 4 | 0 0 0 0 2 2 | * * * * * * * 1 | 1 0 0 0 2 0 0 | 2 0 0 1
---------------+-------+-------------+-----------------+---------------+--------
o.x o.x ...&#x ♦ 1 0 4 | 0 4 0 0 2 2 | 0 2 2 0 0 0 0 1 | 1 * * * * * * | 2 0 0 0
oox ... ...&#x ♦ 1 1 2 | 1 2 0 2 1 0 | 0 1 0 2 1 0 0 0 | * 4 * * * * * | 1 1 0 0
... oox ...&#x ♦ 1 1 2 | 1 2 0 2 0 1 | 0 0 1 2 0 1 0 0 | * * 4 * * * * | 1 0 1 0
... ... oxo&#x ♦ 1 2 1 | 2 1 1 2 0 0 | 1 0 0 2 0 0 1 0 | * * * 4 * * * | 0 1 1 0
.ox .ox ...&#x ♦ 0 1 4 | 0 0 0 4 2 2 | 0 0 0 0 2 2 0 1 | * * * * 2 * * | 1 0 0 1
.ox ... .xo&#x ♦ 0 2 2 | 0 0 1 4 1 0 | 0 0 0 0 2 0 2 0 | * * * * * 2 * | 0 1 0 1
... .ox .xo&#x ♦ 0 2 2 | 0 0 1 4 0 1 | 0 0 0 0 0 2 2 0 | * * * * * * 2 | 0 0 1 1
---------------+-------+-------------+-----------------+---------------+--------
oox oox ...&#x ♦ 1 1 4 | 1 4 0 4 2 2 | 0 2 2 4 2 2 0 1 | 1 2 2 0 1 0 0 | 2 * * *
oox ... oxo&#x ♦ 1 2 2 | 2 2 1 4 1 0 | 1 1 0 4 2 0 2 0 | 0 2 0 2 0 1 0 | * 2 * *
... oox oxo&#x ♦ 1 2 2 | 2 2 1 4 0 1 | 1 0 1 4 0 2 2 0 | 0 0 2 2 0 0 1 | * * 2 *
.ox .ox .xo&#x ♦ 0 2 4 | 0 0 1 8 2 2 | 0 0 0 0 4 4 4 1 | 0 0 0 0 2 2 2 | * * * 1
xoo3ooo oxx&#x → height(1,2) = height(1,3) = sqrt(5/12) = 0.645497
height(2,3) = 1
o..3o.. o.. | 3 * * | 2 2 2 0 0 0 | 1 4 1 4 1 2 0 | 2 2 2 2 4 1 | 1 1 2 2
.o.3.o. .o. | * 2 * | 0 3 0 1 1 0 | 0 3 3 0 0 3 1 | 1 3 0 0 3 3 | 1 0 1 3
..o3..o ..o | * * 2 | 0 0 3 0 1 1 | 0 0 0 3 3 3 1 | 0 0 1 3 3 3 | 0 1 1 3
---------------+-------+-------------+---------------+-------------+--------
x.. ... ... | 2 0 0 | 3 * * * * * | 1 2 0 2 0 0 0 | 2 1 2 1 2 0 | 1 1 2 1
oo.3oo. oo.&#x | 1 1 0 | * 6 * * * * | 0 2 1 0 0 1 0 | 1 2 0 0 2 1 | 1 0 1 2
o.o3o.o o.o&#x | 1 0 1 | * * 6 * * * | 0 0 0 2 1 1 0 | 0 0 1 2 2 1 | 0 1 1 2
... ... .x. | 0 2 0 | * * * 1 * * | 0 0 3 0 0 0 1 | 0 3 0 0 0 3 | 1 0 0 3
.oo3.oo .oo&#x | 0 1 1 | * * * * 2 * | 0 0 0 0 0 3 1 | 0 0 0 0 3 3 | 0 0 1 3
... ... ..x | 0 0 2 | * * * * * 1 | 0 0 0 0 3 0 1 | 0 0 0 3 0 3 | 0 1 0 3
---------------+-------+-------------+---------------+-------------+--------
x..3o.. ... | 3 0 0 | 3 0 0 0 0 0 | 1 * * * * * * | 2 0 2 0 0 0 | 1 1 2 0
xo. ... ...&#x | 2 1 0 | 1 2 0 0 0 0 | * 6 * * * * * | 1 1 0 0 1 0 | 1 0 1 1
... ... ox.&#x | 1 2 0 | 0 2 0 1 0 0 | * * 3 * * * * | 0 2 0 0 0 1 | 1 0 0 2
x.o ... ...&#x | 2 0 1 | 1 0 2 0 0 0 | * * * 6 * * * | 0 0 1 1 1 0 | 0 1 1 1
... ... o.x&#x | 1 0 2 | 0 0 2 0 0 1 | * * * * 3 * * | 0 0 0 2 0 1 | 0 1 0 2
ooo3ooo ooo&#x | 1 1 1 | 0 1 1 0 1 0 | * * * * * 6 * | 0 0 0 0 2 1 | 0 0 1 2
... ... .xx&#x | 0 2 2 | 0 0 0 1 2 1 | * * * * * * 1 | 0 0 0 0 0 3 | 0 0 0 3
---------------+-------+-------------+---------------+-------------+--------
xo.3oo. ...&#x ♦ 3 1 0 | 3 3 0 0 0 0 | 1 3 0 0 0 0 0 | 2 * * * * * | 1 0 1 0
xo. ... ox.&#x ♦ 2 2 0 | 1 4 0 1 0 0 | 0 2 2 0 0 0 0 | * 3 * * * * | 1 0 0 1
x.o3o.o ...&#x ♦ 3 0 1 | 3 0 3 0 0 0 | 1 0 0 3 0 0 0 | * * 2 * * * | 0 1 1 0
x.o ... o.x&#x ♦ 2 0 2 | 1 0 4 0 0 1 | 0 0 0 2 2 0 0 | * * * 3 * * | 0 1 0 1
xoo ... ...&#x ♦ 2 1 1 | 1 2 2 0 1 0 | 0 1 0 1 0 2 0 | * * * * 6 * | 0 0 1 1
... ... oxx&#x ♦ 1 2 2 | 0 2 2 1 2 1 | 0 0 1 0 1 2 1 | * * * * * 3 | 0 0 0 2
---------------+-------+-------------+---------------+-------------+--------
xo.3oo. ox.&#x ♦ 3 2 0 | 3 6 0 1 0 0 | 1 6 3 0 0 0 0 | 2 3 0 0 0 0 | 1 * * *
x.o3o.o o.x&#x ♦ 3 0 2 | 3 0 6 0 0 1 | 1 0 0 6 3 0 0 | 0 0 2 3 0 0 | * 1 * *
xoo3ooo ...&#x ♦ 3 1 1 | 3 3 3 0 1 0 | 1 3 0 3 0 3 0 | 1 0 1 0 3 0 | * * 2 *
xoo ... oxx&#x ♦ 2 2 2 | 1 4 4 1 2 1 | 0 2 2 2 2 4 1 | 0 1 0 1 2 2 | * * * 3
or o..3o.. o.. | 3 * | 2 4 0 0 | 1 8 2 2 0 | 4 4 4 1 | 2 2 2 .o.3.o. .o. & | * 4 | 0 3 1 1 | 0 3 3 3 1 | 1 3 3 3 | 1 1 3 -----------------+-----+----------+------------+---------+------ x.. ... ... | 2 0 | 3 * * * | 1 4 0 0 0 | 4 2 2 0 | 2 2 1 oo.3oo. oo.&#x & | 1 1 | * 12 * * | 0 2 1 1 0 | 1 2 2 1 | 1 1 2 ... ... .x. & | 0 2 | * * 2 * | 0 0 3 0 1 | 0 3 0 3 | 1 0 3 .oo3.oo .oo&#x | 0 2 | * * * 2 | 0 0 0 3 1 | 0 0 3 3 | 0 1 3 -----------------+-----+----------+------------+---------+------ x..3o.. ... | 3 0 | 3 0 0 0 | 1 * * * * | 4 0 0 0 | 2 2 0 xo. ... ...&#x & | 2 1 | 1 2 0 0 | * 12 * * * | 1 1 1 0 | 1 1 1 ... ... ox.&#x & | 1 2 | 0 2 1 0 | * * 6 * * | 0 2 0 1 | 1 0 2 ooo3ooo ooo&#x | 1 2 | 0 2 0 1 | * * * 6 * | 0 0 2 1 | 0 1 2 ... ... .xx&#x | 0 4 | 0 0 2 2 | * * * * 1 | 0 0 0 3 | 0 0 3 -----------------+-----+----------+------------+---------+------ xo.3oo. ...&#x & ♦ 3 1 | 3 3 0 0 | 1 3 0 0 0 | 4 * * * | 1 1 0 xo. ... ox.&#x & ♦ 2 2 | 1 4 1 0 | 0 2 2 0 0 | * 6 * * | 1 0 1 xoo ... ...&#x ♦ 2 2 | 1 4 0 1 | 0 2 0 2 0 | * * 6 * | 0 1 1 ... ... oxx&#x ♦ 1 4 | 0 4 2 2 | 0 0 2 2 1 | * * * 3 | 0 0 2 -----------------+-----+----------+------------+---------+------ xo.3oo. ox.&#x & ♦ 3 2 | 3 6 1 0 | 1 6 3 0 0 | 2 3 0 0 | 2 * * xoo3ooo ...&#x ♦ 3 2 | 3 6 0 1 | 1 6 0 3 0 | 2 0 3 0 | * 2 * xoo ... oxx&#x ♦ 2 4 | 1 8 2 2 | 0 4 4 4 1 | 0 2 2 2 | * * 3
ooox4oooo&#x → height(1,2) = height(1,3) = height(2,3) = 1
height(1,4) = height(2,4) = height(3,4) = 1/sqrt(2) = 0.707107
o...4o... | 1 * * * ♦ 1 1 4 0 0 0 0 | 1 4 4 4 0 0 0 0 | 4 4 4 1 0 0 0 | 4 1 1 0
.o..4.o.. | * 1 * * ♦ 1 0 0 1 4 0 0 | 1 4 0 0 4 4 0 0 | 4 4 0 0 4 1 0 | 4 1 0 1
..o.4..o. | * * 1 * ♦ 0 1 0 1 0 4 0 | 1 0 4 0 4 0 4 0 | 4 0 4 0 4 0 1 | 4 0 1 1
...o4...o | * * * 4 | 0 0 1 0 1 1 2 | 0 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1
-------------+---------+---------------+-----------------+---------------+--------
oo..4oo..&#x | 1 1 0 0 | 1 * * * * * * ♦ 1 4 0 0 0 0 0 0 | 4 4 0 0 0 0 0 | 4 1 0 0
o.o.4o.o.&#x | 1 0 1 0 | * 1 * * * * * ♦ 1 0 4 0 0 0 0 0 | 4 0 4 0 0 0 0 | 4 0 1 0
o..o4o..o&#x | 1 0 0 1 | * * 4 * * * * | 0 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0
.oo.4.oo.&#x | 0 1 1 0 | * * * 1 * * * ♦ 1 0 0 0 4 0 0 0 | 4 0 0 0 4 0 0 | 4 0 0 1
.o.o4.o.o&#x | 0 1 0 1 | * * * * 4 * * | 0 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1
..oo4..oo&#x | 0 0 1 1 | * * * * * 4 * | 0 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1
...x .... | 0 0 0 2 | * * * * * * 4 | 0 0 0 1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1
-------------+---------+---------------+-----------------+---------------+--------
ooo.4ooo.&#x | 1 1 1 0 | 1 1 0 1 0 0 0 | 1 * * * * * * * | 4 0 0 0 0 0 0 | 4 0 0 0
oo.o4oo.o&#x | 1 1 0 1 | 1 0 1 0 1 0 0 | * 4 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0
o.oo4o.oo&#x | 1 0 1 1 | 0 1 1 0 0 1 0 | * * 4 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0
o..x ....&#x | 1 0 0 2 | 0 0 2 0 0 0 1 | * * * 4 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0
.ooo4.ooo&#x | 0 1 1 1 | 0 0 0 1 1 1 0 | * * * * 4 * * * | 1 0 0 0 2 0 0 | 2 0 0 1
.o.x ....&#x | 0 1 0 2 | 0 0 0 0 2 0 1 | * * * * * 4 * * | 0 1 0 0 1 1 0 | 1 1 0 1
..ox ....&#x | 0 0 1 2 | 0 0 0 0 0 2 1 | * * * * * * 4 * | 0 0 1 0 1 0 1 | 1 0 1 1
...x4...o | 0 0 0 4 | 0 0 0 0 0 0 4 | * * * * * * * 1 | 0 0 0 1 0 1 1 | 0 1 1 1
-------------+---------+---------------+-----------------+---------------+--------
oooo4oooo&#x ♦ 1 1 1 1 | 1 1 1 1 1 1 0 | 1 1 1 0 1 0 0 0 | 4 * * * * * * | 2 0 0 0
oo.x ....&#x ♦ 1 1 0 2 | 1 0 2 0 2 0 1 | 0 2 0 1 0 1 0 0 | * 4 * * * * * | 1 1 0 0
o.ox ....&#x ♦ 1 0 1 2 | 0 1 2 0 0 2 1 | 0 0 2 1 0 0 1 0 | * * 4 * * * * | 1 0 1 0
o..x4o..o&#x ♦ 1 0 0 4 | 0 0 4 0 0 0 4 | 0 0 0 4 0 0 0 1 | * * * 1 * * * | 0 1 1 0
.oox ....&#x ♦ 0 1 1 2 | 0 0 0 1 2 2 1 | 0 0 0 0 2 1 1 0 | * * * * 4 * * | 1 0 0 1
.o.x4.o.o&#x ♦ 0 1 0 4 | 0 0 0 0 4 0 4 | 0 0 0 0 0 4 0 1 | * * * * * 1 * | 0 1 0 1
..ox4..oo&#x ♦ 0 0 1 4 | 0 0 0 0 0 4 4 | 0 0 0 0 0 0 4 1 | * * * * * * 1 | 0 0 1 1
-------------+---------+---------------+-----------------+---------------+--------
ooox ....&#x ♦ 1 1 1 2 | 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 0 | 2 1 1 0 1 0 0 | 4 * * *
oo.x4oo.o&#x ♦ 1 1 0 4 | 1 0 4 0 4 0 4 | 0 4 0 4 0 4 0 1 | 0 4 0 1 0 1 0 | * 1 * *
o.ox4o.oo&#x ♦ 1 0 1 4 | 0 1 4 0 0 4 4 | 0 0 4 4 0 0 4 1 | 0 0 4 1 0 0 1 | * * 1 *
.oox4.ooo&#x ♦ 0 1 1 4 | 0 0 0 1 4 4 4 | 0 0 0 0 4 4 4 1 | 0 0 0 0 4 1 1 | * * * 1
ooox ooox&#x → height(1,2) = height(1,3) = height(2,3) = 1
height(1,4) = height(2,4) = height(3,4) = 1/sqrt(2) = 0.707107
o... o... | 1 * * * ♦ 1 1 4 0 0 0 0 0 | 1 4 4 2 2 0 0 0 0 0 0 | 4 2 2 2 2 1 0 0 0 0 | 2 2 1 1 0
.o.. .o.. | * 1 * * ♦ 1 0 0 1 4 0 0 0 | 1 4 0 0 0 4 2 2 0 0 0 | 4 2 2 0 0 0 2 2 1 0 | 2 2 1 0 1
..o. ..o. | * * 1 * ♦ 0 1 0 1 0 4 0 0 | 1 0 4 0 0 4 0 0 2 2 0 | 4 0 0 2 2 0 2 2 0 1 | 2 2 0 1 1
...o ...o | * * * 4 | 0 0 1 0 1 1 1 1 | 0 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1 1 1 1 1 1 | 1 1 1 1 1
-------------+---------+-----------------+-----------------------+---------------------+----------
oo.. oo..&#x | 1 1 0 0 | 1 * * * * * * * ♦ 1 4 0 0 0 0 0 0 0 0 0 | 4 2 2 0 0 0 0 0 0 0 | 2 2 1 0 0
o.o. o.o.&#x | 1 0 1 0 | * 1 * * * * * * ♦ 1 0 4 0 0 0 0 0 0 0 0 | 4 0 0 2 2 0 0 0 0 0 | 2 2 0 1 0
o..o o..o&#x | 1 0 0 1 | * * 4 * * * * * | 0 1 1 1 1 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0
.oo. .oo.&#x | 0 1 1 0 | * * * 1 * * * * ♦ 1 0 0 0 0 4 0 0 0 0 0 | 4 0 0 0 0 0 2 2 0 0 | 2 2 0 0 1
.o.o .o.o&#x | 0 1 0 1 | * * * * 4 * * * | 0 1 0 0 0 1 1 1 0 0 0 | 1 1 1 0 0 0 1 1 1 0 | 1 1 1 0 1
..oo ..oo&#x | 0 0 1 1 | * * * * * 4 * * | 0 0 1 0 0 1 0 0 1 1 0 | 1 0 0 1 1 0 1 1 0 1 | 1 1 0 1 1
...x .... | 0 0 0 2 | * * * * * * 2 * | 0 0 0 1 0 0 1 0 1 0 1 | 0 1 0 1 0 1 1 0 1 1 | 1 0 1 1 1
.... ...x | 0 0 0 2 | * * * * * * * 2 | 0 0 0 0 1 0 0 1 0 1 1 | 0 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1
-------------+---------+-----------------+-----------------------+---------------------+----------
ooo. ooo.&#x | 1 1 1 0 | 1 1 0 1 0 0 0 0 | 1 * * * * * * * * * * | 4 0 0 0 0 0 0 0 0 0 | 2 2 0 0 0
oo.o oo.o&#x | 1 1 0 1 | 1 0 1 0 1 0 0 0 | * 4 * * * * * * * * * | 1 1 1 0 0 0 0 0 0 0 | 1 1 1 0 0
o.oo o.oo&#x | 1 0 1 1 | 0 1 1 0 0 1 0 0 | * * 4 * * * * * * * * | 1 0 0 1 1 0 0 0 0 0 | 1 1 0 1 0
o..x ....&#x | 1 0 0 2 | 0 0 2 0 0 0 1 0 | * * * 2 * * * * * * * | 0 1 0 1 0 1 0 0 0 0 | 1 0 1 1 0
.... o..x&#x | 1 0 0 2 | 0 0 2 0 0 0 0 1 | * * * * 2 * * * * * * | 0 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0
.ooo .ooo&#x | 0 1 1 1 | 0 0 0 1 1 1 0 0 | * * * * * 4 * * * * * | 1 0 0 0 0 0 1 1 0 0 | 1 1 0 0 1
.o.x ....&#x | 0 1 0 2 | 0 0 0 0 2 0 1 0 | * * * * * * 2 * * * * | 0 1 0 0 0 0 1 0 1 0 | 1 0 1 0 1
.... .o.x&#x | 0 1 0 2 | 0 0 0 0 2 0 0 1 | * * * * * * * 2 * * * | 0 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1
..ox ....&#x | 0 0 1 2 | 0 0 0 0 0 2 1 0 | * * * * * * * * 2 * * | 0 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1
.... ..ox&#x | 0 0 1 2 | 0 0 0 0 0 2 0 1 | * * * * * * * * * 2 * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1
...x ...x | 0 0 0 4 | 0 0 0 0 0 0 2 2 | * * * * * * * * * * 1 | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1
-------------+---------+-----------------+-----------------------+---------------------+----------
oooo oooo&#x ♦ 1 1 1 1 | 1 1 1 1 1 1 0 0 | 1 1 1 0 0 1 0 0 0 0 0 | 4 * * * * * * * * * | 1 1 0 0 0
oo.x ....&#x ♦ 1 1 0 2 | 1 0 2 0 2 0 1 0 | 0 2 0 1 0 0 1 0 0 0 0 | * 2 * * * * * * * * | 1 0 1 0 0
.... oo.x&#x ♦ 1 1 0 2 | 1 0 2 0 2 0 0 1 | 0 2 0 0 1 0 0 1 0 0 0 | * * 2 * * * * * * * | 0 1 1 0 0
o.ox ....&#x ♦ 1 0 1 2 | 0 1 2 0 0 2 1 0 | 0 0 2 1 0 0 0 0 1 0 0 | * * * 2 * * * * * * | 1 0 0 1 0
.... o.ox&#x ♦ 1 0 1 2 | 0 1 2 0 0 2 0 1 | 0 0 2 0 1 0 0 0 0 1 0 | * * * * 2 * * * * * | 0 1 0 1 0
o..x o..x&#x ♦ 1 0 0 4 | 0 0 4 0 0 0 2 2 | 0 0 0 2 2 0 0 0 0 0 1 | * * * * * 1 * * * * | 0 0 1 1 0
.oox ....&#x ♦ 0 1 1 2 | 0 0 0 1 2 2 1 0 | 0 0 0 0 0 2 1 0 1 0 0 | * * * * * * 2 * * * | 1 0 0 0 1
.... .oox&#x ♦ 0 1 1 2 | 0 0 0 1 2 2 0 1 | 0 0 0 0 0 2 0 1 0 1 0 | * * * * * * * 2 * * | 0 1 0 0 1
.o.x .o.x&#x ♦ 0 1 0 4 | 0 0 0 0 4 0 2 2 | 0 0 0 0 0 0 2 2 0 0 1 | * * * * * * * * 1 * | 0 0 1 0 1
..ox ..ox&#x ♦ 0 0 1 4 | 0 0 0 0 0 4 2 2 | 0 0 0 0 0 0 0 0 2 2 1 | * * * * * * * * * 1 | 0 0 0 1 1
-------------+---------+-----------------+-----------------------+---------------------+----------
ooox ....&#x ♦ 1 1 1 2 | 1 1 2 1 2 2 1 0 | 1 2 2 1 0 2 1 0 1 0 0 | 2 1 0 1 0 0 1 0 0 0 | 2 * * * *
.... ooox&#x ♦ 1 1 1 2 | 1 1 2 1 2 2 0 1 | 1 2 2 0 1 2 0 1 0 1 0 | 2 0 1 0 1 0 0 1 0 0 | * 2 * * *
oo.x oo.x&#x ♦ 1 1 0 4 | 1 0 4 0 4 0 2 2 | 0 4 0 2 2 0 2 2 0 0 1 | 0 2 2 0 0 1 0 0 1 0 | * * 1 * *
o.ox o.ox&#x ♦ 1 0 1 4 | 0 1 4 0 0 4 2 2 | 0 0 4 2 2 0 0 0 2 2 1 | 0 0 0 2 2 1 0 0 0 1 | * * * 1 *
.oox .oox&#x ♦ 0 1 1 4 | 0 0 0 1 4 4 2 2 | 0 0 0 0 0 4 2 2 2 2 1 | 0 0 0 0 0 0 2 2 1 1 | * * * * 1
ooox oxxo&#x → height(1,2) = height(1,3) = height(1,4) = sqrt(3)/2 = 0.866025
height(2,3) = 1
height(2,4) = height(3,4) = 1/sqrt(2) = 0.707107
o... o... | 1 * * * ♦ 2 2 2 0 0 0 0 0 0 | 1 2 4 1 4 1 0 0 0 0 0 0 | 1 4 2 2 2 2 0 0 0 0 | 2 2 1 1 0
.o.. .o.. | * 2 * * | 1 0 0 1 1 2 0 0 0 | 1 1 2 0 0 0 1 2 1 2 0 0 | 1 2 1 2 0 0 1 2 1 0 | 1 2 1 0 1
..o. ..o. | * * 2 * | 0 1 0 0 1 0 1 2 0 | 0 1 0 1 2 0 1 2 0 0 1 2 | 1 2 0 0 1 2 1 2 0 1 | 1 2 0 1 1
...o ...o | * * * 2 ♦ 0 0 1 0 0 2 0 2 1 | 0 0 2 0 2 1 0 2 2 1 2 1 | 0 2 2 1 2 1 2 1 1 1 | 2 1 1 1 1
-------------+---------+-------------------+-------------------------+---------------------+----------
oo.. oo..&#x | 1 1 0 0 | 2 * * * * * * * * | 1 1 2 0 0 0 0 0 0 0 0 0 | 1 2 1 2 0 0 0 0 0 0 | 1 2 1 0 0
o.o. o.o.&#x | 1 0 1 0 | * 2 * * * * * * * | 0 1 0 1 2 0 0 0 0 0 0 0 | 1 2 0 0 1 2 0 0 0 0 | 1 2 0 1 0
o..o o..o&#x | 1 0 0 1 | * * 2 * * * * * * ♦ 0 0 2 0 2 1 0 0 0 0 0 0 | 0 2 2 1 2 1 0 0 0 0 | 2 1 1 1 0
.... .x.. | 0 2 0 0 | * * * 1 * * * * * | 1 0 0 0 0 0 1 0 0 2 0 0 | 1 0 0 2 0 0 0 2 1 0 | 0 2 1 0 1
.oo. .oo.&#x | 0 1 1 0 | * * * * 2 * * * * | 0 1 0 0 0 0 1 2 0 0 0 0 | 1 2 0 0 0 0 1 2 0 0 | 1 2 0 0 1
.o.o .o.o&#x | 0 1 0 1 | * * * * * 4 * * * | 0 0 1 0 0 0 0 1 1 1 0 0 | 0 1 1 1 0 0 1 1 1 0 | 1 1 1 0 1
.... ..x. | 0 0 2 0 | * * * * * * 1 * * | 0 0 0 1 0 0 1 0 0 0 0 2 | 1 0 0 0 0 2 0 2 0 1 | 0 2 0 1 1
..oo ..oo&#x | 0 0 1 1 | * * * * * * * 4 * | 0 0 0 0 1 0 0 1 0 0 1 1 | 0 1 0 0 1 1 1 1 0 1 | 1 1 0 1 1
...x .... | 0 0 0 2 | * * * * * * * * 1 ♦ 0 0 0 0 0 1 0 0 2 0 2 0 | 0 0 2 0 2 0 2 0 1 1 | 2 0 1 1 1
-------------+---------+-------------------+-------------------------+---------------------+----------
.... ox..&#x | 1 2 0 0 | 2 0 0 1 0 0 0 0 0 | 1 * * * * * * * * * * * | 1 0 0 2 0 0 0 0 0 0 | 0 2 1 0 0
ooo. ooo.&#x | 1 1 1 0 | 1 1 0 0 1 0 0 0 0 | * 2 * * * * * * * * * * | 1 2 0 0 0 0 0 0 0 0 | 1 2 0 0 0
oo.o oo.o&#x | 1 1 0 1 | 1 0 1 0 0 1 0 0 0 | * * 4 * * * * * * * * * | 0 1 1 1 0 0 0 0 0 0 | 1 1 1 0 0
.... o.x.&#x | 1 0 2 0 | 0 2 0 0 0 0 1 0 0 | * * * 1 * * * * * * * * | 1 0 0 0 0 2 0 0 0 0 | 0 2 0 1 0
o.oo o.oo&#x | 1 0 1 1 | 0 1 1 0 0 0 0 1 0 | * * * * 4 * * * * * * * | 0 1 0 0 1 1 0 0 0 0 | 1 1 0 1 0
o..x ....&#x | 1 0 0 2 | 0 0 2 0 0 0 0 0 1 | * * * * * 1 * * * * * * | 0 0 2 0 2 0 0 0 0 0 | 2 0 1 1 0
.... .xx.&#x | 0 2 2 0 | 0 0 0 1 2 0 1 0 0 | * * * * * * 1 * * * * * | 1 0 0 0 0 0 0 2 0 0 | 0 2 0 0 1
.ooo .ooo&#x | 0 1 1 1 | 0 0 0 0 1 1 0 1 0 | * * * * * * * 4 * * * * | 0 1 0 0 0 0 1 1 0 0 | 1 1 0 0 1
.o.x ....&#x | 0 1 0 2 | 0 0 0 0 0 2 0 0 1 | * * * * * * * * 2 * * * | 0 0 1 0 0 0 1 0 1 0 | 1 0 1 0 1
.... .x.o&#x | 0 2 0 1 | 0 0 0 1 0 2 0 0 0 | * * * * * * * * * 2 * * | 0 0 0 1 0 0 0 1 1 0 | 0 1 1 0 1
..ox ....&#x | 0 0 1 2 | 0 0 0 0 0 0 0 2 1 | * * * * * * * * * * 2 * | 0 0 0 0 1 0 1 0 0 1 | 1 0 0 1 1
.... ..xo&#x | 0 0 2 1 | 0 0 0 0 0 0 1 2 0 | * * * * * * * * * * * 2 | 0 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1
-------------+---------+-------------------+-------------------------+---------------------+----------
.... oxx.&#x ♦ 1 2 2 0 | 2 2 0 1 2 0 1 0 0 | 1 2 0 1 0 0 1 0 0 0 0 0 | 1 * * * * * * * * * | 0 2 0 0 0
oooo oooo&#x ♦ 1 1 1 1 | 1 1 1 0 1 1 0 1 0 | 0 1 1 0 1 0 0 1 0 0 0 0 | * 4 * * * * * * * * | 1 1 0 0 0
oo.x ....&#x ♦ 1 1 0 2 | 1 0 2 0 0 2 0 0 1 | 0 0 2 0 0 1 0 0 1 0 0 0 | * * 2 * * * * * * * | 1 0 1 0 0
.... ox.o&#x ♦ 1 2 0 1 | 2 0 1 1 0 2 0 0 0 | 1 0 2 0 0 0 0 0 0 1 0 0 | * * * 2 * * * * * * | 0 1 1 0 0
o.ox ....&#x ♦ 1 0 1 2 | 0 1 2 0 0 0 0 2 1 | 0 0 0 0 2 1 0 0 0 0 1 0 | * * * * 2 * * * * * | 1 0 0 1 0
.... o.xo&#x ♦ 1 0 2 1 | 0 2 1 0 0 0 1 2 0 | 0 0 0 1 2 0 0 0 0 0 0 1 | * * * * * 2 * * * * | 0 1 0 1 0
.oox ....&#x ♦ 0 1 1 2 | 0 0 0 0 1 2 0 2 1 | 0 0 0 0 0 0 0 2 1 0 1 0 | * * * * * * 2 * * * | 1 0 0 0 1
.... .xxo&#x ♦ 0 2 2 1 | 0 0 0 1 2 2 1 2 0 | 0 0 0 0 0 0 1 2 0 1 0 1 | * * * * * * * 2 * * | 0 1 0 0 1
.o.x .x.o&#x ♦ 0 2 0 2 | 0 0 0 1 0 4 0 0 1 | 0 0 0 0 0 0 0 0 2 2 0 0 | * * * * * * * * 1 * | 0 0 1 0 1
..ox ..xo&#x ♦ 0 0 2 2 | 0 0 0 0 0 0 1 4 1 | 0 0 0 0 0 0 0 0 0 0 2 2 | * * * * * * * * * 1 | 0 0 0 1 1
-------------+---------+-------------------+-------------------------+---------------------+----------
ooox ....&#x ♦ 1 1 1 2 | 1 1 2 0 1 2 0 2 1 | 0 1 2 0 2 1 0 2 1 0 1 0 | 0 2 1 0 1 0 1 0 0 0 | 2 * * * *
.... oxxo&#x ♦ 1 2 2 1 | 2 2 1 1 2 2 1 2 0 | 1 2 2 1 2 0 1 2 0 1 0 1 | 1 2 0 1 0 1 0 1 0 0 | * 2 * * *
oo.x ox.o&#x ♦ 1 2 0 2 | 2 0 2 1 0 4 0 0 1 | 1 0 4 0 0 1 0 0 2 2 0 0 | 0 0 2 2 0 0 0 0 1 0 | * * 1 * *
o.ox o.xo&#x ♦ 1 0 2 2 | 0 2 2 0 0 0 1 4 1 | 0 0 0 1 4 1 0 0 0 0 2 2 | 0 0 0 0 2 2 0 0 0 1 | * * * 1 *
.oox .xxo&#x ♦ 0 2 2 2 | 0 0 0 1 2 4 1 4 1 | 0 0 0 0 0 0 1 4 2 2 2 2 | 0 0 0 0 0 0 2 2 1 1 | * * * * 1
oooxx&#x → height(1,2) = height(1,3) = height(2,3) = height(4,5) = 1
height(1,4) = height(1,5) = height(2,4) = height(2,5) = height(3,4) = height(3,5) = sqrt(3)/2 = 0.866025
o.... | 1 * * * * ♦ 1 1 2 2 0 0 0 0 0 0 0 0 | 1 2 2 2 2 1 2 1 0 0 0 0 0 0 0 0 0 | 2 2 1 2 1 1 2 1 1 0 0 0 0 0 | 1 2 1 1 1 0
.o... | * 1 * * * ♦ 1 0 0 0 1 2 2 0 0 0 0 0 | 1 2 2 0 0 0 0 0 2 2 1 2 1 0 0 0 0 | 2 2 1 2 1 0 0 0 0 1 2 1 1 0 | 1 2 1 1 0 1
..o.. | * * 1 * * ♦ 0 1 0 0 1 0 0 2 2 0 0 0 | 1 0 0 2 2 0 0 0 2 2 0 0 0 1 2 1 0 | 2 2 0 0 0 1 2 1 0 1 2 1 0 1 | 1 2 1 0 1 1
...o. | * * * 2 * | 0 0 1 0 0 1 0 1 0 1 1 0 | 0 1 0 1 0 1 1 0 1 0 1 1 0 1 1 0 1 | 1 0 1 1 0 1 1 0 1 1 1 0 1 1 | 1 1 0 1 1 1
....o | * * * * 2 | 0 0 0 1 0 0 1 0 1 0 1 1 | 0 0 1 0 1 0 1 1 0 1 0 1 1 0 1 1 1 | 0 1 0 1 1 0 1 1 1 0 1 1 1 1 | 0 1 1 1 1 1
---------+-----------+-------------------------+-----------------------------------+-----------------------------+------------
oo...&#x | 1 1 0 0 0 | 1 * * * * * * * * * * * ♦ 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 2 2 1 2 1 0 0 0 0 0 0 0 0 0 | 1 2 1 1 0 0
o.o..&#x | 1 0 1 0 0 | * 1 * * * * * * * * * * ♦ 1 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 | 2 2 0 0 0 1 2 1 0 0 0 0 0 0 | 1 2 1 0 1 0
o..o.&#x | 1 0 0 1 0 | * * 2 * * * * * * * * * | 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 | 1 0 1 1 0 1 1 0 1 0 0 0 0 0 | 1 1 0 1 1 0
o...o&#x | 1 0 0 0 1 | * * * 2 * * * * * * * * | 0 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 | 0 1 0 1 1 0 1 1 1 0 0 0 0 0 | 0 1 1 1 1 0
.oo..&#x | 0 1 1 0 0 | * * * * 1 * * * * * * * ♦ 1 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 | 2 2 0 0 0 0 0 0 0 1 2 1 0 0 | 1 2 1 0 0 1
.o.o.&#x | 0 1 0 1 0 | * * * * * 2 * * * * * * | 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 | 1 0 1 1 0 0 0 0 0 1 1 0 1 0 | 1 1 0 1 0 1
.o..o&#x | 0 1 0 0 1 | * * * * * * 2 * * * * * | 0 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 0 | 0 1 0 1 1 0 0 0 0 0 1 1 1 0 | 0 1 1 1 0 1
..oo.&#x | 0 0 1 1 0 | * * * * * * * 2 * * * * | 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 | 1 0 0 0 0 1 1 0 0 1 1 0 0 1 | 1 1 0 0 1 1
..o.o&#x | 0 0 1 0 1 | * * * * * * * * 2 * * * | 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 | 0 1 0 0 0 0 1 1 0 0 1 1 0 1 | 0 1 1 0 1 1
...x. | 0 0 0 2 0 | * * * * * * * * * 1 * * | 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 1 | 0 0 1 0 0 1 0 0 1 1 0 0 1 1 | 1 0 0 1 1 1
...oo&#x | 0 0 0 1 1 | * * * * * * * * * * 2 * | 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 1 | 0 0 0 1 0 0 1 0 1 0 1 0 1 1 | 0 1 0 1 1 1
....x | 0 0 0 0 2 | * * * * * * * * * * * 1 | 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 | 0 0 0 0 1 0 0 1 1 0 0 1 1 1 | 0 0 1 1 1 1
---------+-----------+-------------------------+-----------------------------------+-----------------------------+------------
ooo..&#x | 1 1 1 0 0 | 1 1 0 0 1 0 0 0 0 0 0 0 | 1 * * * * * * * * * * * * * * * * | 2 2 0 0 0 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0
oo.o.&#x | 1 1 0 1 0 | 1 0 1 0 0 1 0 0 0 0 0 0 | * 2 * * * * * * * * * * * * * * * | 1 0 1 1 0 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0
oo..o&#x | 1 1 0 0 1 | 1 0 0 1 0 0 1 0 0 0 0 0 | * * 2 * * * * * * * * * * * * * * | 0 1 0 1 1 0 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0
o.oo.&#x | 1 0 1 1 0 | 0 1 1 0 0 0 0 1 0 0 0 0 | * * * 2 * * * * * * * * * * * * * | 1 0 0 0 0 1 1 0 0 0 0 0 0 0 | 1 1 0 0 1 0
o.o.o&#x | 1 0 1 0 1 | 0 1 0 1 0 0 0 0 1 0 0 0 | * * * * 2 * * * * * * * * * * * * | 0 1 0 0 0 0 1 1 0 0 0 0 0 0 | 0 1 1 0 1 0
o..x.&#x | 1 0 0 2 0 | 0 0 2 0 0 0 0 0 0 1 0 0 | * * * * * 1 * * * * * * * * * * * | 0 0 1 0 0 1 0 0 1 0 0 0 0 0 | 1 0 0 1 1 0
o..oo&#x | 1 0 0 1 1 | 0 0 1 1 0 0 0 0 0 0 1 0 | * * * * * * 2 * * * * * * * * * * | 0 0 0 1 0 0 1 0 1 0 0 0 0 0 | 0 1 0 1 1 0
o...x&#x | 1 0 0 0 2 | 0 0 0 2 0 0 0 0 0 0 0 1 | * * * * * * * 1 * * * * * * * * * | 0 0 0 0 1 0 0 1 1 0 0 0 0 0 | 0 0 1 1 1 0
.ooo.&#x | 0 1 1 1 0 | 0 0 0 0 1 1 0 1 0 0 0 0 | * * * * * * * * 2 * * * * * * * * | 1 0 0 0 0 0 0 0 0 1 1 0 0 0 | 1 1 0 0 0 1
.oo.o&#x | 0 1 1 0 1 | 0 0 0 0 1 0 1 0 1 0 0 0 | * * * * * * * * * 2 * * * * * * * | 0 1 0 0 0 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
.o.x.&#x | 0 1 0 2 0 | 0 0 0 0 0 2 0 0 0 1 0 0 | * * * * * * * * * * 1 * * * * * * | 0 0 1 0 0 0 0 0 0 1 0 0 1 0 | 1 0 0 1 0 1
.o.oo&#x | 0 1 0 1 1 | 0 0 0 0 0 1 1 0 0 0 1 0 | * * * * * * * * * * * 2 * * * * * | 0 0 0 1 0 0 0 0 0 0 1 0 1 0 | 0 1 0 1 0 1
.o..x&#x | 0 1 0 0 2 | 0 0 0 0 0 0 2 0 0 0 0 1 | * * * * * * * * * * * * 1 * * * * | 0 0 0 0 1 0 0 0 0 0 0 1 1 0 | 0 0 1 1 0 1
..ox.&#x | 0 0 1 2 0 | 0 0 0 0 0 0 0 2 0 1 0 0 | * * * * * * * * * * * * * 1 * * * | 0 0 0 0 0 1 0 0 0 1 0 0 0 1 | 1 0 0 0 1 1
..ooo&#x | 0 0 1 1 1 | 0 0 0 0 0 0 0 1 1 0 1 0 | * * * * * * * * * * * * * * 2 * * | 0 0 0 0 0 0 1 0 0 0 1 0 0 1 | 0 1 0 0 1 1
..o.x&#x | 0 0 1 0 2 | 0 0 0 0 0 0 0 0 2 0 0 1 | * * * * * * * * * * * * * * * 1 * | 0 0 0 0 0 0 0 1 0 0 0 1 0 1 | 0 0 1 0 1 1
...xx&#x | 0 0 0 2 2 | 0 0 0 0 0 0 0 0 0 1 2 1 | * * * * * * * * * * * * * * * * 1 | 0 0 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 0 1 1 1
---------+-----------+-------------------------+-----------------------------------+-----------------------------+------------
oooo.&#x ♦ 1 1 1 1 0 | 1 1 1 0 1 1 0 1 0 0 0 0 | 1 1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 | 2 * * * * * * * * * * * * * | 1 1 0 0 0 0
ooo.o&#x ♦ 1 1 1 0 1 | 1 1 0 1 1 0 1 0 1 0 0 0 | 1 0 1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 | * 2 * * * * * * * * * * * * | 0 1 1 0 0 0
oo.x.&#x ♦ 1 1 0 2 0 | 1 0 2 0 0 2 0 0 0 1 0 0 | 0 2 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 | * * 1 * * * * * * * * * * * | 1 0 0 1 0 0
oo.oo&#x ♦ 1 1 0 1 1 | 1 0 1 1 0 1 1 0 0 0 1 0 | 0 1 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 | * * * 2 * * * * * * * * * * | 0 1 0 1 0 0
oo..x&#x ♦ 1 1 0 0 2 | 1 0 0 2 0 0 2 0 0 0 0 1 | 0 0 2 0 0 0 0 1 0 0 0 0 1 0 0 0 0 | * * * * 1 * * * * * * * * * | 0 0 1 1 0 0
o.ox.&#x ♦ 1 0 1 2 0 | 0 1 2 0 0 0 0 2 0 1 0 0 | 0 0 0 2 0 1 0 0 0 0 0 0 0 1 0 0 0 | * * * * * 1 * * * * * * * * | 1 0 0 0 1 0
o.ooo&#x ♦ 1 0 1 1 1 | 0 1 1 1 0 0 0 1 1 0 1 0 | 0 0 0 1 1 0 1 0 0 0 0 0 0 0 1 0 0 | * * * * * * 2 * * * * * * * | 0 1 0 0 1 0
o.o.x&#x ♦ 1 0 1 0 2 | 0 1 0 2 0 0 0 0 2 0 0 1 | 0 0 0 0 2 0 0 1 0 0 0 0 0 0 0 1 0 | * * * * * * * 1 * * * * * * | 0 0 1 0 1 0
o..xx&#x ♦ 1 0 0 2 2 | 0 0 2 2 0 0 0 0 0 1 2 1 | 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 1 | * * * * * * * * 1 * * * * * | 0 0 0 1 1 0
.oox.&#x ♦ 0 1 1 2 0 | 0 0 0 0 1 2 0 2 0 1 0 0 | 0 0 0 0 0 0 0 0 2 0 1 0 0 1 0 0 0 | * * * * * * * * * 1 * * * * | 1 0 0 0 0 1
.oooo&#x ♦ 0 1 1 1 1 | 0 0 0 0 1 1 1 1 1 0 1 0 | 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 | * * * * * * * * * * 2 * * * | 0 1 0 0 0 1
.oo.x&#x ♦ 0 1 1 0 2 | 0 0 0 0 1 0 2 0 2 0 0 1 | 0 0 0 0 0 0 0 0 0 2 0 0 1 0 0 1 0 | * * * * * * * * * * * 1 * * | 0 0 1 0 0 1
.o.xx&#x ♦ 0 1 0 2 2 | 0 0 0 0 0 2 2 0 0 1 2 1 | 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 1 | * * * * * * * * * * * * 1 * | 0 0 0 1 0 1
..oxx&#x ♦ 0 0 1 2 2 | 0 0 0 0 0 0 0 2 2 1 2 1 | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 | * * * * * * * * * * * * * 1 | 0 0 0 0 1 1
---------+-----------+-------------------------+-----------------------------------+-----------------------------+------------
ooox.&#x ♦ 1 1 1 2 0 | 1 1 2 0 1 2 0 2 0 1 0 0 | 1 2 0 2 0 1 0 0 2 0 1 0 0 1 0 0 0 | 2 0 1 0 0 1 0 0 0 1 0 0 0 0 | 1 * * * * *
ooooo&#x ♦ 1 1 1 1 1 | 1 1 1 1 1 1 1 1 1 0 1 0 | 1 1 1 1 1 0 1 0 1 1 0 1 0 0 1 0 0 | 1 1 0 1 0 0 1 0 0 0 1 0 0 0 | * 2 * * * *
ooo.x&#x ♦ 1 1 1 0 2 | 1 1 0 2 1 0 2 0 2 0 0 1 | 1 0 2 0 2 0 0 1 0 2 0 0 1 0 0 1 0 | 0 2 0 0 1 0 0 1 0 0 0 1 0 0 | * * 1 * * *
oo.xx&#x ♦ 1 1 0 2 2 | 1 0 2 2 0 2 2 0 0 1 2 1 | 0 2 2 0 0 1 2 1 0 0 1 2 1 0 0 0 1 | 0 0 1 2 1 0 0 0 1 0 0 0 1 0 | * * * 1 * *
o.oxx&#x ♦ 1 0 1 2 2 | 0 1 2 2 0 0 0 2 2 1 2 1 | 0 0 0 2 2 1 2 1 0 0 0 0 0 1 2 1 1 | 0 0 0 0 0 1 2 1 1 0 0 0 0 1 | * * * * 1 *
.ooxx&#x ♦ 0 1 1 2 2 | 0 0 0 0 1 2 2 2 2 1 2 1 | 0 0 0 0 0 0 0 0 2 2 1 2 1 1 2 1 1 | 0 0 0 0 0 0 0 0 0 1 2 1 1 1 | * * * * * 1
pt || squasc → height = 1/sqrt(2) = 0.707107
o...4o... | 1 * * * ♦ 1 1 4 0 0 0 0 | 1 4 4 4 0 0 0 0 | 4 4 4 1 0 0 0 | 4 1 1 0
.o..4.o.. | * 1 * * ♦ 1 0 0 1 4 0 0 | 1 4 0 0 4 4 0 0 | 4 4 0 0 4 1 0 | 4 1 0 1
..o.4..o. | * * 1 * ♦ 0 1 0 1 0 4 0 | 1 0 4 0 4 0 4 0 | 4 0 4 0 4 0 1 | 4 0 1 1
...o4...o | * * * 4 | 0 0 1 0 1 1 2 | 0 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 | 2 1 1 1
-------------+---------+---------------+-----------------+---------------+--------
oo..4oo..&#x | 1 1 0 0 | 1 * * * * * * ♦ 1 4 0 0 0 0 0 0 | 4 4 0 0 0 0 0 | 4 1 0 0
o.o.4o.o.&#x | 1 0 1 0 | * 1 * * * * * ♦ 1 0 4 0 0 0 0 0 | 4 0 4 0 0 0 0 | 4 0 1 0
o..o4o..o&#x | 1 0 0 1 | * * 4 * * * * | 0 1 1 2 0 0 0 0 | 1 2 2 1 0 0 0 | 2 1 1 0
.oo.4.oo.&#x | 0 1 1 0 | * * * 1 * * * ♦ 1 0 0 0 4 0 0 0 | 4 0 0 0 4 0 0 | 4 0 0 1
.o.o4.o.o&#x | 0 1 0 1 | * * * * 4 * * | 0 1 0 0 1 2 0 0 | 1 2 0 0 2 1 0 | 2 1 0 1
..oo4..oo&#x | 0 0 1 1 | * * * * * 4 * | 0 0 1 0 1 0 2 0 | 1 0 2 0 2 0 1 | 2 0 1 1
...x .... | 0 0 0 2 | * * * * * * 4 | 0 0 0 1 0 1 1 1 | 0 1 1 1 1 1 1 | 1 1 1 1
-------------+---------+---------------+-----------------+---------------+--------
ooo.4ooo.&#x | 1 1 1 0 | 1 1 0 1 0 0 0 | 1 * * * * * * * | 4 0 0 0 0 0 0 | 4 0 0 0
oo.o4oo.o&#x | 1 1 0 1 | 1 0 1 0 1 0 0 | * 4 * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0
o.oo4o.oo&#x | 1 0 1 1 | 0 1 1 0 0 1 0 | * * 4 * * * * * | 1 0 2 0 0 0 0 | 2 0 1 0
o..x ....&#x | 1 0 0 2 | 0 0 2 0 0 0 1 | * * * 4 * * * * | 0 1 1 1 0 0 0 | 1 1 1 0
.ooo4.ooo&#x | 0 1 1 1 | 0 0 0 1 1 1 0 | * * * * 4 * * * | 1 0 0 0 2 0 0 | 2 0 0 1
.o.x ....&#x | 0 1 0 2 | 0 0 0 0 2 0 1 | * * * * * 4 * * | 0 1 0 0 1 1 0 | 1 1 0 1
..ox ....&#x | 0 0 1 2 | 0 0 0 0 0 2 1 | * * * * * * 4 * | 0 0 1 0 1 0 1 | 1 0 1 1
...x4...o | 0 0 0 4 | 0 0 0 0 0 0 4 | * * * * * * * 1 | 0 0 0 1 0 1 1 | 0 1 1 1
-------------+---------+---------------+-----------------+---------------+--------
oooo4oooo&#x ♦ 1 1 1 1 | 1 1 1 1 1 1 0 | 1 1 1 0 1 0 0 0 | 4 * * * * * * | 2 0 0 0
oo.x ....&#x ♦ 1 1 0 2 | 1 0 2 0 2 0 1 | 0 2 0 1 0 1 0 0 | * 4 * * * * * | 1 1 0 0
o.ox ....&#x ♦ 1 0 1 2 | 0 1 2 0 0 2 1 | 0 0 2 1 0 0 1 0 | * * 4 * * * * | 1 0 1 0
o..x4o..o&#x ♦ 1 0 0 4 | 0 0 4 0 0 0 4 | 0 0 0 4 0 0 0 1 | * * * 1 * * * | 0 1 1 0
.oox ....&#x ♦ 0 1 1 2 | 0 0 0 1 2 2 1 | 0 0 0 0 2 1 1 0 | * * * * 4 * * | 1 0 0 1
.o.x4.o.o&#x ♦ 0 1 0 4 | 0 0 0 0 4 0 4 | 0 0 0 0 0 4 0 1 | * * * * * 1 * | 0 1 0 1
..ox4..oo&#x ♦ 0 0 1 4 | 0 0 0 0 0 4 4 | 0 0 0 0 0 0 4 1 | * * * * * * 1 | 0 0 1 1
-------------+---------+---------------+-----------------+---------------+--------
ooox ....&#x ♦ 1 1 1 2 | 1 1 2 1 2 2 1 | 1 2 2 1 2 1 1 0 | 2 1 1 0 1 0 0 | 4 * * *
oo.x4oo.o&#x ♦ 1 1 0 4 | 1 0 4 0 4 0 4 | 0 4 0 4 0 4 0 1 | 0 4 0 1 0 1 0 | * 1 * *
o.ox4o.oo&#x ♦ 1 0 1 4 | 0 1 4 0 0 4 4 | 0 0 4 4 0 0 4 1 | 0 0 4 1 0 0 1 | * * 1 *
.oox4.ooo&#x ♦ 0 1 1 4 | 0 0 0 1 4 4 4 | 0 0 0 0 4 4 4 1 | 0 0 0 0 4 1 1 | * * * 1
pyramid product of line with squippy → height = 1/2 o...4o... & | 2 * * ♦ 1 1 4 0 0 | 1 4 4 4 0 0 | 4 4 4 1 0 | 4 1 1 ..o.4..o. | * 1 * ♦ 0 2 0 4 0 | 1 0 8 0 4 0 | 4 0 8 0 1 | 4 0 2 ...o4...o | * * 4 | 0 0 2 1 2 | 0 1 2 4 2 1 | 1 2 4 2 1 | 2 1 2 ---------------+-------+-----------+-------------+-----------+------ oo..4oo..&#x | 2 0 0 | 1 * * * * ♦ 1 4 0 0 0 0 | 4 4 0 0 0 | 4 1 0 o.o.4o.o.&#x & | 1 1 0 | * 2 * * * ♦ 1 0 4 0 0 0 | 4 0 4 0 0 | 4 0 1 o..o4o..o&#x & | 1 0 1 | * * 8 * * | 0 1 1 2 0 0 | 1 2 2 1 0 | 1 2 1 ..oo4..oo&#x | 0 1 1 | * * * 4 * | 0 0 2 0 2 0 | 1 0 4 0 1 | 2 0 2 ...x .... | 0 0 2 | * * * * 4 | 0 0 0 2 1 1 | 0 1 2 2 1 | 1 1 2 ---------------+-------+-----------+-------------+-----------+------ ooo.4ooo.&#x | 2 1 0 | 1 2 0 0 0 | 1 * * * * * | 4 0 0 0 0 | 4 0 0 oo.o4oo.o&#x | 2 0 1 | 1 0 2 0 0 | * 4 * * * * | 1 2 0 0 0 | 2 1 0 o.oo4o.oo&#x & | 1 1 1 | 0 1 1 1 0 | * * 8 * * * | 1 0 2 0 0 | 2 0 1 o..x ....&#x & | 1 0 2 | 0 0 2 0 1 | * * * 8 * * | 0 1 1 1 0 | 1 1 1 ..ox ....&#x | 0 1 2 | 0 0 0 2 1 | * * * * 4 * | 0 0 2 0 1 | 1 0 2 ...x4...o | 0 0 4 | 0 0 0 0 4 | * * * * * 1 | 0 0 0 2 1 | 0 1 2 ---------------+-------+-----------+-------------+-----------+------ oooo4oooo&#x ♦ 2 1 1 | 1 2 2 1 0 | 1 1 2 0 0 0 | 4 * * * * | 2 0 0 oo.x ....&#x ♦ 2 0 2 | 1 0 4 0 1 | 0 2 0 2 0 0 | * 4 * * * | 1 1 0 o.ox ....&#x & ♦ 1 1 2 | 0 1 2 2 1 | 0 0 2 1 1 0 | * * 8 * * | 1 0 1 o..x4o..o&#x & ♦ 1 0 4 | 0 0 4 0 4 | 0 0 0 4 0 1 | * * * 2 * | 0 1 1 ..ox4..oo&#x ♦ 0 1 4 | 0 0 0 4 4 | 0 0 0 0 4 1 | * * * * 1 | 0 0 2 ---------------+-------+-----------+-------------+-----------+------ ooox ....&#x ♦ 2 1 2 | 1 2 4 2 1 | 1 2 4 2 1 0 | 2 1 2 0 0 | 4 * * oo.x4oo.o&#x ♦ 2 0 4 | 1 0 8 0 4 | 0 4 0 8 0 1 | 0 4 0 2 0 | * 1 * o.ox4o.oo&#x & ♦ 1 1 4 | 0 1 4 4 4 | 0 0 4 4 4 1 | 0 0 4 1 1 | * * 2
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