pentacross (β5),
aeroteron,
pentachoral antiprism
©
- general polytopal classes:
- orthoplex
links
| Acronym | tac |
| Name |
triacontiditeron, pentacross (β5), aeroteron, pentachoral antiprism |
| Circumradius | 1/sqrt(2) = 0.707107 |
| Inradius | 1/sqrt(10) = 0.316228 |
| Vertex figure |
|
| Coordinates | (1/sqrt(2), 0, 0, 0, 0) & all permutations, all changes of sign |
| Dual | pent |
| Confer |
|
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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
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.ox ♦ 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
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
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
xox oxo3ooo4ooo&#xt → both heights = 1/2 (line || ortho 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 || ortho 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} || ortho 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} || ortho 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
oxoo3oooo3ooox&#xr → all heights = sqrt(5/8) = 0.790569 (pt || (tet || inv 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 ---------------------+-----+-----------+---------------+-----------------+----------- oo..3oo..3oo..&#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 ---------------------+-----+-----------+---------------+-----------------+----------- ox.. .... ....&#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 ooo.3ooo.3ooo.&#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 ---------------------+-----+-----------+---------------+-----------------+----------- ox..3oo.. ....&#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 oxo. .... ....&#x & ♦ 1 3 | 2 1 1 2 | 1 0 2 0 1 | * * 24 * * * * | 0 0 1 1 0 .... .... oox.&#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 ---------------------+-----+-----------+---------------+-----------------+----------- ox..3oo..3oo..&#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 * * * oxo.3ooo. ....&#x & ♦ 1 4 | 3 1 3 3 | 3 0 3 1 3 | 1 0 3 0 0 1 0 | * * 8 * * oxo. .... oox.&#x & ♦ 1 4 | 2 2 2 4 | 1 1 4 0 4 | 0 0 2 2 0 0 1 | * * * 12 * .... ooo.3oox.&#x & ♦ 1 4 | 1 3 3 3 | 0 3 3 1 3 | 0 1 0 3 0 1 0 | * * * * 8
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