Acronym | hexipaico |
Name |
hexip atop ico, diminished 1/4-lune of rag |
Circumradius | 1 |
Lace city in approx. ASCII-art |
I where: I = o3x3o4o (ico) h h h = x3o3o4o (hex) |
Face vector | 40, 248, 472, 400, 163, 27 |
Confer |
|
Incidence matrix according to Dynkin symbol
ox3xo3oo4oo ox&#x → height = 1/2
(ico || hexip)
o.3o.3o.4o. o. | 24 * | 8 4 0 0 | 4 8 2 16 2 0 0 | 4 2 8 1 16 8 0 0 | 1 8 4 4 8 0 0 | 2 4 2 0
.o3.o3.o4.o .o | * 16 | 0 6 6 1 | 0 0 6 12 6 12 6 | 0 0 12 6 8 12 8 12 | 0 8 12 1 8 1 8 | 1 8 2 1
------------------+-------+------------+-----------------------+-------------------------+--------------------+---------
.. x. .. .. .. | 2 0 | 96 * * * | 1 2 0 2 0 0 0 | 2 1 2 0 4 1 0 0 | 1 4 1 2 2 0 0 | 2 2 1 0
oo3oo3oo4oo oo&#x | 1 1 | * 96 * * | 0 0 1 4 1 0 0 | 0 0 4 1 4 4 0 0 | 0 4 4 1 4 0 0 | 1 4 1 0
.x .. .. .. .. | 0 2 | * * 48 * | 0 0 1 0 0 4 1 | 0 0 4 1 0 0 4 4 | 0 4 4 0 0 1 4 | 1 4 0 1
.. .. .. .. .x | 0 2 | * * * 8 | 0 0 0 0 6 0 6 | 0 0 0 6 0 12 0 12 | 0 0 12 0 8 0 8 | 0 8 1 1
------------------+-------+------------+-----------------------+-------------------------+--------------------+---------
o.3x. .. .. .. | 3 0 | 3 0 0 0 | 32 * * * * * * | 2 0 2 0 0 0 0 0 | 1 4 1 0 0 0 0 | 2 2 0 0
.. x.3o. .. .. | 3 0 | 3 0 0 0 | * 64 * * * * * | 1 1 0 0 2 0 0 0 | 1 2 0 2 1 0 0 | 2 1 1 0
ox .. .. .. ..&#x | 1 2 | 0 2 1 0 | * * 48 * * * * | 0 0 4 1 0 0 0 0 | 0 4 4 0 0 0 0 | 1 4 0 0
.. xo .. .. ..&#x | 2 1 | 1 2 0 0 | * * * 192 * * * | 0 0 1 0 2 1 0 0 | 0 2 1 1 2 0 0 | 1 2 1 0
.. .. .. .. ox&#x | 1 2 | 0 2 0 1 | * * * * 48 * * | 0 0 0 1 0 4 0 0 | 0 0 4 0 4 0 0 | 0 4 1 0
.x3.o .. .. .. | 0 3 | 0 0 3 0 | * * * * * 64 * | 0 0 1 0 0 0 2 1 | 0 2 1 0 0 1 2 | 1 2 0 1
.x .. .. .. .x | 0 4 | 0 0 2 2 | * * * * * * 24 | 0 0 0 1 0 0 0 4 | 0 0 4 0 0 0 4 | 0 4 0 1
------------------+-------+------------+-----------------------+-------------------------+--------------------+---------
o.3x.3o. .. .. ♦ 6 0 | 12 0 0 0 | 4 4 0 0 0 0 0 | 16 * * * * * * * | 1 2 0 0 0 0 0 | 2 1 0 0
.. x.3o.4o. .. ♦ 6 0 | 12 0 0 0 | 0 8 0 0 0 0 0 | * 8 * * * * * * | 1 0 0 2 0 0 0 | 2 0 1 0
ox3xo .. .. ..&#x ♦ 3 3 | 3 6 3 0 | 1 0 3 3 0 1 0 | * * 64 * * * * * | 0 2 1 0 0 0 0 | 1 2 0 0
ox .. .. .. ox&#x ♦ 1 4 | 0 4 2 2 | 0 0 2 0 2 0 1 | * * * 24 * * * * | 0 0 4 0 0 0 0 | 0 4 0 0
.. xo3oo .. ..&#x ♦ 3 1 | 3 3 0 0 | 0 1 0 3 0 0 0 | * * * * 128 * * * | 0 1 0 1 1 0 0 | 1 1 1 0
.. xo .. .. ox&#x ♦ 2 2 | 1 4 0 1 | 0 0 0 2 2 0 0 | * * * * * 96 * * | 0 0 1 0 2 0 0 | 0 2 1 0
.x3.o3.o .. .. ♦ 0 4 | 0 0 6 0 | 0 0 0 0 0 4 0 | * * * * * * 32 * | 0 1 0 0 0 1 1 | 1 1 0 1
.x3.o .. .. .x ♦ 0 6 | 0 0 6 3 | 0 0 0 0 0 2 3 | * * * * * * * 32 | 0 0 1 0 0 0 2 | 0 2 0 1
------------------+-------+------------+-----------------------+-------------------------+--------------------+---------
o.3x.3o.4o. .. ♦ 24 0 | 96 0 0 0 | 32 64 0 0 0 0 0 | 16 8 0 0 0 0 0 0 | 1 * * * * * * | 2 0 0 0
ox3xo3oo .. ..&#x ♦ 6 4 | 12 12 6 0 | 4 4 6 12 0 4 0 | 1 0 4 0 4 0 1 0 | * 32 * * * * * | 1 1 0 0
ox3xo .. .. ox&#x ♦ 3 6 | 3 12 6 3 | 1 0 6 6 6 2 3 | 0 0 2 3 0 3 0 1 | * * 32 * * * * | 0 2 0 0
.. xo3oo4oo ..&#x ♦ 6 1 | 12 6 0 0 | 0 8 0 12 0 0 0 | 0 1 0 0 8 0 0 0 | * * * 16 * * * | 1 0 1 0
.. xo3oo .. ox&#x ♦ 3 2 | 3 6 0 1 | 0 1 0 6 3 0 0 | 0 0 0 0 2 3 0 0 | * * * * 64 * * | 0 1 1 0
.x3.o3.o4.o .. ♦ 0 8 | 0 0 24 0 | 0 0 0 0 0 32 0 | 0 0 0 0 0 0 16 0 | * * * * * 2 * | 1 0 0 1
.x3.o3.o .. .x ♦ 0 8 | 0 0 12 4 | 0 0 0 0 0 8 6 | 0 0 0 0 0 0 2 4 | * * * * * * 16 | 0 1 0 1
------------------+-------+------------+-----------------------+-------------------------+--------------------+---------
ox3xo3oo4oo ..&#x ♦ 24 8 | 96 48 24 0 | 32 64 24 96 0 32 0 | 16 8 32 0 64 0 16 0 | 1 16 0 8 0 1 0 | 2 * * *
ox3xo3oo .. ox&#x ♦ 6 8 | 12 24 12 4 | 4 4 12 24 12 8 6 | 1 0 8 6 8 12 2 4 | 0 2 4 0 4 0 1 | * 16 * *
.. xo3oo4oo ox&#x ♦ 6 2 | 12 12 0 1 | 0 8 0 24 6 0 0 | 0 1 0 0 16 12 0 0 | 0 0 0 2 8 0 0 | * * 8 *
.x3.o3.o4.o .x ♦ 0 16 | 0 0 48 8 | 0 0 0 0 0 64 24 | 0 0 0 0 0 0 32 32 | 0 0 0 0 0 2 16 | * * * 1
xox3oxo3ooo4ooo&#x → height(1,2) = height(2,3) = 1/sqrt(2) = 0.707107 height(1,3) = 1 o..3o..3o..4o.. & | 16 * | 6 6 1 0 | 12 6 12 6 6 0 0 | 8 12 8 12 6 12 0 0 | 1 8 1 8 12 8 0 | 1 1 8 1 .o.3.o.3.o.4.o. | * 24 | 0 4 0 8 | 0 2 16 0 2 4 8 | 0 8 16 0 1 8 4 2 | 0 8 4 0 4 8 1 | 2 0 4 2 ---------------------+-------+------------+-----------------------+-------------------------+--------------------+--------- x.. ... ... ... & | 2 0 | 48 * * * | 4 1 0 0 0 0 0 | 4 4 0 4 1 0 0 0 | 1 4 0 4 4 0 0 | 1 1 4 0 oo.3oo.3oo.4oo.&#x & | 1 1 | * 96 * * | 0 1 4 0 1 0 0 | 0 4 4 0 1 4 0 0 | 0 4 1 0 4 4 0 | 1 0 4 1 o.o3o.o3o.o4o.o&#x | 2 0 | * * 8 * | 0 0 0 6 6 0 0 | 0 0 0 12 6 12 0 0 | 0 0 0 8 12 8 0 | 0 1 8 1 ... .x. ... ... | 0 2 | * * * 96 | 0 0 2 0 0 1 2 | 0 2 4 0 0 1 2 1 | 0 4 2 0 1 2 1 | 2 0 2 1 ---------------------+-------+------------+-----------------------+-------------------------+--------------------+--------- x..3o.. ... ... & | 3 0 | 3 0 0 0 | 64 * * * * * * | 2 1 0 1 0 0 0 0 | 1 2 0 2 1 0 0 | 1 1 2 0 xo. ... ... ...&#x & | 2 1 | 1 2 0 0 | * 48 * * * * * | 0 4 0 0 1 0 0 0 | 0 4 0 0 4 0 0 | 1 0 4 0 ... ox. ... ...&#x & | 1 2 | 0 2 0 1 | * * 192 * * * * | 0 1 2 0 0 1 0 0 | 0 2 1 0 1 2 0 | 1 0 2 1 x.x ... ... ...&#x | 4 0 | 2 0 2 0 | * * * 24 * * * | 0 0 0 4 1 0 0 0 | 0 0 0 4 4 0 0 | 0 1 4 0 ooo3ooo3ooo4ooo&#x | 2 1 | 0 2 1 0 | * * * * 48 * * | 0 0 0 0 1 4 0 0 | 0 0 0 0 4 4 0 | 0 0 4 1 .o.3.x. ... ... | 0 3 | 0 0 0 3 | * * * * * 32 * | 0 2 0 0 0 0 2 0 | 0 4 0 0 1 0 1 | 2 0 2 0 ... .x.3.o. ... | 0 3 | 0 0 0 3 | * * * * * * 64 | 0 0 2 0 0 0 1 1 | 0 2 2 0 0 1 1 | 2 0 1 1 ---------------------+-------+------------+-----------------------+-------------------------+--------------------+--------- x..3o..3o.. ... & ♦ 4 0 | 6 0 0 0 | 4 0 0 0 0 0 0 | 32 * * * * * * * | 1 1 0 1 0 0 0 | 1 1 1 0 xo.3ox. ... ...&#x & ♦ 3 3 | 3 6 0 3 | 1 3 3 0 0 1 0 | * 64 * * * * * * | 0 2 0 0 1 0 0 | 1 0 2 0 ... ox.3oo. ...&#x & ♦ 1 3 | 0 3 0 3 | 0 0 3 0 0 0 1 | * * 128 * * * * * | 0 1 1 0 0 1 0 | 1 0 1 1 x.x3o.o ... ...&#x ♦ 6 0 | 6 0 3 0 | 2 0 0 3 0 0 0 | * * * 32 * * * * | 0 0 0 2 1 0 0 | 0 1 2 0 xox ... ... ...&#x ♦ 4 1 | 2 4 2 0 | 0 2 0 1 2 0 0 | * * * * 24 * * * | 0 0 0 0 4 0 0 | 0 0 4 0 ... oxo ... ...&#x ♦ 2 2 | 0 4 1 1 | 0 0 2 0 2 0 0 | * * * * * 96 * * | 0 0 0 0 1 2 0 | 0 0 2 1 .o.3.x.3.o. ... ♦ 0 6 | 0 0 0 12 | 0 0 0 0 0 4 4 | * * * * * * 16 * | 0 2 0 0 0 0 1 | 2 0 1 0 ... .x.3.o.4.o. ♦ 0 6 | 0 0 0 12 | 0 0 0 0 0 0 8 | * * * * * * * 8 | 0 0 2 0 0 0 1 | 2 0 0 1 ---------------------+-------+------------+-----------------------+-------------------------+--------------------+--------- x..3o..3o..4o.. & ♦ 8 0 | 24 0 0 0 | 32 0 0 0 0 0 0 | 16 0 0 0 0 0 0 0 | 2 * * * * * * | 1 1 0 0 xo.3ox.3oo. ...&#x & ♦ 4 6 | 6 12 0 12 | 4 6 12 0 0 4 4 | 1 4 4 0 0 0 1 0 | * 32 * * * * * | 1 0 1 0 ... ox.3oo.4oo.&#x & ♦ 1 6 | 0 6 0 12 | 0 0 12 0 0 0 8 | 0 0 8 0 0 0 0 1 | * * 16 * * * * | 1 0 0 1 x.x3o.o3o.o ...&#x ♦ 8 0 | 12 0 4 0 | 8 0 0 6 0 0 0 | 2 0 0 4 0 0 0 0 | * * * 16 * * * | 0 1 1 0 xox3oxo ... ...&#x ♦ 6 3 | 6 12 3 3 | 2 6 6 3 6 1 0 | 0 2 0 1 3 3 0 0 | * * * * 32 * * | 0 0 2 0 ... oxo3ooo ...&#x ♦ 2 3 | 0 6 1 3 | 0 0 6 0 3 0 1 | 0 0 2 0 0 3 0 0 | * * * * * 64 * | 0 0 1 1 .o.3.x.3.o.4.o. ♦ 0 24 | 0 0 0 96 | 0 0 0 0 0 32 64 | 0 0 0 0 0 0 16 8 | * * * * * * 1 | 2 0 0 0 ---------------------+-------+------------+-----------------------+-------------------------+--------------------+--------- xo.3ox.3oo.4oo.&#x & ♦ 8 24 | 24 48 0 96 | 32 24 96 0 0 32 64 | 16 32 64 0 0 0 16 8 | 1 16 8 0 0 0 1 | 2 * * * x.x3o.o3o.o4o.o&#x ♦ 16 0 | 48 0 8 0 | 64 0 0 24 0 0 0 | 32 0 0 32 0 0 0 0 | 2 0 0 16 0 0 0 | * 1 * * xox3oxo3ooo ...&#x ♦ 8 6 | 12 24 4 12 | 8 12 24 6 12 4 4 | 2 8 8 4 6 12 1 0 | 0 2 0 1 4 4 0 | * * 16 * ... oxo3ooo4ooo&#x ♦ 2 6 | 0 12 1 12 | 0 0 24 0 6 0 8 | 0 0 16 0 0 12 0 1 | 0 0 2 0 0 8 0 | * * * 8
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