Acronym | thexarico |
Name |
thex atop rico, ico-first subsegment of sart |
Circumradius | sqrt(3) = 1.732051 |
Lace city in approx. ASCII-art |
x3o4o u3o4o x3x4o u3o4o x3o4o -- x3x3o4o (thex) o3x4o x3x4o x3o4q x3x4o o3x4o -- x3o3x4o (rico) |
o3x3o o3u3o x3x3x o3u3o o3x3o -- x3x3o4o (thex) x3o3x x3x3x uo3xx3ou x3x3x x3o3x -- x3o3x4o (rico) | |
Face vector | 144, 600, 720, 312, 50 |
Confer |
|
Incidence matrix according to Dynkin symbol
xx3xo3ox4oo&#x → height = 1/sqrt(2) = 0.707107
(thex || rico)
o.3o.3o.4o. | 48 * | 1 4 4 0 0 | 4 4 4 4 4 0 0 0 0 | 4 1 4 4 4 1 0 0 0 | 1 4 1 1 0
.o3.o3.o4.o | * 96 | 0 0 2 2 4 | 0 0 2 1 4 1 4 2 2 | 0 0 1 4 2 2 2 2 2 | 0 2 2 1 1
---------------+-------+------------------+-----------------------------+--------------------------+------------
x. .. .. .. | 2 0 | 24 * * * * | 4 0 4 0 0 0 0 0 0 | 4 0 4 4 0 0 0 0 0 | 1 4 1 0 0
.. x. .. .. | 2 0 | * 96 * * * | 1 2 0 1 0 0 0 0 0 | 2 1 1 0 2 0 0 0 0 | 1 2 0 1 0
oo3oo3oo4oo&#x | 1 1 | * * 192 * * | 0 0 1 1 2 0 0 0 0 | 0 0 1 2 2 1 0 0 0 | 0 2 1 1 0
.x .. .. .. | 0 2 | * * * 96 * | 0 0 1 0 0 1 2 0 0 | 0 0 1 2 0 0 2 1 0 | 0 2 1 0 1
.. .. .x .. | 0 2 | * * * * 192 | 0 0 0 0 1 0 1 1 1 | 0 0 0 1 1 1 1 1 1 | 0 1 1 1 1
---------------+-------+------------------+-----------------------------+--------------------------+------------
x.3x. .. .. | 6 0 | 3 3 0 0 0 | 32 * * * * * * * * | 2 0 1 0 0 0 0 0 0 | 1 2 0 0 0
.. x.3o. .. | 3 0 | 0 3 0 0 0 | * 64 * * * * * * * | 1 1 0 0 1 0 0 0 0 | 1 1 0 1 0
xx .. .. ..&#x | 2 2 | 1 0 2 1 0 | * * 96 * * * * * * | 0 0 1 2 0 0 0 0 0 | 0 2 1 0 0
.. xo .. ..&#x | 2 1 | 0 1 2 0 0 | * * * 96 * * * * * | 0 0 1 0 2 0 0 0 0 | 0 2 0 1 0
.. .. ox ..&#x | 1 2 | 0 0 2 0 1 | * * * * 192 * * * * | 0 0 0 1 1 1 0 0 0 | 0 1 1 1 0
.x3.o .. .. | 0 3 | 0 0 0 3 0 | * * * * * 32 * * * | 0 0 1 0 0 0 2 0 0 | 0 2 0 0 1
.x .. .x .. | 0 4 | 0 0 0 2 2 | * * * * * * 96 * * | 0 0 0 1 0 0 1 1 0 | 0 1 1 0 1
.. .o3.x .. | 0 3 | 0 0 0 0 3 | * * * * * * * 64 * | 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1
.. .. .x4.o | 0 4 | 0 0 0 0 4 | * * * * * * * * 48 | 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1
---------------+-------+------------------+-----------------------------+--------------------------+------------
x.3x.3o. .. ♦ 12 0 | 6 12 0 0 0 | 4 4 0 0 0 0 0 0 0 | 16 * * * * * * * * | 1 1 0 0 0
.. x.3o.4o. ♦ 6 0 | 0 12 0 0 0 | 0 8 0 0 0 0 0 0 0 | * 8 * * * * * * * | 1 0 0 1 0
xx3xo .. ..&#x ♦ 6 3 | 3 3 6 3 0 | 1 0 3 3 0 1 0 0 0 | * * 32 * * * * * * | 0 2 0 0 0
xx .. ox ..&#x ♦ 2 4 | 1 0 4 2 2 | 0 0 2 0 2 0 1 0 0 | * * * 96 * * * * * | 0 1 1 0 0
.. xo3ox ..&#x ♦ 3 3 | 0 3 6 0 3 | 0 1 0 3 3 0 0 1 0 | * * * * 64 * * * * | 0 1 0 1 0
.. .. ox4oo&#x ♦ 1 4 | 0 0 4 0 4 | 0 0 0 0 4 0 0 0 1 | * * * * * 48 * * * | 0 0 1 1 0
.x3.o3.x .. ♦ 0 12 | 0 0 0 12 12 | 0 0 0 0 0 4 6 4 0 | * * * * * * 16 * * | 0 1 0 0 1
.x .. .x4.o ♦ 0 8 | 0 0 0 4 8 | 0 0 0 0 0 0 4 0 2 | * * * * * * * 24 * | 0 0 1 0 1
.. .o3.x4.o ♦ 0 12 | 0 0 0 0 24 | 0 0 0 0 0 0 0 8 6 | * * * * * * * * 8 | 0 0 0 1 1
---------------+-------+------------------+-----------------------------+--------------------------+------------
x.3x.3o.4o. ♦ 48 0 | 24 96 0 0 0 | 32 64 0 0 0 0 0 0 0 | 16 8 0 0 0 0 0 0 0 | 1 * * * *
xx3xo3ox ..&#x ♦ 12 12 | 6 12 24 12 12 | 4 4 12 12 12 4 6 4 0 | 1 0 4 6 4 0 1 0 0 | * 16 * * *
xx .. ox4oo&#x ♦ 2 8 | 1 0 8 4 8 | 0 0 4 0 8 0 4 0 2 | 0 0 0 4 0 2 0 1 0 | * * 24 * *
.. xo3ox4oo&#x ♦ 6 12 | 0 12 24 0 24 | 0 8 0 12 24 0 0 8 6 | 0 1 0 0 8 6 0 0 1 | * * * 8 *
.x3.o3.x4.o ♦ 0 96 | 0 0 0 96 192 | 0 0 0 0 0 32 96 64 48 | 0 0 0 0 0 0 16 24 8 | * * * * 1
ox3xo3ox *b3xx&#x → height = 1/sqrt(2) = 0.707107
(thex || rico)
o.3o.3o. *b3o. | 48 * | 4 1 4 0 0 0 | 2 2 4 2 4 2 4 0 0 0 0 0 0 | 1 2 2 2 1 2 2 4 2 0 0 0 0 | 1 1 2 1 2 0
.o3.o3.o *b3.o | * 96 | 0 0 4 2 2 2 | 0 0 0 4 2 4 4 1 2 2 1 1 2 | 0 0 0 2 2 4 2 2 4 1 1 1 1 | 0 1 2 2 2 1
------------------+-------+--------------------+----------------------------------------+----------------------------------+-------------
.. x. .. .. | 2 0 | 96 * * * * * | 1 1 1 0 1 0 0 0 0 0 0 0 0 | 1 1 1 1 0 0 1 1 0 0 0 0 0 | 1 1 1 0 1 0
.. .. .. x. | 2 0 | * 24 * * * * | 0 0 4 0 0 0 4 0 0 0 0 0 0 | 0 2 2 0 0 2 0 4 2 0 0 0 0 | 1 0 2 1 2 0
oo3oo3oo *b3oo&#x | 1 1 | * * 192 * * * | 0 0 0 1 1 1 1 0 0 0 0 0 0 | 0 0 0 1 1 1 1 1 1 0 0 0 0 | 0 1 1 1 1 0
.x .. .. .. | 0 2 | * * * 96 * * | 0 0 0 1 0 0 0 1 1 1 0 0 0 | 0 0 0 1 1 1 0 0 0 1 1 1 0 | 0 1 1 1 0 1
.. .. .x .. | 0 2 | * * * * 96 * | 0 0 0 0 0 1 0 0 1 0 1 0 1 | 0 0 0 0 1 0 1 0 1 1 0 1 1 | 0 1 0 1 1 1
.. .. .. .x | 0 2 | * * * * * 96 | 0 0 0 0 0 0 1 0 0 1 0 1 1 | 0 0 0 0 0 1 0 1 1 0 1 1 1 | 0 0 1 1 1 1
------------------+-------+--------------------+----------------------------------------+----------------------------------+-------------
o.3x. .. .. | 3 0 | 3 0 0 0 0 0 | 32 * * * * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
.. x.3o. .. | 3 0 | 3 0 0 0 0 0 | * 32 * * * * * * * * * * * | 1 0 1 0 0 0 1 0 0 0 0 0 0 | 1 1 0 0 1 0
.. x. .. *b3x. | 6 0 | 3 3 0 0 0 0 | * * 32 * * * * * * * * * * | 0 1 1 0 0 0 0 1 0 0 0 0 0 | 1 0 1 0 1 0
ox .. .. ..&#x | 1 2 | 0 0 2 1 0 0 | * * * 96 * * * * * * * * * | 0 0 0 1 1 1 0 0 0 0 0 0 0 | 0 1 1 1 0 0
.. xo .. ..&#x | 2 1 | 1 0 2 0 0 0 | * * * * 96 * * * * * * * * | 0 0 0 1 0 0 1 1 0 0 0 0 0 | 0 1 1 0 1 0
.. .. ox ..&#x | 1 2 | 0 0 2 0 1 0 | * * * * * 96 * * * * * * * | 0 0 0 0 1 0 1 0 1 0 0 0 0 | 0 1 0 1 1 0
.. .. .. xx&#x | 2 2 | 0 1 2 0 0 1 | * * * * * * 96 * * * * * * | 0 0 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 1 1 0
.x3.o .. .. | 0 3 | 0 0 0 3 0 0 | * * * * * * * 32 * * * * * | 0 0 0 1 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
.x .. .x .. | 0 4 | 0 0 0 2 2 0 | * * * * * * * * 48 * * * * | 0 0 0 0 1 0 0 0 0 1 0 1 0 | 0 1 0 1 0 1
.x .. .. .x | 0 4 | 0 0 0 2 0 2 | * * * * * * * * * 48 * * * | 0 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 1 0 1
.. .o3.x .. | 0 3 | 0 0 0 0 3 0 | * * * * * * * * * * 32 * * | 0 0 0 0 0 0 1 0 0 1 0 0 1 | 0 1 0 0 1 1
.. .o .. *b3.x | 0 3 | 0 0 0 0 0 3 | * * * * * * * * * * * 32 * | 0 0 0 0 0 0 0 1 0 0 1 0 1 | 0 0 1 0 1 1
.. .. .x .x | 0 4 | 0 0 0 0 2 2 | * * * * * * * * * * * * 48 | 0 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1
------------------+-------+--------------------+----------------------------------------+----------------------------------+-------------
o.3x.3o. .. ♦ 6 0 | 12 0 0 0 0 0 | 4 4 0 0 0 0 0 0 0 0 0 0 0 | 8 * * * * * * * * * * * * | 1 1 0 0 0 0
o.3x. .. *b3x. ♦ 12 0 | 12 6 0 0 0 0 | 4 0 4 0 0 0 0 0 0 0 0 0 0 | * 8 * * * * * * * * * * * | 1 0 1 0 0 0
.. x.3o. *b3x. ♦ 12 0 | 12 6 0 0 0 0 | 0 4 4 0 0 0 0 0 0 0 0 0 0 | * * 8 * * * * * * * * * * | 1 0 0 0 1 0
ox3xo .. ..&#x ♦ 3 3 | 3 0 6 3 0 0 | 1 0 0 3 3 0 0 1 0 0 0 0 0 | * * * 32 * * * * * * * * * | 0 1 1 0 0 0
ox .. ox ..&#x ♦ 1 4 | 0 0 4 2 2 0 | 0 0 0 2 0 2 0 0 1 0 0 0 0 | * * * * 48 * * * * * * * * | 0 1 0 1 0 0
ox .. .. xx&#x ♦ 2 4 | 0 1 4 2 0 2 | 0 0 0 2 0 0 2 0 0 1 0 0 0 | * * * * * 48 * * * * * * * | 0 0 1 1 0 0
.. xo3ox ..&#x ♦ 3 3 | 3 0 6 0 3 0 | 0 1 0 0 3 3 0 0 0 0 1 0 0 | * * * * * * 32 * * * * * * | 0 1 0 0 1 0
.. xo .. *b3xx&#x ♦ 6 3 | 3 3 6 0 0 3 | 0 0 1 0 3 0 3 0 0 0 0 1 0 | * * * * * * * 32 * * * * * | 0 0 1 0 1 0
.. .. ox xx&#x ♦ 2 4 | 0 1 4 0 2 2 | 0 0 0 0 0 2 2 0 0 0 0 0 1 | * * * * * * * * 48 * * * * | 0 0 0 1 1 0
.x3.o3.x .. ♦ 0 12 | 0 0 0 12 12 0 | 0 0 0 0 0 0 0 4 6 0 4 0 0 | * * * * * * * * * 8 * * * | 0 1 0 0 0 1
.x3.o .. *b3.x ♦ 0 12 | 0 0 0 12 0 12 | 0 0 0 0 0 0 0 4 0 6 0 4 0 | * * * * * * * * * * 8 * * | 0 0 1 0 0 1
.x .. .x .x ♦ 0 8 | 0 0 0 4 4 4 | 0 0 0 0 0 0 0 0 2 2 0 0 2 | * * * * * * * * * * * 24 * | 0 0 0 1 0 1
.. .o3.x *b3.x ♦ 0 12 | 0 0 0 0 12 12 | 0 0 0 0 0 0 0 0 0 0 4 4 6 | * * * * * * * * * * * * 8 | 0 0 0 0 1 1
------------------+-------+--------------------+----------------------------------------+----------------------------------+-------------
o.3x.3o. *b3x. ♦ 48 0 | 96 24 0 0 0 0 | 32 32 32 0 0 0 0 0 0 0 0 0 0 | 8 8 8 0 0 0 0 0 0 0 0 0 0 | 1 * * * * *
ox3xo3ox ..&#x ♦ 6 12 | 12 0 24 12 12 0 | 4 4 0 12 12 12 0 4 6 0 4 0 0 | 1 0 0 4 6 0 4 0 0 1 0 0 0 | * 8 * * * *
ox3xo .. *b3xx&#x ♦ 12 12 | 12 6 24 12 0 12 | 4 0 4 12 12 0 12 4 0 6 0 4 0 | 0 1 0 4 0 6 0 4 0 0 1 0 0 | * * 8 * * *
ox .. ox xx&#x ♦ 2 8 | 0 1 8 4 4 4 | 0 0 0 4 0 4 4 0 2 2 0 0 2 | 0 0 0 0 2 2 0 0 2 0 0 1 0 | * * * 24 * *
.. xo3ox *b3xx&#x ♦ 12 12 | 12 6 24 0 12 12 | 0 4 4 0 12 12 12 0 0 0 4 4 6 | 0 0 1 0 0 0 4 4 6 0 0 0 1 | * * * * 8 *
.x3.o3.x *b3.x ♦ 0 96 | 0 0 0 96 96 96 | 0 0 0 0 0 0 0 32 48 48 32 32 48 | 0 0 0 0 0 0 0 0 0 8 8 24 8 | * * * * * 1
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