| Acronym | nitarin |
| Name |
nit atop rin, nit-first rotunda of brox |
| Circumradius | sqrt(2) = 1.414214 |
|
Lace city in approx. ASCII-art |
o3x3o4o o3o3x4o o3x3o4o -- o3o3x3o4o (nit) o3o3x4o o3o3o4q o3o3x4o -- o3o3o3x4o (rin) |
| Coordinates | (1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0, 0) & all permutations, all changes of sign – but last coord. non-negative |
| Face vector | 160, 1120, 1840, 1200, 364, 44 |
| Confer |
|
Incidence matrix according to Dynkin symbol
oo3oo3xo3ox4oo&#xt → height = 1/sqrt(2) = 0.707107
(nit || rin)
o.3o.3o.3o.4o. | 80 * ♦ 12 4 0 | 12 12 12 4 0 0 | 4 12 3 12 12 1 0 0 | 4 3 4 12 3 0 0 | 1 4 3 0
.o3.o3.o3.o4.o | * 80 | 0 4 8 | 0 0 6 8 12 4 | 0 0 0 4 12 4 8 6 | 0 0 1 8 6 2 4 | 0 2 4 1
------------------+-------+-------------+------------------------+-----------------------------+-----------------------+----------
.. .. x. .. .. | 2 0 | 480 * * | 2 2 1 0 0 0 | 1 4 1 2 2 0 0 0 | 2 2 1 4 1 0 0 | 1 2 2 0
oo3oo3oo3oo4oo&#x | 1 1 | * 320 * | 0 0 3 2 0 0 | 0 0 0 3 6 1 0 0 | 0 0 1 6 3 0 0 | 0 2 3 0
.. .. .. .x .. | 0 2 | * * 320 | 0 0 0 1 3 1 | 0 0 0 0 3 1 3 3 | 0 0 0 3 3 1 3 | 0 1 3 1
------------------+-------+-------------+------------------------+-----------------------------+-----------------------+----------
.. o.3x. .. .. | 3 0 | 3 0 0 | 320 * * * * * | 1 2 0 1 0 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0
.. .. x.3o. .. | 3 0 | 3 0 0 | * 320 * * * * | 0 2 1 0 1 0 0 0 | 1 2 0 2 1 0 0 | 1 1 2 0
.. .. xo .. ..&#x | 2 1 | 1 2 0 | * * 480 * * * | 0 0 0 2 2 0 0 0 | 0 0 1 4 1 0 0 | 0 2 2 0
.. .. .. ox ..&#x | 1 2 | 0 2 1 | * * * 320 * * | 0 0 0 0 3 1 0 0 | 0 0 0 3 3 0 0 | 0 1 3 0
.. .. .o3.x .. | 0 3 | 0 0 3 | * * * * 320 * | 0 0 0 0 1 0 2 1 | 0 0 0 2 1 1 2 | 0 1 2 1
.. .. .. .x4.o | 0 4 | 0 0 4 | * * * * * 80 | 0 0 0 0 0 1 0 3 | 0 0 0 0 3 0 3 | 0 0 3 1
------------------+-------+-------------+------------------------+-----------------------------+-----------------------+----------
o.3o.3x. .. .. ♦ 4 0 | 6 0 0 | 4 0 0 0 0 0 | 80 * * * * * * * | 2 0 1 0 0 0 0 | 1 2 0 0
.. o.3x.3o. .. ♦ 6 0 | 12 0 0 | 4 4 0 0 0 0 | * 160 * * * * * * | 1 1 0 1 0 0 0 | 1 1 1 0
.. .. x.3o.4o. ♦ 6 0 | 12 0 0 | 0 8 0 0 0 0 | * * 40 * * * * * | 0 2 0 0 1 0 0 | 1 0 2 0
.. oo3xo .. ..&#x ♦ 3 1 | 3 3 0 | 1 0 3 0 0 0 | * * * 320 * * * * | 0 0 1 2 0 0 0 | 0 2 1 0
.. .. xo3ox ..&#x ♦ 3 3 | 3 6 3 | 0 1 3 3 1 0 | * * * * 320 * * * | 0 0 0 2 1 0 0 | 0 1 2 0
.. .. .. ox4oo&#x ♦ 1 4 | 0 4 4 | 0 0 0 4 0 1 | * * * * * 80 * * | 0 0 0 0 3 0 0 | 0 0 3 0
.. .o3.o3.x .. ♦ 0 4 | 0 0 6 | 0 0 0 0 4 0 | * * * * * * 160 * | 0 0 0 1 0 1 1 | 0 1 1 1
.. .. .o3.x4.o ♦ 0 12 | 0 0 24 | 0 0 0 0 8 6 | * * * * * * * 40 | 0 0 0 0 1 0 2 | 0 0 2 1
------------------+-------+-------------+------------------------+-----------------------------+-----------------------+----------
o.3o.3x.3o. .. ♦ 10 0 | 30 0 0 | 20 10 0 0 0 0 | 5 5 0 0 0 0 0 0 | 32 * * * * * * | 1 1 0 0
.. o.3x.3o.4o. ♦ 24 0 | 96 0 0 | 32 64 0 0 0 0 | 0 16 8 0 0 0 0 0 | * 10 * * * * * | 1 0 1 0
oo3oo3xo .. ..&#x ♦ 4 1 | 6 4 0 | 4 0 6 0 0 0 | 1 0 0 4 0 0 0 0 | * * 80 * * * * | 0 2 0 0
.. oo3xo3ox ..&#x ♦ 6 4 | 12 12 6 | 4 4 12 6 4 0 | 0 1 0 4 4 0 1 0 | * * * 160 * * * | 0 1 1 0
.. .. xo3ox4oo&#x ♦ 6 12 | 12 24 24 | 0 8 12 24 8 6 | 0 0 1 0 8 6 0 1 | * * * * 40 * * | 0 0 2 0
.o3.o3.o3.x .. ♦ 0 5 | 0 0 10 | 0 0 0 0 10 0 | 0 0 0 0 0 0 5 0 | * * * * * 32 * | 0 1 0 1
.. .o3.o3.x4.o ♦ 0 32 | 0 0 96 | 0 0 0 0 64 24 | 0 0 0 0 0 0 16 8 | * * * * * * 10 | 0 0 1 1
------------------+-------+-------------+------------------------+-----------------------------+-----------------------+----------
o.3o.3x.3o.4o. ♦ 80 0 | 480 0 0 | 320 320 0 0 0 0 | 80 160 40 0 0 0 0 0 | 32 10 0 0 0 0 0 | 1 * * *
oo3oo3xo3ox ..&#x ♦ 10 5 | 30 20 10 | 20 10 30 10 10 0 | 5 5 0 20 10 0 5 0 | 1 0 5 5 0 1 0 | * 32 * *
.. oo3xo3ox4oo&#x ♦ 24 32 | 96 96 96 | 32 64 96 96 64 24 | 0 16 8 32 64 24 16 8 | 0 1 0 16 8 0 1 | * * 10 *
.o3.o3.o3.x4.o ♦ 0 80 | 0 0 320 | 0 0 0 0 320 80 | 0 0 0 0 0 0 160 40 | 0 0 0 0 0 32 10 | * * * 1
ox3xo3ox *b3oo3oo&#x → height = 1/sqrt(2) = 0.707107
(nit || rin)
o.3o.3o. *b3o.3o. | 80 * ♦ 12 4 0 0 | 6 6 12 2 12 2 0 0 0 | 3 6 6 4 6 1 6 12 0 0 0 | 3 2 2 3 6 6 4 0 0 0 | 1 3 2 2 0
.o3.o3.o *b3.o3.o | * 80 | 0 4 4 4 | 0 0 0 4 6 4 6 4 6 | 0 0 0 0 6 4 6 4 6 4 4 | 0 0 0 6 4 4 1 4 1 1 | 0 4 1 1 1
---------------------+-------+-----------------+------------------------------------+-------------------------------------+-------------------------------+-------------
.. x. .. .. .. | 2 0 | 480 * * * | 1 1 2 0 1 0 0 0 0 | 1 2 2 1 1 0 1 2 0 0 0 | 2 1 1 1 2 2 1 0 0 0 | 1 2 1 1 0
oo3oo3oo *b3oo3oo&#x | 1 1 | * 320 * * | 0 0 0 1 3 1 0 0 0 | 0 0 0 0 3 1 3 3 0 0 0 | 0 0 0 3 3 3 1 0 0 0 | 0 3 1 1 0
.x .. .. .. .. | 0 2 | * * 160 * | 0 0 0 1 0 0 3 1 0 | 0 0 0 0 3 1 0 0 3 3 0 | 0 0 0 3 3 0 0 3 1 0 | 0 3 1 0 1
.. .. .x .. .. | 0 2 | * * * 160 | 0 0 0 0 0 1 0 1 3 | 0 0 0 0 0 1 3 0 3 0 3 | 0 0 0 3 0 3 0 3 0 1 | 0 3 0 1 1
---------------------+-------+-----------------+------------------------------------+-------------------------------------+-------------------------------+-------------
o.3x. .. .. .. | 3 0 | 3 0 0 0 | 160 * * * * * * * * | 1 2 0 0 1 0 0 0 0 0 0 | 2 1 0 1 2 0 0 0 0 0 | 1 2 1 0 0
.. x.3o. .. .. | 3 0 | 3 0 0 0 | * 160 * * * * * * * | 1 0 2 0 0 0 1 0 0 0 0 | 2 0 1 1 0 2 0 0 0 0 | 1 2 0 1 0
.. x. .. *b3o. .. | 3 0 | 3 0 0 0 | * * 320 * * * * * * | 0 1 1 1 0 0 0 1 0 0 0 | 1 1 1 0 1 1 1 0 0 0 | 1 1 1 1 0
ox .. .. .. ..&#x | 1 2 | 0 2 1 0 | * * * 160 * * * * * | 0 0 0 0 3 1 0 0 0 0 0 | 0 0 0 3 3 0 0 0 0 0 | 0 3 1 0 0
.. xo .. .. ..&#x | 2 1 | 1 2 0 0 | * * * * 480 * * * * | 0 0 0 0 1 0 1 2 0 0 0 | 0 0 0 1 2 2 1 0 0 0 | 0 2 1 1 0
.. .. ox .. ..&#x | 1 2 | 0 2 0 1 | * * * * * 160 * * * | 0 0 0 0 0 1 3 0 0 0 0 | 0 0 0 3 0 3 0 0 0 0 | 0 3 0 1 0
.x3.o .. .. .. | 0 3 | 0 0 3 0 | * * * * * * 160 * * | 0 0 0 0 1 0 0 0 1 2 0 | 0 0 0 1 2 0 0 2 1 0 | 0 2 1 0 1
.x .. .x .. .. | 0 4 | 0 0 2 2 | * * * * * * * 80 * | 0 0 0 0 0 1 0 0 3 0 0 | 0 0 0 3 0 0 0 3 0 0 | 0 3 0 0 1
.. .o3.x .. .. | 0 3 | 0 0 0 3 | * * * * * * * * 160 | 0 0 0 0 0 0 1 0 1 0 2 | 0 0 0 1 0 2 0 2 0 1 | 0 2 0 1 1
---------------------+-------+-----------------+------------------------------------+-------------------------------------+-------------------------------+-------------
o.3x.3o. .. .. ♦ 6 0 | 12 0 0 0 | 4 4 0 0 0 0 0 0 0 | 40 * * * * * * * * * * | 2 0 0 1 0 0 0 0 0 0 | 1 2 0 0 0
o.3x. .. *b3o. .. ♦ 6 0 | 12 0 0 0 | 4 0 4 0 0 0 0 0 0 | * 80 * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 | 1 1 1 0 0
.. x.3o. *b3o. .. ♦ 6 0 | 12 0 0 0 | 0 4 4 0 0 0 0 0 0 | * * 80 * * * * * * * * | 1 0 1 0 0 1 0 0 0 0 | 1 1 0 1 0
.. x. .. *b3o.3o. ♦ 4 0 | 6 0 0 0 | 0 0 4 0 0 0 0 0 0 | * * * 80 * * * * * * * | 0 1 1 0 0 0 1 0 0 0 | 1 0 1 1 0
ox3xo .. .. ..&#x ♦ 3 3 | 3 6 3 0 | 1 0 0 3 3 0 1 0 0 | * * * * 160 * * * * * * | 0 0 0 1 2 0 0 0 0 0 | 0 2 1 0 0
ox .. ox .. ..&#x ♦ 1 4 | 0 4 2 2 | 0 0 0 2 0 2 0 1 0 | * * * * * 80 * * * * * | 0 0 0 3 0 0 0 0 0 0 | 0 3 0 0 0
.. xo3ox .. ..&#x ♦ 3 3 | 3 6 0 3 | 0 1 0 0 3 3 0 0 1 | * * * * * * 160 * * * * | 0 0 0 1 0 2 0 0 0 0 | 0 2 0 1 0
.. xo .. *b3oo ..&#x ♦ 3 1 | 3 3 0 0 | 0 0 1 0 3 0 0 0 0 | * * * * * * * 320 * * * | 0 0 0 0 1 1 1 0 0 0 | 0 1 1 1 0
.x3.o3.x .. .. ♦ 0 12 | 0 0 12 12 | 0 0 0 0 0 0 4 6 4 | * * * * * * * * 40 * * | 0 0 0 1 0 0 0 2 0 0 | 0 2 0 0 1
.x3.o .. *b3.o .. ♦ 0 4 | 0 0 6 0 | 0 0 0 0 0 0 4 0 0 | * * * * * * * * * 80 * | 0 0 0 0 1 0 0 1 1 0 | 0 1 1 0 1
.. .o3.x *b3.o .. ♦ 0 4 | 0 0 0 6 | 0 0 0 0 0 0 0 0 4 | * * * * * * * * * * 80 | 0 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1
---------------------+-------+-----------------+------------------------------------+-------------------------------------+-------------------------------+-------------
o.3x.3o. *b3o. .. ♦ 24 0 | 96 0 0 0 | 32 32 32 0 0 0 0 0 0 | 8 8 8 0 0 0 0 0 0 0 0 | 10 * * * * * * * * * | 1 1 0 0 0
o.3x. .. *b3o.3o. ♦ 10 0 | 30 0 0 0 | 10 0 20 0 0 0 0 0 0 | 0 5 0 5 0 0 0 0 0 0 0 | * 16 * * * * * * * * | 1 0 1 0 0
.. x.3o. *b3o.3o. ♦ 10 0 | 30 0 0 0 | 0 10 20 0 0 0 0 0 0 | 0 0 5 5 0 0 0 0 0 0 0 | * * 16 * * * * * * * | 1 0 0 1 0
ox3xo3ox .. ..&#x ♦ 6 12 | 12 24 12 12 | 4 4 0 12 12 12 4 6 4 | 1 0 0 0 4 6 4 0 1 0 0 | * * * 40 * * * * * * | 0 2 0 0 0
ox3xo .. *b3oo ..&#x ♦ 6 4 | 12 12 6 0 | 4 0 4 6 12 0 4 0 0 | 0 1 0 0 4 0 0 4 0 1 0 | * * * * 80 * * * * * | 0 1 1 0 0
.. xo3ox *b3oo ..&#x ♦ 6 4 | 12 12 0 6 | 0 4 4 0 12 6 0 0 4 | 0 0 1 0 0 0 4 4 0 0 1 | * * * * * 80 * * * * | 0 1 0 1 0
.. xo .. *b3oo3oo&#x ♦ 4 1 | 6 4 0 0 | 0 0 4 0 6 0 0 0 0 | 0 0 0 1 0 0 0 4 0 0 0 | * * * * * * 80 * * * | 0 0 1 1 0
.x3.o3.x *b3.o .. ♦ 0 32 | 0 0 48 48 | 0 0 0 0 0 0 32 24 32 | 0 0 0 0 0 0 0 0 8 8 8 | * * * * * * * 10 * * | 0 1 0 0 1
.x3.o .. *b3.o3.o ♦ 0 5 | 0 0 10 0 | 0 0 0 0 0 0 10 0 0 | 0 0 0 0 0 0 0 0 0 5 0 | * * * * * * * * 16 * | 0 0 1 0 1
.. .o3.x *b3.o3.o ♦ 0 5 | 0 0 0 10 | 0 0 0 0 0 0 0 0 10 | 0 0 0 0 0 0 0 0 0 0 5 | * * * * * * * * * 16 | 0 0 0 1 1
---------------------+-------+-----------------+------------------------------------+-------------------------------------+-------------------------------+-------------
o.3x.3o. *b3o.3o. ♦ 80 0 | 480 0 0 0 | 160 160 320 0 0 0 0 0 0 | 40 80 80 80 0 0 0 0 0 0 0 | 10 16 16 0 0 0 0 0 0 0 | 1 * * * *
ox3xo3ox *b3oo ..&#x ♦ 24 32 | 96 96 48 48 | 32 32 32 48 96 48 32 24 32 | 8 8 8 0 32 24 32 32 8 8 8 | 1 0 0 8 8 8 0 1 0 0 | * 10 * * *
ox3xo .. *b3oo3oo&#x ♦ 10 5 | 30 20 10 0 | 10 0 20 10 30 0 10 0 0 | 0 5 0 5 10 0 0 20 0 5 0 | 0 1 0 0 5 0 5 0 1 0 | * * 16 * *
.. xo3ox *b3oo3oo&#x ♦ 10 5 | 30 20 0 10 | 0 10 20 0 30 10 0 0 10 | 0 0 5 5 0 0 10 20 0 0 5 | 0 0 1 0 0 5 5 0 0 1 | * * * 16 *
.x3.o3.x *b3.o3.o ♦ 0 80 | 0 0 160 160 | 0 0 0 0 0 0 160 80 160 | 0 0 0 0 0 0 0 0 40 80 80 | 0 0 0 0 0 0 0 10 16 16 | * * * * 1
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