Acronym | bragabrox |
Name |
brag atop brox, brag-first rotunda of sez |
Circumradius | sqrt(2) = 1.414214 |
Lace city in approx. ASCII-art |
r N r - o3o3x3o3o4o (brag) N R N - o3o3o3x3o4o (brox) where: r - o3x3o3o4o (rat) N - o3o3x3o4o (nit) R - o3o3o3x4o (rin) |
Coordinates | (1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 1/sqrt(2), 0, 0, 0) & all permutations, all changes of sign – but last coord. non-negative |
Face vector | 400, 4320, 9440, 8400, 3592, 788, 78 |
Confer |
|
Incidence matrix according to Dynkin symbol
oo3oo3xo3ox3oo4oo&#x → height = = 1/sqrt(2) = 0.707107
(brag || brox)
o.3o.3o.3o.3o.4o. | 160 * ♦ 18 6 0 | 18 36 18 12 0 0 | 6 36 24 18 36 8 0 0 0 | 12 24 3 6 36 24 1 0 0 0 | 8 3 12 24 3 0 0 | 1 8 3 0
.o3.o3.o3.o3.o4.o | * 240 | 0 4 16 | 0 0 6 16 24 16 | 0 0 0 4 24 16 16 24 4 | 0 0 0 1 16 24 4 4 16 6 | 0 0 4 16 6 4 4 | 0 4 4 1
---------------------+---------+---------------+------------------------------+---------------------------------------+---------------------------------------+------------------------+----------
.. .. x. .. .. .. | 2 0 | 1440 * * | 2 4 1 0 0 0 | 1 8 4 2 4 0 0 0 0 | 4 8 1 1 8 4 0 0 0 0 | 4 2 4 8 1 0 0 | 1 4 2 0
oo3oo3oo3oo3oo4oo&#x | 1 1 | * 960 * | 0 0 3 4 0 0 | 0 0 0 3 12 4 0 0 0 | 0 0 0 1 12 12 1 0 0 0 | 0 0 4 12 3 0 0 | 0 4 3 0
.. .. .. .x .. .. | 0 2 | * * 1920 | 0 0 0 1 3 2 | 0 0 0 0 3 2 3 6 1 | 0 0 0 0 3 6 1 1 6 3 | 0 0 1 6 3 2 3 | 0 2 3 1
---------------------+---------+---------------+------------------------------+---------------------------------------+---------------------------------------+------------------------+----------
.. o.3x. .. .. .. | 3 0 | 3 0 0 | 960 * * * * * | 1 4 0 1 0 0 0 0 0 | 4 4 0 1 4 0 0 0 0 0 | 4 1 4 4 0 0 0 | 1 4 1 0
.. .. x.3o. .. .. | 3 0 | 3 0 0 | * 1920 * * * * | 0 2 2 0 1 0 0 0 0 | 1 4 1 0 2 2 0 0 0 0 | 2 2 1 4 1 0 0 | 1 2 2 0
.. .. xo .. .. ..&#x | 2 1 | 1 2 0 | * * 1440 * * * | 0 0 0 2 4 0 0 0 0 | 0 0 0 1 8 4 0 0 0 0 | 0 0 4 8 1 0 0 | 0 4 2 0
.. .. .. ox .. ..&#x | 1 2 | 0 2 1 | * * * 1920 * * | 0 0 0 0 3 2 0 0 0 | 0 0 0 0 3 6 1 0 0 0 | 0 0 1 6 3 0 0 | 0 2 3 0
.. .. .o3.x .. .. | 0 3 | 0 0 3 | * * * * 1920 * | 0 0 0 0 1 0 2 2 0 | 0 0 0 0 2 2 0 1 4 1 | 0 0 1 4 1 2 2 | 0 2 2 1
.. .. .. .x3.o .. | 0 3 | 0 0 3 | * * * * * 1280 | 0 0 0 0 0 1 0 3 1 | 0 0 0 0 0 3 1 0 3 3 | 0 0 0 3 3 1 3 | 0 1 3 1
---------------------+---------+---------------+------------------------------+---------------------------------------+---------------------------------------+------------------------+----------
o.3o.3x. .. .. .. ♦ 4 0 | 6 0 0 | 4 0 0 0 0 0 | 240 * * * * * * * * | 4 0 0 1 0 0 0 0 0 0 | 4 0 4 0 0 0 0 | 1 4 0 0
.. o.3x.3o. .. .. ♦ 6 0 | 12 0 0 | 4 4 0 0 0 0 | * 960 * * * * * * * | 1 2 0 0 1 0 0 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0
.. .. x.3o.3o. .. ♦ 4 0 | 6 0 0 | 0 4 0 0 0 0 | * * 960 * * * * * * | 0 2 1 0 0 1 0 0 0 0 | 1 2 0 2 1 0 0 | 1 1 2 0
.. oo3xo .. .. ..&#x ♦ 3 1 | 3 3 0 | 1 0 3 0 0 0 | * * * 960 * * * * * | 0 0 0 1 4 0 0 0 0 0 | 0 0 4 4 0 0 0 | 0 4 1 0
.. .. xo3ox .. ..&#x ♦ 3 3 | 3 6 3 | 0 1 3 3 1 0 | * * * * 1920 * * * * | 0 0 0 0 2 2 0 0 0 0 | 0 0 1 4 1 0 0 | 0 2 2 0
.. .. .. ox3oo ..&#x ♦ 1 3 | 0 3 3 | 0 0 0 3 0 1 | * * * * * 1280 * * * | 0 0 0 0 0 3 1 0 0 0 | 0 0 0 3 3 0 0 | 0 1 3 0
.. .o3.o3.x .. .. ♦ 0 4 | 0 0 6 | 0 0 0 0 4 0 | * * * * * * 960 * * | 0 0 0 0 1 0 0 1 2 0 | 0 0 1 2 0 2 1 | 0 2 1 1
.. .. .o3.x3.o .. ♦ 0 6 | 0 0 12 | 0 0 0 0 4 4 | * * * * * * * 960 * | 0 0 0 0 0 1 0 0 2 1 | 0 0 0 2 1 1 2 | 0 1 2 1
.. .. .. .x3.o4.o ♦ 0 6 | 0 0 12 | 0 0 0 0 0 8 | * * * * * * * * 160 | 0 0 0 0 0 0 1 0 0 3 | 0 0 0 0 3 0 3 | 0 0 3 1
---------------------+---------+---------------+------------------------------+---------------------------------------+---------------------------------------+------------------------+----------
o.3o.3x.3o. .. .. ♦ 10 0 | 30 0 0 | 20 10 0 0 0 0 | 5 5 0 0 0 0 0 0 0 | 192 * * * * * * * * * | 2 0 1 0 0 0 0 | 1 2 0 0
.. o.3x.3o.3o. .. ♦ 10 0 | 30 0 0 | 10 20 0 0 0 0 | 0 5 5 0 0 0 0 0 0 | * 384 * * * * * * * * | 1 1 0 1 0 0 0 | 1 1 1 0
.. .. x.3o.3o.4o. ♦ 8 0 | 24 0 0 | 0 32 0 0 0 0 | 0 0 16 0 0 0 0 0 0 | * * 60 * * * * * * * | 0 2 0 0 1 0 0 | 1 0 2 0
oo3oo3xo .. .. ..&#x ♦ 4 1 | 6 4 0 | 4 0 6 0 0 0 | 1 0 0 4 0 0 0 0 0 | * * * 240 * * * * * * | 0 0 4 0 0 0 0 | 0 4 0 0
.. oo3xo3ox .. ..&#x ♦ 6 4 | 12 12 6 | 4 4 12 6 4 0 | 0 1 0 4 4 0 1 0 0 | * * * * 960 * * * * * | 0 0 1 2 0 0 0 | 0 2 1 0
.. .. xo3ox3oo ..&#x ♦ 4 6 | 6 12 12 | 0 4 6 12 4 4 | 0 0 1 0 4 4 0 1 0 | * * * * * 960 * * * * | 0 0 0 2 1 0 0 | 0 1 2 0
.. .. .. ox3oo4oo&#x ♦ 1 6 | 0 6 12 | 0 0 0 12 0 8 | 0 0 0 0 0 8 0 0 1 | * * * * * * 160 * * * | 0 0 0 0 3 0 0 | 0 0 3 0
.o3.o3.o3.x .. .. ♦ 0 5 | 0 0 10 | 0 0 0 0 10 0 | 0 0 0 0 0 0 5 0 0 | * * * * * * * 192 * * | 0 0 1 0 0 2 0 | 0 2 0 1
.. .o3.o3.x3.o .. ♦ 0 10 | 0 0 30 | 0 0 0 0 20 10 | 0 0 0 0 0 0 5 5 0 | * * * * * * * * 384 * | 0 0 0 1 0 1 1 | 0 1 1 1
.. .. .o3.x3.o4.o ♦ 0 24 | 0 0 96 | 0 0 0 0 32 64 | 0 0 0 0 0 0 0 16 8 | * * * * * * * * * 60 | 0 0 0 0 1 0 2 | 0 0 2 1
---------------------+---------+---------------+------------------------------+---------------------------------------+---------------------------------------+------------------------+----------
o.3o.3x.3o.3o. .. ♦ 20 0 | 90 0 0 | 60 60 0 0 0 0 | 15 30 15 0 0 0 0 0 0 | 6 6 0 0 0 0 0 0 0 0 | 64 * * * * * * | 1 1 0 0
.. o.3x.3o.3o.4o. ♦ 40 0 | 240 0 0 | 80 320 0 0 0 0 | 0 80 160 0 0 0 0 0 0 | 0 32 10 0 0 0 0 0 0 0 | * 12 * * * * * | 1 0 1 0
oo3oo3xo3ox .. ..&#x ♦ 10 5 | 30 20 10 | 20 10 30 10 10 0 | 5 5 0 20 10 0 5 0 0 | 1 0 0 5 5 0 0 1 0 0 | * * 192 * * * * | 0 2 0 0
.. oo3xo3ox3oo ..&#x ♦ 10 10 | 30 30 30 | 10 20 30 30 20 10 | 0 5 5 10 20 10 5 5 0 | 0 1 0 0 5 5 0 0 1 0 | * * * 384 * * * | 0 1 1 0
.. .. xo3ox3oo4oo&#x ♦ 8 24 | 24 48 96 | 0 32 24 96 32 64 | 0 0 16 0 32 64 0 16 8 | 0 0 1 0 0 16 8 0 0 1 | * * * * 60 * * | 0 0 2 0
.o3.o3.o3.x3.o .. ♦ 0 15 | 0 0 60 | 0 0 0 0 60 20 | 0 0 0 0 0 0 30 15 0 | 0 0 0 0 0 0 0 6 6 0 | * * * * * 64 * | 0 1 0 1
.. .o3.o3.x3.o4.o ♦ 0 80 | 0 0 480 | 0 0 0 0 320 320 | 0 0 0 0 0 0 80 160 40 | 0 0 0 0 0 0 0 0 32 10 | * * * * * * 12 | 0 0 1 1
---------------------+---------+---------------+------------------------------+---------------------------------------+---------------------------------------+------------------------+----------
o.3o.3x.3o.3o.4o. ♦ 160 0 | 1440 0 0 | 960 1920 0 0 0 0 | 240 960 960 0 0 0 0 0 0 | 192 384 60 0 0 0 0 0 0 0 | 64 12 0 0 0 0 0 | 1 * * *
oo3oo3xo3ox3oo ..&#x ♦ 20 15 | 90 60 60 | 60 60 90 60 60 20 | 15 30 15 60 60 20 30 15 0 | 6 6 0 15 30 15 0 6 6 0 | 1 0 6 6 0 1 0 | * 64 * *
.. oo3xo3ox3oo4oo&#x ♦ 40 80 | 240 240 480 | 80 320 240 480 320 320 | 0 80 160 80 320 320 80 160 40 | 0 32 10 0 80 160 40 0 32 10 | 0 1 0 32 10 0 1 | * * 12 *
.o3.o3.o3.x3.o4.o ♦ 0 240 | 0 0 1920 | 0 0 0 0 1920 1280 | 0 0 0 0 0 0 960 960 160 | 0 0 0 0 0 0 0 192 384 60 | 0 0 0 0 0 64 12 | * * * 1
oo3xo3oo *b3ox3oo3oo&#x → height = = 1/sqrt(2) = 0.707107
(brag || brox)
...
© 2004-2024 | top of page |