Acronym | ratanit |
Name |
rectified triacontaditeron atop penteractitriacontiditeron, rat-first rotunda of brag |
Circumradius | sqrt(3/2) = 1.224745 |
Lace city in approx. ASCII-art |
h i h - o3x3o3o4o (rat) i r i - o3o3x3o4o (nit) where: h - x3o3o4o (hex) i - o3x3o4o (ico) r - o3o3x4o (rit) |
Face vector | 120, 960, 1760, 1240, 364, 44 |
Confer |
|
Incidence matrix according to Dynkin symbol
oo3xo3ox3oo4oo&#x → height = 1/sqrt(2) = 0.707107
(rat || nit)
o.3o.3o.3o.4o. | 40 * ♦ 12 6 0 | 6 24 12 12 0 0 | 12 16 6 24 8 0 0 0 | 8 2 12 16 1 0 0 | 1 8 2 0
.o3.o3.o3.o4.o | * 80 | 0 3 12 | 0 0 3 12 12 12 | 0 0 1 12 12 4 12 3 | 0 0 4 12 3 4 3 | 0 4 3 1
------------------+-------+-------------+------------------------+-----------------------------+-----------------------+----------
.. x. .. .. .. | 2 0 | 240 * * | 1 4 1 0 0 0 | 4 4 1 4 0 0 0 0 | 4 1 4 4 0 0 0 | 1 4 1 0
oo3oo3oo3oo4oo&#x | 1 1 | * 240 * | 0 0 2 4 0 0 | 0 0 1 8 4 0 0 0 | 0 0 4 8 1 0 0 | 0 4 2 0
.. .. .x .. .. | 0 2 | * * 480 | 0 0 0 1 2 2 | 0 0 0 2 2 1 4 1 | 0 0 1 4 1 2 2 | 0 2 2 1
------------------+-------+-------------+------------------------+-----------------------------+-----------------------+----------
o.3x. .. .. .. | 3 0 | 3 0 0 | 80 * * * * * | 4 0 1 0 0 0 0 0 | 4 0 4 0 0 0 0 | 1 4 0 0
.. x.3o. .. .. | 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
.. xo .. .. ..&#x | 2 1 | 1 2 0 | * * 240 * * * | 0 0 1 4 0 0 0 0 | 0 0 4 4 0 0 0 | 0 4 1 0
.. .. ox .. ..&#x | 1 2 | 0 2 1 | * * * 480 * * | 0 0 0 2 2 0 0 0 | 0 0 1 4 1 0 0 | 0 2 2 0
.. .o3.x .. .. | 0 3 | 0 0 3 | * * * * 320 * | 0 0 0 1 0 1 2 0 | 0 0 1 2 0 2 1 | 0 2 1 1
.. .. .x3.o .. | 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
------------------+-------+-------------+------------------------+-----------------------------+-----------------------+----------
o.3x.3o. .. .. ♦ 6 0 | 12 0 0 | 4 4 0 0 0 0 | 80 * * * * * * * | 2 0 1 0 0 0 0 | 1 2 0 0
.. x.3o.3o. .. ♦ 4 0 | 6 0 0 | 0 4 0 0 0 0 | * 160 * * * * * * | 1 1 0 1 0 0 0 | 1 1 1 0
oo3xo .. .. ..&#x ♦ 3 1 | 3 3 0 | 1 0 3 0 0 0 | * * 80 * * * * * | 0 0 4 0 0 0 0 | 0 4 0 0
.. xo3ox .. ..&#x ♦ 3 3 | 3 6 3 | 0 1 3 3 1 0 | * * * 320 * * * * | 0 0 1 2 0 0 0 | 0 2 1 0
.. .. ox3oo ..&#x ♦ 1 3 | 0 3 3 | 0 0 0 3 0 1 | * * * * 320 * * * | 0 0 0 2 1 0 0 | 0 1 2 0
.o3.o3.x .. .. ♦ 0 4 | 0 0 6 | 0 0 0 0 4 0 | * * * * * 80 * * | 0 0 1 0 0 2 0 | 0 2 0 1
.. .o3.x3.o .. ♦ 0 6 | 0 0 12 | 0 0 0 0 4 4 | * * * * * * 160 * | 0 0 0 1 0 1 1 | 0 1 1 1
.. .. .x3.o4.o ♦ 0 6 | 0 0 12 | 0 0 0 0 0 8 | * * * * * * * 40 | 0 0 0 0 1 0 2 | 0 0 2 1
------------------+-------+-------------+------------------------+-----------------------------+-----------------------+----------
o.3x.3o.3o. .. ♦ 10 0 | 30 0 0 | 10 20 0 0 0 0 | 5 5 0 0 0 0 0 0 | 32 * * * * * * | 1 1 0 0
.. x.3o.3o.4o. ♦ 8 0 | 24 0 0 | 0 32 0 0 0 0 | 0 16 0 0 0 0 0 0 | * 10 * * * * * | 1 0 1 0
oo3xo3ox .. ..&#x ♦ 6 4 | 12 12 6 | 4 4 12 6 4 0 | 1 0 4 4 0 1 0 0 | * * 80 * * * * | 0 2 0 0
.. xo3ox3oo ..&#x ♦ 4 6 | 6 12 12 | 0 4 6 12 4 4 | 0 1 0 4 4 0 1 0 | * * * 160 * * * | 0 1 1 0
.. .. ox3oo4oo&#x ♦ 1 6 | 0 6 12 | 0 0 0 12 0 8 | 0 0 0 0 8 0 0 1 | * * * * 40 * * | 0 0 2 0
.o3.o3.x.o .. ♦ 0 10 | 0 0 30 | 0 0 0 0 20 10 | 0 0 0 0 0 5 5 0 | * * * * * 32 * | 0 1 0 1
.. .o3.x.o4.o ♦ 0 24 | 0 0 96 | 0 0 0 0 32 64 | 0 0 0 0 0 0 16 8 | * * * * * * 10 | 0 0 1 1
------------------+-------+-------------+------------------------+-----------------------------+-----------------------+----------
o.3x.3o.3o.4o. ♦ 40 0 | 240 0 0 | 80 320 0 0 0 0 | 80 160 0 0 0 0 0 0 | 32 10 0 0 0 0 0 | 1 * * *
oo3xo3ox3oo ..&#x ♦ 10 10 | 30 30 30 | 10 20 30 30 20 10 | 5 5 10 20 10 5 5 0 | 1 0 5 5 0 1 0 | * 32 * *
.. xo3ox3oo4oo&#x ♦ 8 24 | 24 48 96 | 0 32 24 96 32 64 | 0 16 0 32 64 0 16 8 | 0 1 0 16 8 0 1 | * * 10 *
.o3.o3.x3.o4.o ♦ 0 80 | 0 0 480 | 0 0 0 0 320 320 | 0 0 0 0 0 80 160 40 | 0 0 0 0 0 32 10 | * * * 1
oo3ox3oo *b3xo3oo&#x → height = 1/sqrt(2) = 0.707107
(rat || nit)
o.3o.3o. *b3o.3o. | 40 * ♦ 12 6 0 | 24 6 12 12 0 0 0 | 8 8 12 4 4 24 6 0 0 0 0 | 2 4 4 1 8 8 12 0 0 0 | 1 2 4 4 0
.o3.o3.o *b3.o3.o | * 80 | 0 3 12 | 0 0 12 3 6 6 12 | 0 0 0 6 6 12 1 3 6 6 4 | 0 0 0 3 6 6 4 3 2 2 | 0 3 2 2 1
---------------------+-------+-------------+----------------------------+-------------------------------------+-------------------------------+-------------
.. .. .. x. .. | 2 0 | 240 * * | 4 1 0 1 0 0 0 | 2 2 4 0 0 4 1 0 0 0 0 | 1 2 2 0 2 2 4 0 0 0 | 1 1 2 2 0
oo3oo3oo *b3oo3oo&#x | 1 1 | * 240 * | 0 0 4 4 0 0 0 | 0 0 0 2 2 8 1 0 0 0 0 | 0 0 0 1 4 4 4 0 0 0 | 0 2 2 2 0
.. .x .. .. .. | 0 2 | * * 480 | 0 0 1 0 1 1 2 | 0 0 0 1 1 2 0 1 2 2 1 | 0 0 0 1 2 2 1 2 1 1 | 0 2 1 1 1
---------------------+-------+-------------+----------------------------+-------------------------------------+-------------------------------+-------------
.. o. .. *b3x. .. | 3 0 | 3 0 0 | 320 * * * * * * | 1 1 1 0 0 1 0 0 0 0 0 | 1 1 1 0 1 1 1 0 0 0 | 1 1 1 1 0
.. .. .. x.3o. | 3 0 | 3 0 0 | * 80 * * * * * | 0 0 4 0 0 0 1 0 0 0 0 | 0 2 2 0 0 0 4 0 0 0 | 1 0 2 2 0
.. ox .. .. ..&#x | 1 2 | 0 2 1 | * * 480 * * * * | 0 0 0 1 1 2 0 0 0 0 0 | 0 0 0 1 2 2 1 0 0 0 | 0 2 1 1 0
.. .. .. xo ..&#x | 2 1 | 1 2 0 | * * * 240 * * * | 0 0 0 0 0 4 1 0 0 0 0 | 0 0 0 0 2 2 4 0 0 0 | 0 1 2 2 0
.o3.x .. .. .. | 0 3 | 0 0 3 | * * * * 160 * * | 0 0 0 1 0 0 0 1 2 0 0 | 0 0 0 1 2 0 0 2 1 0 | 0 2 1 0 1
.. .x3.o .. .. | 0 3 | 0 0 3 | * * * * * 160 * | 0 0 0 0 1 0 0 1 0 2 0 | 0 0 0 1 0 2 0 2 0 1 | 0 2 0 1 1
.. .x .. *b3.o .. | 0 3 | 0 0 3 | * * * * * * 320 | 0 0 0 0 0 1 0 0 1 1 1 | 0 0 0 0 1 1 1 1 1 1 | 0 1 1 1 1
---------------------+-------+-------------+----------------------------+-------------------------------------+-------------------------------+-------------
o.3o. .. *b3x. .. ♦ 4 0 | 6 0 0 | 4 0 0 0 0 0 0 | 80 * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 | 1 1 1 0 0
.. o.3o. *b3x. .. ♦ 4 0 | 6 0 0 | 4 0 0 0 0 0 0 | * 80 * * * * * * * * * | 1 0 1 0 0 1 0 0 0 0 | 1 1 0 1 0
.. o. .. *b3x.3o. ♦ 6 0 | 12 0 0 | 4 4 0 0 0 0 0 | * * 80 * * * * * * * * | 0 1 1 0 0 0 1 0 0 0 | 1 0 1 1 0
oo3ox .. .. ..&#x ♦ 1 3 | 0 3 3 | 0 0 3 0 1 0 0 | * * * 160 * * * * * * * | 0 0 0 1 2 0 0 0 0 0 | 0 2 1 0 0
.. ox3oo .. ..&#x ♦ 1 3 | 0 3 3 | 0 0 3 0 0 1 0 | * * * * 160 * * * * * * | 0 0 0 1 0 2 0 0 0 0 | 0 2 0 1 0
.. ox .. *b3xo ..&#x ♦ 3 3 | 3 6 3 | 1 0 3 3 0 0 1 | * * * * * 320 * * * * * | 0 0 0 0 1 1 1 0 0 0 | 0 1 1 1 0
.. .. .. xo3oo&#x ♦ 3 1 | 3 3 0 | 0 1 0 3 0 0 0 | * * * * * * 80 * * * * | 0 0 0 0 0 0 4 0 0 0 | 0 0 2 2 0
.o3.x3.o .. .. ♦ 0 6 | 0 0 12 | 0 0 0 0 4 4 0 | * * * * * * * 40 * * * | 0 0 0 1 0 0 0 2 0 0 | 0 2 0 0 1
.o3.x .. *b3.o .. ♦ 0 6 | 0 0 12 | 0 0 0 0 4 0 4 | * * * * * * * * 80 * * | 0 0 0 0 1 0 0 1 1 0 | 0 1 1 0 1
.. .x3.o *b3.o .. ♦ 0 6 | 0 0 12 | 0 0 0 0 0 4 4 | * * * * * * * * * 80 * | 0 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1
.. .x .. *b3.o3.o ♦ 0 4 | 0 0 6 | 0 0 0 0 0 0 4 | * * * * * * * * * * 80 | 0 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1
---------------------+-------+-------------+----------------------------+-------------------------------------+-------------------------------+-------------
o.3o.3o. *b3x. .. ♦ 8 0 | 24 0 0 | 32 0 0 0 0 0 0 | 8 8 0 0 0 0 0 0 0 0 0 | 10 * * * * * * * * * | 1 1 0 0 0
o.3o. .. *b3x.3o. ♦ 10 0 | 30 0 0 | 20 10 0 0 0 0 0 | 5 0 5 0 0 0 0 0 0 0 0 | * 16 * * * * * * * * | 1 0 1 0 0
.. o.3o. *b3x.3o. ♦ 10 0 | 30 0 0 | 20 10 0 0 0 0 0 | 0 5 5 0 0 0 0 0 0 0 0 | * * 16 * * * * * * * | 1 0 0 1 0
oo3ox3oo .. ..&#x ♦ 1 6 | 0 6 12 | 0 0 12 0 4 4 0 | 0 0 0 4 4 0 0 1 0 0 0 | * * * 40 * * * * * * | 0 2 0 0 0
oo3ox .. *b3xo ..&#x ♦ 4 6 | 6 12 12 | 4 0 12 6 4 0 4 | 1 0 0 4 0 4 0 0 1 0 0 | * * * * 80 * * * * * | 0 1 1 0 0
.. ox3oo *b3xo ..&#x ♦ 4 6 | 6 12 12 | 4 0 12 6 0 4 4 | 0 1 0 0 4 4 0 0 0 1 0 | * * * * * 80 * * * * | 0 1 0 1 0
.. ox .. *b3xo3oo&#x ♦ 6 4 | 12 12 6 | 4 4 6 12 0 0 4 | 0 0 1 0 0 4 4 0 0 0 1 | * * * * * * 80 * * * | 0 0 1 1 0
.o3.x3.o *b3.o .. ♦ 0 24 | 0 0 96 | 0 0 0 0 32 32 32 | 0 0 0 0 0 0 0 8 8 8 0 | * * * * * * * 10 * * | 0 1 0 0 1
.o3.x .. *b3.o3.o ♦ 0 10 | 0 0 30 | 0 0 0 0 10 0 20 | 0 0 0 0 0 0 0 0 5 0 5 | * * * * * * * * 16 * | 0 0 1 0 1
.. .x3.o *b3.o3.o ♦ 0 10 | 0 0 30 | 0 0 0 0 0 10 20 | 0 0 0 0 0 0 0 0 0 5 5 | * * * * * * * * * 16 | 0 0 0 1 1
---------------------+-------+-------------+----------------------------+-------------------------------------+-------------------------------+-------------
o.3o.3o. *b3x.3o. ♦ 40 0 | 240 0 0 | 320 80 0 0 0 0 0 | 80 80 80 0 0 0 0 0 0 0 0 | 10 16 16 0 0 0 0 0 0 0 | 1 * * * *
oo3ox3oo *b3xo ..&#x ♦ 8 24 | 24 48 96 | 32 0 96 24 32 32 32 | 8 8 0 32 32 32 0 8 8 8 0 | 1 0 0 8 8 8 0 1 0 0 | * 10 * * *
oo3ox .. *b3xo3oo&#x ♦ 10 10 | 30 30 30 | 20 10 30 30 10 0 20 | 5 0 5 10 0 20 10 0 5 0 5 | 0 1 0 0 5 0 5 0 1 0 | * * 16 * *
.. ox3oo *b3xo3oo&#x ♦ 10 10 | 30 30 30 | 20 10 30 30 0 10 20 | 0 5 5 0 10 20 10 0 0 5 5 | 0 0 1 0 0 5 5 0 0 1 | * * * 16 *
.o3.x3.o *b3.o3.o ♦ 0 80 | 0 0 480 | 0 0 0 0 160 160 320 | 0 0 0 0 0 0 0 40 80 80 80 | 0 0 0 0 0 0 0 10 16 16 | * * * * 1
© 2004-2024 | top of page |