Acronym | rinathin |
Name |
rectified penteract atop truncated demipenteract, rectified demipenteract-first cap of demirectified icosiheptaheptacontidipeton |
Circumradius | sqrt(14/3) = 2.160247 |
Lace city in approx. ASCII-art |
r1 H2H3 r1 -- x3o3x *b3o3o (rin) t3 A1 B1 t2 -- o3x3x *b3o3o (thin) where: r1 = o3o3x *b3x (rit) H2 = o3o3u *b3o, H3 = o3o3o *b3u (u-hex) t2 = o3x3x *b3o, t3 = o3x3o *b3u (thex) A1 = o3o3x *b3u ((x,u)-rit) B1 = o3o3u *b3x ((u,x)-rit) |
Face vector | 240, 1200, 1840, 1200, 364, 44 |
Confer |
|
Incidence matrix according to Dynkin symbol
xx3ox3xo *b3oo3oo&#x → height = sqrt(3/8) = 0.612372
(rin || thin)
o.3o.3o. *b3o.3o. | 80 * | 4 4 4 0 0 | 6 4 6 4 6 4 0 0 0 | 6 4 4 6 4 6 4 0 0 0 0 | 4 1 1 6 4 4 1 0 0 0 | 1 4 1 1 0
.o3.o3.o *b3.o3.o | * 160 | 0 0 2 1 6 | 0 0 0 2 6 1 6 3 6 | 0 0 0 6 1 3 6 3 6 3 2 | 0 0 0 3 6 3 2 3 2 1 | 0 3 2 1 1
---------------------+--------+--------------------+------------------------------------+-------------------------------------+-------------------------------+-------------
x. .. .. .. .. | 2 0 | 160 * * * * | 3 1 0 1 0 0 0 0 0 | 3 3 0 3 1 0 0 0 0 0 0 | 3 1 0 3 3 0 0 0 0 0 | 1 3 1 0 0
.. .. x. .. .. | 2 0 | * 160 * * * | 0 1 3 0 0 1 0 0 0 | 3 0 3 0 1 3 0 0 0 0 0 | 3 0 1 3 0 3 0 0 0 0 | 1 3 0 1 0
oo3oo3oo *b3oo3oo&#x | 1 1 | * * 320 * * | 0 0 0 1 3 1 0 0 0 | 0 0 0 3 1 3 3 0 0 0 0 | 0 0 0 3 3 3 1 0 0 0 | 0 3 1 1 0
.x .. .. .. .. | 0 2 | * * * 80 * | 0 0 0 2 0 0 6 0 0 | 0 0 0 6 1 0 0 3 6 0 0 | 0 0 0 3 6 0 0 3 2 0 | 0 3 2 0 1
.. .x .. .. .. | 0 2 | * * * * 480 | 0 0 0 0 1 0 1 1 2 | 0 0 0 1 0 1 2 1 2 2 1 | 0 0 0 1 2 2 1 2 1 1 | 0 2 1 1 1
---------------------+--------+--------------------+------------------------------------+-------------------------------------+-------------------------------+-------------
x.3o. .. .. .. | 3 0 | 3 0 0 0 0 | 160 * * * * * * * * | 1 2 0 1 0 0 0 0 0 0 0 | 2 1 0 1 2 0 0 0 0 0 | 1 2 1 0 0
x. .. x. .. .. | 4 0 | 2 2 0 0 0 | * 80 * * * * * * * | 3 0 0 0 1 0 0 0 0 0 0 | 3 0 0 3 0 0 0 0 0 0 | 1 3 0 0 0
.. o.3x. .. .. | 3 0 | 0 3 0 0 0 | * * 160 * * * * * * | 1 0 2 0 0 1 0 0 0 0 0 | 2 0 1 1 0 2 0 0 0 0 | 1 2 0 1 0
xx .. .. .. ..&#x | 2 2 | 1 0 2 1 0 | * * * 160 * * * * * | 0 0 0 3 1 0 0 0 0 0 0 | 0 0 0 3 3 0 0 0 0 0 | 0 3 1 0 0
.. ox .. .. ..&#x | 1 2 | 0 0 2 0 1 | * * * * 480 * * * * | 0 0 0 1 0 1 2 0 0 0 0 | 0 0 0 1 2 2 1 0 0 0 | 0 2 1 1 0
.. .. xo .. ..&#x | 2 1 | 0 1 2 0 0 | * * * * * 160 * * * | 0 0 0 0 1 3 0 0 0 0 0 | 0 0 0 3 0 3 0 0 0 0 | 0 3 0 1 0
.x3.x .. .. .. | 0 6 | 0 0 0 3 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 0 0 3 | * * * * * * * 160 * | 0 0 0 0 0 1 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 0 0 3 | * * * * * * * * 320 | 0 0 0 0 0 0 1 0 1 1 1 | 0 0 0 0 1 1 1 1 1 1 | 0 1 1 1 1
---------------------+--------+--------------------+------------------------------------+-------------------------------------+-------------------------------+-------------
x.3o.3x. .. .. ♦ 12 0 | 12 12 0 0 0 | 4 6 4 0 0 0 0 0 0 | 40 * * * * * * * * * * | 2 0 0 1 0 0 0 0 0 0 | 1 2 0 0 0
x.3o. .. *b3o. .. ♦ 4 0 | 6 0 0 0 0 | 4 0 0 0 0 0 0 0 0 | * 80 * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 | 1 1 1 0 0
.. o.3x. *b3o. .. ♦ 4 0 | 0 6 0 0 0 | 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
xx3ox .. .. ..&#x ♦ 3 6 | 3 0 6 3 3 | 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
xx .. xo .. ..&#x ♦ 4 2 | 2 2 4 1 0 | 0 1 0 2 0 2 0 0 0 | * * * * 80 * * * * * * | 0 0 0 3 0 0 0 0 0 0 | 0 3 0 0 0
.. ox3xo .. ..&#x ♦ 3 3 | 0 3 6 0 3 | 0 0 1 0 3 3 0 1 0 | * * * * * 160 * * * * * | 0 0 0 1 0 2 0 0 0 0 | 0 2 0 1 0
.. ox .. *b3oo ..&#x ♦ 1 3 | 0 0 3 0 3 | 0 0 0 0 3 0 0 0 1 | * * * * * * 320 * * * * | 0 0 0 0 1 1 1 0 0 0 | 0 1 1 1 0
.x3.x3.o .. .. ♦ 0 12 | 0 0 0 6 12 | 0 0 0 0 0 0 4 4 0 | * * * * * * * 40 * * * | 0 0 0 1 0 0 0 2 0 0 | 0 2 0 0 1
.x3.x .. *b3.o .. ♦ 0 12 | 0 0 0 6 12 | 0 0 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 0 0 12 | 0 0 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 0 0 6 | 0 0 0 0 0 0 0 0 4 | * * * * * * * * * * 80 | 0 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1
---------------------+--------+--------------------+------------------------------------+-------------------------------------+-------------------------------+-------------
x.3o.3x. *b3o. .. ♦ 32 0 | 48 48 0 0 0 | 32 24 32 0 0 0 0 0 0 | 8 8 8 0 0 0 0 0 0 0 0 | 10 * * * * * * * * * | 1 1 0 0 0
x.3o. .. *b3o.3o. ♦ 5 0 | 10 0 0 0 0 | 10 0 0 0 0 0 0 0 0 | 0 5 0 0 0 0 0 0 0 0 0 | * 16 * * * * * * * * | 1 0 1 0 0
.. o.3x. *b3o.3o. ♦ 5 0 | 0 10 0 0 0 | 0 0 10 0 0 0 0 0 0 | 0 0 5 0 0 0 0 0 0 0 0 | * * 16 * * * * * * * | 1 0 0 1 0
xx3ox3xo .. ..&#x ♦ 12 12 | 12 12 24 6 12 | 4 6 4 12 12 12 4 4 0 | 1 0 0 4 6 4 0 1 0 0 0 | * * * 40 * * * * * * | 0 2 0 0 0
xx3ox .. *b3oo ..&#x ♦ 4 12 | 6 0 12 6 12 | 4 0 0 6 12 0 4 0 4 | 0 1 0 4 0 0 4 0 1 0 0 | * * * * 80 * * * * * | 0 1 1 0 0
.. ox3xo *b3oo ..&#x ♦ 4 6 | 0 6 12 0 12 | 0 0 4 0 12 6 0 4 4 | 0 0 1 0 0 4 4 0 0 1 0 | * * * * * 80 * * * * | 0 1 0 1 0
.. ox .. *b3oo3oo&#x ♦ 1 4 | 0 0 4 0 6 | 0 0 0 0 6 0 0 0 4 | 0 0 0 0 0 0 4 0 0 0 1 | * * * * * * 80 * * * | 0 0 1 1 0
.x3.x3.o *b3.o .. ♦ 0 48 | 0 0 0 24 96 | 0 0 0 0 0 0 32 32 32 | 0 0 0 0 0 0 0 8 8 8 0 | * * * * * * * 10 * * | 0 1 0 0 1
.x3.x .. *b3.o3.o ♦ 0 20 | 0 0 0 10 30 | 0 0 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 0 0 30 | 0 0 0 0 0 0 0 10 20 | 0 0 0 0 0 0 0 0 0 5 5 | * * * * * * * * * 16 | 0 0 0 1 1
---------------------+--------+--------------------+------------------------------------+-------------------------------------+-------------------------------+-------------
x.3o.3x. *b3o.3o. ♦ 80 0 | 160 160 0 0 0 | 160 80 160 0 0 0 0 0 0 | 40 80 80 0 0 0 0 0 0 0 0 | 10 16 16 0 0 0 0 0 0 0 | 1 * * * *
xx3ox3xo *b3oo ..&#x ♦ 32 48 | 48 48 96 24 96 | 32 24 32 48 96 48 32 32 32 | 8 8 8 32 24 32 32 8 8 8 0 | 1 0 0 8 8 8 0 1 0 0 | * 10 * * *
xx3ox .. *b3oo3oo&#x ♦ 5 20 | 10 0 20 10 30 | 10 0 0 10 30 0 10 0 20 | 0 5 0 10 0 0 20 0 5 0 5 | 0 1 0 0 5 0 5 0 1 0 | * * 16 * *
.. ox3xo *b3oo3oo&#x ♦ 5 10 | 0 10 20 0 30 | 0 0 10 0 30 10 0 10 20 | 0 0 5 0 0 10 20 0 0 5 5 | 0 0 1 0 0 5 5 0 0 1 | * * * 16 *
.x3.x3.o *b3.o3.o ♦ 0 160 | 0 0 0 80 480 | 0 0 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
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