Acronym | ricasrit, rico || srit |
Name | rectified-icositetrachoron atop small-rhombated-tesseract |
Circumradius | sqrt[2+sqrt(2)] = 1.847759 |
Lace city in approx. ASCII-art |
c t r t c -- x3o3x4o (rico) s T T s -- o3x3o4x (srit) where: c = o3x4o (co) t = x3x4o (toe) r = x3o4q (reco) s = x3o4x (sirco) T = o3x4x (tic) |
c t (u+U) t c -- x3o3x4o (rico) O a W b D B W A O -- o3x3o4x (srit) where: c = x3o3x (co) t = x3x3x (toe) u = u3x3o ((u,x)-tut) U = o3x3u (inv. (u,x)-tut) O = o3x3o (oct) a = o3x3q (inv. (q,x)-tut) A = q3x3o ((q,x)-tut) W = o3w3o (w-oct) b = x3o3w ((x,w)-sirco) B = w3o3x ((w,x)-sirco) D = x3q3x ((q,x)-toe) | |
Face vector | 192, 960, 1256, 568, 82 |
Confer |
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Incidence matrix according to Dynkin symbol
xo3ox3xo4ox&#x → height = sqrt[sqrt(2)-1] = 0.643594
(rico || srit)
o.3o.3o.4o. | 96 * | 2 4 4 0 0 | 1 4 2 2 4 2 4 2 0 0 0 0 | 2 2 1 2 4 2 2 1 2 0 0 0 | 1 2 1 2 1 0
.o3.o3.o4.o | * 96 | 0 0 4 4 2 | 0 0 0 0 2 4 2 4 2 2 4 1 | 0 0 0 2 1 2 2 4 2 1 2 2 | 0 1 2 1 2 1
---------------+-------+-------------------+-----------------------------------------+-----------------------------------+---------------
x. .. .. .. | 2 0 | 96 * * * * | 1 2 0 0 2 0 0 0 0 0 0 0 | 2 1 0 2 2 1 0 0 0 0 0 0 | 1 2 1 1 0 0
.. .. x. .. | 2 0 | * 192 * * * | 0 1 1 1 0 0 1 0 0 0 0 0 | 1 1 1 0 1 0 1 0 1 0 0 0 | 1 1 0 1 1 0
oo3oo3oo4oo&#x | 1 1 | * * 384 * * | 0 0 0 0 1 1 1 1 0 0 0 0 | 0 0 0 1 1 1 1 1 1 0 0 0 | 0 1 1 1 1 0
.. .x .. .. | 0 2 | * * * 192 * | 0 0 0 0 0 1 0 0 1 1 1 0 | 0 0 0 1 0 0 1 1 0 1 1 1 | 0 1 1 0 1 1
.. .. .. .x | 0 2 | * * * * 96 | 0 0 0 0 0 0 0 2 0 0 2 1 | 0 0 0 0 0 1 0 2 2 0 1 2 | 0 0 1 1 2 1
---------------+-------+-------------------+-----------------------------------------+-----------------------------------+---------------
x.3o. .. .. | 3 0 | 3 0 0 0 0 | 32 * * * * * * * * * * * | 2 0 0 2 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0
x. .. x. .. | 4 0 | 2 2 0 0 0 | * 96 * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 0 | 1 1 0 1 0 0
.. o.3x. .. | 3 0 | 0 3 0 0 0 | * * 64 * * * * * * * * * | 1 0 1 0 0 0 1 0 0 0 0 0 | 1 1 0 0 1 0
.. .. x.4o. | 4 0 | 0 4 0 0 0 | * * * 48 * * * * * * * * | 0 1 1 0 0 0 0 0 1 0 0 0 | 1 0 0 1 1 0
xo .. .. ..&#x | 2 1 | 1 0 2 0 0 | * * * * 192 * * * * * * * | 0 0 0 1 1 1 0 0 0 0 0 0 | 0 1 1 1 0 0
.. ox .. ..&#x | 1 2 | 0 0 2 1 0 | * * * * * 192 * * * * * * | 0 0 0 1 0 0 1 1 0 0 0 0 | 0 1 1 0 1 0
.. .. xo ..&#x | 2 1 | 0 1 2 0 0 | * * * * * * 192 * * * * * | 0 0 0 0 1 0 1 0 1 0 0 0 | 0 1 0 1 1 0
.. .. .. ox&#x | 1 2 | 0 0 2 0 1 | * * * * * * * 192 * * * * | 0 0 0 0 0 1 0 1 1 0 0 0 | 0 0 1 1 1 0
.o3.x .. .. | 0 3 | 0 0 0 3 0 | * * * * * * * * 64 * * * | 0 0 0 1 0 0 0 0 0 1 1 0 | 0 1 1 0 0 1
.. .x3.o .. | 0 3 | 0 0 0 3 0 | * * * * * * * * * 64 * * | 0 0 0 0 0 0 1 0 0 1 0 1 | 0 1 0 0 1 1
.. .x .. .x | 0 4 | 0 0 0 2 2 | * * * * * * * * * * 96 * | 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 1 0 1 1
.. .. .o4.x | 0 4 | 0 0 0 0 4 | * * * * * * * * * * * 24 | 0 0 0 0 0 0 0 0 2 0 0 2 | 0 0 0 1 2 1
---------------+-------+-------------------+-----------------------------------------+-----------------------------------+---------------
x.3o.3x. .. ♦ 12 0 | 12 12 0 0 0 | 4 6 4 0 0 0 0 0 0 0 0 0 | 16 * * * * * * * * * * * | 1 1 0 0 0 0
x. .. x.4o. ♦ 8 0 | 4 8 0 0 0 | 0 4 0 2 0 0 0 0 0 0 0 0 | * 24 * * * * * * * * * * | 1 0 0 1 0 0
.. o.3x.4o. ♦ 12 0 | 0 24 0 0 0 | 0 0 8 6 0 0 0 0 0 0 0 0 | * * 8 * * * * * * * * * | 1 0 0 0 1 0
xo3ox .. ..&#x ♦ 3 3 | 3 0 6 3 0 | 1 0 0 0 3 3 0 0 1 0 0 0 | * * * 64 * * * * * * * * | 0 1 1 0 0 0
xo .. xo ..&#x ♦ 4 1 | 2 2 4 0 0 | 0 1 0 0 2 0 2 0 0 0 0 0 | * * * * 96 * * * * * * * | 0 1 0 1 0 0
xo .. .. ox&#x ♦ 2 2 | 1 0 4 0 1 | 0 0 0 0 2 0 0 2 0 0 0 0 | * * * * * 96 * * * * * * | 0 0 1 1 0 0
.. ox3xo ..&#x ♦ 3 3 | 0 3 6 3 0 | 0 0 1 0 0 3 3 0 0 1 0 0 | * * * * * * 64 * * * * * | 0 1 0 0 1 0
.. ox .. ox&#x ♦ 1 4 | 0 0 4 2 2 | 0 0 0 0 0 2 0 2 0 0 1 0 | * * * * * * * 96 * * * * | 0 0 1 0 1 0
.. .. xo4ox&#x ♦ 4 4 | 0 4 8 0 4 | 0 0 0 1 0 0 4 4 0 0 0 1 | * * * * * * * * 48 * * * | 0 0 0 1 1 0
.o3.x3.o .. ♦ 0 6 | 0 0 0 12 0 | 0 0 0 0 0 0 0 0 4 4 0 0 | * * * * * * * * * 16 * * | 0 1 0 0 0 1
.o3.x .. .x ♦ 0 6 | 0 0 0 6 3 | 0 0 0 0 0 0 0 0 2 0 3 0 | * * * * * * * * * * 32 * | 0 0 1 0 0 1
.. .x3.o4.x ♦ 0 24 | 0 0 0 24 24 | 0 0 0 0 0 0 0 0 0 8 12 6 | * * * * * * * * * * * 8 | 0 0 0 0 1 1
---------------+-------+-------------------+-----------------------------------------+-----------------------------------+---------------
x.3o.3x.4o. ♦ 96 0 | 96 192 0 0 0 | 32 96 64 48 0 0 0 0 0 0 0 0 | 16 24 8 0 0 0 0 0 0 0 0 0 | 1 * * * * *
xo3ox3xo ..&#x ♦ 12 6 | 12 12 24 12 0 | 4 6 4 0 12 12 12 0 4 4 0 0 | 1 0 0 4 6 0 4 0 0 1 0 0 | * 16 * * * *
xo3ox .. ox&#x ♦ 3 6 | 3 0 12 6 3 | 1 0 0 0 6 6 0 6 2 0 3 0 | 0 0 0 2 0 3 0 3 0 0 1 0 | * * 32 * * *
xo .. xo4ox&#x ♦ 8 4 | 4 8 16 0 4 | 0 4 0 2 8 0 8 8 0 0 0 1 | 0 1 0 0 4 4 0 0 2 0 0 0 | * * * 24 * *
.. ox3xo4ox&#x ♦ 12 24 | 0 24 48 24 24 | 0 0 8 6 0 24 24 24 0 8 12 6 | 0 0 1 0 0 0 8 12 6 0 0 1 | * * * * 8 *
.o3.x3.o4.x ♦ 0 96 | 0 0 0 192 96 | 0 0 0 0 0 0 0 0 64 64 96 24 | 0 0 0 0 0 0 0 0 0 16 32 8 | * * * * * 1
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