Acronym | sricoa (old: sricoalsrico), srico || gyro srico |
Name |
small-rhombated-icositetrachoron alterprism, small-rhombated-icositetrachoron atop gyrated small-rhombated-icositetrachoron |
Circumradius | sqrt[15+9 sqrt(2)]/2 = 2.632865 |
Lace city in approx. ASCII-art |
o3x4o x3o4x o3x4x x3q4o w3o4x x3x4x o3w4o w3x4o q3x4x x3o4w o3x4u w3o4q q3x4x x3o4w w3x4o o3w4o x3x4x w3o4x x3q4o o3x4x x3o4x o3x4o | +-- x3o4x3o (srico) +-------- o3x4o3x (gyro srico) |
Face vector | 576, 2880, 3744, 1680, 242 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
xo3ox4xo3ox&#x → height = sqrt[sqrt(2)-1] = 0.643594
(srico || gyro srico)
o.3o.4o.3o. | 288 * | 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.o4.o3.o | * 288 | 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 | 288 * * * * | 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 | * 576 * * * | 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
oo3oo4oo3oo&#x | 1 1 | * * 1152 * * | 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 | * * * 576 * | 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 | * * * * 288 | 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 | 96 * * * * * * * * * * * | 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 | * 288 * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 0 | 1 1 0 1 0 0
.. o.4x. .. | 4 0 | 0 4 0 0 0 | * * 144 * * * * * * * * * | 1 0 1 0 0 0 1 0 0 0 0 0 | 1 1 0 0 1 0
.. .. x.3o. | 3 0 | 0 3 0 0 0 | * * * 192 * * * * * * * * | 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 | * * * * 576 * * * * * * * | 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 | * * * * * 576 * * * * * * | 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 | * * * * * * 576 * * * * * | 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 | * * * * * * * 576 * * * * | 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 | * * * * * * * * 192 * * * | 0 0 0 1 0 0 0 0 0 1 1 0 | 0 1 1 0 0 1
.. .x4.o .. | 0 4 | 0 0 0 4 0 | * * * * * * * * * 144 * * | 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 | * * * * * * * * * * 288 * | 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 1 0 1 1
.. .. .o3.x | 0 3 | 0 0 0 0 3 | * * * * * * * * * * * 96 | 0 0 0 0 0 0 0 0 2 0 0 2 | 0 0 0 1 2 1
---------------+---------+----------------------+-----------------------------------------------+-------------------------------------------+----------------
x.3o.4x. .. ♦ 24 0 | 24 24 0 0 0 | 8 12 6 0 0 0 0 0 0 0 0 0 | 24 * * * * * * * * * * * | 1 1 0 0 0 0
x. .. x.3o. ♦ 6 0 | 3 6 0 0 0 | 0 3 0 2 0 0 0 0 0 0 0 0 | * 96 * * * * * * * * * * | 1 0 0 1 0 0
.. o.4x.3o. ♦ 12 0 | 0 24 0 0 0 | 0 0 6 8 0 0 0 0 0 0 0 0 | * * 24 * * * * * * * * * | 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 | * * * 192 * * * * * * * * | 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 | * * * * 288 * * * * * * * | 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 | * * * * * 288 * * * * * * | 0 0 1 1 0 0
.. ox4xo ..&#x ♦ 4 4 | 0 4 8 4 0 | 0 0 1 0 0 4 4 0 0 1 0 0 | * * * * * * 144 * * * * * | 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 | * * * * * * * 288 * * * * | 0 0 1 0 1 0
.. .. xo3ox&#x ♦ 3 3 | 0 3 6 0 3 | 0 0 0 1 0 0 3 3 0 0 0 1 | * * * * * * * * 192 * * * | 0 0 0 1 1 0
.o3.x4.o .. ♦ 0 12 | 0 0 0 24 0 | 0 0 0 0 0 0 0 0 8 6 0 0 | * * * * * * * * * 24 * * | 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 | * * * * * * * * * * 96 * | 0 0 1 0 0 1
.. .x4.o3.x ♦ 0 24 | 0 0 0 24 24 | 0 0 0 0 0 0 0 0 0 6 12 8 | * * * * * * * * * * * 24 | 0 0 0 0 1 1
---------------+---------+----------------------+-----------------------------------------------+-------------------------------------------+----------------
x.3o.4x.3o. ♦ 288 0 | 288 576 0 0 0 | 96 288 144 192 0 0 0 0 0 0 0 0 | 24 96 24 0 0 0 0 0 0 0 0 0 | 1 * * * * *
xo3ox4xo ..&#x ♦ 24 12 | 24 24 48 24 0 | 8 12 6 0 24 24 24 0 8 6 0 0 | 1 0 0 8 12 0 6 0 0 1 0 0 | * 24 * * * *
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 | * * 96 * * *
xo .. xo3ox&#x ♦ 6 3 | 3 6 12 0 3 | 0 3 0 2 6 0 6 6 0 0 0 1 | 0 1 0 0 3 3 0 0 2 0 0 0 | * * * 96 * *
.. ox4xo3ox&#x ♦ 12 24 | 0 24 48 24 24 | 0 0 6 8 0 24 24 24 0 6 12 8 | 0 0 1 0 0 0 6 12 8 0 0 1 | * * * * 24 *
.o3.x4.o3.x ♦ 0 288 | 0 0 0 576 288 | 0 0 0 0 0 0 0 0 192 144 288 96 | 0 0 0 0 0 0 0 0 0 24 96 24 | * * * * * 1
or o.3o.4o.3o. & | 576 | 2 4 4 | 1 4 2 2 6 6 | 2 2 1 4 5 2 2 | 1 3 3 -----------------+-----+---------------+---------------------------+---------------------------+--------- x. .. .. .. & | 2 | 576 * * | 1 2 0 0 2 0 | 2 1 0 2 2 1 0 | 1 2 2 .. .. x. .. & | 2 | * 1152 * | 0 1 1 1 0 1 | 1 1 1 1 1 0 1 | 1 2 1 oo3oo4oo3oo&#x | 2 | * * 1152 | 0 0 0 0 2 2 | 0 0 0 2 2 1 1 | 0 2 2 -----------------+-----+---------------+---------------------------+---------------------------+--------- x.3o. .. .. & | 3 | 3 0 0 | 192 * * * * * | 2 0 0 2 0 0 0 | 1 2 1 x. .. x. .. & | 4 | 2 2 0 | * 576 * * * * | 1 1 0 0 1 0 0 | 1 1 1 .. o.4x. .. & | 4 | 0 4 0 | * * 288 * * * | 1 0 1 0 0 0 1 | 1 2 0 .. .. x.3o. & | 3 | 0 3 0 | * * * 384 * * | 0 1 1 1 0 0 0 | 1 1 1 xo .. .. ..&#x & | 3 | 1 0 2 | * * * * 1152 * | 0 0 0 1 1 1 0 | 0 1 2 .. ox .. ..&#x & | 3 | 0 1 2 | * * * * * 1152 | 0 0 0 1 1 0 1 | 0 2 1 -----------------+-----+---------------+---------------------------+---------------------------+--------- x.3o.4x. .. & ♦ 24 | 24 24 0 | 8 12 6 0 0 0 | 48 * * * * * * | 1 1 0 x. .. x.3o. & ♦ 6 | 3 6 0 | 0 3 0 2 0 0 | * 192 * * * * * | 1 0 1 .. o.4x.3o. & ♦ 12 | 0 24 0 | 0 0 6 8 0 0 | * * 48 * * * * | 1 1 0 xo3ox .. ..&#x & ♦ 6 | 3 3 6 | 1 0 0 1 3 3 | * * * 384 * * * | 0 1 1 xo .. xo ..&#x & ♦ 5 | 2 2 4 | 0 1 0 0 2 2 | * * * * 576 * * | 0 1 1 xo .. .. ox&#x ♦ 4 | 2 0 4 | 0 0 0 0 4 0 | * * * * * 288 * | 0 0 2 .. ox4xo ..&#x ♦ 8 | 0 8 8 | 0 0 2 0 0 8 | * * * * * * 144 | 0 2 0 -----------------+-----+---------------+---------------------------+---------------------------+--------- x.3o.4x.3o. & ♦ 288 | 288 576 0 | 96 288 144 192 0 0 | 24 96 24 0 0 0 0 | 2 * * xo3ox4xo ..&#x & ♦ 36 | 24 48 48 | 8 12 12 8 24 48 | 1 0 1 8 12 0 6 | * 48 * xo3ox .. ox&#x & ♦ 9 | 6 6 12 | 1 3 0 2 12 6 | 0 1 0 2 3 3 0 | * * 192
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