Acronym | pricoa (old: pricoalprico) |
Name |
prismatorhombated-icositetrachoron alterprism, prismatorhombated-icositetrachoron atop alternate prismatorhombated-icositetrachoron |
Circumradius | sqrt[27+16 sqrt(2)]/2 = 3.522336 |
Face vector | 1152, 4032, 4512, 1872, 242 |
Confer |
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External links |
Incidence matrix according to Dynkin symbol
xx3xo4ox3xx&#x → height = sqrt[4 sqrt(2)-5] = 0.810465
(prico || alt. prico)
o.3o.4o.3o. & | 1152 | 1 2 2 2 | 2 2 1 2 1 4 3 | 1 2 1 1 3 3 2 1 | 1 2 3
-----------------+------+--------------------+-------------------------------+-------------------------------+---------
x. .. .. .. & | 2 | 576 * * * | 2 2 0 0 0 2 0 | 1 2 1 0 2 1 2 0 | 1 1 3
.. x. .. .. & | 2 | * 1152 * * | 1 0 1 1 0 0 1 | 1 1 0 1 1 1 0 1 | 1 2 1
.. .. .. x. & | 2 | * * 1152 * | 0 1 0 1 1 1 0 | 0 1 1 1 1 1 1 0 | 1 1 2
oo3oo4oo3oo&#x | 2 | * * * 1152 | 0 0 0 0 0 2 2 | 0 0 0 0 2 2 1 1 | 0 2 2
-----------------+------+--------------------+-------------------------------+-------------------------------+---------
x.3x. .. .. & | 6 | 3 3 0 0 | 384 * * * * * * | 1 1 0 0 1 0 0 0 | 1 1 1
x. .. .. x. & | 4 | 2 0 2 0 | * 576 * * * * * | 0 1 1 0 0 0 1 0 | 1 0 2
.. x.4o. .. & | 4 | 0 4 0 0 | * * 288 * * * * | 1 0 0 1 0 0 0 1 | 1 2 0
.. x. .. x. & | 4 | 0 2 2 0 | * * * 576 * * * | 0 1 0 1 0 1 0 0 | 1 1 1
.. .. o.3x. & | 3 | 0 0 3 0 | * * * * 384 * * | 0 0 1 1 1 0 0 0 | 1 1 1
xx .. .. ..&#x & | 4 | 1 0 1 2 | * * * * * 1152 * | 0 0 0 0 1 1 1 0 | 0 1 2
.. xo .. ..&#x & | 3 | 0 1 0 2 | * * * * * * 1152 | 0 0 0 0 1 1 0 1 | 0 2 1
-----------------+------+--------------------+-------------------------------+-------------------------------+---------
x.3x.4o. .. & ♦ 24 | 12 24 0 0 | 8 0 6 0 0 0 0 | 48 * * * * * * * | 1 1 0
x.3x. .. x. & ♦ 12 | 6 6 6 0 | 2 3 0 3 0 0 0 | * 192 * * * * * * | 1 0 1
x. .. o.3x. & ♦ 6 | 3 0 6 0 | 0 3 0 0 2 0 0 | * * 192 * * * * * | 1 0 1
.. x.4o.3x. & ♦ 24 | 0 24 24 0 | 0 0 6 12 8 0 0 | * * * 48 * * * * | 1 1 0
xx3xo .. ..&#x & ♦ 9 | 3 3 3 6 | 1 0 0 0 1 3 3 | * * * * 384 * * * | 0 1 1
xx .. ox ..&#x & ♦ 6 | 1 2 2 4 | 0 0 0 1 0 2 2 | * * * * * 576 * * | 0 1 1
xx .. .. xx&#x ♦ 8 | 4 0 4 4 | 0 2 0 0 0 4 0 | * * * * * * 288 * | 0 0 2
.. xo4ox ..&#x ♦ 8 | 0 8 0 8 | 0 0 2 0 0 0 8 | * * * * * * * 144 | 0 2 0
-----------------+------+--------------------+-------------------------------+-------------------------------+---------
x.3x.4o.3x. & ♦ 576 | 288 576 576 0 | 192 288 144 288 192 0 0 | 24 96 96 24 0 0 0 0 | 2 * *
xx3xo4ox ..&#x & ♦ 48 | 12 48 24 48 | 8 0 12 12 8 24 48 | 1 0 0 1 8 12 0 6 | * 48 *
xx3xo .. xx&#x & ♦ 18 | 9 6 12 12 | 2 6 0 3 2 12 6 | 0 1 1 0 2 3 3 0 | * * 192
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