runcitruncated-icositetrachoron prism
- general polytopal classes:
- Wythoffian polytera segmentotera
links
| Acronym | pricope (old: pripe) |
| Name |
prismatorhombated-icositetrachoron prism, runcitruncated-icositetrachoron prism |
| Circumradius | sqrt[33+12 sqrt(2)]/2 = 3.534493 |
| Face vector | 1152, 3456, 3648, 1584, 242 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x x3x4o3x . . . . . | 1152 | 1 1 2 2 | 1 2 2 2 2 1 2 1 | 2 2 1 2 1 1 2 1 1 | 1 2 1 1 1 ----------+------+-------------------+---------------------------------+-----------------------------------+-------------- x . . . . | 2 | 576 * * * | 1 2 2 0 0 0 0 0 | 2 2 1 2 1 0 0 0 0 | 1 2 1 1 0 . x . . . | 2 | * 576 * * | 1 0 0 2 2 0 0 0 | 2 2 0 0 0 1 2 1 0 | 1 2 1 0 1 . . x . . | 2 | * * 1152 * | 0 1 0 1 0 1 1 0 | 1 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . . . x | 2 | * * * 1152 | 0 0 1 0 1 0 1 1 | 0 1 0 1 1 0 1 1 1 | 0 1 1 1 1 ----------+------+-------------------+---------------------------------+-----------------------------------+-------------- x x . . . | 4 | 2 2 0 0 | 288 * * * * * * * | 2 2 0 0 0 0 0 0 0 | 1 2 1 0 0 x . x . . | 4 | 2 0 2 0 | * 576 * * * * * * | 1 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . . x | 4 | 2 0 0 2 | * * 576 * * * * * | 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x3x . . | 6 | 0 3 3 0 | * * * 384 * * * * | 1 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . . x | 4 | 0 2 0 2 | * * * * 576 * * * | 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x4o . | 4 | 0 0 4 0 | * * * * * 288 * * | 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . x | 4 | 0 0 2 2 | * * * * * * 576 * | 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . o3x | 3 | 0 0 0 3 | * * * * * * * 384 | 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1 ----------+------+-------------------+---------------------------------+-----------------------------------+-------------- x x3x . . ♦ 12 | 6 6 6 0 | 3 3 0 2 0 0 0 0 | 192 * * * * * * * * | 1 1 0 0 0 x x . . x ♦ 8 | 4 4 0 4 | 2 0 2 0 2 0 0 0 | * 288 * * * * * * * | 0 1 1 0 0 x . x4o . ♦ 8 | 4 0 8 0 | 0 4 0 0 0 2 0 0 | * * 144 * * * * * * | 1 0 0 1 0 x . x . x ♦ 8 | 4 0 4 4 | 0 2 2 0 0 0 2 0 | * * * 288 * * * * * | 0 1 0 1 0 x . . o3x ♦ 6 | 3 0 0 6 | 0 0 3 0 0 0 0 2 | * * * * 192 * * * * | 0 0 1 1 0 . x3x4o . ♦ 24 | 0 12 24 0 | 0 0 0 8 0 6 0 0 | * * * * * 48 * * * | 1 0 0 0 1 . x3x . x ♦ 12 | 0 6 6 6 | 0 0 0 2 3 0 3 0 | * * * * * * 192 * * | 0 1 0 0 1 . x . o3x ♦ 6 | 0 3 0 6 | 0 0 0 0 3 0 0 2 | * * * * * * * 192 * | 0 0 1 0 1 . . x4o3x ♦ 24 | 0 0 24 24 | 0 0 0 0 0 6 12 8 | * * * * * * * * 48 | 0 0 0 1 1 ----------+------+-------------------+---------------------------------+-----------------------------------+-------------- x x3x4o . ♦ 48 | 24 24 48 0 | 12 24 0 16 0 12 0 0 | 8 0 6 0 0 2 0 0 0 | 24 * * * * x x3x . x ♦ 24 | 12 12 12 12 | 6 6 6 4 6 0 6 0 | 2 3 0 3 0 0 2 0 0 | * 96 * * * x x . o3x ♦ 12 | 6 6 0 12 | 3 0 6 0 6 0 0 4 | 0 3 0 0 2 0 0 2 0 | * * 96 * * x . x4o3x ♦ 48 | 24 0 48 48 | 0 24 24 0 0 12 24 16 | 0 0 6 12 8 0 0 0 2 | * * * 24 * . x3x4o3x ♦ 576 | 0 288 576 576 | 0 0 0 192 288 144 288 192 | 0 0 0 0 0 24 96 96 24 | * * * * 2 snubbed forms: s2s3s4o3x
xx3xx4oo3xx&#x → height = 1
(prico || prico)
o.3o.4o.3o. | 576 * | 1 2 2 1 0 0 0 | 2 2 1 2 1 1 2 2 0 0 0 0 0 | 1 2 1 1 2 2 1 2 1 0 0 0 0 | 1 1 2 1 1 0
.o3.o4.o3.o | * 576 | 0 0 0 1 1 2 2 | 0 0 0 0 0 1 2 2 2 2 1 2 1 | 0 0 0 0 2 2 1 2 1 1 2 1 1 | 0 1 2 1 1 1
---------------+---------+-----------------------------+-----------------------------------------------------+---------------------------------------------+----------------
x. .. .. .. | 2 0 | 288 * * * * * * | 2 2 0 0 0 1 0 0 0 0 0 0 0 | 1 2 1 0 2 2 0 0 0 0 0 0 0 | 1 1 2 1 0 0
.. x. .. .. | 2 0 | * 576 * * * * * | 1 0 1 1 0 0 1 0 0 0 0 0 0 | 1 1 0 1 1 0 1 1 0 0 0 0 0 | 1 1 1 0 1 0
.. .. .. x. | 2 0 | * * 576 * * * * | 0 1 0 1 1 0 0 1 0 0 0 0 0 | 0 1 1 1 0 1 0 1 1 0 0 0 0 | 1 0 1 1 1 0
oo3oo4oo3oo&#x | 1 1 | * * * 576 * * * | 0 0 0 0 0 1 2 2 0 0 0 0 0 | 0 0 0 0 2 2 1 2 1 0 0 0 0 | 0 1 2 1 1 0
.x .. .. .. | 0 2 | * * * * 288 * * | 0 0 0 0 0 1 0 0 2 2 0 0 0 | 0 0 0 0 2 2 0 0 0 1 2 1 0 | 0 1 2 1 0 1
.. .x .. .. | 0 2 | * * * * * 576 * | 0 0 0 0 0 0 1 0 1 0 1 1 0 | 0 0 0 0 1 0 1 1 0 1 1 0 1 | 0 1 1 0 1 1
.. .. .. .x | 0 2 | * * * * * * 576 | 0 0 0 0 0 0 0 1 0 1 0 1 1 | 0 0 0 0 0 1 0 1 1 0 1 1 1 | 0 0 1 1 1 1
---------------+---------+-----------------------------+-----------------------------------------------------+---------------------------------------------+----------------
x.3x. .. .. | 6 0 | 3 3 0 0 0 0 0 | 192 * * * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
x. .. .. x. | 4 0 | 2 0 2 0 0 0 0 | * 288 * * * * * * * * * * * | 0 1 1 0 0 1 0 0 0 0 0 0 0 | 1 0 1 1 0 0
.. x.4o. .. | 4 0 | 0 4 0 0 0 0 0 | * * 144 * * * * * * * * * * | 1 0 0 1 0 0 1 0 0 0 0 0 0 | 1 1 0 0 1 0
.. x. .. x. | 4 0 | 0 2 2 0 0 0 0 | * * * 288 * * * * * * * * * | 0 1 0 1 0 0 0 1 0 0 0 0 0 | 1 0 1 0 1 0
.. .. o.3x. | 3 0 | 0 0 3 0 0 0 0 | * * * * 192 * * * * * * * * | 0 0 1 1 0 0 0 0 1 0 0 0 0 | 1 0 0 1 1 0
xx .. .. ..&#x | 2 2 | 1 0 0 2 1 0 0 | * * * * * 288 * * * * * * * | 0 0 0 0 2 2 0 0 0 0 0 0 0 | 0 1 2 1 0 0
.. xx .. ..&#x | 2 2 | 0 1 0 2 0 1 0 | * * * * * * 576 * * * * * * | 0 0 0 0 1 0 1 1 0 0 0 0 0 | 0 1 1 0 1 0
.. .. .. xx&#x | 2 2 | 0 0 1 2 0 0 1 | * * * * * * * 576 * * * * * | 0 0 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 1 1 0
.x3.x .. .. | 0 6 | 0 0 0 0 3 3 0 | * * * * * * * * 192 * * * * | 0 0 0 0 1 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
.x .. .. .x | 0 4 | 0 0 0 0 2 0 2 | * * * * * * * * * 288 * * * | 0 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 1 0 1
.. .x4.o .. | 0 4 | 0 0 0 0 0 4 0 | * * * * * * * * * * 144 * * | 0 0 0 0 0 0 1 0 0 1 0 0 1 | 0 1 0 0 1 1
.. .x .. .x | 0 4 | 0 0 0 0 0 2 2 | * * * * * * * * * * * 288 * | 0 0 0 0 0 0 0 1 0 0 1 0 1 | 0 0 1 0 1 1
.. .. .o3.x | 0 3 | 0 0 0 0 0 0 3 | * * * * * * * * * * * * 192 | 0 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1
---------------+---------+-----------------------------+-----------------------------------------------------+---------------------------------------------+----------------
x.3x.4o. .. ♦ 24 0 | 12 24 0 0 0 0 0 | 8 0 6 0 0 0 0 0 0 0 0 0 0 | 24 * * * * * * * * * * * * | 1 1 0 0 0 0
x.3x. .. x. ♦ 12 0 | 6 6 6 0 0 0 0 | 2 3 0 3 0 0 0 0 0 0 0 0 0 | * 96 * * * * * * * * * * * | 1 0 1 0 0 0
x. .. o.3x. ♦ 6 0 | 3 0 6 0 0 0 0 | 0 3 0 0 2 0 0 0 0 0 0 0 0 | * * 96 * * * * * * * * * * | 1 0 0 1 0 0
.. x.4o.3x. ♦ 24 0 | 0 24 24 0 0 0 0 | 0 0 6 12 8 0 0 0 0 0 0 0 0 | * * * 24 * * * * * * * * * | 1 0 0 0 1 0
xx3xx .. ..&#x ♦ 6 6 | 3 3 0 6 3 3 0 | 1 0 0 0 0 3 3 0 1 0 0 0 0 | * * * * 192 * * * * * * * * | 0 1 1 0 0 0
xx .. .. xx&#x ♦ 4 4 | 2 0 2 4 2 0 2 | 0 1 0 0 0 2 0 2 0 1 0 0 0 | * * * * * 288 * * * * * * * | 0 0 1 1 0 0
.. xx4oo ..&#x ♦ 4 4 | 0 4 0 4 0 4 0 | 0 0 1 0 0 0 4 0 0 0 1 0 0 | * * * * * * 144 * * * * * * | 0 1 0 0 1 0
.. xx .. xx&#x ♦ 4 4 | 0 2 2 4 0 2 2 | 0 0 0 1 0 0 2 2 0 0 0 1 0 | * * * * * * * 288 * * * * * | 0 0 1 0 1 0
.. .. oo3xx&#x ♦ 3 3 | 0 0 3 3 0 0 3 | 0 0 0 0 1 0 0 3 0 0 0 0 1 | * * * * * * * * 192 * * * * | 0 0 0 1 1 0
.x3.x4.o .. ♦ 0 24 | 0 0 0 0 12 24 0 | 0 0 0 0 0 0 0 0 8 0 6 0 0 | * * * * * * * * * 24 * * * | 0 1 0 0 0 1
.x3.x .. .x ♦ 0 12 | 0 0 0 0 6 6 6 | 0 0 0 0 0 0 0 0 2 3 0 3 0 | * * * * * * * * * * 96 * * | 0 0 1 0 0 1
.x .. .o3.x ♦ 0 6 | 0 0 0 0 3 0 6 | 0 0 0 0 0 0 0 0 0 3 0 0 2 | * * * * * * * * * * * 96 * | 0 0 0 1 0 1
.. .x4.o3.x ♦ 0 24 | 0 0 0 0 0 24 24 | 0 0 0 0 0 0 0 0 0 0 6 12 8 | * * * * * * * * * * * * 24 | 0 0 0 0 1 1
---------------+---------+-----------------------------+-----------------------------------------------------+---------------------------------------------+----------------
x.3x.4o.3x. ♦ 576 0 | 288 576 576 0 0 0 0 | 192 288 144 288 192 0 0 0 0 0 0 0 0 | 24 96 96 24 0 0 0 0 0 0 0 0 0 | 1 * * * * *
xx3xx4oo ..&#x ♦ 24 24 | 12 24 0 24 12 24 0 | 8 0 6 0 0 12 24 0 8 0 6 0 0 | 1 0 0 0 8 0 6 0 0 1 0 0 0 | * 24 * * * *
xx3xx .. xx&#x ♦ 12 12 | 6 6 6 12 6 6 6 | 2 3 0 3 0 6 6 6 2 3 0 3 0 | 0 1 0 0 2 3 0 3 0 0 1 0 0 | * * 96 * * *
xx .. oo3xx&#x ♦ 6 6 | 3 0 6 6 3 0 6 | 0 3 0 0 2 3 0 6 0 3 0 0 2 | 0 0 1 0 0 3 0 0 2 0 0 1 0 | * * * 96 * *
.. xx4oo3xx&#x ♦ 24 24 | 0 24 24 24 0 24 24 | 0 0 6 12 8 0 24 24 0 0 6 12 8 | 0 0 0 1 0 0 6 12 8 0 0 0 1 | * * * * 24 *
.x3.x4.o3.x ♦ 0 576 | 0 0 0 0 288 576 576 | 0 0 0 0 0 0 0 0 192 288 144 288 192 | 0 0 0 0 0 0 0 0 0 24 96 96 24 | * * * * * 1
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