prismatotruncated-hexadecachoron prism,
runcitruncated-hexadecachoron prism,
central segment of cappin
- uniform relative:
- cappin
- general polytopal classes:
- Wythoffian polytera segmentotera
links
| Acronym | prittip |
| Name |
prismatorhombated-tesseract prism, prismatotruncated-hexadecachoron prism, runcitruncated-hexadecachoron prism, central segment of cappin |
| Circumradius | sqrt[15+6 sqrt(2)]/2 = 2.423081 |
| Coordinates | ((1+2 sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2, 1/2) & all permutations in all but last coord., all changes of sign |
| Face vector | 384, 1152, 1216, 528, 82 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x x3x3o4x . . . . . | 384 | 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 | 192 * * * | 1 2 2 0 0 0 0 0 | 2 2 1 2 1 0 0 0 0 | 1 2 1 1 0 . x . . . | 2 | * 192 * * | 1 0 0 2 2 0 0 0 | 2 2 0 0 0 1 2 1 0 | 1 2 1 0 1 . . x . . | 2 | * * 384 * | 0 1 0 1 0 1 1 0 | 1 0 1 1 0 1 1 0 1 | 1 1 0 1 1 . . . . x | 2 | * * * 384 | 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 | 96 * * * * * * * | 2 2 0 0 0 0 0 0 0 | 1 2 1 0 0 x . x . . | 4 | 2 0 2 0 | * 192 * * * * * * | 1 0 1 1 0 0 0 0 0 | 1 1 0 1 0 x . . . x | 4 | 2 0 0 2 | * * 192 * * * * * | 0 1 0 1 1 0 0 0 0 | 0 1 1 1 0 . x3x . . | 6 | 0 3 3 0 | * * * 128 * * * * | 1 0 0 0 0 1 1 0 0 | 1 1 0 0 1 . x . . x | 4 | 0 2 0 2 | * * * * 192 * * * | 0 1 0 0 0 0 1 1 0 | 0 1 1 0 1 . . x3o . | 3 | 0 0 3 0 | * * * * * 128 * * | 0 0 1 0 0 1 0 0 1 | 1 0 0 1 1 . . x . x | 4 | 0 0 2 2 | * * * * * * 192 * | 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1 . . . o4x | 4 | 0 0 0 4 | * * * * * * * 96 | 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 | 64 * * * * * * * * | 1 1 0 0 0 x x . . x ♦ 8 | 4 4 0 4 | 2 0 2 0 2 0 0 0 | * 96 * * * * * * * | 0 1 1 0 0 x . x3o . ♦ 6 | 3 0 6 0 | 0 3 0 0 0 2 0 0 | * * 64 * * * * * * | 1 0 0 1 0 x . x . x ♦ 8 | 4 0 4 4 | 0 2 2 0 0 0 2 0 | * * * 96 * * * * * | 0 1 0 1 0 x . . o4x ♦ 8 | 4 0 0 8 | 0 0 4 0 0 0 0 2 | * * * * 48 * * * * | 0 0 1 1 0 . x3x3o . ♦ 12 | 0 6 12 0 | 0 0 0 4 0 4 0 0 | * * * * * 32 * * * | 1 0 0 0 1 . x3x . x ♦ 12 | 0 6 6 6 | 0 0 0 2 3 0 3 0 | * * * * * * 64 * * | 0 1 0 0 1 . x . o4x ♦ 8 | 0 4 0 8 | 0 0 0 0 4 0 0 2 | * * * * * * * 48 * | 0 0 1 0 1 . . x3o4x ♦ 24 | 0 0 24 24 | 0 0 0 0 0 8 12 6 | * * * * * * * * 16 | 0 0 0 1 1 ----------+-----+-----------------+-------------------------------+----------------------------+------------- x x3x3o . ♦ 24 | 12 12 24 0 | 6 12 0 8 0 8 0 0 | 4 0 4 0 0 2 0 0 0 | 16 * * * * 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 | * 32 * * * x x . o4x ♦ 16 | 8 8 0 16 | 4 0 8 0 8 0 0 4 | 0 4 0 0 2 0 0 2 0 | * * 24 * * x . x3o4x ♦ 48 | 24 0 48 48 | 0 24 24 0 0 16 24 12 | 0 0 8 12 6 0 0 0 2 | * * * 8 * . x3x3o4x ♦ 192 | 0 96 192 192 | 0 0 0 64 96 64 96 48 | 0 0 0 0 0 16 32 24 8 | * * * * 2 snubbed forms: s2x3x3o4s
xx3xx3oo4xx&#x → height = 1
(prit || prit)
o.3o.3o.4o. | 192 * | 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.o3.o4.o | * 192 | 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 | 96 * * * * * * | 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 | * 192 * * * * * | 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 | * * 192 * * * * | 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
oo3oo3oo4oo&#x | 1 1 | * * * 192 * * * | 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 | * * * * 96 * * | 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 | * * * * * 192 * | 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 | * * * * * * 192 | 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 | 64 * * * * * * * * * * * * | 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 | * 96 * * * * * * * * * * * | 0 1 1 0 0 1 0 0 0 0 0 0 0 | 1 0 1 1 0 0
.. x.3o. .. | 3 0 | 0 3 0 0 0 0 0 | * * 64 * * * * * * * * * * | 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 | * * * 96 * * * * * * * * * | 0 1 0 1 0 0 0 1 0 0 0 0 0 | 1 0 1 0 1 0
.. .. o.4x. | 4 0 | 0 0 4 0 0 0 0 | * * * * 48 * * * * * * * * | 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 | * * * * * 96 * * * * * * * | 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 | * * * * * * 192 * * * * * * | 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 | * * * * * * * 192 * * * * * | 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 | * * * * * * * * 64 * * * * | 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 | * * * * * * * * * 96 * * * | 0 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 1 0 1
.. .x3.o .. | 0 3 | 0 0 0 0 0 3 0 | * * * * * * * * * * 64 * * | 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 | * * * * * * * * * * * 96 * | 0 0 0 0 0 0 0 1 0 0 1 0 1 | 0 0 1 0 1 1
.. .. .o4.x | 0 4 | 0 0 0 0 0 0 4 | * * * * * * * * * * * * 48 | 0 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1
---------------+---------+---------------------------+------------------------------------------+--------------------------------------+---------------
x.3x.3o. .. ♦ 12 0 | 6 12 0 0 0 0 0 | 4 0 4 0 0 0 0 0 0 0 0 0 0 | 16 * * * * * * * * * * * * | 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 | * 32 * * * * * * * * * * * | 1 0 1 0 0 0
x. .. o.4x. ♦ 8 0 | 4 0 8 0 0 0 0 | 0 4 0 0 2 0 0 0 0 0 0 0 0 | * * 24 * * * * * * * * * * | 1 0 0 1 0 0
.. x.3o.4x. ♦ 24 0 | 0 24 24 0 0 0 0 | 0 0 8 12 6 0 0 0 0 0 0 0 0 | * * * 8 * * * * * * * * * | 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 | * * * * 64 * * * * * * * * | 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 | * * * * * 96 * * * * * * * | 0 0 1 1 0 0
.. xx3oo ..&#x ♦ 3 3 | 0 3 0 3 0 3 0 | 0 0 1 0 0 0 3 0 0 0 1 0 0 | * * * * * * 64 * * * * * * | 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 | * * * * * * * 96 * * * * * | 0 0 1 0 1 0
.. .. oo4xx&#x ♦ 4 4 | 0 0 4 4 0 0 4 | 0 0 0 0 1 0 0 4 0 0 0 0 1 | * * * * * * * * 48 * * * * | 0 0 0 1 1 0
.x3.x3.o .. ♦ 0 12 | 0 0 0 0 6 12 0 | 0 0 0 0 0 0 0 0 4 0 4 0 0 | * * * * * * * * * 16 * * * | 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 | * * * * * * * * * * 32 * * | 0 0 1 0 0 1
.x .. .o4.x ♦ 0 8 | 0 0 0 0 4 0 8 | 0 0 0 0 0 0 0 0 0 4 0 0 2 | * * * * * * * * * * * 24 * | 0 0 0 1 0 1
.. .x3.o4.x ♦ 0 24 | 0 0 0 0 0 24 24 | 0 0 0 0 0 0 0 0 0 0 8 12 6 | * * * * * * * * * * * * 8 | 0 0 0 0 1 1
---------------+---------+---------------------------+------------------------------------------+--------------------------------------+---------------
x.3x.3o.4x. ♦ 192 0 | 96 192 192 0 0 0 0 | 64 96 64 96 48 0 0 0 0 0 0 0 0 | 16 32 24 8 0 0 0 0 0 0 0 0 0 | 1 * * * * *
xx3xx3oo ..&#x ♦ 12 12 | 6 12 0 12 6 12 0 | 4 0 4 0 0 6 12 0 4 0 4 0 0 | 1 0 0 0 4 0 4 0 0 1 0 0 0 | * 16 * * * *
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 | * * 32 * * *
xx .. oo4xx&#x ♦ 8 8 | 4 0 8 8 4 0 8 | 0 4 0 0 2 4 0 8 0 4 0 0 2 | 0 0 1 0 0 4 0 0 2 0 0 1 0 | * * * 24 * *
.. xx3oo4xx&#x ♦ 24 24 | 0 24 24 24 0 24 24 | 0 0 8 12 6 0 24 24 0 0 8 12 6 | 0 0 0 1 0 0 8 12 6 0 0 0 1 | * * * * 8 *
.x3.x3.o4.x ♦ 0 192 | 0 0 0 0 96 192 192 | 0 0 0 0 0 0 0 0 64 96 64 96 48 | 0 0 0 0 0 0 0 0 0 16 32 24 8 | * * * * * 1
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