central segment of prin
- uniform relative:
- prin
- general polytopal classes:
- Wythoffian polytera segmentotera
links
| Acronym | grittip |
| Name |
truncated-tesseract prism, central segment of prin |
| Circumradius | sqrt[23+10 sqrt(2)]/2 = 3.047217 |
| Coordinates | ((1+2 sqrt(2))/2, (1+2 sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2) & all permutations in all but last coord., all changes of sign |
| Face vector | 384, 960, 880, 360, 58 |
| Confer |
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External links |
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Incidence matrix according to Dynkin symbol
x o3x3x4x . . . . . | 384 | 1 2 1 1 | 2 1 1 1 2 2 1 | 1 2 2 1 1 1 2 | 1 1 2 1 ----------+-----+-----------------+--------------------------+----------------------+---------- x . . . . | 2 | 192 * * * | 2 1 1 0 0 0 0 | 1 2 2 1 0 0 0 | 1 1 2 0 . . x . . | 2 | * 384 * * | 1 0 0 1 1 1 0 | 1 1 1 0 1 1 1 | 1 1 1 1 . . . x . | 2 | * * 192 * | 0 1 0 0 2 0 1 | 0 2 0 1 1 0 2 | 1 0 2 1 . . . . x | 2 | * * * 192 | 0 0 1 0 0 2 1 | 0 0 2 1 0 1 2 | 0 1 2 1 ----------+-----+-----------------+--------------------------+----------------------+---------- x . x . . | 4 | 2 2 0 0 | 192 * * * * * * | 1 1 1 0 0 0 0 | 1 1 1 0 x . . x . | 4 | 2 0 2 0 | * 96 * * * * * | 0 2 0 1 0 0 0 | 1 0 2 0 x . . . x | 4 | 2 0 0 2 | * * 96 * * * * | 0 0 2 1 0 0 0 | 0 1 2 0 . o3x . . | 3 | 0 3 0 0 | * * * 128 * * * | 1 0 0 0 1 1 0 | 1 1 0 1 . . x3x . | 6 | 0 3 3 0 | * * * * 128 * * | 0 1 0 0 1 0 1 | 1 0 1 1 . . x . x | 4 | 0 2 0 2 | * * * * * 192 * | 0 0 1 0 0 1 1 | 0 1 1 1 . . . x4x | 8 | 0 0 4 4 | * * * * * * 48 | 0 0 0 1 0 0 2 | 0 0 2 1 ----------+-----+-----------------+--------------------------+----------------------+---------- x o3x . . ♦ 6 | 3 6 0 0 | 3 0 0 2 0 0 0 | 64 * * * * * * | 1 1 0 0 x . x3x . ♦ 12 | 6 6 6 0 | 3 3 0 0 2 0 0 | * 64 * * * * * | 1 0 1 0 x . x . x ♦ 8 | 4 4 0 4 | 2 0 2 0 0 2 0 | * * 96 * * * * | 0 1 1 0 x . . x4x ♦ 16 | 8 0 8 8 | 0 4 4 0 0 0 2 | * * * 24 * * * | 0 0 2 0 . o3x3x . ♦ 12 | 0 12 6 0 | 0 0 0 4 4 0 0 | * * * * 32 * * | 1 0 0 1 . o3x . x ♦ 6 | 0 6 0 3 | 0 0 0 2 0 3 0 | * * * * * 64 * | 0 1 0 1 . . x3x4x ♦ 48 | 0 24 24 24 | 0 0 0 0 8 12 6 | * * * * * * 16 | 0 0 1 1 ----------+-----+-----------------+--------------------------+----------------------+---------- x o3x3x . ♦ 24 | 12 24 12 0 | 12 6 0 8 8 0 0 | 4 4 0 0 2 0 0 | 16 * * * x o3x . x ♦ 12 | 6 12 0 6 | 6 0 3 4 0 6 0 | 2 0 3 0 0 2 0 | * 32 * * x . x3x4x ♦ 96 | 48 48 48 48 | 24 24 24 0 16 24 12 | 0 8 12 6 0 0 2 | * * 8 * . o3x3x4x ♦ 192 | 0 192 96 96 | 0 0 0 64 64 96 24 | 0 0 0 0 16 32 8 | * * * 2
oo3xx3xx4xx&#x → height = 1
(grit || grit)
o.3o.3o.4o. | 192 * | 2 1 1 1 0 0 0 | 1 2 2 1 2 1 1 0 0 0 0 | 1 1 2 1 2 2 1 0 0 0 | 1 1 1 2 0
.o3.o3.o4.o | * 192 | 0 0 0 1 2 1 1 | 0 0 0 0 2 1 1 1 2 2 1 | 0 0 0 1 2 2 1 1 1 2 | 0 1 1 2 1
---------------+---------+-------------------------+-----------------------------------+-----------------------------+------------
.. x. .. .. | 2 0 | 192 * * * * * * | 1 1 1 0 1 0 0 0 0 0 0 | 1 1 1 1 1 1 0 0 0 0 | 1 1 1 1 0
.. .. x. .. | 2 0 | * 96 * * * * * | 0 2 0 1 0 1 0 0 0 0 0 | 1 0 2 2 0 1 0 0 0 0 | 1 1 0 2 0
.. .. .. x. | 2 0 | * * 96 * * * * | 0 0 2 1 0 0 1 0 0 0 0 | 0 1 2 0 0 2 1 0 0 0 | 1 0 1 2 0
oo3oo3oo4oo&#x | 1 1 | * * * 192 * * * | 0 0 0 0 2 1 1 0 0 0 0 | 0 0 0 1 2 2 1 0 0 0 | 0 1 1 2 0
.. .x .. .. | 0 2 | * * * * 192 * * | 0 0 0 0 1 0 0 1 1 1 0 | 0 0 0 1 1 1 0 1 1 1 | 0 1 1 1 1
.. .. .x .. | 0 2 | * * * * * 96 * | 0 0 0 0 0 1 0 0 2 0 1 | 0 0 0 2 0 1 0 1 0 2 | 0 1 0 2 1
.. .. .. .x | 0 2 | * * * * * * 96 | 0 0 0 0 0 0 1 0 0 2 1 | 0 0 0 0 0 2 1 0 1 2 | 0 0 1 2 1
---------------+---------+-------------------------+-----------------------------------+-----------------------------+------------
o.3x. .. .. | 3 0 | 3 0 0 0 0 0 0 | 64 * * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 | 1 1 1 0 0
.. x.3x. .. | 6 0 | 3 3 0 0 0 0 0 | * 64 * * * * * * * * * | 1 0 1 0 1 0 0 0 0 0 | 1 1 0 1 0
.. x. .. x. | 4 0 | 2 0 2 0 0 0 0 | * * 96 * * * * * * * * | 0 1 1 0 0 1 0 0 0 0 | 1 0 1 1 0
.. .. x.4x. | 8 0 | 0 4 4 0 0 0 0 | * * * 24 * * * * * * * | 0 0 2 0 0 0 1 0 0 0 | 1 0 0 2 0
.. xx .. ..&#x | 2 2 | 1 0 0 2 1 0 0 | * * * * 192 * * * * * * | 0 0 0 1 1 1 0 0 0 0 | 0 1 1 1 0
.. .. xx ..&#x | 2 2 | 0 1 0 2 0 1 0 | * * * * * 96 * * * * * | 0 0 0 2 0 1 0 0 0 0 | 0 1 0 2 0
.. .. .. xx&#x | 2 2 | 0 0 1 2 0 0 1 | * * * * * * 96 * * * * | 0 0 0 0 0 2 1 0 0 0 | 0 0 1 2 0
.o3.x .. .. | 0 3 | 0 0 0 0 3 0 0 | * * * * * * * 64 * * * | 0 0 0 1 0 0 0 1 1 0 | 0 1 1 0 1
.. .x3.x .. | 0 6 | 0 0 0 0 3 3 0 | * * * * * * * * 64 * * | 0 0 0 0 1 0 0 1 0 1 | 0 1 0 1 1
.. .x .. .x | 0 4 | 0 0 0 0 2 0 2 | * * * * * * * * * 96 * | 0 0 0 0 0 1 0 0 1 1 | 0 0 1 1 1
.. .. .x4.x | 0 8 | 0 0 0 0 0 4 4 | * * * * * * * * * * 24 | 0 0 0 0 0 0 1 0 0 2 | 0 0 0 2 1
---------------+---------+-------------------------+-----------------------------------+-----------------------------+------------
o.3x.3x. .. ♦ 12 0 | 12 6 0 0 0 0 0 | 4 4 0 0 0 0 0 0 0 0 0 | 16 * * * * * * * * * | 1 1 0 0 0
o.3x. .. x. ♦ 6 0 | 6 0 3 0 0 0 0 | 2 0 3 0 0 0 0 0 0 0 0 | * 32 * * * * * * * * | 1 0 1 0 0
.. x.3x.4x. ♦ 48 0 | 24 24 24 0 0 0 0 | 0 8 12 6 0 0 0 0 0 0 0 | * * 8 * * * * * * * | 1 0 0 1 0
oo3xx .. ..&#x ♦ 3 3 | 3 0 0 3 3 0 0 | 1 0 0 0 3 0 0 1 0 0 0 | * * * 64 * * * * * * | 0 1 1 0 0
.. xx3xx ..&#x ♦ 6 6 | 3 3 0 6 3 3 0 | 0 1 0 0 3 3 0 0 1 0 0 | * * * * 64 * * * * * | 0 1 0 1 0
.. xx .. xx&#x ♦ 4 4 | 2 0 2 4 2 0 2 | 0 0 1 0 2 0 2 0 0 1 0 | * * * * * 96 * * * * | 0 0 1 1 0
.. .. xx4xx&#x ♦ 8 8 | 0 4 4 8 0 4 4 | 0 0 0 1 0 4 4 0 0 0 1 | * * * * * * 24 * * * | 0 0 0 2 0
.o3.x3.x .. ♦ 0 12 | 0 0 0 0 12 6 0 | 0 0 0 0 0 0 0 4 4 0 0 | * * * * * * * 16 * * | 0 1 0 0 1
.o3.x .. .x ♦ 0 6 | 0 0 0 0 6 0 3 | 0 0 0 0 0 0 0 2 0 3 0 | * * * * * * * * 32 * | 0 0 1 0 1
.. .x3.x4.x ♦ 0 48 | 0 0 0 0 24 24 24 | 0 0 0 0 0 0 0 0 8 12 6 | * * * * * * * * * 8 | 0 0 0 1 1
---------------+---------+-------------------------+-----------------------------------+-----------------------------+------------
o.3x.3x.4x. ♦ 192 0 | 192 96 96 0 0 0 0 | 64 64 96 24 0 0 0 0 0 0 0 | 16 32 8 0 0 0 0 0 0 0 | 1 * * * *
oo3xx3xx ..&#x ♦ 12 12 | 12 6 0 12 12 6 0 | 4 4 0 0 12 6 0 4 4 0 0 | 1 0 0 4 4 0 0 1 0 0 | * 16 * * *
oo3xx .. xx&#x ♦ 6 6 | 6 0 3 6 6 0 3 | 2 0 3 0 6 0 3 2 0 3 0 | 0 1 0 2 0 3 0 0 1 0 | * * 32 * *
.. xx3xx4xx&#x ♦ 48 48 | 24 24 24 48 24 24 24 | 0 8 12 6 24 24 24 0 8 12 6 | 0 0 1 0 8 12 6 0 0 1 | * * * 8 *
.o3.x3.x4.x ♦ 0 192 | 0 0 0 0 192 96 96 | 0 0 0 0 0 0 0 64 64 96 24 | 0 0 0 0 0 0 0 16 32 8 | * * * * 1
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