Acronym | ..., grico || gippic |
Name | (degenerate) grico atop gippic |
Circumradius | ∞ i.e. flat in euclidean space |
Face vector | 1728, 4608, 4416, 1776, 242 |
Confer |
|
It either can be thought of as a degenerate 5D segmentotope with zero height, or as a 4D euclidean decomposition of the larger base into smaller bits.
Incidence matrix according to Dynkin symbol
ox3xx4xx3xx&#x → height = 0
(grico || gippic)
o.3o.4o.3o. | 576 * | 2 1 1 2 0 0 0 0 | 1 2 2 1 1 2 2 2 0 0 0 0 0 0 | 1 1 2 1 1 1 2 2 2 0 0 0 0 | 1 1 1 1 2 0
.o3.o4.o3.o | * 1152 | 0 0 0 1 1 1 1 1 | 0 0 0 0 1 1 1 1 1 1 1 1 1 1 | 0 0 0 1 1 1 1 1 1 1 1 1 1 | 0 1 1 1 1 1
---------------+----------+----------------------------------+--------------------------------------------------------+----------------------------------------------+----------------
.. x. .. .. | 2 0 | 576 * * * * * * * | 1 1 1 0 0 1 0 0 0 0 0 0 0 0 | 1 1 1 1 0 0 1 1 0 0 0 0 0 | 1 1 1 0 1 0
.. .. x. .. | 2 0 | * 288 * * * * * * | 0 2 0 1 0 0 2 0 0 0 0 0 0 0 | 1 0 2 0 1 0 2 0 2 0 0 0 0 | 1 1 0 1 2 0
.. .. .. x. | 2 0 | * * 288 * * * * * | 0 0 2 1 0 0 0 2 0 0 0 0 0 0 | 0 1 2 0 0 1 0 2 2 0 0 0 0 | 1 0 1 1 2 0
oo3oo4oo3oo&#x | 1 1 | * * * 1152 * * * * | 0 0 0 0 1 1 1 1 0 0 0 0 0 0 | 0 0 0 1 1 1 1 1 1 0 0 0 0 | 0 1 1 1 1 0
.x .. .. .. | 0 2 | * * * * 576 * * * | 0 0 0 0 1 0 0 0 1 1 1 0 0 0 | 0 0 0 1 1 1 0 0 0 1 1 1 0 | 0 1 1 1 0 1
.. .x .. .. | 0 2 | * * * * * 576 * * | 0 0 0 0 0 1 0 0 1 0 0 1 1 0 | 0 0 0 1 0 0 1 1 0 1 1 0 1 | 0 1 1 0 1 1
.. .. .x .. | 0 2 | * * * * * * 576 * | 0 0 0 0 0 0 1 0 0 1 0 1 0 1 | 0 0 0 0 1 0 1 0 1 1 0 1 1 | 0 1 0 1 1 1
.. .. .. .x | 0 2 | * * * * * * * 576 | 0 0 0 0 0 0 0 1 0 0 1 0 1 1 | 0 0 0 0 0 1 0 1 1 0 1 1 1 | 0 0 1 1 1 1
---------------+----------+----------------------------------+--------------------------------------------------------+----------------------------------------------+----------------
o.3x. .. .. | 3 0 | 3 0 0 0 0 0 0 0 | 192 * * * * * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
.. x.4x. .. | 8 0 | 4 4 0 0 0 0 0 0 | * 144 * * * * * * * * * * * * | 1 0 1 0 0 0 1 0 0 0 0 0 0 | 1 1 0 0 1 0
.. x. .. x. | 4 0 | 2 0 2 0 0 0 0 0 | * * 288 * * * * * * * * * * * | 0 1 1 0 0 0 0 1 0 0 0 0 0 | 1 0 1 0 1 0
.. .. x.3x. | 6 0 | 0 3 3 0 0 0 0 0 | * * * 96 * * * * * * * * * * | 0 0 2 0 0 0 0 0 2 0 0 0 0 | 1 0 0 1 2 0
ox .. .. ..&#x | 1 2 | 0 0 0 2 1 0 0 0 | * * * * 576 * * * * * * * * * | 0 0 0 1 1 1 0 0 0 0 0 0 0 | 0 1 1 1 0 0
.. xx .. ..&#x | 2 2 | 1 0 0 2 0 1 0 0 | * * * * * 576 * * * * * * * * | 0 0 0 1 0 0 1 1 0 0 0 0 0 | 0 1 1 0 1 0
.. .. xx ..&#x | 2 2 | 0 1 0 2 0 0 1 0 | * * * * * * 576 * * * * * * * | 0 0 0 0 1 0 1 0 1 0 0 0 0 | 0 1 0 1 1 0
.. .. .. xx&#x | 2 2 | 0 0 1 2 0 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 0 | * * * * * * * * 192 * * * * * | 0 0 0 1 0 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 0 | * * * * * * * * * 288 * * * * | 0 0 0 0 1 0 0 0 0 1 0 1 0 | 0 1 0 1 0 1
.x .. .. .x | 0 4 | 0 0 0 0 2 0 0 2 | * * * * * * * * * * 288 * * * | 0 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 1 0 1
.. .x4.x .. | 0 8 | 0 0 0 0 0 4 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 0 2 | * * * * * * * * * * * * 288 * | 0 0 0 0 0 0 0 1 0 0 1 0 1 | 0 0 1 0 1 1
.. .. .x3.x | 0 6 | 0 0 0 0 0 0 3 3 | * * * * * * * * * * * * * 192 | 0 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1
---------------+----------+----------------------------------+--------------------------------------------------------+----------------------------------------------+----------------
o.3x.4x. .. ♦ 24 0 | 24 12 0 0 0 0 0 0 | 8 6 0 0 0 0 0 0 0 0 0 0 0 0 | 24 * * * * * * * * * * * * | 1 1 0 0 0 0
o.3x. .. x. ♦ 6 0 | 6 0 3 0 0 0 0 0 | 2 0 3 0 0 0 0 0 0 0 0 0 0 0 | * 96 * * * * * * * * * * * | 1 0 1 0 0 0
.. x.4x.3x. ♦ 48 0 | 24 24 24 0 0 0 0 0 | 0 6 12 8 0 0 0 0 0 0 0 0 0 0 | * * 24 * * * * * * * * * * | 1 0 0 0 1 0
ox3xx .. ..&#x ♦ 3 6 | 3 0 0 6 3 3 0 0 | 1 0 0 0 3 3 0 0 1 0 0 0 0 0 | * * * 192 * * * * * * * * * | 0 1 1 0 0 0
ox .. xx ..&#x ♦ 2 4 | 0 1 0 4 2 0 2 0 | 0 0 0 0 2 0 2 0 0 1 0 0 0 0 | * * * * 288 * * * * * * * * | 0 1 0 1 0 0
ox .. .. xx&#x ♦ 2 4 | 0 0 1 4 2 0 0 2 | 0 0 0 0 2 0 0 2 0 0 1 0 0 0 | * * * * * 288 * * * * * * * | 0 0 1 1 0 0
.. xx4xx ..&#x ♦ 8 8 | 4 4 0 8 0 4 4 0 | 0 1 0 0 0 4 4 0 0 0 0 1 0 0 | * * * * * * 144 * * * * * * | 0 1 0 0 1 0
.. xx .. xx&#x ♦ 4 4 | 2 0 2 4 0 2 0 2 | 0 0 1 0 0 2 0 2 0 0 0 0 1 0 | * * * * * * * 288 * * * * * | 0 0 1 0 1 0
.. .. xx3xx&#x ♦ 6 6 | 0 3 3 6 0 0 3 3 | 0 0 0 1 0 0 3 3 0 0 0 0 0 1 | * * * * * * * * 192 * * * * | 0 0 0 1 1 0
.x3.x4.x .. ♦ 0 48 | 0 0 0 0 24 24 24 0 | 0 0 0 0 0 0 0 0 8 12 0 6 0 0 | * * * * * * * * * 24 * * * | 0 1 0 0 0 1
.x3.x .. .x ♦ 0 12 | 0 0 0 0 6 6 0 6 | 0 0 0 0 0 0 0 0 2 0 3 0 3 0 | * * * * * * * * * * 96 * * | 0 0 1 0 0 1
.x .. .x3.x ♦ 0 12 | 0 0 0 0 6 0 6 6 | 0 0 0 0 0 0 0 0 0 3 3 0 0 2 | * * * * * * * * * * * 96 * | 0 0 0 1 0 1
.. .x4.x3.x ♦ 0 48 | 0 0 0 0 0 24 24 24 | 0 0 0 0 0 0 0 0 0 0 0 6 12 8 | * * * * * * * * * * * * 24 | 0 0 0 0 1 1
---------------+----------+----------------------------------+--------------------------------------------------------+----------------------------------------------+----------------
o.3x.4x.3x. ♦ 576 0 | 576 288 288 0 0 0 0 0 | 192 144 288 96 0 0 0 0 0 0 0 0 0 0 | 24 96 24 0 0 0 0 0 0 0 0 0 0 | 1 * * * * *
ox3xx4xx ..&#x ♦ 24 48 | 24 12 0 48 24 24 24 0 | 8 6 0 0 24 24 24 0 8 12 0 6 0 0 | 1 0 0 8 12 0 6 0 0 1 0 0 0 | * 24 * * * *
ox3xx .. xx&#x ♦ 6 12 | 6 0 3 12 6 6 0 6 | 2 0 3 0 6 6 0 6 2 0 3 0 3 0 | 0 1 0 2 0 3 0 3 0 0 1 0 0 | * * 96 * * *
ox .. xx3xx&#x ♦ 6 12 | 0 3 3 12 6 0 6 6 | 0 0 0 1 6 0 6 6 0 3 3 0 0 2 | 0 0 0 0 3 3 0 0 2 0 0 1 0 | * * * 96 * *
.. xx4xx3xx&#x ♦ 48 48 | 24 24 24 48 0 24 24 24 | 0 6 12 8 0 24 24 24 0 0 0 6 12 8 | 0 0 1 0 0 0 6 12 8 0 0 0 1 | * * * * 24 *
.x3.x4.x3.x ♦ 0 1152 | 0 0 0 0 576 576 576 576 | 0 0 0 0 0 0 0 0 192 288 288 144 288 192 | 0 0 0 0 0 0 0 0 0 24 96 96 24 | * * * * * 1
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