| Acronym | ..., grix || prix |
| Name | (degenerate) grix atop prix |
| Circumradius | ∞ i.e. flat in euclidean space |
| Face vector | 14400, 46800, 50880, 21120, 2642 |
| 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
xx3xo3xx5ox&#x → height = 0
(grix || prix)
o.3o.3o.5o. | 7200 * | 1 1 2 2 0 0 0 | 1 2 2 1 2 2 2 1 0 0 0 0 0 | 2 1 1 2 2 1 2 1 1 0 0 0 0 | 1 2 1 1 1 0
.o3.o3.o5.o | * 7200 | 0 0 0 2 2 2 1 | 0 0 0 0 2 1 2 2 1 2 2 1 2 | 0 0 0 1 2 2 1 1 2 1 1 2 1 | 0 1 1 2 1 1
---------------+-----------+-------------------------------------+------------------------------------------------------------------+------------------------------------------------------------+---------------------
x. .. .. .. | 2 0 | 3600 * * * * * * | 1 2 0 0 2 0 0 0 0 0 0 0 0 | 2 1 0 2 2 1 0 0 0 0 0 0 0 | 1 2 1 1 0 0
.. x. .. .. | 2 0 | * 3600 * * * * * | 1 0 2 0 0 2 0 0 0 0 0 0 0 | 2 0 1 2 0 0 2 1 0 0 0 0 0 | 1 2 1 0 1 0
.. .. x. .. | 2 0 | * * 7200 * * * * | 0 1 1 1 0 0 1 0 0 0 0 0 0 | 1 1 1 0 1 0 1 0 1 0 0 0 0 | 1 1 0 1 1 0
oo3oo3oo5oo&#x | 1 1 | * * * 14400 * * * | 0 0 0 0 1 1 1 1 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 | * * * * 7200 * * | 0 0 0 0 1 0 0 0 1 1 1 0 0 | 0 0 0 1 1 1 0 0 0 1 1 1 0 | 0 1 1 1 0 1
.. .. .x .. | 0 2 | * * * * * 7200 * | 0 0 0 0 0 0 1 0 0 1 0 1 1 | 0 0 0 0 1 0 1 0 1 1 0 1 1 | 0 1 0 1 1 1
.. .. .. .x | 0 2 | * * * * * * 3600 | 0 0 0 0 0 0 0 2 0 0 2 0 2 | 0 0 0 0 0 2 0 1 2 0 1 2 1 | 0 0 1 2 1 1
---------------+-----------+-------------------------------------+------------------------------------------------------------------+------------------------------------------------------------+---------------------
x.3x. .. .. | 6 0 | 3 3 0 0 0 0 0 | 1200 * * * * * * * * * * * * | 2 0 0 2 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0
x. .. x. .. | 4 0 | 2 0 2 0 0 0 0 | * 3600 * * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0
.. x.3x. .. | 6 0 | 0 3 3 0 0 0 0 | * * 2400 * * * * * * * * * * | 1 0 1 0 0 0 1 0 0 0 0 0 0 | 1 1 0 0 1 0
.. .. x.5o. | 5 0 | 0 0 5 0 0 0 0 | * * * 1440 * * * * * * * * * | 0 1 1 0 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 | * * * * 7200 * * * * * * * * | 0 0 0 1 1 1 0 0 0 0 0 0 0 | 0 1 1 1 0 0
.. xo .. ..&#x | 2 1 | 0 1 0 2 0 0 0 | * * * * * 7200 * * * * * * * | 0 0 0 1 0 0 1 1 0 0 0 0 0 | 0 1 1 0 1 0
.. .. xx ..&#x | 2 2 | 0 0 1 2 0 1 0 | * * * * * * 7200 * * * * * * | 0 0 0 0 1 0 1 0 1 0 0 0 0 | 0 1 0 1 1 0
.. .. .. ox&#x | 1 2 | 0 0 0 2 0 0 1 | * * * * * * * 7200 * * * * * | 0 0 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 1 1 0
.x3.o .. .. | 0 3 | 0 0 0 0 3 0 0 | * * * * * * * * 2400 * * * * | 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 2 0 | * * * * * * * * * 3600 * * * | 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 2 | * * * * * * * * * * 3600 * * | 0 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 1 0 1
.. .o3.x .. | 0 3 | 0 0 0 0 0 3 0 | * * * * * * * * * * * 2400 * | 0 0 0 0 0 0 1 0 0 1 0 0 1 | 0 1 0 0 1 1
.. .. .x5.x | 0 10 | 0 0 0 0 0 5 5 | * * * * * * * * * * * * 1440 | 0 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1
---------------+-----------+-------------------------------------+------------------------------------------------------------------+------------------------------------------------------------+---------------------
x.3x.3x. .. ♦ 24 0 | 12 12 12 0 0 0 0 | 4 6 4 0 0 0 0 0 0 0 0 0 0 | 600 * * * * * * * * * * * * | 1 1 0 0 0 0
x. .. x.5o. ♦ 10 0 | 5 0 10 0 0 0 0 | 0 5 0 2 0 0 0 0 0 0 0 0 0 | * 720 * * * * * * * * * * * | 1 0 0 1 0 0
.. x.3x.5o. ♦ 60 0 | 0 30 60 0 0 0 0 | 0 0 20 12 0 0 0 0 0 0 0 0 0 | * * 120 * * * * * * * * * * | 1 0 0 0 1 0
xx3xo .. ..&#x ♦ 6 3 | 3 3 0 6 3 0 0 | 1 0 0 0 3 3 0 0 1 0 0 0 0 | * * * 2400 * * * * * * * * * | 0 1 1 0 0 0
xx .. xx ..&#x ♦ 4 4 | 2 0 2 4 2 2 0 | 0 1 0 0 2 0 2 0 0 1 0 0 0 | * * * * 3600 * * * * * * * * | 0 1 0 1 0 0
xx .. .. ox&#x ♦ 2 4 | 1 0 0 4 2 0 2 | 0 0 0 0 2 0 0 2 0 0 1 0 0 | * * * * * 3600 * * * * * * * | 0 0 1 1 0 0
.. xo3xx ..&#x ♦ 6 3 | 0 3 3 6 0 3 0 | 0 0 1 0 0 3 3 0 0 0 0 1 0 | * * * * * * 2400 * * * * * * | 0 1 0 0 1 0
.. xo .. ox&#x ♦ 2 2 | 0 1 0 4 0 0 1 | 0 0 0 0 0 2 0 2 0 0 0 0 0 | * * * * * * * 3600 * * * * * | 0 0 1 0 1 0
.. .. xx5ox&#x ♦ 5 10 | 0 0 5 10 0 5 5 | 0 0 0 1 0 0 5 5 0 0 0 0 1 | * * * * * * * * 1440 * * * * | 0 0 0 1 1 0
.x3.o3.x .. ♦ 0 12 | 0 0 0 0 12 12 0 | 0 0 0 0 0 0 0 0 4 6 0 4 0 | * * * * * * * * * 600 * * * | 0 1 0 0 0 1
.x3.o .. .x ♦ 0 6 | 0 0 0 0 6 0 3 | 0 0 0 0 0 0 0 0 2 0 3 0 0 | * * * * * * * * * * 1200 * * | 0 0 1 0 0 1
.x .. .x5.x ♦ 0 20 | 0 0 0 0 10 10 10 | 0 0 0 0 0 0 0 0 0 5 5 0 2 | * * * * * * * * * * * 720 * | 0 0 0 1 0 1
.. .o3.x5.x ♦ 0 60 | 0 0 0 0 0 60 30 | 0 0 0 0 0 0 0 0 0 0 0 20 12 | * * * * * * * * * * * * 120 | 0 0 0 0 1 1
---------------+-----------+-------------------------------------+------------------------------------------------------------------+------------------------------------------------------------+---------------------
x.3x.3x.5o. ♦ 7200 0 | 3600 3600 7200 0 0 0 0 | 1200 3600 2400 1440 0 0 0 0 0 0 0 0 0 | 600 720 120 0 0 0 0 0 0 0 0 0 0 | 1 * * * * *
xx3xo3xx ..&#x ♦ 24 12 | 12 12 12 24 12 12 0 | 4 6 4 0 12 12 12 0 4 6 0 4 0 | 1 0 0 4 6 0 4 0 0 1 0 0 0 | * 600 * * * *
xx3xo .. ox&#x ♦ 6 6 | 3 3 0 12 6 0 3 | 1 0 0 0 6 6 0 6 2 0 3 0 0 | 0 0 0 2 0 3 0 3 0 0 1 0 0 | * * 1200 * * *
xx .. xx5ox&#x ♦ 10 20 | 5 0 10 20 10 10 10 | 0 5 0 2 10 0 10 10 0 5 5 0 2 | 0 1 0 0 5 5 0 0 2 0 0 1 0 | * * * 720 * *
.. xo3xx5ox&#x ♦ 60 60 | 0 30 60 120 0 60 30 | 0 0 20 12 0 60 60 60 0 0 0 20 12 | 0 0 1 0 0 0 20 30 12 0 0 0 1 | * * * * 120 *
.x3.o3.x5.x ♦ 0 7200 | 0 0 0 0 7200 7200 3600 | 0 0 0 0 0 0 0 0 2400 3600 3600 2400 1440 | 0 0 0 0 0 0 0 0 0 600 1200 720 120 | * * * * * 1
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