Acronym | rapalprip, rap || inv prip |
Name | (degenerate) rap atop inverted prip |
Circumradius | ∞ i.e. flat in euclidean space |
Face vector | 70, 240, 300, 160, 32 |
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
ox3xx3oo3ox&#x → height = 0
(rap || inv prip)
o.3o.3o.3o. | 10 * | 6 6 0 0 0 | 3 6 3 12 6 0 0 0 0 0 | 3 2 6 3 6 6 2 0 0 0 0 | 1 3 3 1 2 0
.o3.o3.o3.o | * 60 | 0 1 1 2 2 | 0 0 1 2 2 2 2 1 2 1 | 0 0 2 2 1 2 1 1 2 1 1 | 0 1 2 1 1 1
---------------+-------+----------------+-------------------------------+------------------------------+--------------
.. x. .. .. | 2 0 | 30 * * * * | 1 2 0 2 0 0 0 0 0 0 | 2 1 2 0 2 1 0 0 0 0 0 | 1 2 1 0 1 0
oo3oo3oo3oo&#x | 1 1 | * 60 * * * | 0 0 1 2 2 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 | * * 30 * * | 0 0 1 0 0 2 2 0 0 0 | 0 0 2 2 0 0 0 1 2 1 0 | 0 1 2 1 0 1
.. .x .. .. | 0 2 | * * * 60 * | 0 0 0 1 0 1 0 1 1 0 | 0 0 1 0 1 1 0 1 1 0 1 | 0 1 1 0 1 1
.. .. .. .x | 0 2 | * * * * 60 | 0 0 0 0 1 0 1 0 1 1 | 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 | 10 * * * * * * * * * | 2 0 2 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0
.. x.3o. .. | 3 0 | 3 0 0 0 0 | * 20 * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 | 1 1 0 0 1 0
ox .. .. ..&#x | 1 2 | 0 2 1 0 0 | * * 30 * * * * * * * | 0 0 2 2 0 0 0 0 0 0 0 | 0 1 2 1 0 0
.. xx .. ..&#x | 2 2 | 1 2 0 1 0 | * * * 60 * * * * * * | 0 0 1 0 1 1 0 0 0 0 0 | 0 1 1 0 1 0
.. .. .. ox&#x | 1 2 | 0 2 0 0 1 | * * * * 60 * * * * * | 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 1 1 0
.x3.x .. .. | 0 6 | 0 0 3 3 0 | * * * * * 20 * * * * | 0 0 1 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
.x .. .. .x | 0 4 | 0 0 2 0 2 | * * * * * * 30 * * * | 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 1 0 1
.. .x3.o .. | 0 3 | 0 0 0 3 0 | * * * * * * * 20 * * | 0 0 0 0 1 0 0 1 0 0 1 | 0 1 0 0 1 1
.. .x .. .x | 0 4 | 0 0 0 2 2 | * * * * * * * * 30 * | 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 3 | * * * * * * * * * 20 | 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1
---------------+-------+----------------+-------------------------------+------------------------------+--------------
o.3x.3o. .. ♦ 6 0 | 12 0 0 0 0 | 4 4 0 0 0 0 0 0 0 0 | 5 * * * * * * * * * * | 1 1 0 0 0 0
.. x.3o.3o. ♦ 4 0 | 6 0 0 0 0 | 0 4 0 0 0 0 0 0 0 0 | * 5 * * * * * * * * * | 1 0 0 0 1 0
ox3xx .. ..&#x ♦ 3 6 | 3 6 3 3 0 | 1 0 3 3 0 1 0 0 0 0 | * * 20 * * * * * * * * | 0 1 1 0 0 0
ox .. .. ox&#x ♦ 1 4 | 0 4 2 0 2 | 0 0 2 0 2 0 1 0 0 0 | * * * 30 * * * * * * * | 0 0 1 1 0 0
.. xx3oo ..&#x ♦ 3 3 | 3 3 0 3 0 | 0 1 0 3 0 0 0 1 0 0 | * * * * 20 * * * * * * | 0 1 0 0 1 0
.. xx .. ox&#x ♦ 2 4 | 1 4 0 2 2 | 0 0 0 2 2 0 0 0 1 0 | * * * * * 30 * * * * * | 0 0 1 0 1 0
.. .. oo3ox&#x ♦ 1 3 | 0 3 0 0 3 | 0 0 0 0 3 0 0 0 0 1 | * * * * * * 20 * * * * | 0 0 0 1 1 0
.x3.x3.o .. ♦ 0 12 | 0 0 6 12 0 | 0 0 0 0 0 4 0 4 0 0 | * * * * * * * 5 * * * | 0 1 0 0 0 1
.x3.x .. .x ♦ 0 12 | 0 0 6 6 6 | 0 0 0 0 0 2 3 0 3 0 | * * * * * * * * 10 * * | 0 0 1 0 0 1
.x .. .o3.x ♦ 0 6 | 0 0 3 0 6 | 0 0 0 0 0 0 3 0 0 2 | * * * * * * * * * 10 * | 0 0 0 1 0 1
.. .x3.o3.x ♦ 0 12 | 0 0 0 12 12 | 0 0 0 0 0 0 0 4 6 4 | * * * * * * * * * * 5 | 0 0 0 0 1 1
---------------+-------+----------------+-------------------------------+------------------------------+--------------
o.3x.3o.3o. ♦ 10 0 | 30 0 0 0 0 | 10 20 0 0 0 0 0 0 0 0 | 5 5 0 0 0 0 0 0 0 0 0 | 1 * * * * *
ox3xx3oo ..&#x ♦ 6 12 | 12 12 6 12 0 | 4 4 6 12 0 4 0 4 0 0 | 1 0 4 0 4 0 0 1 0 0 0 | * 5 * * * *
ox3xx .. ox&#x ♦ 3 12 | 3 12 6 6 6 | 1 0 6 6 6 2 3 0 3 0 | 0 0 2 3 0 3 0 0 1 0 0 | * * 10 * * *
ox .. oo3ox&#x ♦ 1 6 | 0 6 3 0 6 | 0 0 3 0 6 0 3 0 0 2 | 0 0 0 3 0 0 2 0 0 1 0 | * * * 10 * *
.. xx3oo3ox&#x ♦ 4 12 | 6 12 0 12 12 | 0 4 0 12 12 0 0 4 6 4 | 0 1 0 0 4 6 4 0 0 0 1 | * * * * 5 *
.x3.x3.o3.x ♦ 0 60 | 0 0 30 60 60 | 0 0 0 0 0 20 30 20 30 20 | 0 0 0 0 0 0 0 5 10 10 5 | * * * * * 1
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