| Acronym | sirnaprin, sirn || prin |
| Name | (degenerate) sirn atop prin |
| Circumradius | ∞ i.e. flat in euclidean space |
| Face vector | 1280, 5120, 7360, 4880, 1564, 204 |
| Confer |
|
It either can be thought of as a degenerate 6D segmentotope with zero height, or as a 5D euclidean decomposition of the larger base into smaller bits.
Incidence matrix according to Dynkin symbol
oo3ox3xx3oo4xx&#x → height = 0
(sirn || prin)
o.3o.3o.3o.4o. | 320 * | 6 2 3 0 0 0 | 6 3 6 1 3 6 6 0 0 0 0 0 0 | 2 3 6 3 1 6 6 3 6 3 0 0 0 0 0 0 | 1 2 3 2 2 3 6 3 3 0 0 0 0 | 1 1 2 1 3 0
.o3.o3.o3.o4.o | * 960 | 0 0 1 2 2 2 | 0 0 0 0 2 2 2 1 4 4 1 2 1 | 0 0 0 0 1 4 4 1 2 1 2 2 2 4 2 1 | 0 0 0 2 2 2 4 2 1 1 2 1 2 | 0 1 2 1 2 1
------------------+---------+-------------------------+----------------------------------------------------+---------------------------------------------------------------+---------------------------------------------+----------------
.. .. x. .. .. | 2 0 | 960 * * * * * | 2 1 1 0 0 1 0 0 0 0 0 0 0 | 1 2 2 1 0 2 0 1 1 0 0 0 0 0 0 0 | 1 1 2 1 0 2 2 0 1 0 0 0 0 | 1 1 1 0 2 0
.. .. .. .. x. | 2 0 | * 320 * * * * | 0 0 3 1 0 0 3 0 0 0 0 0 0 | 0 0 3 3 0 0 3 0 3 3 0 0 0 0 0 0 | 0 1 3 0 1 0 3 3 3 0 0 0 0 | 1 0 1 1 3 0
oo3oo3oo3oo4oo&#x | 1 1 | * * 960 * * * | 0 0 0 0 2 2 2 0 0 0 0 0 0 | 0 0 0 0 1 4 4 1 2 1 0 0 0 0 0 0 | 0 0 0 2 2 2 4 2 1 0 0 0 0 | 0 1 2 1 2 0
.. .x .. .. .. | 0 2 | * * * 960 * * | 0 0 0 0 1 0 0 1 2 2 0 0 0 | 0 0 0 0 1 2 2 0 0 0 2 2 1 2 1 0 | 0 0 0 2 2 1 2 1 0 1 2 1 1 | 0 1 2 1 1 1
.. .. .x .. .. | 0 2 | * * * * 960 * | 0 0 0 0 0 1 0 0 2 0 1 1 0 | 0 0 0 0 0 2 0 1 1 0 1 0 2 2 0 1 | 0 0 0 1 0 2 2 0 1 1 1 0 2 | 0 1 1 0 2 1
.. .. .. .. .x | 0 2 | * * * * * 960 | 0 0 0 0 0 0 1 0 0 2 0 1 1 | 0 0 0 0 0 0 2 0 1 1 0 1 0 2 2 1 | 0 0 0 0 1 0 2 2 1 0 1 1 2 | 0 0 1 1 2 1
------------------+---------+-------------------------+----------------------------------------------------+---------------------------------------------------------------+---------------------------------------------+----------------
.. o.3x. .. .. | 3 0 | 3 0 0 0 0 0 | 640 * * * * * * * * * * * * | 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 | 1 1 1 1 0 1 1 0 0 0 0 0 0 | 1 1 1 0 1 0
.. .. x.3o. .. | 3 0 | 3 0 0 0 0 0 | * 320 * * * * * * * * * * * | 0 2 0 1 0 0 0 1 0 0 0 0 0 0 0 0 | 1 0 2 0 0 2 0 0 1 0 0 0 0 | 1 1 0 0 2 0
.. .. x. .. x. | 4 0 | 2 2 0 0 0 0 | * * 480 * * * * * * * * * * | 0 0 2 1 0 0 0 0 1 0 0 0 0 0 0 0 | 0 1 2 0 0 0 2 0 1 0 0 0 0 | 1 0 1 0 2 0
.. .. .. o.4x. | 4 0 | 0 4 0 0 0 0 | * * * 80 * * * * * * * * * | 0 0 0 3 0 0 0 0 0 3 0 0 0 0 0 0 | 0 0 3 0 0 0 0 3 3 0 0 0 0 | 1 0 0 1 3 0
.. ox .. .. ..&#x | 1 2 | 0 0 2 1 0 0 | * * * * 960 * * * * * * * * | 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 | 0 0 0 2 2 1 2 1 0 0 0 0 0 | 0 1 2 1 1 0
.. .. xx .. ..&#x | 2 2 | 1 0 2 0 1 0 | * * * * * 960 * * * * * * * | 0 0 0 0 0 2 0 1 1 0 0 0 0 0 0 0 | 0 0 0 1 0 2 2 0 1 0 0 0 0 | 0 1 1 0 2 0
.. .. .. .. xx&#x | 2 2 | 0 1 2 0 0 1 | * * * * * * 960 * * * * * * | 0 0 0 0 0 0 2 0 1 1 0 0 0 0 0 0 | 0 0 0 0 1 0 2 2 1 0 0 0 0 | 0 0 1 1 2 0
.o3.x .. .. .. | 0 3 | 0 0 0 3 0 0 | * * * * * * * 320 * * * * * | 0 0 0 0 1 0 0 0 0 0 2 2 0 0 0 0 | 0 0 0 2 2 0 0 0 0 1 2 1 0 | 0 1 2 1 0 1
.. .x3.x .. .. | 0 6 | 0 0 0 3 3 0 | * * * * * * * * 640 * * * * | 0 0 0 0 0 1 0 0 0 0 1 0 1 1 0 0 | 0 0 0 1 0 1 1 0 0 1 1 0 1 | 0 1 1 0 1 1
.. .x .. .. .x | 0 4 | 0 0 0 2 0 2 | * * * * * * * * * 960 * * * | 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 0 | 0 0 0 0 1 0 1 1 0 0 1 1 1 | 0 0 1 1 1 1
.. .. .x3.o .. | 0 3 | 0 0 0 0 3 0 | * * * * * * * * * * 320 * * | 0 0 0 0 0 0 0 1 0 0 0 0 2 0 0 1 | 0 0 0 0 0 2 0 0 1 1 0 0 2 | 0 1 0 0 2 1
.. .. .x .. .x | 0 4 | 0 0 0 0 2 2 | * * * * * * * * * * * 480 * | 0 0 0 0 0 0 0 0 1 0 0 0 0 2 0 1 | 0 0 0 0 0 0 2 0 1 0 1 0 2 | 0 0 1 0 2 1
.. .. .. .o4.x | 0 4 | 0 0 0 0 0 4 | * * * * * * * * * * * * 240 | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 1 | 0 0 0 0 0 0 0 2 1 0 0 1 2 | 0 0 0 1 2 1
------------------+---------+-------------------------+----------------------------------------------------+---------------------------------------------------------------+---------------------------------------------+----------------
o.3o.3x. .. .. ♦ 4 0 | 6 0 0 0 0 0 | 4 0 0 0 0 0 0 0 0 0 0 0 0 | 160 * * * * * * * * * * * * * * * | 1 1 0 1 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
.. o.3x.3o. .. ♦ 6 0 | 12 0 0 0 0 0 | 4 4 0 0 0 0 0 0 0 0 0 0 0 | * 160 * * * * * * * * * * * * * * | 1 0 1 0 0 1 0 0 0 0 0 0 0 | 1 1 0 0 1 0
.. o.3x. .. x. ♦ 6 0 | 6 3 0 0 0 0 | 2 0 3 0 0 0 0 0 0 0 0 0 0 | * * 320 * * * * * * * * * * * * * | 0 1 1 0 0 0 1 0 0 0 0 0 0 | 1 0 1 0 1 0
.. .. x.3o.4x. ♦ 24 0 | 24 24 0 0 0 0 | 0 8 12 6 0 0 0 0 0 0 0 0 0 | * * * 40 * * * * * * * * * * * * | 0 0 2 0 0 0 0 0 1 0 0 0 0 | 1 0 0 0 2 0
oo3ox .. .. ..&#x ♦ 1 3 | 0 0 3 3 0 0 | 0 0 0 0 3 0 0 1 0 0 0 0 0 | * * * * 320 * * * * * * * * * * * | 0 0 0 2 2 0 0 0 0 0 0 0 0 | 0 1 2 1 0 0
.. ox3xx .. ..&#x ♦ 3 6 | 3 0 6 3 3 0 | 1 0 0 0 3 3 0 0 1 0 0 0 0 | * * * * * 640 * * * * * * * * * * | 0 0 0 1 0 1 1 0 0 0 0 0 0 | 0 1 1 0 1 0
.. ox .. .. xx&#x ♦ 2 4 | 0 1 4 2 0 2 | 0 0 0 0 2 0 2 0 0 1 0 0 0 | * * * * * * 960 * * * * * * * * * | 0 0 0 0 1 0 1 1 0 0 0 0 0 | 0 0 1 1 1 0
.. .. xx3oo ..&#x ♦ 3 3 | 3 0 3 0 3 0 | 0 1 0 0 0 3 0 0 0 0 1 0 0 | * * * * * * * 320 * * * * * * * * | 0 0 0 0 0 2 0 0 1 0 0 0 0 | 0 1 0 0 2 0
.. .. xx .. xx&#x ♦ 4 4 | 2 2 4 0 2 2 | 0 0 1 0 0 2 2 0 0 0 0 1 0 | * * * * * * * * 480 * * * * * * * | 0 0 0 0 0 0 2 0 1 0 0 0 0 | 0 0 1 0 2 0
.. .. .. oo4xx&#x ♦ 4 4 | 0 4 4 0 0 4 | 0 0 0 1 0 0 4 0 0 0 0 0 1 | * * * * * * * * * 240 * * * * * * | 0 0 0 0 0 0 0 2 1 0 0 0 0 | 0 0 0 1 2 0
.o3.x3.x .. .. ♦ 0 12 | 0 0 0 12 6 0 | 0 0 0 0 0 0 0 4 4 0 0 0 0 | * * * * * * * * * * 160 * * * * * | 0 0 0 1 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
.o3.x .. .. .x ♦ 0 6 | 0 0 0 6 0 3 | 0 0 0 0 0 0 0 2 0 3 0 0 0 | * * * * * * * * * * * 320 * * * * | 0 0 0 0 1 0 0 0 0 0 1 1 0 | 0 0 1 1 0 1
.. .x3.x3.o .. ♦ 0 12 | 0 0 0 6 12 0 | 0 0 0 0 0 0 0 0 4 0 4 0 0 | * * * * * * * * * * * * 160 * * * | 0 0 0 0 0 1 0 0 0 1 0 0 1 | 0 1 0 0 1 1
.. .x3.x .. .x ♦ 0 12 | 0 0 0 6 6 6 | 0 0 0 0 0 0 0 0 2 3 0 3 0 | * * * * * * * * * * * * * 320 * * | 0 0 0 0 0 0 1 0 0 0 1 0 1 | 0 0 1 0 1 1
.. .x .. .o4.x ♦ 0 8 | 0 0 0 4 0 8 | 0 0 0 0 0 0 0 0 0 4 0 0 2 | * * * * * * * * * * * * * * 240 * | 0 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 0 1 1 1
.. .. .x3.o4.x ♦ 0 24 | 0 0 0 0 24 24 | 0 0 0 0 0 0 0 0 0 0 8 12 6 | * * * * * * * * * * * * * * * 40 | 0 0 0 0 0 0 0 0 1 0 0 0 2 | 0 0 0 0 2 1
------------------+---------+-------------------------+----------------------------------------------------+---------------------------------------------------------------+---------------------------------------------+----------------
o.3o.3x.3o. .. ♦ 10 0 | 30 0 0 0 0 0 | 20 10 0 0 0 0 0 0 0 0 0 0 0 | 5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32 * * * * * * * * * * * * | 1 1 0 0 0 0
o.3o.3x. .. x. ♦ 8 0 | 12 4 0 0 0 0 | 8 0 6 0 0 0 0 0 0 0 0 0 0 | 2 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 80 * * * * * * * * * * * | 1 0 1 0 0 0
.. o.3x.3o.4x. ♦ 96 0 | 192 96 0 0 0 0 | 64 64 96 24 0 0 0 0 0 0 0 0 0 | 0 16 32 8 0 0 0 0 0 0 0 0 0 0 0 0 | * * 10 * * * * * * * * * * | 1 0 0 0 1 0
oo3ox3xx .. ..&#x ♦ 4 12 | 6 0 12 12 6 0 | 4 0 0 0 12 6 0 4 4 0 0 0 0 | 1 0 0 0 4 4 0 0 0 0 1 0 0 0 0 0 | * * * 160 * * * * * * * * * | 0 1 1 0 0 0
oo3ox .. .. xx&#x ♦ 2 6 | 0 1 6 6 0 3 | 0 0 0 0 6 0 3 2 0 3 0 0 0 | 0 0 0 0 2 0 3 0 0 0 0 1 0 0 0 0 | * * * * 320 * * * * * * * * | 0 0 1 1 0 0
.. ox3xx3oo ..&#x ♦ 6 12 | 12 0 12 6 12 0 | 4 4 0 0 6 12 0 0 4 0 4 0 0 | 0 1 0 0 0 4 0 4 0 0 0 0 1 0 0 0 | * * * * * 160 * * * * * * * | 0 1 0 0 1 0
.. ox3xx .. xx&#x ♦ 6 12 | 6 3 12 6 6 6 | 2 0 3 0 6 6 6 0 2 3 0 3 0 | 0 0 1 0 0 2 3 0 3 0 0 0 0 1 0 0 | * * * * * * 320 * * * * * * | 0 0 1 0 1 0
.. ox .. oo4xx&#x ♦ 4 8 | 0 4 8 4 0 8 | 0 0 0 1 4 0 8 0 0 4 0 0 2 | 0 0 0 0 0 0 4 0 0 2 0 0 0 0 1 0 | * * * * * * * 240 * * * * * | 0 0 0 1 1 0
.. .. xx3oo4xx&#x ♦ 24 24 | 24 24 24 0 24 24 | 0 8 12 6 0 24 24 0 0 0 8 12 6 | 0 0 0 1 0 0 0 8 12 6 0 0 0 0 0 1 | * * * * * * * * 40 * * * * | 0 0 0 0 2 0
.o3.x3.x3.o .. ♦ 0 30 | 0 0 0 30 30 0 | 0 0 0 0 0 0 0 10 20 0 10 0 0 | 0 0 0 0 0 0 0 0 0 0 5 0 5 0 0 0 | * * * * * * * * * 32 * * * | 0 1 0 0 0 1
.o3.x3.x .. .x ♦ 0 24 | 0 0 0 24 12 12 | 0 0 0 0 0 0 0 8 8 12 0 6 0 | 0 0 0 0 0 0 0 0 0 0 2 4 0 4 0 0 | * * * * * * * * * * 80 * * | 0 0 1 0 0 1
.o3.x .. .o4.x ♦ 0 12 | 0 0 0 12 0 12 | 0 0 0 0 0 0 0 4 0 12 0 0 3 | 0 0 0 0 0 0 0 0 0 0 0 4 0 0 3 0 | * * * * * * * * * * * 80 * | 0 0 0 1 0 1
.. .x3.x3.o4.x ♦ 0 192 | 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 0 0 0 16 32 24 8 | * * * * * * * * * * * * 10 | 0 0 0 0 1 1
------------------+---------+-------------------------+----------------------------------------------------+---------------------------------------------------------------+---------------------------------------------+----------------
o.3o.3x.3o.4x. ♦ 320 0 | 960 320 0 0 0 0 | 640 320 480 80 0 0 0 0 0 0 0 0 0 | 160 160 320 40 0 0 0 0 0 0 0 0 0 0 0 0 | 32 80 10 0 0 0 0 0 0 0 0 0 0 | 1 * * * * *
oo3ox3xx3oo ..&#x ♦ 10 30 | 30 0 30 30 30 0 | 20 10 0 0 30 30 0 10 20 0 10 0 0 | 5 5 0 0 10 20 0 10 0 0 5 0 5 0 0 0 | 1 0 0 5 0 5 0 0 0 1 0 0 0 | * 32 * * * *
oo3ox3xx .. xx&#x ♦ 8 24 | 12 4 24 24 12 12 | 8 0 6 0 24 12 12 8 8 12 0 6 0 | 2 0 4 0 8 8 12 0 6 0 2 4 0 4 0 0 | 0 1 0 2 4 0 4 0 0 0 1 0 0 | * * 80 * * *
oo3ox .. oo4xx&#x ♦ 4 12 | 0 4 12 12 0 12 | 0 0 0 1 12 0 12 4 0 12 0 0 3 | 0 0 0 0 4 0 12 0 0 3 0 4 0 0 3 0 | 0 0 0 0 4 0 0 3 0 0 0 1 0 | * * * 80 * *
.. ox3xx3oo4xx&#x ♦ 96 192 | 192 96 192 96 192 192 | 64 64 96 24 96 192 192 0 64 96 64 96 48 | 0 16 32 8 0 64 96 64 96 48 0 0 16 32 24 8 | 0 0 1 0 0 16 32 24 8 0 0 0 1 | * * * * 10 *
.o3.x3.x3.o4.x ♦ 0 960 | 0 0 0 960 960 960 | 0 0 0 0 0 0 0 320 640 960 320 480 240 | 0 0 0 0 0 0 0 0 0 0 160 320 160 320 240 40 | 0 0 0 0 0 0 0 0 0 32 80 80 10 | * * * * * 1
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