| Acronym | tanapattin, tan || pattin |
| Name | (degenerate) tan atop pattin |
| Circumradius | ∞ i.e. flat in euclidean space |
| Face vector | 1120, 4720, 7520, 5520, 1804, 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
oo3ox3oo3xx4xx&#x → height = 0
(tan || pattin)
o.3o.3o.3o.4o. | 160 * | 4 1 6 0 0 0 | 6 4 12 12 6 0 0 0 0 0 0 | 4 6 4 4 12 12 6 12 0 0 0 0 0 0 0 | 1 4 1 4 4 4 4 12 6 0 0 0 0 | 1 1 1 4 4 0
.o3.o3.o3.o4.o | * 960 | 0 0 1 4 2 1 | 0 0 4 2 1 2 2 4 4 1 2 | 0 0 2 2 4 4 1 2 1 2 2 2 2 4 1 | 0 0 1 2 2 2 2 4 1 1 1 2 2 | 0 1 1 2 2 1
------------------+---------+-------------------------+---------------------------------------------+-----------------------------------------------------------+----------------------------------------------+----------------
.. .. .. x. .. | 2 0 | 320 * * * * * | 3 1 0 3 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 0 3 3 0 0 0 0 | 1 1 0 1 3 0
.. .. .. .. x. | 2 0 | * 80 * * * * | 0 4 0 0 6 0 0 0 0 0 0 | 0 6 0 0 0 12 0 12 0 0 0 0 0 0 0 | 0 4 0 0 4 0 4 12 6 0 0 0 0 | 1 0 1 4 4 0
oo3oo3oo3oo4oo&#x | 1 1 | * * 960 * * * | 0 0 4 2 1 0 0 0 0 0 0 | 0 0 2 2 4 4 1 2 0 0 0 0 0 0 0 | 0 0 1 2 2 2 2 4 1 0 0 0 0 | 0 1 1 2 2 0
.. .x .. .. .. | 0 2 | * * * 1920 * * | 0 0 1 0 0 1 1 1 1 0 0 | 0 0 1 1 1 1 0 0 1 1 1 1 1 1 0 | 0 0 1 1 1 1 1 1 0 1 1 1 1 | 0 1 1 1 1 1
.. .. .. .x .. | 0 2 | * * * * 960 * | 0 0 0 1 0 0 0 2 0 1 1 | 0 0 0 0 2 0 1 1 0 1 0 2 0 2 1 | 0 0 0 1 0 2 0 2 1 1 0 1 2 | 0 1 0 1 2 1
.. .. .. .. .x | 0 2 | * * * * * 480 | 0 0 0 0 1 0 0 0 4 0 2 | 0 0 0 0 0 4 0 2 0 0 2 0 2 4 1 | 0 0 0 0 2 0 2 4 1 0 1 2 2 | 0 0 1 2 2 1
------------------+---------+-------------------------+---------------------------------------------+-----------------------------------------------------------+----------------------------------------------+----------------
.. .. o.3x. .. | 3 0 | 3 0 0 0 0 0 | 320 * * * * * * * * * * | 2 1 0 0 0 0 1 0 0 0 0 0 0 0 0 | 1 2 0 0 0 2 0 0 1 0 0 0 0 | 1 1 0 0 2 0
.. .. .. x.4x. | 8 0 | 4 4 0 0 0 0 | * 80 * * * * * * * * * | 0 3 0 0 0 0 0 3 0 0 0 0 0 0 0 | 0 3 0 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 | * * 1920 * * * * * * * * | 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 | 0 0 1 1 1 1 1 1 0 0 0 0 0 | 0 1 1 1 1 0
.. .. .. xx ..&#x | 2 2 | 1 0 2 0 1 0 | * * * 960 * * * * * * * | 0 0 0 0 2 0 1 1 0 0 0 0 0 0 0 | 0 0 0 1 0 2 0 2 1 0 0 0 0 | 0 1 0 1 2 0
.. .. .. .. xx&#x | 2 2 | 0 1 2 0 0 1 | * * * * 480 * * * * * * | 0 0 0 0 0 4 0 2 0 0 0 0 0 0 0 | 0 0 0 0 2 0 2 4 1 0 0 0 0 | 0 0 1 2 2 0
.o3.x .. .. .. | 0 3 | 0 0 0 3 0 0 | * * * * * 640 * * * * * | 0 0 1 0 0 0 0 0 1 1 1 0 0 0 0 | 0 0 1 1 1 0 0 0 0 1 1 1 0 | 0 1 1 1 0 1
.. .x3.o .. .. | 0 3 | 0 0 0 3 0 0 | * * * * * * 640 * * * * | 0 0 0 1 0 0 0 0 1 0 0 1 1 0 0 | 0 0 1 0 0 1 1 0 0 1 1 0 1 | 0 1 1 0 1 1
.. .x .. .x .. | 0 4 | 0 0 0 2 2 0 | * * * * * * * 960 * * * | 0 0 0 0 1 0 0 0 0 1 0 1 0 1 0 | 0 0 0 1 0 1 0 1 0 1 0 1 1 | 0 1 0 1 1 1
.. .x .. .. .x | 0 4 | 0 0 0 2 0 2 | * * * * * * * * 960 * * | 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
.. .. .o3.x .. | 0 3 | 0 0 0 0 3 0 | * * * * * * * * * 320 * | 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
.. .. .. .x4.x | 0 8 | 0 0 0 0 4 4 | * * * * * * * * * * 240 | 0 0 0 0 0 0 0 1 0 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 | 160 * * * * * * * * * * * * * * | 1 1 0 0 0 1 0 0 0 0 0 0 0 | 1 1 0 0 1 0
.. .. o.3x.4x. ♦ 24 0 | 24 12 0 0 0 0 | 8 6 0 0 0 0 0 0 0 0 0 | * 40 * * * * * * * * * * * * * | 0 2 0 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 3 0 0 1 0 0 0 0 0 | * * 640 * * * * * * * * * * * * | 0 0 1 1 1 0 0 0 0 0 0 0 0 | 0 1 1 1 0 0
.. ox3oo .. ..&#x ♦ 1 3 | 0 0 3 3 0 0 | 0 0 3 0 0 0 1 0 0 0 0 | * * * 640 * * * * * * * * * * * | 0 0 1 0 0 1 1 0 0 0 0 0 0 | 0 1 1 0 1 0
.. ox .. xx ..&#x ♦ 2 4 | 1 0 4 2 2 0 | 0 0 2 2 0 0 0 1 0 0 0 | * * * * 960 * * * * * * * * * * | 0 0 0 1 0 1 0 1 0 0 0 0 0 | 0 1 0 1 1 0
.. ox .. .. xx&#x ♦ 2 4 | 0 1 4 2 0 2 | 0 0 2 0 2 0 0 0 1 0 0 | * * * * * 960 * * * * * * * * * | 0 0 0 0 1 0 1 1 0 0 0 0 0 | 0 0 1 1 1 0
.. .. oo3xx ..&#x ♦ 3 3 | 3 0 3 0 3 0 | 1 0 0 3 0 0 0 0 0 1 0 | * * * * * * 320 * * * * * * * * | 0 0 0 0 0 2 0 0 1 0 0 0 0 | 0 1 0 0 2 0
.. .. .. xx4xx&#x ♦ 8 8 | 4 4 8 0 4 4 | 0 1 0 4 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.o .. .. ♦ 0 6 | 0 0 0 12 0 0 | 0 0 0 0 0 4 4 0 0 0 0 | * * * * * * * * 160 * * * * * * | 0 0 1 0 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
.o3.x .. .x .. ♦ 0 6 | 0 0 0 6 3 0 | 0 0 0 0 0 2 0 3 0 0 0 | * * * * * * * * * 320 * * * * * | 0 0 0 1 0 0 0 0 0 1 0 1 0 | 0 1 0 1 0 1
.o3.x .. .. .x ♦ 0 6 | 0 0 0 6 0 3 | 0 0 0 0 0 2 0 0 3 0 0 | * * * * * * * * * * 320 * * * * | 0 0 0 0 1 0 0 0 0 0 1 1 0 | 0 0 1 1 0 1
.. .x3.o3.x .. ♦ 0 12 | 0 0 0 12 12 0 | 0 0 0 0 0 0 4 6 0 4 0 | * * * * * * * * * * * 160 * * * | 0 0 0 0 0 1 0 0 0 1 0 0 1 | 0 1 0 0 1 1
.. .x3.o .. .x ♦ 0 6 | 0 0 0 6 0 3 | 0 0 0 0 0 0 2 0 3 0 0 | * * * * * * * * * * * * 320 * * | 0 0 0 0 0 0 1 0 0 0 1 0 1 | 0 0 1 0 1 1
.. .x .. .x4.x ♦ 0 16 | 0 0 0 8 8 8 | 0 0 0 0 0 0 0 4 4 0 2 | * * * * * * * * * * * * * 240 * | 0 0 0 0 0 0 0 1 0 0 0 1 1 | 0 0 0 1 1 1
.. .. .o3.x4.x ♦ 0 24 | 0 0 0 0 24 12 | 0 0 0 0 0 0 0 0 0 8 6 | * * * * * * * * * * * * * * 40 | 0 0 0 0 0 0 0 0 1 0 0 0 2 | 0 0 0 0 2 1
------------------+---------+-------------------------+---------------------------------------------+-----------------------------------------------------------+----------------------------------------------+----------------
o.3o.3o.3x. .. ♦ 5 0 | 10 0 0 0 0 0 | 10 0 0 0 0 0 0 0 0 0 0 | 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.4x. ♦ 64 0 | 96 32 0 0 0 0 | 64 24 0 0 0 0 0 0 0 0 0 | 16 8 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 10 * * * * * * * * * * * | 1 0 0 0 1 0
oo3ox3oo .. ..&#x ♦ 1 6 | 0 0 6 12 0 0 | 0 0 12 0 0 4 4 0 0 0 0 | 0 0 4 4 0 0 0 0 1 0 0 0 0 0 0 | * * 160 * * * * * * * * * * | 0 1 1 0 0 0
oo3ox .. xx ..&#x ♦ 2 6 | 1 0 6 6 3 0 | 0 0 6 3 0 2 0 3 0 0 0 | 0 0 2 0 3 0 0 0 0 1 0 0 0 0 0 | * * * 320 * * * * * * * * * | 0 1 0 1 0 0
oo3ox .. .. xx&#x ♦ 2 6 | 0 1 6 6 0 3 | 0 0 6 0 3 2 0 0 3 0 0 | 0 0 2 0 0 3 0 0 0 0 1 0 0 0 0 | * * * * 320 * * * * * * * * | 0 0 1 1 0 0
.. ox3oo3xx ..&#x ♦ 4 12 | 6 0 12 12 12 0 | 4 0 12 12 0 0 4 6 0 4 0 | 1 0 0 4 6 0 4 0 0 0 0 1 0 0 0 | * * * * * 160 * * * * * * * | 0 1 0 0 1 0
.. ox3oo .. xx&#x ♦ 2 6 | 0 1 6 6 0 3 | 0 0 6 0 3 0 2 0 3 0 0 | 0 0 0 2 0 3 0 0 0 0 0 0 1 0 0 | * * * * * * 320 * * * * * * | 0 0 1 0 1 0
.. ox .. xx4xx&#x ♦ 8 16 | 4 4 16 8 8 8 | 0 1 8 8 8 0 0 4 4 0 2 | 0 0 0 0 4 4 0 2 0 0 0 0 0 1 0 | * * * * * * * 240 * * * * * | 0 0 0 1 1 0
.. .. oo3xx4xx&#x ♦ 24 24 | 24 12 24 0 24 12 | 8 6 0 24 12 0 0 0 0 8 6 | 0 1 0 0 0 0 8 6 0 0 0 0 0 0 1 | * * * * * * * * 40 * * * * | 0 0 0 0 2 0
.o3.x3.o3.x .. ♦ 0 30 | 0 0 0 60 30 0 | 0 0 0 0 0 20 20 30 0 10 0 | 0 0 0 0 0 0 0 0 5 10 0 5 0 0 0 | * * * * * * * * * 32 * * * | 0 1 0 0 0 1
.o3.x3.o .. .x ♦ 0 12 | 0 0 0 24 0 6 | 0 0 0 0 0 8 8 0 12 0 0 | 0 0 0 0 0 0 0 0 2 0 4 0 4 0 0 | * * * * * * * * * * 80 * * | 0 0 1 0 0 1
.o3.x .. .x4.x ♦ 0 24 | 0 0 0 24 12 12 | 0 0 0 0 0 8 0 12 12 0 3 | 0 0 0 0 0 0 0 0 0 4 4 0 0 3 0 | * * * * * * * * * * * 80 * | 0 0 0 1 0 1
.. .x3.o3.x4.x ♦ 0 192 | 0 0 0 192 192 96 | 0 0 0 0 0 0 64 96 96 64 48 | 0 0 0 0 0 0 0 0 0 0 0 16 32 24 8 | * * * * * * * * * * * * 10 | 0 0 0 0 1 1
------------------+---------+-------------------------+---------------------------------------------+-----------------------------------------------------------+----------------------------------------------+----------------
o.3o.3o.3x.4x. ♦ 160 0 | 320 80 0 0 0 0 | 320 80 0 0 0 0 0 0 0 0 0 | 160 40 0 0 0 0 0 0 0 0 0 0 0 0 0 | 32 10 0 0 0 0 0 0 0 0 0 0 0 | 1 * * * * *
oo3ox3oo3xx ..&#x ♦ 5 30 | 10 0 30 60 30 0 | 10 0 60 30 0 20 20 30 0 10 0 | 5 0 20 20 30 0 10 0 5 10 0 5 0 0 0 | 1 0 5 10 0 5 0 0 0 1 0 0 0 | * 32 * * * *
oo3ox3oo .. xx&#x ♦ 2 12 | 0 1 12 24 0 6 | 0 0 24 0 6 8 8 0 12 0 0 | 0 0 8 8 0 12 0 0 2 0 4 0 4 0 0 | 0 0 2 0 4 0 4 0 0 0 1 0 0 | * * 80 * * *
oo3ox .. xx4xx&#x ♦ 8 24 | 4 4 24 24 12 12 | 0 1 24 12 12 8 0 12 12 0 3 | 0 0 8 0 12 12 0 3 0 4 4 0 0 3 0 | 0 0 0 4 4 0 0 3 0 0 0 1 0 | * * * 80 * *
.. ox3oo3xx4xx&#x ♦ 64 192 | 96 32 192 192 192 96 | 64 24 192 192 96 0 64 96 96 64 48 | 16 8 0 64 96 96 64 48 0 0 0 16 32 24 8 | 0 1 0 0 0 16 32 24 8 0 0 0 1 | * * * * 10 *
.o3.x3.o3.x4.x ♦ 0 960 | 0 0 0 1920 960 480 | 0 0 0 0 0 640 640 960 960 320 240 | 0 0 0 0 0 0 0 0 160 320 320 160 320 240 40 | 0 0 0 0 0 0 0 0 0 32 80 80 10 | * * * * * 1
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