| Acronym | nitabittit, nit || bittit |
| Name | (degenerate) nit atop bittit |
| Circumradius | ∞ i.e. flat in euclidean space |
| Face vector | 320, 1440, 2080, 1280, 364, 44 |
| 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
oo3ox3xx3oo4oo&#x → height = 0
(nit || bittit)
o.3o.3o.3o.4o. | 80 * | 12 3 0 0 | 12 12 3 12 0 0 0 | 4 12 3 1 12 12 0 0 0 | 4 3 4 12 3 0 0 | 1 4 3 0
.o3.o3.o3.o4.o | * 240 | 0 1 2 4 | 0 0 2 4 1 8 4 | 0 0 0 1 8 4 4 8 1 | 0 0 4 8 1 4 2 | 0 4 2 1
------------------+--------+-----------------+----------------------------+--------------------------------+-----------------------+---------
.. .. x. .. .. | 2 0 | 480 * * * | 2 2 0 1 0 0 0 | 1 4 1 0 2 2 0 0 0 | 2 2 1 4 1 0 0 | 1 2 2 0
oo3oo3oo3oo4oo&#x | 1 1 | * 240 * * | 0 0 2 4 0 0 0 | 0 0 0 1 8 4 0 0 0 | 0 0 4 8 1 0 0 | 0 4 2 0
.. .x .. .. .. | 0 2 | * * 240 * | 0 0 1 0 1 4 0 | 0 0 0 1 4 0 4 4 0 | 0 0 4 4 0 4 1 | 0 4 1 1
.. .. .x .. .. | 0 2 | * * * 480 | 0 0 0 1 0 2 2 | 0 0 0 0 2 2 1 4 1 | 0 0 1 4 1 2 2 | 0 2 2 1
------------------+--------+-----------------+----------------------------+--------------------------------+-----------------------+---------
.. o.3x. .. .. | 3 0 | 3 0 0 0 | 320 * * * * * * | 1 2 0 0 1 0 0 0 0 | 2 1 1 2 0 0 0 | 1 2 1 0
.. .. x.3o. .. | 3 0 | 3 0 0 0 | * 320 * * * * * | 0 2 1 0 0 1 0 0 0 | 1 2 0 2 1 0 0 | 1 1 2 0
.. ox .. .. ..&#x | 1 2 | 0 2 1 0 | * * 240 * * * * | 0 0 0 1 4 0 0 0 0 | 0 0 4 4 0 0 0 | 0 4 1 0
.. .. xx .. ..&#x | 2 2 | 1 2 0 1 | * * * 480 * * * | 0 0 0 0 2 2 0 0 0 | 0 0 1 4 1 0 0 | 0 2 2 0
.o3.x .. .. .. | 0 3 | 0 0 3 0 | * * * * 80 * * | 0 0 0 1 0 0 4 0 0 | 0 0 4 0 0 4 0 | 0 4 0 1
.. .x3.x .. .. | 0 6 | 0 0 3 3 | * * * * * 320 * | 0 0 0 0 1 0 1 2 0 | 0 0 1 2 0 2 1 | 0 2 1 1
.. .. .x3.o .. | 0 3 | 0 0 0 3 | * * * * * * 320 | 0 0 0 0 0 1 0 2 1 | 0 0 0 2 1 1 2 | 0 1 2 1
------------------+--------+-----------------+----------------------------+--------------------------------+-----------------------+---------
o.3o.3x. .. .. ♦ 4 0 | 6 0 0 0 | 4 0 0 0 0 0 0 | 80 * * * * * * * * | 2 0 1 0 0 0 0 | 1 2 0 0
.. o.3x.3o. .. ♦ 6 0 | 12 0 0 0 | 4 4 0 0 0 0 0 | * 160 * * * * * * * | 1 1 0 1 0 0 0 | 1 1 1 0
.. .. x.3o.4o. ♦ 6 0 | 12 0 0 0 | 0 8 0 0 0 0 0 | * * 40 * * * * * * | 0 2 0 0 1 0 0 | 1 0 2 0
oo3ox .. .. ..&#x ♦ 1 3 | 0 3 3 0 | 0 0 3 0 1 0 0 | * * * 80 * * * * * | 0 0 4 0 0 0 0 | 0 4 0 0
.. ox3xx .. ..&#x ♦ 3 6 | 3 6 3 3 | 1 0 3 3 0 1 0 | * * * * 320 * * * * | 0 0 1 2 0 0 0 | 0 2 1 0
.. .. xx3oo ..&#x ♦ 3 3 | 3 3 0 3 | 0 1 0 3 0 0 1 | * * * * * 320 * * * | 0 0 0 2 1 0 0 | 0 1 2 0
.o3.x3.x .. .. ♦ 0 12 | 0 0 12 6 | 0 0 0 0 4 4 0 | * * * * * * 80 * * | 0 0 1 0 0 2 0 | 0 2 0 1
.. .x3.x3.o .. ♦ 0 12 | 0 0 6 12 | 0 0 0 0 0 4 4 | * * * * * * * 160 * | 0 0 0 1 0 1 1 | 0 1 1 1
.. .. .x3.o4.o ♦ 0 6 | 0 0 0 12 | 0 0 0 0 0 0 8 | * * * * * * * * 40 | 0 0 0 0 1 0 2 | 0 0 2 1
------------------+--------+-----------------+----------------------------+--------------------------------+-----------------------+---------
o.3o.3x.3o. .. ♦ 10 0 | 30 0 0 0 | 20 10 0 0 0 0 0 | 5 5 0 0 0 0 0 0 0 | 32 * * * * * * | 1 1 0 0
.. o.3x.3o.4o. ♦ 24 0 | 96 0 0 0 | 32 64 0 0 0 0 0 | 0 16 8 0 0 0 0 0 0 | * 10 * * * * * | 1 0 1 0
oo3ox3xx .. ..&#x ♦ 4 12 | 6 12 12 6 | 4 0 12 6 4 4 0 | 1 0 0 4 4 0 1 0 0 | * * 80 * * * * | 0 2 0 0
.. ox3xx3oo ..&#x ♦ 6 12 | 12 12 6 12 | 4 4 6 12 0 4 4 | 0 1 0 0 4 4 0 1 0 | * * * 160 * * * | 0 1 1 0
.. .. xx3oo4oo&#x ♦ 6 6 | 12 6 0 12 | 0 8 0 12 0 0 8 | 0 0 1 0 0 8 0 0 1 | * * * * 40 * * | 0 0 2 0
.o3.x3.x3.o .. ♦ 0 30 | 0 0 30 30 | 0 0 0 0 10 20 10 | 0 0 0 0 0 0 5 5 0 | * * * * * 32 * | 0 1 0 1
.. .x3.x3.o4.o ♦ 0 48 | 0 0 24 96 | 0 0 0 0 0 32 64 | 0 0 0 0 0 0 0 16 8 | * * * * * * 10 | 0 0 1 1
------------------+--------+-----------------+----------------------------+--------------------------------+-----------------------+---------
o.3o.3x.3o.4o. ♦ 80 0 | 480 0 0 0 | 320 320 0 0 0 0 0 | 80 160 40 0 0 0 0 0 0 | 32 10 0 0 0 0 0 | 1 * * *
oo3ox3xx3oo ..&#x ♦ 10 30 | 30 30 30 30 | 20 10 30 30 10 20 10 | 5 5 0 10 20 10 5 5 0 | 1 0 5 5 0 1 0 | * 32 * *
.. ox3xx3oo4oo&#x ♦ 24 48 | 96 48 24 96 | 32 64 24 96 0 32 64 | 0 16 8 0 32 64 0 16 8 | 0 1 0 16 8 0 1 | * * 10 *
.o3.x3.x3.o4.o ♦ 0 240 | 0 0 240 480 | 0 0 0 0 80 320 320 | 0 0 0 0 0 0 80 160 40 | 0 0 0 0 0 32 10 | * * * 1
oo3xx3oo *b3ox3oo&#x → height = 0
(nit || bittit)
o.3o.3o. *b3o.3o. | 80 * | 12 3 0 0 | 6 6 12 12 3 0 0 0 0 | 3 6 6 4 6 6 12 1 0 0 0 0 | 3 2 2 3 6 6 4 0 0 0 | 1 3 2 2 0
.o3.o3.o *b3.o3.o | * 240 | 0 1 4 2 | 0 0 0 4 2 2 2 8 1 | 0 0 0 0 2 2 8 1 1 4 4 4 | 0 0 0 1 4 4 4 2 2 2 | 0 2 2 2 1
---------------------+--------+-----------------+------------------------------------+----------------------------------------+-------------------------------+-------------
.. x. .. .. .. | 2 0 | 480 * * * | 1 1 2 1 0 0 0 0 0 | 1 2 2 1 1 1 2 0 0 0 0 0 | 2 1 1 1 2 2 1 0 0 0 | 1 2 1 1 0
oo3oo3oo *b3oo3oo&#x | 1 1 | * 240 * * | 0 0 0 4 2 0 0 0 0 | 0 0 0 0 2 2 8 1 0 0 0 0 | 0 0 0 1 4 4 4 0 0 0 | 0 2 2 2 0
.. .x .. .. .. | 0 2 | * * 480 * | 0 0 0 1 0 1 1 2 0 | 0 0 0 0 1 1 2 0 1 2 2 1 | 0 0 0 1 2 2 1 2 1 1 | 0 2 1 1 1
.. .. .. .x .. | 0 2 | * * * 240 | 0 0 0 0 1 0 0 4 1 | 0 0 0 0 0 0 4 1 0 2 2 4 | 0 0 0 0 2 2 4 1 2 2 | 0 1 2 2 1
---------------------+--------+-----------------+------------------------------------+----------------------------------------+-------------------------------+-------------
o.3x. .. .. .. | 3 0 | 3 0 0 0 | 160 * * * * * * * * | 1 2 0 0 1 0 0 0 0 0 0 0 | 2 1 0 1 2 0 0 0 0 0 | 1 2 1 0 0
.. x.3o. .. .. | 3 0 | 3 0 0 0 | * 160 * * * * * * * | 1 0 2 0 0 1 0 0 0 0 0 0 | 2 0 1 1 0 2 0 0 0 0 | 1 2 0 1 0
.. x. .. *b3o. .. | 3 0 | 3 0 0 0 | * * 320 * * * * * * | 0 1 1 1 0 0 1 0 0 0 0 0 | 1 1 1 0 1 1 1 0 0 0 | 1 1 1 1 0
.. xx .. .. ..&#x | 2 2 | 1 2 1 0 | * * * 480 * * * * * | 0 0 0 0 1 1 2 0 0 0 0 0 | 0 0 0 1 2 2 1 0 0 0 | 0 2 1 1 0
.. .. .. ox ..&#x | 1 2 | 0 2 0 1 | * * * * 240 * * * * | 0 0 0 0 0 0 4 1 0 0 0 0 | 0 0 0 0 2 2 4 0 0 0 | 0 1 2 2 0
.o3.x .. .. .. | 0 3 | 0 0 3 0 | * * * * * 160 * * * | 0 0 0 0 1 0 0 0 1 2 0 0 | 0 0 0 1 2 0 0 2 1 0 | 0 2 1 0 1
.. .x3.o .. .. | 0 3 | 0 0 3 0 | * * * * * * 160 * * | 0 0 0 0 0 1 0 0 1 0 2 0 | 0 0 0 1 0 2 0 2 0 1 | 0 2 0 1 1
.. .x .. *b3.x .. | 0 6 | 0 0 3 3 | * * * * * * * 320 * | 0 0 0 0 0 0 1 0 0 1 1 1 | 0 0 0 0 1 1 1 1 1 1 | 0 1 1 1 1
.. .. .. .x3.o | 0 3 | 0 0 0 3 | * * * * * * * * 80 | 0 0 0 0 0 0 0 1 0 0 0 4 | 0 0 0 0 0 0 4 0 2 2 | 0 0 2 2 1
---------------------+--------+-----------------+------------------------------------+----------------------------------------+-------------------------------+-------------
o.3x.3o. .. .. ♦ 6 0 | 12 0 0 0 | 4 4 0 0 0 0 0 0 0 | 40 * * * * * * * * * * * | 2 0 0 1 0 0 0 0 0 0 | 1 2 0 0 0
o.3x. .. *b3o. .. ♦ 6 0 | 12 0 0 0 | 4 0 4 0 0 0 0 0 0 | * 80 * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 | 1 1 1 0 0
.. x.3o. *b3o. .. ♦ 6 0 | 12 0 0 0 | 0 4 4 0 0 0 0 0 0 | * * 80 * * * * * * * * * | 1 0 1 0 0 1 0 0 0 0 | 1 1 0 1 0
.. x. .. *b3o.3o. ♦ 4 0 | 6 0 0 0 | 0 0 4 0 0 0 0 0 0 | * * * 80 * * * * * * * * | 0 1 1 0 0 0 1 0 0 0 | 1 0 1 1 0
oo3xx .. .. ..&#x ♦ 3 3 | 3 3 3 0 | 1 0 0 3 0 1 0 0 0 | * * * * 160 * * * * * * * | 0 0 0 1 2 0 0 0 0 0 | 0 2 1 0 0
.. xx3oo .. ..&#x ♦ 3 3 | 3 3 3 0 | 0 1 0 3 0 0 1 0 0 | * * * * * 160 * * * * * * | 0 0 0 1 0 2 0 0 0 0 | 0 2 0 1 0
.. xx .. *b3ox ..&#x ♦ 3 6 | 3 6 3 3 | 0 0 1 3 3 0 0 1 0 | * * * * * * 320 * * * * * | 0 0 0 0 1 1 1 0 0 0 | 0 1 1 1 0
.. .. .. ox3oo&#x ♦ 1 3 | 0 3 0 3 | 0 0 0 0 3 0 0 0 1 | * * * * * * * 80 * * * * | 0 0 0 0 0 0 4 0 0 0 | 0 0 2 2 0
.o3.x3.o .. .. ♦ 0 6 | 0 0 12 0 | 0 0 0 0 0 4 4 0 0 | * * * * * * * * 40 * * * | 0 0 0 1 0 0 0 2 0 0 | 0 2 0 0 1
.o3.x .. *b3.x .. ♦ 0 12 | 0 0 12 6 | 0 0 0 0 0 4 0 4 0 | * * * * * * * * * 80 * * | 0 0 0 0 1 0 0 1 1 0 | 0 1 1 0 1
.. .x3.o *b3.x .. ♦ 0 12 | 0 0 12 6 | 0 0 0 0 0 0 4 4 0 | * * * * * * * * * * 80 * | 0 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1
.. .x .. *b3.x3.o ♦ 0 12 | 0 0 6 12 | 0 0 0 0 0 0 0 4 4 | * * * * * * * * * * * 80 | 0 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1
---------------------+--------+-----------------+------------------------------------+----------------------------------------+-------------------------------+-------------
o.3x.3o. *b3o. .. ♦ 24 0 | 96 0 0 0 | 32 32 32 0 0 0 0 0 0 | 8 8 8 0 0 0 0 0 0 0 0 0 | 10 * * * * * * * * * | 1 1 0 0 0
o.3x. .. *b3o.3o. ♦ 10 0 | 30 0 0 0 | 10 0 20 0 0 0 0 0 0 | 0 5 0 5 0 0 0 0 0 0 0 0 | * 16 * * * * * * * * | 1 0 1 0 0
.. x.3o. *b3o.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 | * * 16 * * * * * * * | 1 0 0 1 0
oo3xx3oo .. ..&#x ♦ 6 6 | 12 6 12 0 | 4 4 0 12 0 4 4 0 0 | 1 0 0 0 4 4 0 0 1 0 0 0 | * * * 40 * * * * * * | 0 2 0 0 0
oo3xx .. *b3ox ..&#x ♦ 6 12 | 12 12 12 6 | 4 0 4 12 6 4 0 4 0 | 0 1 0 0 4 0 4 0 0 1 0 0 | * * * * 80 * * * * * | 0 1 1 0 0
.. xx3oo *b3ox ..&#x ♦ 6 12 | 12 12 12 6 | 0 4 4 12 6 0 4 4 0 | 0 0 1 0 0 4 4 0 0 0 1 0 | * * * * * 80 * * * * | 0 1 0 1 0
.. xx .. *b3ox3oo&#x ♦ 4 12 | 6 12 6 12 | 0 0 4 6 12 0 0 4 4 | 0 0 0 1 0 0 4 4 0 0 0 1 | * * * * * * 80 * * * | 0 0 1 1 0
.o3.x3.o *b3.x .. ♦ 0 48 | 0 0 96 24 | 0 0 0 0 0 32 32 32 0 | 0 0 0 0 0 0 0 0 8 8 8 0 | * * * * * * * 10 * * | 0 1 0 0 1
.o3.x .. *b3.x3.o ♦ 0 30 | 0 0 30 30 | 0 0 0 0 0 10 0 20 10 | 0 0 0 0 0 0 0 0 0 5 0 5 | * * * * * * * * 16 * | 0 0 1 0 1
.. .x3.o *b3.x3.o ♦ 0 30 | 0 0 30 30 | 0 0 0 0 0 0 10 20 10 | 0 0 0 0 0 0 0 0 0 0 5 5 | * * * * * * * * * 16 | 0 0 0 1 1
---------------------+--------+-----------------+------------------------------------+----------------------------------------+-------------------------------+-------------
o.3x.3o. *b3o.3o. ♦ 80 0 | 480 0 0 0 | 160 160 320 0 0 0 0 0 0 | 40 80 80 80 0 0 0 0 0 0 0 0 | 10 16 16 0 0 0 0 0 0 0 | 1 * * * *
oo3xx3oo *b3ox ..&#x ♦ 24 48 | 96 48 96 24 | 32 32 32 96 24 32 32 32 0 | 8 8 8 0 32 32 32 0 8 8 8 0 | 1 0 0 8 8 8 0 1 0 0 | * 10 * * *
oo3xx .. *b3ox3oo&#x ♦ 10 30 | 30 30 30 30 | 10 0 20 30 30 10 0 20 10 | 0 5 0 5 10 0 20 10 0 5 0 5 | 0 1 0 0 5 0 5 0 1 0 | * * 16 * *
.. xx3oo *b3ox3oo&#x ♦ 10 30 | 30 30 30 30 | 0 10 20 30 30 0 10 20 10 | 0 0 5 5 0 10 20 10 0 0 5 5 | 0 0 1 0 0 5 5 0 0 1 | * * * 16 *
.o3.x3.o *b3.x3.o ♦ 0 240 | 0 0 480 240 | 0 0 0 0 0 160 160 320 80 | 0 0 0 0 0 0 0 0 40 80 80 80 | 0 0 0 0 0 0 0 10 16 16 | * * * * 1
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