| Acronym | thina girhin, thin || girhin |
| Name | (degenerate) thin atop girhin |
| Circumradius | ∞ i.e. flat in euclidean space |
| Face vector | 640, 2240, 2880, 1680, 444, 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
xx3xx3oo *b3ox3oo&#x → height = 0
(thin || girhin)
o.3o.3o. *b3o.3o. | 160 * | 1 6 3 0 0 0 | 6 3 6 3 6 3 0 0 0 0 0 | 3 6 3 2 6 3 3 6 1 0 0 0 0 0 | 3 2 1 3 6 1 3 2 0 0 0 | 1 3 2 1 0
.o3.o3.o *b3.o3.o | * 480 | 0 0 1 1 2 2 | 0 0 0 1 2 2 2 2 1 4 1 | 0 0 0 0 2 2 1 4 1 1 4 1 2 2 | 0 0 0 1 4 1 2 2 2 2 1 | 0 2 2 1 1
---------------------+---------+------------------------+---------------------------------------------+------------------------------------------------+----------------------------------+-------------
x. .. .. .. .. | 2 0 | 80 * * * * * | 6 0 0 3 0 0 0 0 0 0 0 | 3 6 0 0 6 3 0 0 0 0 0 0 0 0 | 3 2 0 3 6 1 0 0 0 0 0 | 1 3 2 0 0
.. x. .. .. .. | 2 0 | * 480 * * * * | 1 1 2 0 1 0 0 0 0 0 0 | 1 2 2 1 1 0 1 2 0 0 0 0 0 0 | 2 1 1 1 2 0 2 1 0 0 0 | 1 2 1 1 0
oo3oo3oo *b3oo3oo&#x | 1 1 | * * 480 * * * | 0 0 0 1 2 2 0 0 0 0 0 | 0 0 0 0 2 2 1 4 1 0 0 0 0 0 | 0 0 0 1 4 1 2 2 0 0 0 | 0 2 2 1 0
.x .. .. .. .. | 0 2 | * * * 240 * * | 0 0 0 1 0 0 2 2 0 0 0 | 0 0 0 0 2 2 0 0 0 1 4 1 0 0 | 0 0 0 1 4 1 0 0 2 2 0 | 0 2 2 0 1
.. .x .. .. .. | 0 2 | * * * * 480 * | 0 0 0 0 1 0 1 0 1 2 0 | 0 0 0 0 1 0 1 2 0 1 2 0 2 1 | 0 0 0 1 2 0 2 1 2 1 1 | 0 2 1 1 1
.. .. .. .x .. | 0 2 | * * * * * 480 | 0 0 0 0 0 1 0 1 0 2 1 | 0 0 0 0 0 1 0 2 1 0 2 1 1 2 | 0 0 0 0 2 1 1 2 1 2 1 | 0 1 2 1 1
---------------------+---------+------------------------+---------------------------------------------+------------------------------------------------+----------------------------------+-------------
x.3x. .. .. .. | 6 0 | 3 3 0 0 0 0 | 160 * * * * * * * * * * | 1 2 0 0 1 0 0 0 0 0 0 0 0 0 | 2 1 0 1 2 0 0 0 0 0 0 | 1 2 1 0 0
.. x.3o. .. .. | 3 0 | 0 3 0 0 0 0 | * 160 * * * * * * * * * | 1 0 2 0 0 0 1 0 0 0 0 0 0 0 | 2 0 1 1 0 0 2 0 0 0 0 | 1 2 0 1 0
.. x. .. *b3o. .. | 3 0 | 0 3 0 0 0 0 | * * 320 * * * * * * * * | 0 1 1 1 0 0 0 1 0 0 0 0 0 0 | 1 1 1 0 1 0 1 1 0 0 0 | 1 1 1 1 0
xx .. .. .. ..&#x | 2 2 | 1 0 2 1 0 0 | * * * 240 * * * * * * * | 0 0 0 0 2 2 0 0 0 0 0 0 0 0 | 0 0 0 1 4 1 0 0 0 0 0 | 0 2 2 0 0
.. xx .. .. ..&#x | 2 2 | 0 1 2 0 1 0 | * * * * 480 * * * * * * | 0 0 0 0 1 0 1 2 0 0 0 0 0 0 | 0 0 0 1 2 0 2 1 0 0 0 | 0 2 1 1 0
.. .. .. ox ..&#x | 1 2 | 0 0 2 0 0 1 | * * * * * 480 * * * * * | 0 0 0 0 0 1 0 2 1 0 0 0 0 0 | 0 0 0 0 2 1 1 2 0 0 0 | 0 1 2 1 0
.x3.x .. .. .. | 0 6 | 0 0 0 3 3 0 | * * * * * * 160 * * * * | 0 0 0 0 1 0 0 0 0 1 2 0 0 0 | 0 0 0 1 2 0 0 0 2 1 0 | 0 2 1 0 1
.x .. .. .x .. | 0 4 | 0 0 0 2 0 2 | * * * * * * * 240 * * * | 0 0 0 0 0 1 0 0 0 0 2 1 0 0 | 0 0 0 0 2 1 0 0 1 2 0 | 0 1 2 0 1
.. .x3.o .. .. | 0 3 | 0 0 0 0 3 0 | * * * * * * * * 160 * * | 0 0 0 0 0 0 1 0 0 1 0 0 2 0 | 0 0 0 1 0 0 2 0 2 0 1 | 0 2 0 1 1
.. .x .. *b3.x .. | 0 6 | 0 0 0 0 3 3 | * * * * * * * * * 320 * | 0 0 0 0 0 0 0 1 0 0 1 0 1 1 | 0 0 0 0 1 0 1 1 1 1 1 | 0 1 1 1 1
.. .. .. .x3.o | 0 3 | 0 0 0 0 0 3 | * * * * * * * * * * 160 | 0 0 0 0 0 0 0 0 1 0 0 1 0 2 | 0 0 0 0 0 1 0 2 0 2 1 | 0 0 2 1 1
---------------------+---------+------------------------+---------------------------------------------+------------------------------------------------+----------------------------------+-------------
x.3x.3o. .. .. ♦ 12 0 | 6 12 0 0 0 0 | 4 4 0 0 0 0 0 0 0 0 0 | 40 * * * * * * * * * * * * * | 2 0 0 1 0 0 0 0 0 0 0 | 1 2 0 0 0
x.3x. .. *b3o. .. ♦ 12 0 | 6 12 0 0 0 0 | 4 0 4 0 0 0 0 0 0 0 0 | * 80 * * * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 | 1 1 1 0 0
.. x.3o. *b3o. .. ♦ 6 0 | 0 12 0 0 0 0 | 0 4 4 0 0 0 0 0 0 0 0 | * * 80 * * * * * * * * * * * | 1 0 1 0 0 0 1 0 0 0 0 | 1 1 0 1 0
.. x. .. *b3o.3o. ♦ 4 0 | 0 6 0 0 0 0 | 0 0 4 0 0 0 0 0 0 0 0 | * * * 80 * * * * * * * * * * | 0 1 1 0 0 0 0 1 0 0 0 | 1 0 1 1 0
xx3xx .. .. ..&#x ♦ 6 6 | 3 3 6 3 3 0 | 1 0 0 3 3 0 1 0 0 0 0 | * * * * 160 * * * * * * * * * | 0 0 0 1 2 0 0 0 0 0 0 | 0 2 1 0 0
xx .. .. ox ..&#x ♦ 2 4 | 1 0 4 2 0 2 | 0 0 0 2 0 2 0 1 0 0 0 | * * * * * 240 * * * * * * * * | 0 0 0 0 2 1 0 0 0 0 0 | 0 1 2 0 0
.. xx3oo .. ..&#x ♦ 3 3 | 0 3 3 0 3 0 | 0 1 0 0 3 0 0 0 1 0 0 | * * * * * * 160 * * * * * * * | 0 0 0 1 0 0 2 0 0 0 0 | 0 2 0 1 0
.. xx .. *b3ox ..&#x ♦ 3 6 | 0 3 6 0 3 3 | 0 0 1 0 3 3 0 0 0 1 0 | * * * * * * * 320 * * * * * * | 0 0 0 0 1 0 1 1 0 0 0 | 0 1 1 1 0
.. .. .. ox3oo&#x ♦ 1 3 | 0 0 3 0 0 3 | 0 0 0 0 0 3 0 0 0 0 1 | * * * * * * * * 160 * * * * * | 0 0 0 0 0 1 0 2 0 0 0 | 0 0 2 1 0
.x3.x3.o .. .. ♦ 0 12 | 0 0 0 6 12 0 | 0 0 0 0 0 0 4 0 4 0 0 | * * * * * * * * * 40 * * * * | 0 0 0 1 0 0 0 0 2 0 0 | 0 2 0 0 1
.x3.x .. *b3.x .. ♦ 0 24 | 0 0 0 12 12 12 | 0 0 0 0 0 0 4 6 0 4 0 | * * * * * * * * * * 80 * * * | 0 0 0 0 1 0 0 0 1 1 0 | 0 1 1 0 1
.x .. .. .x3.o ♦ 0 6 | 0 0 0 3 0 6 | 0 0 0 0 0 0 0 3 0 0 2 | * * * * * * * * * * * 80 * * | 0 0 0 0 0 1 0 0 0 2 0 | 0 0 2 0 1
.. .x3.o *b3.x .. ♦ 0 12 | 0 0 0 0 12 6 | 0 0 0 0 0 0 0 0 4 4 0 | * * * * * * * * * * * * 80 * | 0 0 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1
.. .x .. *b3.x3.o ♦ 0 12 | 0 0 0 0 6 12 | 0 0 0 0 0 0 0 0 0 4 4 | * * * * * * * * * * * * * 80 | 0 0 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1
---------------------+---------+------------------------+---------------------------------------------+------------------------------------------------+----------------------------------+-------------
x.3x.3o. *b3o. .. ♦ 48 0 | 24 96 0 0 0 0 | 32 32 32 0 0 0 0 0 0 0 0 | 8 8 8 0 0 0 0 0 0 0 0 0 0 0 | 10 * * * * * * * * * * | 1 1 0 0 0
x.3x. .. *b3o.3o. ♦ 20 0 | 10 30 0 0 0 0 | 10 0 20 0 0 0 0 0 0 0 0 | 0 5 0 5 0 0 0 0 0 0 0 0 0 0 | * 16 * * * * * * * * * | 1 0 1 0 0
.. x.3o. *b3o.3o. ♦ 10 0 | 0 30 0 0 0 0 | 0 10 20 0 0 0 0 0 0 0 0 | 0 0 5 5 0 0 0 0 0 0 0 0 0 0 | * * 16 * * * * * * * * | 1 0 0 1 0
xx3xx3oo .. ..&#x ♦ 12 12 | 6 12 12 6 12 0 | 4 4 0 6 12 0 4 0 4 0 0 | 1 0 0 0 4 0 4 0 0 1 0 0 0 0 | * * * 40 * * * * * * * | 0 2 0 0 0
xx3xx .. *b3ox ..&#x ♦ 12 24 | 6 12 24 12 12 12 | 4 0 4 12 12 12 4 6 0 4 0 | 0 1 0 0 4 6 0 4 0 0 1 0 0 0 | * * * * 80 * * * * * * | 0 1 1 0 0
xx .. .. ox3oo&#x ♦ 2 6 | 1 0 6 3 0 6 | 0 0 0 3 0 6 0 3 0 0 2 | 0 0 0 0 0 3 0 0 2 0 0 1 0 0 | * * * * * 80 * * * * * | 0 0 2 0 0
.. xx3oo *b3ox ..&#x ♦ 6 12 | 0 12 12 0 12 6 | 0 4 4 0 12 6 0 0 4 4 0 | 0 0 1 0 0 0 4 4 0 0 0 0 1 0 | * * * * * * 80 * * * * | 0 1 0 1 0
.. xx .. *b3ox3oo&#x ♦ 4 12 | 0 6 12 0 6 12 | 0 0 4 0 6 12 0 0 0 4 4 | 0 0 0 1 0 0 0 4 4 0 0 0 0 1 | * * * * * * * 80 * * * | 0 0 1 1 0
.x3.x3.o *b3.x .. ♦ 0 96 | 0 0 0 48 96 48 | 0 0 0 0 0 0 32 24 32 32 0 | 0 0 0 0 0 0 0 0 0 8 8 0 8 0 | * * * * * * * * 10 * * | 0 1 0 0 1
.x3.x .. *b3.x3.o ♦ 0 60 | 0 0 0 30 30 60 | 0 0 0 0 0 0 10 30 0 20 20 | 0 0 0 0 0 0 0 0 0 0 5 10 0 5 | * * * * * * * * * 16 * | 0 0 1 0 1
.. .x3.o *b3.x3.o ♦ 0 30 | 0 0 0 0 30 30 | 0 0 0 0 0 0 0 0 10 20 10 | 0 0 0 0 0 0 0 0 0 0 0 0 5 5 | * * * * * * * * * * 16 | 0 0 0 1 1
---------------------+---------+------------------------+---------------------------------------------+------------------------------------------------+----------------------------------+-------------
x.3x.3o. *b3o.3o. ♦ 160 0 | 80 480 0 0 0 0 | 160 160 320 0 0 0 0 0 0 0 0 | 40 80 80 80 0 0 0 0 0 0 0 0 0 0 | 10 16 16 0 0 0 0 0 0 0 0 | 1 * * * *
xx3xx3oo *b3ox ..&#x ♦ 48 96 | 24 96 96 48 96 48 | 32 32 32 48 96 48 32 24 32 32 0 | 8 8 8 0 32 24 32 32 0 8 8 0 8 0 | 1 0 0 8 8 0 8 0 1 0 0 | * 10 * * *
xx3xx .. *b3ox3oo&#x ♦ 20 60 | 10 30 60 30 30 60 | 10 0 20 30 30 60 10 30 0 20 20 | 0 5 0 5 10 30 0 20 20 0 5 10 0 5 | 0 1 0 0 5 10 0 5 0 1 0 | * * 16 * *
.. xx3oo *b3ox3oo&#x ♦ 10 30 | 0 30 30 0 30 30 | 0 10 20 0 30 30 0 0 10 20 10 | 0 0 5 5 0 0 10 20 10 0 0 0 5 5 | 0 0 1 0 0 0 5 5 0 0 1 | * * * 16 *
.x3.x3.o *b3.x3.o ♦ 0 480 | 0 0 0 240 480 480 | 0 0 0 0 0 0 160 240 160 320 160 | 0 0 0 0 0 0 0 0 0 40 80 80 80 80 | 0 0 0 0 0 0 0 0 10 16 16 | * * * * 1
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