Acronym | ..., deca || gippid |
Name | (degenerate) deca atop gippid |
Circumradius | ∞ i.e. flat in euclidean space |
Face vector | 150, 420, 430, 190, 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
ox3xx3xx3ox&#x → height = 0
(deca || gippid)
o.3o.3o.3o. | 30 * | 2 2 4 0 0 0 0 | 1 4 1 2 4 4 2 0 0 0 0 0 0 | 2 2 2 2 1 4 2 2 0 0 0 0 | 1 2 1 1 2 0
.o3.o3.o3.o | * 120 | 0 0 1 1 1 1 1 | 0 0 0 1 1 1 1 1 1 1 1 1 1 | 0 0 1 1 1 1 1 1 1 1 1 1 | 0 1 1 1 1 1
---------------+--------+-----------------------+----------------------------------------+---------------------------------+--------------
.. x. .. .. | 2 0 | 30 * * * * * * | 1 2 0 0 2 0 0 0 0 0 0 0 0 | 2 1 2 0 0 2 1 0 0 0 0 0 | 1 2 1 0 1 0
.. .. x. .. | 2 0 | * 30 * * * * * | 0 2 1 0 0 2 0 0 0 0 0 0 0 | 1 2 0 1 0 2 0 2 0 0 0 0 | 1 1 0 1 2 0
oo3oo3oo3oo&#x | 1 1 | * * 120 * * * * | 0 0 0 1 1 1 1 0 0 0 0 0 0 | 0 0 1 1 1 1 1 1 0 0 0 0 | 0 1 1 1 1 0
.x .. .. .. | 0 2 | * * * 60 * * * | 0 0 0 1 0 0 0 1 1 1 0 0 0 | 0 0 1 1 1 0 0 0 1 1 1 0 | 0 1 1 1 0 1
.. .x .. .. | 0 2 | * * * * 60 * * | 0 0 0 0 1 0 0 1 0 0 1 1 0 | 0 0 1 0 0 1 1 0 1 1 0 1 | 0 1 1 0 1 1
.. .. .x .. | 0 2 | * * * * * 60 * | 0 0 0 0 0 1 0 0 1 0 1 0 1 | 0 0 0 1 0 1 0 1 1 0 1 1 | 0 1 0 1 1 1
.. .. .. .x | 0 2 | * * * * * * 60 | 0 0 0 0 0 0 1 0 0 1 0 1 1 | 0 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 0 0 | 10 * * * * * * * * * * * * | 2 0 2 0 0 0 0 0 0 0 0 0 | 1 2 1 0 0 0
.. x.3x. .. | 6 0 | 3 3 0 0 0 0 0 | * 20 * * * * * * * * * * * | 1 1 0 0 0 1 0 0 0 0 0 0 | 1 1 0 0 1 0
.. .. x.3o. | 3 0 | 0 3 0 0 0 0 0 | * * 10 * * * * * * * * * * | 0 2 0 0 0 0 0 2 0 0 0 0 | 1 0 0 1 2 0
ox .. .. ..&#x | 1 2 | 0 0 2 1 0 0 0 | * * * 60 * * * * * * * * * | 0 0 1 1 1 0 0 0 0 0 0 0 | 0 1 1 1 0 0
.. xx .. ..&#x | 2 2 | 1 0 2 0 1 0 0 | * * * * 60 * * * * * * * * | 0 0 1 0 0 1 1 0 0 0 0 0 | 0 1 1 0 1 0
.. .. xx ..&#x | 2 2 | 0 1 2 0 0 1 0 | * * * * * 60 * * * * * * * | 0 0 0 1 0 1 0 1 0 0 0 0 | 0 1 0 1 1 0
.. .. .. ox&#x | 1 2 | 0 0 2 0 0 0 1 | * * * * * * 60 * * * * * * | 0 0 0 0 1 0 1 1 0 0 0 0 | 0 0 1 1 1 0
.x3.x .. .. | 0 6 | 0 0 0 3 3 0 0 | * * * * * * * 20 * * * * * | 0 0 1 0 0 0 0 0 1 1 0 0 | 0 1 1 0 0 1
.x .. .x .. | 0 4 | 0 0 0 2 0 2 0 | * * * * * * * * 30 * * * * | 0 0 0 1 0 0 0 0 1 0 1 0 | 0 1 0 1 0 1
.x .. .. .x | 0 4 | 0 0 0 2 0 0 2 | * * * * * * * * * 30 * * * | 0 0 0 0 1 0 0 0 0 1 1 0 | 0 0 1 1 0 1
.. .x3.x .. | 0 6 | 0 0 0 0 3 3 0 | * * * * * * * * * * 20 * * | 0 0 0 0 0 1 0 0 1 0 0 1 | 0 1 0 0 1 1
.. .x .. .x | 0 4 | 0 0 0 0 2 0 2 | * * * * * * * * * * * 30 * | 0 0 0 0 0 0 1 0 0 1 0 1 | 0 0 1 0 1 1
.. .. .x3.x | 0 6 | 0 0 0 0 0 3 3 | * * * * * * * * * * * * 20 | 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1
---------------+--------+-----------------------+----------------------------------------+---------------------------------+--------------
o.3x.3x. .. ♦ 12 0 | 12 6 0 0 0 0 0 | 4 4 0 0 0 0 0 0 0 0 0 0 0 | 5 * * * * * * * * * * * | 1 1 0 0 0 0
.. x.3x.3o. ♦ 12 0 | 6 12 0 0 0 0 0 | 0 4 4 0 0 0 0 0 0 0 0 0 0 | * 5 * * * * * * * * * * | 1 0 0 0 1 0
ox3xx .. ..&#x ♦ 3 6 | 3 0 6 3 3 0 0 | 1 0 0 3 3 0 0 1 0 0 0 0 0 | * * 20 * * * * * * * * * | 0 1 1 0 0 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 0 | * * * 30 * * * * * * * * | 0 1 0 1 0 0
ox .. .. ox&#x ♦ 1 4 | 0 0 4 2 0 0 2 | 0 0 0 2 0 0 2 0 0 1 0 0 0 | * * * * 30 * * * * * * * | 0 0 1 1 0 0
.. xx3xx ..&#x ♦ 6 6 | 3 3 6 0 3 3 0 | 0 1 0 0 3 3 0 0 0 0 1 0 0 | * * * * * 20 * * * * * * | 0 1 0 0 1 0
.. xx .. ox&#x ♦ 2 4 | 1 0 4 0 2 0 2 | 0 0 0 0 2 0 2 0 0 0 0 1 0 | * * * * * * 30 * * * * * | 0 0 1 0 1 0
.. .. xx3ox&#x ♦ 3 6 | 0 3 6 0 0 3 3 | 0 0 1 0 0 3 3 0 0 0 0 0 1 | * * * * * * * 20 * * * * | 0 0 0 1 1 0
.x3.x3.x .. ♦ 0 24 | 0 0 0 12 12 12 0 | 0 0 0 0 0 0 0 4 6 0 4 0 0 | * * * * * * * * 5 * * * | 0 1 0 0 0 1
.x3.x .. .x ♦ 0 12 | 0 0 0 6 6 0 6 | 0 0 0 0 0 0 0 2 0 3 0 3 0 | * * * * * * * * * 10 * * | 0 0 1 0 0 1
.x .. .x3.x ♦ 0 12 | 0 0 0 6 0 6 6 | 0 0 0 0 0 0 0 0 3 3 0 0 2 | * * * * * * * * * * 10 * | 0 0 0 1 0 1
.. .x3.x3.x ♦ 0 24 | 0 0 0 0 12 12 12 | 0 0 0 0 0 0 0 0 0 0 4 6 4 | * * * * * * * * * * * 5 | 0 0 0 0 1 1
---------------+--------+-----------------------+----------------------------------------+---------------------------------+--------------
o.3x.3x.3o. ♦ 30 0 | 30 30 0 0 0 0 0 | 10 20 10 0 0 0 0 0 0 0 0 0 0 | 5 5 0 0 0 0 0 0 0 0 0 0 | 1 * * * * *
ox3xx3xx ..&#x ♦ 12 24 | 12 6 24 12 12 12 0 | 4 4 0 12 12 12 0 4 6 0 4 0 0 | 1 0 4 6 0 4 0 0 1 0 0 0 | * 5 * * * *
ox3xx .. ox&#x ♦ 3 12 | 3 0 12 6 6 0 6 | 1 0 0 6 6 0 6 2 0 3 0 3 0 | 0 0 2 0 3 0 3 0 0 1 0 0 | * * 10 * * *
ox .. xx3ox&#x ♦ 3 12 | 0 3 12 6 0 6 6 | 0 0 1 6 0 6 6 0 3 3 0 0 2 | 0 0 0 3 3 0 0 2 0 0 1 0 | * * * 10 * *
.. xx3xx3ox&#x ♦ 12 24 | 6 12 24 0 12 12 12 | 0 4 4 0 12 12 12 0 0 0 4 6 4 | 0 1 0 0 0 4 6 4 0 0 0 1 | * * * * 5 *
.x3.x3.x3.x ♦ 0 120 | 0 0 0 60 60 60 60 | 0 0 0 0 0 0 0 20 30 30 20 30 20 | 0 0 0 0 0 0 0 0 5 10 10 5 | * * * * * 1
or o.3o.3o.3o. | 30 * | 4 4 0 0 | 2 4 4 8 0 0 0 0 | 4 4 4 1 4 0 0 | 1 4 2 0 .o3.o3.o3.o | * 120 | 0 1 2 2 | 0 0 2 2 2 2 1 1 | 0 2 2 1 1 2 2 | 0 2 2 1 -----------------+--------+----------------+---------------------------+----------------------+---------- .. x. .. .. & | 2 0 | 60 * * * | 1 2 0 2 0 0 0 0 | 3 2 1 0 2 0 0 | 1 3 1 0 oo3oo3oo3oo&#x | 1 1 | * 120 * * | 0 0 2 2 0 0 0 0 | 0 2 2 1 1 0 0 | 0 2 2 0 .x .. .. .. & | 0 2 | * * 120 * | 0 0 1 0 1 1 1 0 | 0 1 1 1 0 1 2 | 0 1 2 1 .. .x .. .. & | 0 2 | * * * 120 | 0 0 0 1 1 1 0 1 | 0 1 1 0 1 2 1 | 0 2 1 1 -----------------+--------+----------------+---------------------------+----------------------+---------- o.3x. .. .. & | 3 0 | 3 0 0 0 | 20 * * * * * * * | 2 2 0 0 0 0 0 | 1 2 1 0 .. x.3x. .. | 6 0 | 6 0 0 0 | * 20 * * * * * * | 2 0 0 0 1 0 0 | 1 2 0 0 ox .. .. ..&#x & | 1 2 | 0 2 1 0 | * * 120 * * * * * | 0 1 1 1 0 0 0 | 0 1 2 0 .. xx .. ..&#x & | 2 2 | 1 2 0 1 | * * * 120 * * * * | 0 1 1 0 1 0 0 | 0 2 1 0 .x3.x .. .. & | 0 6 | 0 0 3 3 | * * * * 40 * * * | 0 1 0 0 0 1 1 | 0 1 1 1 .x .. .x .. & | 0 4 | 0 0 2 2 | * * * * * 60 * * | 0 0 1 0 0 1 1 | 0 1 1 1 .x .. .. .x | 0 4 | 0 0 4 0 | * * * * * * 30 * | 0 0 0 1 0 0 2 | 0 0 2 1 .. .x3.x .. | 0 6 | 0 0 0 6 | * * * * * * * 20 | 0 0 0 0 1 2 0 | 0 2 0 1 -----------------+--------+----------------+---------------------------+----------------------+---------- o.3x.3x. .. & ♦ 12 0 | 18 0 0 0 | 4 4 0 0 0 0 0 0 | 10 * * * * * * | 1 1 0 0 ox3xx .. ..&#x & ♦ 3 6 | 3 6 3 3 | 1 0 3 3 1 0 0 0 | * 40 * * * * * | 0 1 1 0 ox .. xx ..&#x & ♦ 2 4 | 1 4 2 2 | 0 0 2 2 0 1 0 0 | * * 60 * * * * | 0 1 1 0 ox .. .. ox&#x ♦ 1 4 | 0 4 4 0 | 0 0 4 0 0 0 1 0 | * * * 30 * * * | 0 0 2 0 .. xx3xx ..&#x ♦ 6 6 | 6 6 0 6 | 0 1 0 6 0 0 0 1 | * * * * 20 * * | 0 2 0 0 .x3.x3.x .. & ♦ 0 24 | 0 0 12 24 | 0 0 0 0 4 6 0 4 | * * * * * 10 * | 0 1 0 1 .x3.x .. .x & ♦ 0 12 | 0 0 12 6 | 0 0 0 0 2 3 3 0 | * * * * * * 20 | 0 0 1 1 -----------------+--------+----------------+---------------------------+----------------------+---------- o.3x.3x.3o. ♦ 30 0 | 60 0 0 0 | 20 20 0 0 0 0 0 0 | 10 0 0 0 0 0 0 | 1 * * * ox3xx3xx ..&#x & ♦ 12 24 | 18 24 12 24 | 4 4 12 24 4 6 0 4 | 1 4 6 0 4 1 0 | * 10 * * ox3xx .. ox&#x & ♦ 3 12 | 3 12 12 6 | 1 0 12 6 2 3 3 0 | 0 2 3 3 0 0 1 | * * 20 * .x3.x3.x3.x ♦ 0 120 | 0 0 120 120 | 0 0 0 0 40 60 30 20 | 0 0 0 0 0 10 20 | * * * 1
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