| Acronym | ricoatico |
| Name | (degenerate) rico atop tico |
| Circumradius | ∞ i.e. flat in euclidean space |
| Face vector | 288, 864, 864, 336, 50 |
| 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
ox3xx4oo3oo&#x → height = 0
(rico || tico)
o.3o.4o.3o. | 96 * | 6 2 0 0 | 3 6 1 6 0 0 | 3 2 3 6 0 0 | 1 3 2 0
.o3.o4.o3.o | * 192 | 0 1 1 3 | 0 0 1 3 3 3 | 0 0 3 3 3 1 | 0 3 1 1
---------------+--------+----------------+----------------------+--------------------+----------
.. x. .. .. | 2 0 | 288 * * * | 1 2 0 1 0 0 | 2 1 1 2 0 0 | 1 2 2 0
oo3oo4oo3oo&#x | 1 1 | * 192 * * | 0 0 1 3 0 0 | 0 0 3 3 0 0 | 0 3 1 0
.x .. .. .. | 0 2 | * * 96 * | 0 0 1 0 3 0 | 0 0 3 0 3 0 | 0 3 0 1
.. .x .. .. | 0 2 | * * * 288 | 0 0 0 1 1 2 | 0 0 1 2 2 1 | 0 2 1 1
---------------+--------+----------------+----------------------+--------------------+----------
o.3x. .. .. | 3 0 | 3 0 0 0 | 96 * * * * * | 2 0 1 0 0 0 | 1 2 0 0
.. x.4o. .. | 4 0 | 4 0 0 0 | * 144 * * * * | 1 1 0 1 0 0 | 1 1 1 0
ox .. .. ..&#x | 1 2 | 0 2 1 0 | * * 96 * * * | 0 0 3 0 0 0 | 0 3 0 0
.. xx .. ..&#x | 2 2 | 1 2 0 1 | * * * 288 * * | 0 0 1 2 0 0 | 0 2 1 0
.x3.x .. .. | 0 6 | 0 0 3 3 | * * * * 96 * | 0 0 1 0 2 0 | 0 2 0 1
.. .x4.o .. | 0 4 | 0 0 0 4 | * * * * * 144 | 0 0 0 1 1 1 | 0 1 1 1
---------------+--------+----------------+----------------------+--------------------+----------
o.3x.4o. .. ♦ 12 0 | 24 0 0 0 | 8 6 0 0 0 0 | 24 * * * * * | 1 1 0 0
.. x.4o.3o. ♦ 8 0 | 12 0 0 0 | 0 6 0 0 0 0 | * 24 * * * * | 1 0 1 0
ox3xx .. ..&#x ♦ 3 6 | 3 6 3 3 | 1 0 3 3 1 0 | * * 96 * * * | 0 2 0 0
.. xx4oo ..&#x ♦ 4 4 | 4 4 0 4 | 0 1 0 4 0 1 | * * * 144 * * | 0 1 1 0
.x3.x4.o .. ♦ 0 24 | 0 0 12 24 | 0 0 0 0 8 6 | * * * * 24 * | 0 1 0 1
.. .x4.o3.o ♦ 0 8 | 0 0 0 12 | 0 0 0 0 0 6 | * * * * * 24 | 0 0 1 1
---------------+--------+----------------+----------------------+--------------------+----------
o.3x.4o.3o. ♦ 96 0 | 288 0 0 0 | 96 144 0 0 0 0 | 24 24 0 0 0 0 | 1 * * *
ox3xx4oo ..&#x ♦ 12 24 | 24 24 12 24 | 8 6 12 24 8 6 | 1 0 8 6 1 0 | * 24 * *
.. xx4oo3oo&#x ♦ 8 8 | 12 8 0 12 | 0 6 0 12 0 6 | 0 1 0 6 0 1 | * * 24 *
.x3.x4.o3.o ♦ 0 192 | 0 0 96 288 | 0 0 0 0 96 144 | 0 0 0 0 24 24 | * * * 1
xx3ox3xx4oo&#x → height = 0
(rico || tico)
o.3o.3o.4o. | 96 * | 2 4 2 0 0 0 | 1 4 2 2 2 1 4 0 0 0 0 | 2 2 1 1 4 2 2 0 0 0 | 1 2 2 1 0
.o3.o3.o4.o | * 192 | 0 0 1 1 1 2 | 0 0 0 0 1 1 2 1 2 2 1 | 0 0 0 1 2 2 1 2 1 1 | 0 1 1 1 1
---------------+--------+----------------------+-----------------------------------+-----------------------------+------------
x. .. .. .. | 2 0 | 96 * * * * * | 1 2 0 0 1 0 0 0 0 0 0 | 2 1 0 1 2 0 0 0 0 0 | 1 2 1 0 0
.. .. x. .. | 2 0 | * 192 * * * * | 0 1 1 1 0 0 1 0 0 0 0 | 1 1 1 0 1 1 1 0 0 0 | 1 1 1 1 0
oo3oo3oo4oo&#x | 1 1 | * * 192 * * * | 0 0 0 0 1 1 2 0 0 0 0 | 0 0 0 1 2 2 1 0 0 0 | 0 2 1 1 0
.x .. .. .. | 0 2 | * * * 96 * * | 0 0 0 0 1 0 0 1 2 0 0 | 0 0 0 1 2 0 0 2 1 0 | 0 2 1 0 1
.. .x .. .. | 0 2 | * * * * 96 * | 0 0 0 0 0 1 0 1 0 2 0 | 0 0 0 1 0 2 0 2 0 1 | 0 2 0 1 1
.. .. .x .. | 0 2 | * * * * * 192 | 0 0 0 0 0 0 1 0 1 1 1 | 0 0 0 0 1 1 1 1 1 1 | 0 1 1 1 1
---------------+--------+----------------------+-----------------------------------+-----------------------------+------------
x.3o. .. .. | 3 0 | 3 0 0 0 0 0 | 32 * * * * * * * * * * | 2 0 0 1 0 0 0 0 0 0 | 1 2 0 0 0
x. .. x. .. | 4 0 | 2 2 0 0 0 0 | * 96 * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 | 1 1 1 0 0
.. o.3x. .. | 3 0 | 0 3 0 0 0 0 | * * 64 * * * * * * * * | 1 0 1 0 0 1 0 0 0 0 | 1 1 0 1 0
.. .. x.4o. | 4 0 | 0 4 0 0 0 0 | * * * 48 * * * * * * * | 0 1 1 0 0 0 1 0 0 0 | 1 0 1 1 0
xx .. .. ..&#x | 2 2 | 1 0 2 1 0 0 | * * * * 96 * * * * * * | 0 0 0 1 2 0 0 0 0 0 | 0 2 1 0 0
.. ox .. ..&#x | 1 2 | 0 0 2 0 1 0 | * * * * * 96 * * * * * | 0 0 0 1 0 2 0 0 0 0 | 0 2 0 1 0
.. .. xx ..&#x | 2 2 | 0 1 2 0 0 1 | * * * * * * 192 * * * * | 0 0 0 0 1 1 1 0 0 0 | 0 1 1 1 0
.x3.x .. .. | 0 6 | 0 0 0 3 3 0 | * * * * * * * 32 * * * | 0 0 0 1 0 0 0 2 0 0 | 0 2 0 0 1
.x .. .x .. | 0 4 | 0 0 0 2 0 2 | * * * * * * * * 96 * * | 0 0 0 0 1 0 0 1 1 0 | 0 1 1 0 1
.. .x3.x .. | 0 6 | 0 0 0 0 3 3 | * * * * * * * * * 64 * | 0 0 0 0 0 1 0 1 0 1 | 0 1 0 1 1
.. .. .x4.o | 0 4 | 0 0 0 0 0 4 | * * * * * * * * * * 48 | 0 0 0 0 0 0 1 0 1 1 | 0 0 1 1 1
---------------+--------+----------------------+-----------------------------------+-----------------------------+------------
x.3o.3x. .. ♦ 12 0 | 12 12 0 0 0 0 | 4 6 4 0 0 0 0 0 0 0 0 | 16 * * * * * * * * * | 1 1 0 0 0
x. .. x.4o. ♦ 8 0 | 4 8 0 0 0 0 | 0 4 0 2 0 0 0 0 0 0 0 | * 24 * * * * * * * * | 1 0 1 0 0
.. o.3x.4o. ♦ 12 0 | 0 24 0 0 0 0 | 0 0 8 6 0 0 0 0 0 0 0 | * * 8 * * * * * * * | 1 0 0 1 0
xx3ox .. ..&#x ♦ 3 6 | 3 0 6 3 3 0 | 1 0 0 0 3 3 0 1 0 0 0 | * * * 32 * * * * * * | 0 2 0 0 0
xx .. xx ..&#x ♦ 4 4 | 2 2 4 2 0 2 | 0 1 0 0 2 0 2 0 1 0 0 | * * * * 96 * * * * * | 0 1 1 0 0
.. ox3xx ..&#x ♦ 3 6 | 0 3 6 0 3 3 | 0 0 1 0 0 3 3 0 0 1 0 | * * * * * 64 * * * * | 0 1 0 1 0
.. .. xx4oo&#x ♦ 4 4 | 0 4 4 0 0 4 | 0 0 0 1 0 0 4 0 0 0 1 | * * * * * * 48 * * * | 0 0 1 1 0
.x3.x3.x .. ♦ 0 24 | 0 0 0 12 12 12 | 0 0 0 0 0 0 0 4 6 4 0 | * * * * * * * 16 * * | 0 1 0 0 1
.x .. .x4.o ♦ 0 8 | 0 0 0 4 0 8 | 0 0 0 0 0 0 0 0 4 0 2 | * * * * * * * * 24 * | 0 0 1 0 1
.. .x3.x4.o ♦ 0 24 | 0 0 0 0 12 24 | 0 0 0 0 0 0 0 0 0 8 6 | * * * * * * * * * 8 | 0 0 0 1 1
---------------+--------+----------------------+-----------------------------------+-----------------------------+------------
x.3o.3x.4o. ♦ 96 0 | 96 192 0 0 0 0 | 32 96 64 48 0 0 0 0 0 0 0 | 16 24 8 0 0 0 0 0 0 0 | 1 * * * *
xx3ox3xx ..&#x ♦ 12 24 | 12 12 24 12 12 12 | 4 6 4 0 12 12 12 4 6 4 0 | 1 0 0 4 6 4 0 1 0 0 | * 16 * * *
xx .. xx4oo&#x ♦ 8 8 | 4 8 8 4 0 8 | 0 4 0 2 4 0 8 0 4 0 2 | 0 1 0 0 4 0 2 0 1 0 | * * 24 * *
.. ox3xx4oo&#x ♦ 12 24 | 0 24 24 0 12 24 | 0 0 8 6 0 12 24 0 0 8 6 | 0 0 1 0 0 8 6 0 0 1 | * * * 8 *
.x3.x3.x4.o ♦ 0 192 | 0 0 0 96 96 192 | 0 0 0 0 0 0 0 32 96 64 48 | 0 0 0 0 0 0 0 16 24 8 | * * * * 1
xx3ox3xx *b3xx&#x → height = 0
(rico || tico)
o.3o.3o. *b3o. | 96 * | 2 2 2 2 0 0 0 0 | 1 2 2 1 1 2 2 1 2 2 0 0 0 0 0 0 | 1 1 2 1 1 2 2 1 1 2 0 0 0 0 | 1 1 1 2 1 0
.o3.o3.o *b3.o | * 192 | 0 0 0 1 1 1 1 1 | 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 | 0 0 0 0 1 1 1 1 1 1 1 1 1 1 | 0 1 1 1 1 1
------------------+--------+--------------------------+-------------------------------------------------+-------------------------------------+-------------
x. .. .. .. | 2 0 | 96 * * * * * * * | 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 | 1 1 1 0 1 1 1 0 0 0 0 0 0 0 | 1 1 1 1 0 0
.. .. x. .. | 2 0 | * 96 * * * * * * | 0 1 0 1 0 1 0 0 1 0 0 0 0 0 0 0 | 1 0 1 1 0 1 0 1 0 1 0 0 0 0 | 1 1 0 1 1 0
.. .. .. x. | 2 0 | * * 96 * * * * * | 0 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 | 0 1 1 1 0 0 1 0 1 1 0 0 0 0 | 1 0 1 1 1 0
oo3oo3oo *b3oo&#x | 1 1 | * * * 192 * * * * | 0 0 0 0 0 0 1 1 1 1 0 0 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 | * * * * 96 * * * | 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 | 0 0 0 0 1 1 1 0 0 0 1 1 1 0 | 0 1 1 1 0 1
.. .x .. .. | 0 2 | * * * * * 96 * * | 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 0 | 0 0 0 0 1 0 0 1 1 0 1 1 0 1 | 0 1 1 0 1 1
.. .. .x .. | 0 2 | * * * * * * 96 * | 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 | 0 0 0 0 0 1 0 1 0 1 1 0 1 1 | 0 1 0 1 1 1
.. .. .. .x | 0 2 | * * * * * * * 96 | 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 | 0 0 0 0 0 0 1 0 1 1 0 1 1 1 | 0 0 1 1 1 1
------------------+--------+--------------------------+-------------------------------------------------+-------------------------------------+-------------
x.3o. .. .. | 3 0 | 3 0 0 0 0 0 0 0 | 32 * * * * * * * * * * * * * * * | 1 1 0 0 1 0 0 0 0 0 0 0 0 0 | 1 1 1 0 0 0
x. .. x. .. | 4 0 | 2 2 0 0 0 0 0 0 | * 48 * * * * * * * * * * * * * * | 1 0 1 0 0 1 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0
x. .. .. x. | 4 0 | 2 0 2 0 0 0 0 0 | * * 48 * * * * * * * * * * * * * | 0 1 1 0 0 0 1 0 0 0 0 0 0 0 | 1 0 1 1 0 0
.. o.3x. .. | 3 0 | 0 3 0 0 0 0 0 0 | * * * 32 * * * * * * * * * * * * | 1 0 0 1 0 0 0 1 0 0 0 0 0 0 | 1 1 0 0 1 0
.. o. .. *b3x. | 3 0 | 0 0 3 0 0 0 0 0 | * * * * 32 * * * * * * * * * * * | 0 1 0 1 0 0 0 0 1 0 0 0 0 0 | 1 0 1 0 1 0
.. .. x. x. | 4 0 | 0 2 2 0 0 0 0 0 | * * * * * 48 * * * * * * * * * * | 0 0 1 1 0 0 0 0 0 1 0 0 0 0 | 1 0 0 1 1 0
xx .. .. ..&#x | 2 2 | 1 0 0 2 1 0 0 0 | * * * * * * 96 * * * * * * * * * | 0 0 0 0 1 1 1 0 0 0 0 0 0 0 | 0 1 1 1 0 0
.. ox .. ..&#x | 1 2 | 0 0 0 2 0 1 0 0 | * * * * * * * 96 * * * * * * * * | 0 0 0 0 1 0 0 1 1 0 0 0 0 0 | 0 1 1 0 1 0
.. .. xx ..&#x | 2 2 | 0 1 0 2 0 0 1 0 | * * * * * * * * 96 * * * * * * * | 0 0 0 0 0 1 0 1 0 1 0 0 0 0 | 0 1 0 1 1 0
.. .. .. xx&#x | 2 2 | 0 0 1 2 0 0 0 1 | * * * * * * * * * 96 * * * * * * | 0 0 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 0 3 3 0 0 | * * * * * * * * * * 32 * * * * * | 0 0 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 0 2 0 2 0 | * * * * * * * * * * * 48 * * * * | 0 0 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 0 2 0 0 2 | * * * * * * * * * * * * 48 * * * | 0 0 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 0 3 3 0 | * * * * * * * * * * * * * 32 * * | 0 0 0 0 0 0 0 1 0 0 1 0 0 1 | 0 1 0 0 1 1
.. .x .. *b3.x | 0 6 | 0 0 0 0 0 3 0 3 | * * * * * * * * * * * * * * 32 * | 0 0 0 0 0 0 0 0 1 0 0 1 0 1 | 0 0 1 0 1 1
.. .. .x .x | 0 4 | 0 0 0 0 0 0 2 2 | * * * * * * * * * * * * * * * 48 | 0 0 0 0 0 0 0 0 0 1 0 0 1 1 | 0 0 0 1 1 1
------------------+--------+--------------------------+-------------------------------------------------+-------------------------------------+-------------
x.3o.3x. .. ♦ 12 0 | 12 12 0 0 0 0 0 0 | 4 6 0 4 0 0 0 0 0 0 0 0 0 0 0 0 | 8 * * * * * * * * * * * * * | 1 1 0 0 0 0
x.3o. .. *b3x. ♦ 12 0 | 12 0 12 0 0 0 0 0 | 4 0 6 0 4 0 0 0 0 0 0 0 0 0 0 0 | * 8 * * * * * * * * * * * * | 1 0 1 0 0 0
x. .. x. x. ♦ 8 0 | 4 4 4 0 0 0 0 0 | 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 | * * 24 * * * * * * * * * * * | 1 0 0 1 0 0
.. o.3x. *b3x. ♦ 12 0 | 0 12 12 0 0 0 0 0 | 0 0 0 4 4 6 0 0 0 0 0 0 0 0 0 0 | * * * 8 * * * * * * * * * * | 1 0 0 0 1 0
xx3ox .. ..&#x ♦ 3 6 | 3 0 0 6 3 3 0 0 | 1 0 0 0 0 0 3 3 0 0 1 0 0 0 0 0 | * * * * 32 * * * * * * * * * | 0 1 1 0 0 0
xx .. xx ..&#x ♦ 4 4 | 2 2 0 4 2 0 2 0 | 0 1 0 0 0 0 2 0 2 0 0 1 0 0 0 0 | * * * * * 48 * * * * * * * * | 0 1 0 1 0 0
xx .. .. xx&#x ♦ 4 4 | 2 0 2 4 2 0 0 2 | 0 0 1 0 0 0 2 0 0 2 0 0 1 0 0 0 | * * * * * * 48 * * * * * * * | 0 0 1 1 0 0
.. ox3xx ..&#x ♦ 3 6 | 0 3 0 6 0 3 3 0 | 0 0 0 1 0 0 0 3 3 0 0 0 0 1 0 0 | * * * * * * * 32 * * * * * * | 0 1 0 0 1 0
.. ox .. *b3xx&#x ♦ 3 6 | 0 0 3 6 0 3 0 3 | 0 0 0 0 1 0 0 3 0 3 0 0 0 0 1 0 | * * * * * * * * 32 * * * * * | 0 0 1 0 1 0
.. .. xx xx&#x ♦ 4 4 | 0 2 2 4 0 0 2 2 | 0 0 0 0 0 1 0 0 2 2 0 0 0 0 0 1 | * * * * * * * * * 48 * * * * | 0 0 0 1 1 0
.x3.x3.x .. ♦ 0 24 | 0 0 0 0 12 12 12 0 | 0 0 0 0 0 0 0 0 0 0 4 6 0 4 0 0 | * * * * * * * * * * 8 * * * | 0 1 0 0 0 1
.x3.x .. *b3.x ♦ 0 24 | 0 0 0 0 12 12 0 12 | 0 0 0 0 0 0 0 0 0 0 4 0 6 0 4 0 | * * * * * * * * * * * 8 * * | 0 0 1 0 0 1
.x .. .x .x ♦ 0 8 | 0 0 0 0 4 0 4 4 | 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 2 | * * * * * * * * * * * * 24 * | 0 0 0 1 0 1
.. .x3.x *b3.x ♦ 0 24 | 0 0 0 0 0 12 12 12 | 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 6 | * * * * * * * * * * * * * 8 | 0 0 0 0 1 1
------------------+--------+--------------------------+-------------------------------------------------+-------------------------------------+-------------
x.3o.3x. *b3x. ♦ 96 0 | 96 96 96 0 0 0 0 0 | 32 48 48 32 32 48 0 0 0 0 0 0 0 0 0 0 | 8 8 24 8 0 0 0 0 0 0 0 0 0 0 | 1 * * * * *
xx3ox3xx ..&#x ♦ 12 24 | 12 12 0 24 12 12 12 0 | 4 6 0 4 0 0 12 12 12 0 4 6 0 4 0 0 | 1 0 0 0 4 6 0 4 0 0 1 0 0 0 | * 8 * * * *
xx3ox .. *b3xx&#x ♦ 12 24 | 12 0 12 24 12 12 0 12 | 4 0 6 0 4 0 12 12 0 12 4 0 6 0 4 0 | 0 1 0 0 4 0 6 0 4 0 0 1 0 0 | * * 8 * * *
xx .. xx xx&#x ♦ 8 8 | 4 4 4 8 4 0 4 4 | 0 2 2 0 0 2 4 0 4 4 0 2 2 0 0 2 | 0 0 1 0 0 2 2 0 0 2 0 0 1 0 | * * * 24 * *
.. ox3xx *b3xx&#x ♦ 12 24 | 0 12 12 24 0 12 12 12 | 0 0 0 4 4 6 0 12 12 12 0 0 0 4 4 6 | 0 0 0 1 0 0 0 4 4 6 0 0 0 1 | * * * * 8 *
.x3.x3.x *b3.x ♦ 0 192 | 0 0 0 0 96 96 96 96 | 0 0 0 0 0 0 0 0 0 0 32 48 48 32 32 48 | 0 0 0 0 0 0 0 0 0 0 8 8 24 8 | * * * * * 1
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