Acronym ricoatico Name (degenerate) rico atop tico Circumradius ∞   i.e. flat in euclidean space Confer general polytopal classes: lace simplices   decomposition

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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