Acronym rapaltip Name (degenerate) rap atop inverted tip Circumradius ∞   i.e. flat in euclidean space Confer general polytopal classes: decomposition   lace simplices

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

```ox3ox3xo3oo&#x   → height = 0
(rap || inv tip)

o.3o.3o.3o.    | 10  * |  6  6  0  0 |  6  3  3  3 12  0  0 | 2 3  1  6  6  6 0 0 | 1 2  3 3 0
.o3.o3.o3.o    |  * 20 |  0  3  1  3 |  0  0  3  3  3  3  3 | 0 0  3  3  3  1 3 1 | 0 3  1 1 1
---------------+-------+-------------+----------------------+---------------------+-----------
.. .. x. ..    |  2  0 | 30  *  *  * |  2  1  0  0  2  0  0 | 1 2  0  1  2  2 0 0 | 1 1  1 2 0
oo3oo3oo3oo&#x |  1  1 |  * 60  *  * |  0  0  1  1  2  0  0 | 0 0  1  2  2  1 0 0 | 0 2  1 1 0
.x .. .. ..    |  0  2 |  *  * 10  * |  0  0  3  0  0  3  0 | 0 0  3  3  0  0 3 0 | 0 3  1 0 1
.. .x .. ..    |  0  2 |  *  *  * 30 |  0  0  0  1  0  1  2 | 0 0  1  0  2  0 2 1 | 0 2  0 1 1
---------------+-------+-------------+----------------------+---------------------+-----------
.. o.3x. ..    |  3  0 |  3  0  0  0 | 20  *  *  *  *  *  * | 1 1  0  0  1  0 0 0 | 1 1  0 1 0
.. .. x.3o.    |  3  0 |  3  0  0  0 |  * 10  *  *  *  *  * | 0 2  0  0  0  2 0 0 | 1 0  1 2 0
ox .. .. ..&#x |  1  2 |  0  2  1  0 |  *  * 30  *  *  *  * | 0 0  1  2  0  0 0 0 | 0 2  1 0 0
.. ox .. ..&#x |  1  2 |  0  2  0  1 |  *  *  * 30  *  *  * | 0 0  1  0  2  0 0 0 | 0 2  1 0 0
.. .. xo ..&#x |  2  1 |  1  2  0  0 |  *  *  *  * 60  *  * | 0 0  0  1  1  1 0 0 | 0 1  1 1 0
.x3.x .. ..    |  0  6 |  0  0  3  3 |  *  *  *  *  * 10  * | 0 0  1  0  0  0 2 0 | 0 2  0 0 1
.. .x3.o ..    |  0  3 |  0  0  0  3 |  *  *  *  *  *  * 20 | 0 0  0  0  1  0 1 1 | 0 1  0 1 1
---------------+-------+-------------+----------------------+---------------------+-----------
o.3o.3x. ..    ♦  4  0 |  6  0  0  0 |  4  0  0  0  0  0  0 | 5 *  *  *  *  * * * | 1 1  0 0 0
.. o.3x.3o.    ♦  6  0 | 12  0  0  0 |  4  4  0  0  0  0  0 | * 5  *  *  *  * * * | 1 0  0 1 0
ox3ox .. ..&#x ♦  1  6 |  0  6  3  3 |  0  0  3  3  0  1  0 | * * 10  *  *  * * * | 0 2  0 0 0
ox .. xo ..&#x ♦  2  2 |  1  4  1  0 |  0  0  2  0  2  0  0 | * *  * 30  *  * * * | 0 1  1 0 0
.. ox3xo ..&#x ♦  3  3 |  3  6  0  3 |  1  0  0  3  3  0  1 | * *  *  * 20  * * * | 0 1  0 1 0
.. .. xo3oo&#x ♦  3  1 |  3  3  0  0 |  0  1  0  0  3  0  0 | * *  *  *  * 20 * * | 0 0  1 1 0
.x3.x3.o ..    ♦  0 12 |  0  0  6 12 |  0  0  0  0  0  4  4 | * *  *  *  *  * 5 * | 0 1  0 0 1
.. .x3.o3.o    ♦  0  4 |  0  0  0  6 |  0  0  0  0  0  0  4 | * *  *  *  *  * * 5 | 0 0  0 1 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 | 1 *  * * *
ox3ox3xo ..&#x ♦  4 12 |  6 24  6 12 |  4  0 12 12 12  4  4 | 1 0  4  6  4  0 1 0 | * 5  * * *
ox .. xo3oo&#x ♦  3  2 |  3  6  1  0 |  0  1  3  0  6  0  0 | 0 0  0  3  0  2 0 0 | * * 10 * *
.. ox3xo3oo&#x ♦  6  4 | 12 12  0  6 |  4  4  0  6 12  0  4 | 0 1  0  0  4  4 0 1 | * *  * 5 *
.x3.x3.o3.o    ♦  0 20 |  0  0 10 30 |  0  0  0  0  0 10 20 | 0 0  0  0  0  0 5 5 | * *  * * 1
```