﻿ pennatip
 Acronym pennatip Name pen atop tip,pen-first cap of rin Circumradius sqrt(2) = 1.414214 Confer uniform relative: rin   general polytopal classes: segmentotera   lace simplices

Incidence matrix according to Dynkin symbol

```oo3oo3ox3xx&#x   → height = sqrt(2/5) = 0.632456
(pen || tip)

o.3o.3o.3o.    | 5  * |  4  4  0  0 |  6  6  4  0  0 | 4  4  6 0 0 | 1 1 4 0
.o3.o3.o3.o    | * 20 |  0  1  3  1 |  0  3  1  3  3 | 0  3  3 1 3 | 0 1 3 1
---------------+------+-------------+----------------+-------------+--------
.. .. .. x.    | 2  0 | 10  *  *  * |  3  0  1  0  0 | 3  0  3 0 0 | 1 0 3 0
oo3oo3oo3oo&#x | 1  1 |  * 20  *  * |  0  3  1  0  0 | 0  3  3 0 0 | 0 1 3 0
.. .. .x ..    | 0  2 |  *  * 30  * |  0  1  0  2  1 | 0  2  1 1 2 | 0 1 2 1
.. .. .. .x    | 0  2 |  *  *  * 10 |  0  0  1  0  3 | 0  0  3 0 3 | 0 0 3 1
---------------+------+-------------+----------------+-------------+--------
.. .. o.3x.    | 3  0 |  3  0  0  0 | 10  *  *  *  * | 2  0  1 0 0 | 1 0 2 0
.. .. ox ..&#x | 1  2 |  0  2  1  0 |  * 30  *  *  * | 0  2  1 0 0 | 0 1 2 0
.. .. .. xx&#x | 2  2 |  1  2  0  1 |  *  * 10  *  * | 0  0  3 0 0 | 0 0 3 0
.. .o3.x ..    | 0  3 |  0  0  3  0 |  *  *  * 20  * | 0  1  0 1 1 | 0 1 1 1
.. .. .x3.x    | 0  6 |  0  0  3  3 |  *  *  *  * 10 | 0  0  1 0 2 | 0 0 2 1
---------------+------+-------------+----------------+-------------+--------
.. o.3o.3x.    ♦ 4  0 |  6  0  0  0 |  4  0  0  0  0 | 5  *  * * * | 1 0 1 0
.. oo3ox ..&#x ♦ 1  3 |  0  3  3  0 |  0  3  0  1  0 | * 20  * * * | 0 1 1 0
.. .. ox3xx&#x ♦ 3  6 |  3  6  3  3 |  1  3  3  0  1 | *  * 10 * * | 0 0 2 0
.o3.o3.x ..    ♦ 0  4 |  0  0  6  0 |  0  0  0  4  0 | *  *  * 5 * | 0 1 0 1
.. .o3.x3.x    ♦ 0 12 |  0  0 12  6 |  0  0  0  4  4 | *  *  * * 5 | 0 0 1 1
---------------+------+-------------+----------------+-------------+--------
o3 o.3o.3x.    ♦ 5  0 | 10  0  0  0 | 10  0  0  0  0 | 5  0  0 0 0 | 1 * * *
oo3oo3ox ..&#x ♦ 1  4 |  0  4  6  0 |  0  6  0  4  0 | 0  4  0 1 0 | * 5 * *
.. oo3ox3xx&#x ♦ 4 12 |  6 12 12  6 |  4 12  6  4  4 | 1  4  4 0 1 | * * 5 *
.o3.o3.x3.x    ♦ 0 20 |  0  0 30 10 |  0  0  0 20 10 | 0  0  0 5 5 | * * * 1
```