Acronym trapen Name triangle - pentachoron duoprism Circumradius sqrt(11/15) = 0.856349 Confer n,pen-dip

Incidence matrix according to Dynkin symbol

```x3o x3o3o3o

. . . . . . | 15 |  2  4 | 1  8  6 |  4 12  4 |  6  8 1 | 4 2
------------+----+-------+---------+----------+---------+----
x . . . . . |  2 | 15  * | 1  4  0 |  4  6  0 |  6  4 0 | 4 1
. . x . . . |  2 |  * 30 | 0  2  3 |  1  6  3 |  3  6 1 | 3 2
------------+----+-------+---------+----------+---------+----
x3o . . . . |  3 |  3  0 | 5  *  * ♦  4  0  0 |  6  0 0 | 4 0
x . x . . . |  4 |  2  2 | * 30  * |  1  3  0 |  3  3 0 | 3 1
. . x3o . . |  3 |  0  3 | *  * 30 |  0  2  2 |  1  4 1 | 2 2
------------+----+-------+---------+----------+---------+----
x3o x . . . ♦  6 |  6  3 | 2  3  0 | 10  *  * |  3  0 0 | 3 0
x . x3o . . ♦  6 |  3  6 | 0  3  2 |  * 30  * |  1  2 0 | 2 1
. . x3o3o . ♦  4 |  0  6 | 0  0  4 |  *  * 15 |  0  2 1 | 1 2
------------+----+-------+---------+----------+---------+----
x3o x3o . . ♦  9 |  9  9 | 3  9  3 |  3  3  0 | 10  * * | 2 0
x . x3o3o . ♦  8 |  4 12 | 0  6  8 |  0  4  2 |  * 15 * | 1 1
. . x3o3o3o ♦  5 |  0 10 | 0  0 10 |  0  0  5 |  *  * 3 | 0 2
------------+----+-------+---------+----------+---------+----
x3o x3o3o . ♦ 12 | 12 18 | 4 18 12 |  6 12  3 |  4  3 0 | 5 *
x . x3o3o3o ♦ 10 |  5 20 | 0 10 20 |  0 10 10 |  0  5 2 | * 3
```

```ox xx3oo3oo3oo&#x   → height = sqrt(3)/2 = 0.866025
(pen || penp)

o. o.3o.3o.3o.    | 5  * |  4  2 0  0 |  6 1  8  0  0 | 4  4 12  0  0 | 1  6  8 0 0 | 4 2 0
.o .o3.o3.o3.o    | * 10 |  0  1 1  4 |  0 1  4  4  6 | 0  4  6  6  4 | 0  6  4 4 1 | 4 1 1
------------------+------+------------+---------------+---------------+-------------+------
.. x. .. .. ..    | 2  0 | 10  * *  * |  3 0  2  0  0 | 3  1  6  0  0 | 1  3  6 0 0 | 3 2 0
oo oo3oo3oo3oo&#x | 1  1 |  * 10 *  * |  0 1  4  0  0 | 0  4  6  0  0 | 0  6  4 0 0 | 4 1 0
.x .. .. .. ..    | 0  2 |  *  * 5  * |  0 1  0  4  0 | 0  4  0  6  0 | 0  6  0 4 0 | 4 0 1
.. .x .. .. ..    | 0  2 |  *  * * 20 |  0 0  1  1  3 | 0  1  3  3  3 | 0  3  3 3 1 | 3 1 1
------------------+------+------------+---------------+---------------+-------------+------
.. x.3o. .. ..    | 3  0 |  3  0 0  0 | 10 *  *  *  * | 2  0  2  0  0 | 1  1  4 0 0 | 2 2 0
ox .. .. .. ..&#x | 1  2 |  0  2 1  0 |  * 5  *  *  * ♦ 0  4  0  0  0 | 0  6  0 0 0 | 4 0 0
.. xx .. .. ..&#x | 2  2 |  1  2 0  1 |  * * 20  *  * | 0  1  3  0  0 | 0  3  3 0 0 | 3 1 0
.x .x .. .. ..    | 0  4 |  0  0 2  2 |  * *  * 10  * | 0  1  0  3  0 | 0  3  0 3 0 | 3 0 1
.. .x3.o .. ..    | 0  3 |  0  0 0  3 |  * *  *  * 20 | 0  0  1  1  2 | 0  1  2 2 1 | 2 1 1
------------------+------+------------+---------------+---------------+-------------+------
.. x.3o.3o. ..    ♦ 4  0 |  6  0 0  0 |  4 0  0  0  0 | 5  *  *  *  * | 1  0  2 0 0 | 1 2 0
ox xx .. .. ..&#x ♦ 2  4 |  1  4 2  2 |  0 2  2  1  0 | * 10  *  *  * | 0  3  0 0 0 | 3 0 0
.. xx3oo .. ..&#x ♦ 3  3 |  3  3 0  3 |  1 0  3  0  1 | *  * 20  *  * | 0  1  2 0 0 | 2 1 0
.x .x3.o .. ..    ♦ 0  6 |  0  0 3  6 |  0 0  0  3  2 | *  *  * 10  * | 0  1  0 2 0 | 2 0 1
.. .x3.o3.o ..    ♦ 0  4 |  0  0 0  6 |  0 0  0  0  4 | *  *  *  * 10 | 0  0  1 1 1 | 1 1 1
------------------+------+------------+---------------+---------------+-------------+------
.. x.3o.3o.3o.    ♦ 5  0 | 10  0 0  0 | 10 0  0  0  0 | 5  0  0  0  0 | 1  *  * * * | 0 2 0
ox xx3oo .. ..&#x ♦ 3  6 |  3  6 3  6 |  1 3  6  3  2 | 0  3  2  1  0 | * 10  * * * | 2 0 0
.. xx3oo3oo ..&#x ♦ 4  4 |  6  4 0  6 |  4 0  6  0  4 | 1  0  4  0  1 | *  * 10 * * | 1 1 0
.x .x3.o3.o ..    ♦ 0  8 |  0  0 4 12 |  0 0  0  6  8 | 0  0  0  4  2 | *  *  * 5 * | 1 0 1
.. .x3.o3.o3.o    ♦ 0  5 |  0  0 0 10 |  0 0  0  0 10 | 0  0  0  0  5 | *  *  * * 2 | 0 1 1
------------------+------+------------+---------------+---------------+-------------+------
ox xx3oo3oo ..&#x ♦ 4  8 |  6  8 4 12 |  4 4 12  6  8 | 1  6  8  4  2 | 0  4  2 1 0 | 5 * *
.. xx3oo3oo3oo&#x ♦ 5  5 | 10  5 0 10 | 10 0 10  0 10 | 5  0 10  0  5 | 1  0  5 0 1 | * 2 *
.x .x3.o3.o3.o    ♦ 0 10 |  0  0 5 20 |  0 0  0 10 20 | 0  0  0 10 10 | 0  0  0 5 2 | * * 1
```