Acronym 5,n-dippip Name pentagon - n-gon duoprismatic prism Circumradius sqrt[(15+2 sqrt(5))/20+1/(4 sin2(π/n))] Especially trapip (n=3)   pecube (n=4)   pepip (n=5)   pehip (n=6)   pop (n=8) Confer general duoprism-prisms: n,m-dippip   general polytopal classes: segmentotera

Incidence matrix according to Dynkin symbol

```x x5o xno   (n>2)

. . . . . | 10n |  1   2   2 |  2  2  1   4  1 | 1  4 1  2  2 | 2 2 1
----------+-----+------------+-----------------+--------------+------
x . . . . |   2 | 5n   *   * |  2  2  0   0  0 | 1  4 1  0  0 | 2 2 0
. x . . . |   2 |  * 10n   * |  1  0  1   2  0 | 1  2 0  2  1 | 2 1 1
. . . x . |   2 |  *   * 10n |  0  1  0   2  1 | 0  2 1  1  2 | 1 2 1
----------+-----+------------+-----------------+--------------+------
x x . . . |   4 |  2   2   0 | 5n  *  *   *  * | 1  2 0  0  0 | 2 1 0
x . . x . |   4 |  2   0   2 |  * 5n  *   *  * | 0  2 1  0  0 | 1 2 0
. x5o . . |   5 |  0   5   0 |  *  * 2n   *  * | 1  0 0  2  0 | 2 0 1
. x . x . |   4 |  0   2   2 |  *  *  * 10n  * | 0  1 0  1  1 | 1 1 1
. . . xno |   n |  0   0   n |  *  *  *   * 10 | 0  0 1  0  2 | 0 2 1
----------+-----+------------+-----------------+--------------+------
x x5o . . ♦  10 |  5  10   0 |  5  0  2   0  0 | n  * *  *  * | 2 0 0
x x . x . ♦   8 |  4   4   4 |  2  2  0   2  0 | * 5n *  *  * | 1 1 0
x . . xno ♦  2n |  n   0  2n |  0  n  0   0  2 | *  * 5  *  * | 0 2 0
. x5o x . ♦  10 |  0  10   5 |  0  0  2   5  0 | *  * * 2n  * | 1 0 1
. x . xno ♦  2n |  0   n  2n |  0  0  0   n  2 | *  * *  * 10 | 0 1 1
----------+-----+------------+-----------------+--------------+------
x x5o x . ♦  20 | 10  20  10 | 10  5  4  10  0 | 2  5 0  2  0 | n * *
x x . xno ♦  4n | 2n  2n  4n |  n 2n  0  2n  4 | 0  n 2  0  2 | * 5 *
. x5o xno ♦  5n |  0  5n  5n |  0  0  n  5n  5 | 0  0 0  n  5 | * * 2
```

```xx5oo xxnoo&#x   (n>2)   → height = 1
({5}{n}-dip || {5}{n}-dip)

o.5o. o.no.    | 5n  * |  2  2  1  0  0 | 1  4 1  2  2 0  0 0 | 2 2 1  4 1 0 0 | 1 2 2 0
.o5.o .on.o    |  * 5n |  0  0  1  2  2 | 0  0 0  2  2 1  4 1 | 0 0 1  4 1 2 2 | 0 2 2 1
---------------+-------+----------------+---------------------+----------------+--------
x. .. .. ..    |  2  0 | 5n  *  *  *  * | 1  2 0  1  0 0  0 0 | 2 1 1  2 0 0 0 | 1 2 1 0
.. .. x. ..    |  2  0 |  * 5n  *  *  * | 0  2 1  0  1 0  0 0 | 1 2 0  2 1 0 0 | 1 1 2 0
oo5oo oonoo&#x |  1  1 |  *  * 5n  *  * | 0  0 0  2  2 0  0 0 | 0 0 1  4 1 0 0 | 0 2 2 0
.x .. .. ..    |  0  2 |  *  *  * 5n  * | 0  0 0  1  0 1  2 0 | 0 0 1  2 0 2 1 | 0 2 1 1
.. .. .x ..    |  0  2 |  *  *  *  * 5n | 0  0 0  0  1 0  2 1 | 0 0 0  2 1 1 2 | 0 1 2 1
---------------+-------+----------------+---------------------+----------------+--------
x.5o. .. ..    |  5  0 |  5  0  0  0  0 | n  * *  *  * *  * * | 2 0 1  0 0 0 0 | 1 2 0 0
x. .. x. ..    |  4  0 |  2  2  0  0  0 | * 5n *  *  * *  * * | 1 1 0  1 0 0 0 | 1 1 1 0
.. .. x.no.    |  n  0 |  0  n  0  0  0 | *  * 5  *  * *  * * | 0 2 0  0 1 0 0 | 1 0 2 0
xx .. .. ..&#x |  2  2 |  1  0  2  1  0 | *  * * 5n  * *  * * | 0 0 1  2 0 0 0 | 0 2 1 0
.. .. xx ..&#x |  2  2 |  0  1  2  0  1 | *  * *  * 5n *  * * | 0 0 0  2 1 0 0 | 0 1 2 0
.x5.o .. ..    |  0  5 |  0  0  0  5  0 | *  * *  *  * n  * * | 0 0 1  0 0 2 0 | 0 2 0 1
.x .. .x ..    |  0  4 |  0  0  0  2  2 | *  * *  *  * * 5n * | 0 0 0  1 0 1 1 | 0 1 1 1
.. .. .xn.o    |  0  n |  0  0  0  0  n | *  * *  *  * *  * 5 | 0 0 0  0 1 0 2 | 0 0 2 1
---------------+-------+----------------+---------------------+----------------+--------
x.5o. x. ..    ♦ 10  0 | 10  5  0  0  0 | 2  5 0  0  0 0  0 0 | n * *  * * * * | 1 1 0 0
x. .. x.no.    ♦ 2n  0 |  n 2n  0  0  0 | 0  n 2  0  0 0  0 0 | * 5 *  * * * * | 1 0 1 0
xx5oo .. ..&#x ♦  5  5 |  5  0  5  5  0 | 1  0 0  5  0 1  0 0 | * * n  * * * * | 0 2 0 0
xx .. xx ..&#x ♦  4  4 |  2  2  4  2  2 | 0  1 0  2  2 0  1 0 | * * * 5n * * * | 0 1 1 0
.. .. xxnoo&#x ♦  n  n |  0  n  n  0  n | 0  0 1  0  n 0  0 1 | * * *  * 5 * * | 0 0 2 0
.x5.o .x ..    ♦  0 10 |  0  0  0 10  5 | 0  0 0  0  0 2  5 0 | * * *  * * n * | 0 1 0 1
.x .. .xn.o    ♦  0 2n |  0  0  0  n 2n | 0  0 0  0  0 0  n 2 | * * *  * * * 5 | 0 0 1 1
---------------+-------+----------------+---------------------+----------------+--------
x.5o. x.no.    ♦ 5n  0 | 5n 5n  0  0  0 | n 5n 5  0  0 0  0 0 | n 5 0  0 0 0 0 | 1 * * *
xx5oo xx ..&#x ♦ 10 10 | 10  5 10 10  5 | 2  5 0 10  5 2  5 0 | 1 0 2  5 0 1 0 | * n * *
xx .. xxnoo&#x ♦ 2n 2n |  n 2n 2n  n 2n | 0  n 2  n 2n 0  n 2 | 0 1 0  n 2 0 1 | * * 5 *
.x5.o .xn.o    ♦  0 5n |  0  0  0 5n 5n | 0  0 0  0  0 n 5n 5 | 0 0 0  0 0 n 5 | * * * 1
```