Acronym pippy, K-4.141 Name pentagonal-prismatic pyramid,vertex pyramid of the rectified hexacosachoron Segmentochoron display Circumradius sqrt[5+2 sqrt(5)] = 3.077684 Dihedral angles at {3} between squippy and squippy:   arccos[-(1+3 sqrt(5))/8] = 164.477512° at {3} between peppy and squippy:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244° at {5} between peppy and pip:   18° at {4} between pip and squippy:   arccos(sqrt[(5+2 sqrt(5))/10]) = 13.282526° Confer general pyramids: pt || n-p   uniform relative: rox   general polytopal classes: segmentochora Externallinks

As abstract polytope pippy is isomorphic to stippy, thereby replacing pentagons by pentagrams resp. replacing pip by stip and peppy by stappy.

Incidence matrix according to Dynkin symbol

```ox ox5oo&#x   → height = sqrt[(5-2 sqrt(5))/20] = 0.162460
(pt || pip)

o. o.5o.    | 1  * ♦ 10 0  0 | 5 10 0 0 | 5 2 0
.o .o5.o    | * 10 |  1 1  2 | 1  2 2 1 | 2 1 1
------------+------+---------+----------+------
oo oo5oo&#x | 1  1 | 10 *  * | 1  2 0 0 | 2 1 0
.x .. ..    | 0  2 |  * 5  * | 1  0 2 0 | 2 0 1
.. .x ..    | 0  2 |  * * 10 | 0  1 1 1 | 1 1 1
------------+------+---------+----------+------
ox .. ..&#x | 1  2 |  2 1  0 | 5  * * * | 2 0 0
.. ox ..&#x | 1  2 |  2 0  1 | * 10 * * | 1 1 0
.x .x ..    | 0  4 |  0 2  2 | *  * 5 * | 1 0 1
.. .x5.o    | 0  5 |  0 0  5 | *  * * 2 | 0 1 1
------------+------+---------+----------+------
ox ox ..&#x ♦ 1  4 |  4 2  2 | 2  2 1 0 | 5 * *
.. ox5oo&#x ♦ 1  5 |  5 0  5 | 0  5 0 1 | * 2 *
.x .x5.o    ♦ 0 10 |  0 5 10 | 0  0 5 2 | * * 1
```

```{5} || peppy   → height = (sqrt(5)-1)/4 = 0.309017

5 * * | 2 1 1 0 0 | 1 2 2 1 0 0 | 1 1 2 0
* 1 * ♦ 0 5 0 5 0 | 0 5 0 5 5 0 | 1 0 5 1
* * 5 | 0 0 1 1 2 | 0 0 2 1 2 1 | 0 1 2 1
--------+-----------+-------------+--------
2 0 0 | 5 * * * * | 1 1 1 0 0 0 | 1 1 1 0
1 1 0 | * 5 * * * | 0 2 0 1 0 0 | 1 0 2 0
1 0 1 | * * 5 * * | 0 0 2 1 0 0 | 0 1 2 0
0 1 1 | * * * 5 * | 0 0 0 1 2 0 | 0 0 2 1
0 0 2 | * * * * 5 | 0 0 1 0 1 1 | 0 1 1 1
--------+-----------+-------------+--------
5 0 0 | 5 0 0 0 0 | 1 * * * * * | 1 1 0 0
2 1 0 | 1 2 0 0 0 | * 5 * * * * | 1 0 1 0
2 0 2 | 1 0 2 0 1 | * * 5 * * * | 0 1 1 0
1 1 1 | 0 1 1 1 0 | * * * 5 * * | 0 0 2 0
0 1 2 | 0 0 0 2 1 | * * * * 5 * | 0 0 1 1
0 0 5 | 0 0 0 0 5 | * * * * * 1 | 0 1 0 1
--------+-----------+-------------+--------
♦ 5 1 0 | 5 5 0 0 0 | 1 5 0 0 0 0 | 1 * * *
♦ 5 0 5 | 5 0 5 0 5 | 1 0 5 0 0 1 | * 1 * *
♦ 2 1 2 | 1 2 2 2 1 | 0 1 1 2 1 0 | * * 5 *
♦ 0 1 5 | 0 0 0 5 5 | 0 0 0 0 5 1 | * * * 1
```