Acronym aupip, J52 Name augmented pentagonal prism ` © ©` Vertex figure [34], [32,4,5], [42,5] General of army (is itself convex) Colonel of regiment (is itself locally convex) Confer related Johnson solids: squippy   baupip   pip   general polytopal classes: Johnson solids Externallinks

Incidence matrix according to Dynkin symbol

```oxxx oxfo&#xt   → height(1,2) = 1/sqrt(2) = 0.707107
height(2,3) = sqrt[(5+sqrt(5))/8] = 0.951057
height(3,4) = sqrt[(5-sqrt(5))/8] = 0.587785
(pt || pseudo {4} || pseudo (x,f)-{4} || line)

o... o...     | 1 * * * | 4 0 0 0 0 0 0 | 2 2 0 0 0
.o.. .o..     | * 4 * * | 1 1 1 1 0 0 0 | 1 1 1 1 0
..o. ..o.     | * * 4 * | 0 0 0 1 1 1 0 | 0 0 1 1 1
...o ...o     | * * * 2 | 0 0 0 0 0 2 1 | 0 0 0 1 2
--------------+---------+---------------+----------
oo.. oo..&#x  | 1 1 0 0 | 4 * * * * * * | 1 1 0 0 0
.x.. ....     | 0 2 0 0 | * 2 * * * * * | 1 0 1 0 0
.... .x..     | 0 2 0 0 | * * 2 * * * * | 0 1 0 1 0
.oo. .oo.&#x  | 0 1 1 0 | * * * 4 * * * | 0 0 1 1 0
..x. ....     | 0 0 2 0 | * * * * 2 * * | 0 0 1 0 1
..oo ..oo&#x  | 0 0 1 1 | * * * * * 4 * | 0 0 0 1 1
...x ....     | 0 0 0 2 | * * * * * * 1 | 0 0 0 0 2
--------------+---------+---------------+----------
ox.. ....&#x  | 1 2 0 0 | 2 1 0 0 0 0 0 | 2 * * * *
.... ox..&#x  | 1 2 0 0 | 2 0 1 0 0 0 0 | * 2 * * *
.xx. ....&#x  | 0 2 2 0 | 0 1 0 2 1 0 0 | * * 2 * *
.... .xfo&#xt | 0 2 2 1 | 0 0 1 2 0 2 0 | * * * 2 *
..xx ....&#x  | 0 0 2 2 | 0 0 0 0 1 2 1 | * * * * 2
```