Acronym epcu, J20
Name elongated pentagonal cupola
 
 © ©
Vertex figures [3,4,5,4], [3,43], [42,10]
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Confer
related Johnson solids:
pecu   epobcu  
uniform relative:
dip  
general polytopal classes:
Johnson solids   bistratic lace towers  
External
links
wikipedia   mathworld   quickfur  

Incidence matrix according to Dynkin symbol

xxx5oxx&#xt   → height(1,2) = sqrt((5-sqrt(5))/10) = 0.525731
                height(2,3) = 1
({5} || pseudo {10} || {10})

o..5o..    | 5  *  * | 2  2 0 0  0 0 0 | 1 2 1 0 0 0
.o.5.o.    | * 10  * | 0  1 1 1  1 0 0 | 0 1 1 1 1 0
..o5..o    | *  * 10 | 0  0 0 0  1 1 1 | 0 0 0 1 1 1
-----------+---------+-----------------+------------
x.. ...    | 2  0  0 | 5  * * *  * * * | 1 1 0 0 0 0
oo.5oo.&#x | 1  1  0 | * 10 * *  * * * | 0 1 1 0 0 0
.x. ...    | 0  2  0 | *  * 5 *  * * * | 0 1 0 1 0 0
... .x.    | 0  2  0 | *  * * 5  * * * | 0 0 1 0 1 0
.oo5.oo&#x | 0  1  1 | *  * * * 10 * * | 0 0 0 1 1 0
..x ...    | 0  0  2 | *  * * *  * 5 * | 0 0 0 1 0 1
... ..x    | 0  0  2 | *  * * *  * * 5 | 0 0 0 0 1 1
-----------+---------+-----------------+------------
x..5o..    | 5  0  0 | 5  0 0 0  0 0 0 | 1 * * * * *
xx. ...&#x | 2  2  0 | 1  2 1 0  0 0 0 | * 5 * * * *
... ox.&#x | 1  2  0 | 0  2 0 1  0 0 0 | * * 5 * * *
.xx ...&#x | 0  2  2 | 0  0 1 0  2 1 0 | * * * 5 * *
... .xx&#x | 0  2  2 | 0  0 0 1  2 0 1 | * * * * 5 *
..x5..x    | 0  0 10 | 0  0 0 0  0 5 5 | * * * * * 1

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