Acronym pecu, J5
Name pentagonal cupola
 
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Circumradius sqrt[sqrt(5)+11/4] = 2.232951
Vertex figures [3,4,5,4], [3,4,10]
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Confer
related Johnson solids:
pobcu   epcu   epobcu   pocuro  
general cupolae:
n/d-cu  
uniform relative:
srid  
External
links
wikipedia   mathworld

Incidence matrix according to Dynkin symbol

xx5ox&#x   → height = sqrt((5-sqrt(5))/10) = 0.525731
({5} || {10})

o.5o.    | 5  * | 2  2 0 0 | 1 2 1 0
.o5.o    | * 10 | 0  1 1 1 | 0 1 1 1
---------+------+----------+--------
x. ..    | 2  0 | 5  * * * | 1 1 0 0
oo5oo&#x | 1  1 | * 10 * * | 0 1 1 0
.x ..    | 0  2 | *  * 5 * | 0 1 0 1
.. .x    | 0  2 | *  * * 5 | 0 0 1 1
---------+------+----------+--------
x.5o.    | 5  0 | 5  0 0 0 | 1 * * *
xx ..&#x | 2  2 | 1  2 1 0 | * 5 * *
.. ox&#x | 1  2 | 0  2 0 1 | * * 5 *
.x5.x    | 0 10 | 0  0 5 5 | * * * 1

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