Acronym ...
Name f x5/2o,
variation of 5/2-prism,
vertex figure of raghi
Circumradius sqrt[(35+sqrt(5))/40] = 0.964832
General of army f v5o
Colonel of regiment (is itself locally convex)
Confer
general prisms:
nd-p  
uniform variant:
stip  
variations:
x f5/2o   v f5/2o  

Incidence matrix according to Dynkin symbol

f x5/2o

. .   . | 10 | 1  2 | 2 1
--------+----+------+----
f .   . |  2 | 5  * | 2 0
. x   . |  2 | * 10 | 1 1
--------+----+------+----
f x   . |  4 | 2  2 | 5 *
. x5/2o |  5 | 0  5 | * 2

xx5/2oo&#f   → height = (1+sqrt(5))/2 = 1.618034
({5/2} || {5/2})

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

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