Acronym ...
Name v f5/2o,
variation of 5/2-prism,
vertex figure of ragashi
Circumradius sqrt[(35-sqrt(5))/40] = 0.905040
General of army v x5o
Colonel of regiment (is itself locally convex)
Confer nd-p   stip   f x5/2o   x f5/2o  

Incidence matrix according to Dynkin symbol

v f5/2o

. .   . | 10 | 1  2 | 2 1
--------+----+------+----
v .   . |  2 | 5  * | 2 0
. f   . |  2 | * 10 | 1 1
--------+----+------+----
v f   . |  4 | 2  2 | 5 *
. f5/2o |  5 | 0  5 | * 2

ff5/2oo&#v   → height = (sqrt(5)-1)/2 = 0.618034
(f-{5/2} || f-{5/2})

o.5/2o.    | 5 * | 2 1 0 | 1 2 0
.o5/2.o    | * 5 | 0 1 2 | 0 2 1
-----------+-----+-------+------
f.   ..    | 2 0 | 5 * * | 1 1 0
oo5/2oo&#v | 1 1 | * 5 * | 0 2 0
.f   ..    | 0 2 | * * 5 | 0 1 1
-----------+-----+-------+------
f.5/2o.    | 5 0 | 5 0 0 | 1 * *
ff   ..&#v | 2 2 | 1 2 1 | * 5 *
.f5/2.o    | 0 5 | 0 0 5 | * * 1

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