Acronym ...
Name x f5/2o,
variation of 5/2-prism,
vertex figure of rofix
Circumradius sqrt[(15+2 sqrt(5))/20] = 0.986715
General of army pip
Colonel of regiment (is itself locally convex)
Face vector 10, 15, 7
Confer nd-p   stip   f x5/2o   v f5/2o  

Incidence matrix according to Dynkin symbol

x2β5o

both( . . . ) | 10 | 1  2 | 1 2
--------------+----+------+----
both( x . . ) |  2 | 5  * | 0 2
sefa( . β5o ) |  2 | * 10 | 1 1  f
--------------+----+------+----
      . β5o     5 | 0  5 | 2 *
sefa( x2β5o ) |  4 | 2  2 | * 5

starting figure: x x5o

x f5/2o

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

ff5/2oo&#x   → height = 1
(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&#x | 1 1 | * 5 * | 0 2 0
.f   ..    | 0 2 | * * 5 | 0 1 1
-----------+-----+-------+------
f.5/2o.    | 5 0 | 5 0 0 | 1 * *
ff   ..&#x | 2 2 | 1 2 1 | * 5 *
.f5/2.o    | 0 5 | 0 0 5 | * * 1

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