Acronym ...
Name uo ou&#h,
shorter variant of digonal antiprism
Circumradius sqrt(5)/2 = 1.118034
Lace city
in approx. ASCII-art 
o   o
  u
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Face vector 4, 6, 4
Confer
uniform variant:
tet  
variations:
xo ox&#q   xo oq&#q   ho oh&#q   xo ox&#h   qo oq&#h   qo ou&#h   xo ox&#k  

Incidence matrix according to Dynkin symbol

uo ou&#h   → height = 1/2
(u-line || perp u-line – with h-lacings)

o. o.    | 2 * | 1 2 0 | 2 1
.o .o    | * 2 | 0 2 1 | 1 2
---------+-----+-------+----
u. ..    | 2 0 | 1 * * | 2 0
oo oo&#h | 1 1 | * 4 * | 1 1
.. .u    | 0 2 | * * 1 | 0 2
---------+-----+-------+----
uo ..&#h | 2 1 | 1 2 0 | 2 *  verf(taztrat)
.. ou&#h | 1 2 | 0 2 1 | * 2  verf(taztrat)

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