Acronym ...
Name xo ox&#q,
longer variant of digonal antiprism,
vertex figure of triddip
Circumradius sqrt(5/8) = 0.790569
Lace city
in approx. ASCII-art 
o o
   
 x
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Face vector 4, 6, 4
Confer
uniform variant:
tet  
variations:
xo oq&#q   xo ox&#h   xo ox&#k   ho oh&#q  

Incidence matrix according to Dynkin symbol

xo ox&#q   → height = sqrt(3/2) = 1.224745
(line || perp line – with q-lacings)

o. o.    | 2 * | 1 2 0 | 2 1
.o .o    | * 2 | 0 2 1 | 1 2
---------+-----+-------+----
x. ..    | 2 0 | 1 * * | 2 0
oo oo&#q | 1 1 | * 4 * | 1 1
.. .x    | 0 2 | * * 1 | 0 2
---------+-----+-------+----
xo ..&#q | 2 1 | 1 2 0 | 2 *  verf(trip)
.. ox&#q | 1 2 | 0 2 1 | * 2  verf(trip)

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