Acronym ...
Name xo3ox&#q,
longer variant of trigonal antiprism,
vertex figure of spid
Circumradius sqrt(3)/2 = 0.866025
Lace city
in approx. ASCII-art
 x o
    
o x 
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Confer
uniform variant:
oct  
variations:
qo3oq&#x  
general antiprisms:
n-ap  

Incidence matrix according to Dynkin symbol

xo3ox&#q   → height = sqrt(5/3) = 1.290994
({3} || dual {3} – with q-lacings)

o.3o.    | 3 * | 2 2 0 | 1 2 1 0
.o3.o    | * 3 | 0 2 2 | 0 1 2 1
---------+-----+-------+--------
x. ..    | 2 0 | 3 * * | 1 1 0 0
oo3oo&#q | 1 1 | * 6 * | 0 1 1 0
.. .x    | 0 2 | * * 3 | 0 0 1 1
---------+-----+-------+--------
x.3o.    | 3 0 | 3 0 0 | 1 * * *  verf(tet)
xo ..&#q | 2 1 | 1 2 0 | * 3 * *  verf(trip)
.. ox&#q | 1 2 | 0 2 1 | * * 3 *  verf(trip)
.o3.x    | 0 3 | 0 0 3 | * * * 1  verf(tet)

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