Acronym ...
Name xo ox&#k,
longer variant of digonal antiprism,
vertex figure of cont
Circumradius sqrt[(5+2 sqrt(2))/8] = 0.989219
Lace city
in approx. ASCII-art
o o
   
   
   
 x 
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Confer
uniform variant:
tet  
variations:
xo ox&#q   xo ox&#h   ho oh&#q  

Incidence matrix according to Dynkin symbol

xo ox&#k   → height = (1+sqrt(2))/2 = 1.707107
             k = x(8,2) = sqrt[2+sqrt(2)] = 1.847759
(line || perp line – with k-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&#k | 1 1 | * 4 * | 1 1
.. .x    | 0 2 | * * 1 | 0 2
---------+-----+-------+----
xo ..&#k | 2 1 | 1 2 0 | 2 *  verf(tic)
.. ox&#k | 1 2 | 0 2 1 | * 2  verf(tic)

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