Acronym ...
Name xo3oo&#q,
longer variant of trigonal pyramid,
vertex figure of tepe
Circumradius sqrt(3/5) = 0.774597
Lace city
in approx. ASCII-art
 o 
   
x o
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Confer
uniform variant:
tet  
variations:
qo3oo&#x  
general pyramid:
n/d-py  

Incidence matrix according to Dynkin symbol

xo3oo&#q   → height = sqrt(5/3) = 1.290994
({3} || pt – with q-lacings)

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

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