Acronym ...
Name higher digonal cupola,
vertex figure of srip
Circumradius sqrt(23/28) = 0.906327
Lace city
in approx. ASCII-art
o o
   
x x
Confer
uniform variant:
trip  
variations:
v x3o   q x3o   f x3o   u x3o   x q3o   x f3o   x u3o   v f3o   f v3o  

Incidence matrix according to Dynkin symbol

xx ox&#q   → height = sqrt(7)/2 = 1.322876
(line || {4} – with q-lacings)

o. o.    | 2 * | 1 2 0 0 | 2 1 0
.o .o    | * 4 | 0 1 1 1 | 1 1 1
---------+-----+---------+------
x. ..    | 2 0 | 1 * * * | 2 0 0
oo oo&#q | 1 1 | * 4 * * | 1 1 0
.x ..    | 0 2 | * * 2 * | 1 0 1
.. .x    | 0 2 | * * * 2 | 0 1 1
---------+-----+---------+------
xx ..&#q | 2 2 | 1 2 1 0 | 2 * *
.. ox&#q | 1 2 | 0 2 0 1 | * 2 *
.x .x    | 0 4 | 0 0 2 2 | * * 1

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